Professor Feng-yu Wang

Professor, Mathematics

+44 (0) 1792 295459

f.y.wang@swansea.ac.uk

Office - 203
Second Floor
Talbot Building
Singleton Campus

Research Links

https://orcid.org/0000-0003-0950-1672

About

Professor Feng-Yu Wang is a member of the Mathematics Department at Swansea University

Publications

Research Highlights

Wang, F. (2022). Killed distribution dependent SDE for nonlinear Dirichlet problem. Discrete and Continuous Dynamical Systems - S, 0(0), 0-0.
https://doi.org/10.3934/dcdss.2022205, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa62117
http://dx.doi.org/10.3934/dcdss.2022205
Wang, F. (n.d.) Distribution Dependent Reflecting Stochastic Differential Equations. Science China Mathematics
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa61956
Wang, F. (2022). Convergence in Wasserstein distance for empirical measures of Dirichlet diffusion processes on manifolds. Journal of the European Mathematical Society, 0
https://doi.org/10.4171/jems/1269, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa60533
Bogachev, V., Shaposhnikov, A., & Wang, F. (2022). Sobolev–Kantorovich inequalities under CD(0,∞) condition. Communications in Contemporary Mathematics, 24(05)
https://doi.org/10.1142/s0219199721500279, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa60173
Huang, X. & Wang, F. (2022). Singular McKean-Vlasov (reflecting) SDEs with distribution dependent noise. Journal of Mathematical Analysis and Applications, 514(1), 126301
https://doi.org/10.1016/j.jmaa.2022.126301, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59935
Huang, X., Song, Y., & Wang, F. (2022). Bismut formula for intrinsic/Lions derivatives of distribution dependent SDEs with singular coefficients. Discrete and Continuous Dynamical Systems, 42(9), 4597
https://doi.org/10.3934/dcds.2022065, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59877
Wang, F., Rockner, M., & Ren, P. (2022). Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations, 322
https://doi.org/10.1016/j.jde.2022.03.021, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59593
Wang, F. (2023). Convergence in Wasserstein distance for empirical measures of semilinear SPDEs. The Annals of Applied Probability, 33(1)
https://doi.org/10.1214/22-aap1807, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59501
http://dx.doi.org/10.1214/22-aap1807
Wang, F. (2023). Exponential ergodicity for non-dissipative McKean-Vlasov SDEs. Bernoulli, 29(2)
https://doi.org/10.3150/22-bej1489, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59478
http://dx.doi.org/10.3150/22-bej1489
Wang, F. & Wu, B. (n.d.) Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds. Potential Analysis, 25
https://doi.org/10.1007/s11118-022-09989-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59422
http://dx.doi.org/10.1007/s11118-022-09989-6

All Research

Journal Articles

Cheng, L., Thalmaier, A., & Wang, F. (2023). Some inequalities on Riemannian manifolds linking Entropy, Fisher information, Stein discrepancy and Wasserstein distance. Journal of Functional Analysis, 285(5), 109997
https://doi.org/10.1016/j.jfa.2023.109997, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63390
http://dx.doi.org/10.1016/j.jfa.2023.109997
Wang, F. (2023). Exponential ergodicity for non-dissipative McKean-Vlasov SDEs. Bernoulli, 29(2)
https://doi.org/10.3150/22-bej1489, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59478
http://dx.doi.org/10.3150/22-bej1489
Wang, F. (2023). Convergence in Wasserstein distance for empirical measures of semilinear SPDEs. The Annals of Applied Probability, 33(1)
https://doi.org/10.1214/22-aap1807, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59501
http://dx.doi.org/10.1214/22-aap1807
Wang, F. & Zhu, J. (2023). Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 59(1)
https://doi.org/10.1214/22-aihp1251, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59320
http://dx.doi.org/10.1214/22-aihp1251
Wang, F. (2022). Killed distribution dependent SDE for nonlinear Dirichlet problem. Discrete and Continuous Dynamical Systems - S, 0(0), 0-0.
https://doi.org/10.3934/dcdss.2022205, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa62117
http://dx.doi.org/10.3934/dcdss.2022205
Huang, X. & Wang, F. (2022). Singular McKean-Vlasov (reflecting) SDEs with distribution dependent noise. Journal of Mathematical Analysis and Applications, 514(1), 126301
https://doi.org/10.1016/j.jmaa.2022.126301, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59935
Wang, F. (2022). Convergence in Wasserstein distance for empirical measures of Dirichlet diffusion processes on manifolds. Journal of the European Mathematical Society, 0
https://doi.org/10.4171/jems/1269, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa60533
Wang, F. (2022). Convergence inWasserstein distance for empirical measures of Dirichlet diffusion processes on manifolds. Journal of the European Mathematical Society
https://doi.org/10.4171/jems/1269, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58141
Huang, X., Song, Y., & Wang, F. (2022). Bismut formula for intrinsic/Lions derivatives of distribution dependent SDEs with singular coefficients. Discrete and Continuous Dynamical Systems, 42(9), 4597
https://doi.org/10.3934/dcds.2022065, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59877
Wang, F., Rockner, M., & Ren, P. (2022). Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations, 322
https://doi.org/10.1016/j.jde.2022.03.021, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59593
Bogachev, V., Shaposhnikov, A., & Wang, F. (2022). Sobolev–Kantorovich inequalities under CD(0,∞) condition. Communications in Contemporary Mathematics, 24(05)
https://doi.org/10.1142/s0219199721500279, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa60173
Ren, P. & Wang, F. (2022). Derivative formulas in measure on Riemannian manifolds. Bulletin of the London Mathematical Society, 53(6), 1786-1800.
https://doi.org/10.1112/blms.12542, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56987
Wang, F. (2021). Wasserstein convergence rate for empirical measures on noncompact manifolds. Stochastic Processes and their Applications, 144(February 2022)
https://doi.org/10.1016/j.spa.2021.11.006, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58641
Wang, F. & Wu, J. (2021). On path independence of Girsanov transformation for stochastic differential equations. SCIENTIA SINICA Mathematica, 51(11), 1861-16.
https://doi.org/10.1360/ssm-2020-0287, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56016
Ren, P. & Wang, F. (2021). Donsker-Varadhan large deviations for path-distribution dependent SPDEs. Journal of Mathematical Analysis and Applications, 499(1), 125000
https://doi.org/10.1016/j.jmaa.2021.125000, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56087
Wang, F. (2021). Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes. Journal of Functional Analysis, 280(11), 108998
https://doi.org/10.1016/j.jfa.2021.108998, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56450
Wang, F. (2021). Image-dependent conditional McKean–Vlasov SDEs for measure-valued diffusion processes. Journal of Evolution Equations, 21(2), 2009-2045.
https://doi.org/10.1007/s00028-020-00665-z, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56013
Bao, J., Ren, P., & Wang, F. (2021). Bismut formula for Lions derivative of distribution-path dependent SDEs. Journal of Differential Equations, 282, 285-329.
https://doi.org/10.1016/j.jde.2021.02.019, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56247
Ren, P. & Wang, F. (2021). Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs. Nonlinear Analysis, 206, 112259
https://doi.org/10.1016/j.na.2021.112259, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56012
Huang, X. & Wang, F. (2021). Derivative estimates on distributions of McKean-Vlasov SDEs. Electronic Journal of Probability, 26(none)
https://doi.org/10.1214/21-ejp582, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56014
Huang, X. & Wang, F. (2020). Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance. Discrete & Continuous Dynamical Systems - A, 0(0), 0-0.
https://doi.org/10.3934/dcds.2020336, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55434
Wang, F. (2020). Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature. Potential Analysis, 53(3), 1123-1144.
https://doi.org/10.1007/s11118-019-09800-z, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51763
http://dx.doi.org/10.1007/s11118-019-09800-z
Bao, J., Wang, F., & Yuan, C. (2020). Limit theorems for additive functionals of path-dependent SDEs. Discrete & Continuous Dynamical Systems - A, 40(9), 5173-5188.
https://doi.org/10.3934/dcds.2020224, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa57826
Ren, P. & Wang, F. (2020). Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 23(03), 2050018
https://doi.org/10.1142/s0219025720500186, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53907
Bao, J., Wang, F., & Yuan, C. (2020). Ergodicity for neutral type SDEs with infinite length of memory. Mathematische Nachrichten
https://doi.org/10.1002/mana.201800539, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa51765
Wang, F. & Zhang, T. (2020). Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations. Acta Mathematicae Applicatae Sinica, English Series, 36(2), 253-261.
https://doi.org/10.1007/s10255-020-0926-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53374
Ren, P. & Wang, F. (2020). Spectral gap for measure-valued diffusion processes. Journal of Mathematical Analysis and Applications, 483(2), 123624
https://doi.org/10.1016/j.jmaa.2019.123624, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52773
Ren, P. & Wang, F. (2020). Spectral gap for measure-valued diffusion processes. Journal of Mathematical Analysis and Applications, 483(2), 123624
https://doi.org/10.1016/j.jmaa.2019.123624, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52586
Wang, F. & Zhang, T. (2020). Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations. Acta Mathematicae Applicatae Sinica, English Series, 36(2), 253-261.
https://doi.org/10.1007/s10255-020-0926-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa54090
Wang, F. (2020). GRADIENT AND HESSIAN ESTIMATES FOR DIRICHLET AND NEUMANN EIGENFUNCTIONS. The Quarterly Journal of Mathematics
https://doi.org/10.1093/qmathj/haz050, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52413
Huang, X., Röckner, M., & Wang, F. (2019). Nonlinear Fokker–Planck equations for probability measures on path space and path-distribution dependent SDEs. Discrete & Continuous Dynamical Systems - A, 39(6), 3017-3035.
https://doi.org/10.3934/dcds.2019125, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa50106
Wang, F. & Zhang, W. (2019). Nash inequality for diffusion processes associated with Dirichlet distributions. Frontiers of Mathematics in China
https://doi.org/10.1007/s11464-019-0807-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53264
Wang, F. & Wang, J. (2019). Isoperimetric Inequalities for Non-Local Dirichlet Forms. Potential Analysis
https://doi.org/10.1007/s11118-019-09804-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa52349
Ren, P. & Wang, F. (2019). Bismut formula for Lions derivative of distribution dependent SDEs and applications. Journal of Differential Equations, 267(8), 4745-4777.
https://doi.org/10.1016/j.jde.2019.05.016, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa50250
Grothaus, M. & Wang, F. (2019). Weak Poincaré inequalities for convergence rate of degenerate diffusion processes. The Annals of Probability, 47(5), 2930-2952.
https://doi.org/10.1214/18-aop1328, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa46123
http://dx.doi.org/10.1214/18-aop1328
Huang, X., Rockner, M., & Wang, F. (2019). Nonlinear Fokker--Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs. Discrete and Continuous Dynamical Systems, 39(6), 3017-3035.
https://doi.org/10.3934/dcds.2019125, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa46038
http://www.aimsciences.org/article/doi/10.3934/dcds.2019125
Bao, J., Wang, F., & Yuan, C. (2018). Asymptotic Log-Harnack inequality and applications for stochastic systems of infinite memory. Stochastic Processes and their Applications
https://doi.org/10.1016/j.spa.2018.12.010, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa47905
Huang, X. & Wang, F. (2018). Distribution dependent SDEs with singular coefficients. Stochastic Processes and their Applications
https://doi.org/10.1016/j.spa.2018.12.012, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa47904
Wang, F. (2018). Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds. The Journal of Geometric Analysis
https://doi.org/10.1007/s12220-018-0080-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43216
Wang, F. (2018). Estimates for invariant probability measures of degenerate SPDEs with singular and path-dependent drifts. Probability Theory and Related Fields, 172(3-4), 1181-1214.
https://doi.org/10.1007%2Fs00440-017-0827-4, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa39357
Wang, F. (2018). Distribution dependent SDEs for Landau type equations. Stochastic Processes and their Applications, 128(2), 595-621.
https://doi.org/10.1016/j.spa.2017.05.006, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa36034
Dong, Z., Wang, F., & Xu, L. (2018). Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes. Potential Analysis
https://doi.org/10.1007/s11118-018-9736-0, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43555
Huang, X. & Wang, F. (2018). Degenerate SDEs with singular drift and applications to Heisenberg groups. Journal of Differential Equations, 265(6), 2745-2777.
https://doi.org/10.1016/j.jde.2018.04.050, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa39596
https://authors.elsevier.com/tracking/article/details.do?aid=9321&jid=YJDEQ&surname=Wang
Arnaudon, M., Thalmaier, A., & Wang, F. (2018). Gradient Estimates on Dirichlet and Neumann Eigenfunctions. International Mathematics Research Notices
https://doi.org/10.1093/imrn/rny208, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43217
Jacob, N. & Wang, F. (2018). Higher order eigenvalues for non-local Schrödinger operators. Communications on Pure & Applied Analysis, 17(1), 191-208.
https://doi.org/10.3934/cpaa.2018012, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa36033
Wang, F. (2017). Poincare Inequality for Dirichlet Distributions and Inﬁnite-Dimensional Generalizations. Latin American Journal of Probability and Mathematical Statistics, XIV, 361-380.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa33010
http://alea.impa.br/english/index_v14.htm
Röckner, M. & Wang, F. (2017). Closability of quadratic forms associated to invariant probability measures of SPDEs. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 20(04), 1750023
https://doi.org/10.1142/S0219025717500230, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa33135
Wang, F. (2017). Integrability conditions for SDEs and semilinear SPDEs. The Annals of Probability, 45(5), 3223-3265.
https://doi.org/10.1214/16-AOP1135, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa32035
https://projecteuclid.org/euclid.aop/1506132037#info
Wang, F. (2017). Integrability conditions for SDEs and semilinear SPDEs. The Annals of Probability, 45(5), 3223-3265.
https://doi.org/10.1214/16-AOP1135, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa36032
Wang, F. (2017). Hypercontractivity and applications for stochastic Hamiltonian systems. Journal of Functional Analysis, 272(12), 5360-5383.
https://doi.org/10.1016/j.jfa.2017.03.015, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa32884
Huang, X. & Wang, F. (2017). Functional SPDE with Multiplicative Noise and Dini Drift. Annales de la faculté des sciences de Toulouse Mathématiques, 26(2), 519-537.
https://doi.org/10.5802/afst.1544, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa33134
Wang, F. (2016). Gradient estimates and applications for Neumann semigroup on narrow strip. Mathematische Zeitschrift, 282(1-2), 43-60.
https://doi.org/10.1007/s00209-015-1531-7, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26646
Wang, F. (2016). Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups. Science China Mathematics, 59(2), 261-280.
https://doi.org/10.1007/s11425-015-5084-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26648
Wang, F., Xiong, J., & Xu, L. (2016). Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations. Journal of Statistical Physics, 163(5), 1211-1234.
https://doi.org/10.1007/s10955-016-1513-0, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa28389
Feng, S. & Wang, F. (2016). Harnack Inequality and Applications for Infinite-Dimensional GEM Processes. Potential Analysis, 44(1), 137-153.
https://doi.org/10.1007/s11118-015-9502-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa28391
Wang, F. & Zhang, X. (2016). Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient. SIAM Journal on Mathematical Analysis, 48(3), 2189-2226.
https://doi.org/10.1137/15M1023671, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa29740
Wang, F. (2016). Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift. Journal of Differential Equations, 260(3), 2792-2829.
https://doi.org/10.1016/j.jde.2015.10.020, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa28388
http://dx.doi.org/10.1016/j.jde.2015.10.020
Wang, F. (2015). Asymptotic couplings by reflection and applications for nonlinear monotone SPDES. Nonlinear Analysis: Theory, Methods & Applications, 117, 169-188.
https://doi.org/10.1016/j.na.2015.01.012, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22158
Wang, F. (2015). Exponential convergence of non-linear monotone SPDEs. Discrete and Continuous Dynamical Systems, 35(11), 5239-5253.
https://doi.org/10.3934/dcds.2015.35.5239, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26637
Bao, J., Wang, F., & Yuan, C. (2015). Hypercontractivity for functional stochastic partial differential equations. Electronic Journal of Probability, 20(0)
https://doi.org/10.1214/EJP.v20-4108, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26638
Wang, F. & Zhang, X. (2015). Heat kernel for fractional diffusion operators with perturbations. Forum Mathematicum, 27(2)
https://doi.org/10.1515/forum-2012-0074, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26640
Wang, F., Xu, L., & Zhang, X. (2015). Gradient estimates for SDEs driven by multiplicative Lévy noise. Journal of Functional Analysis, 269(10), 3195-3219.
https://doi.org/10.1016/j.jfa.2015.09.007, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26642
Wang, F. & Wang, J. (2015). Functional Inequalities for Stable-Like Dirichlet Forms. Journal of Theoretical Probability, 28(2), 423-448.
https://doi.org/10.1007/s10959-013-0500-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa26643
Bao, J., Wang, F., & Yuan, C. (2015). Hypercontractivity for functional stochastic differential equations. Stochastic Processes and their Applications, 125(9), 3636-3656.
https://doi.org/10.1016/j.spa.2015.04.001, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22803
Wang, F. (2014). Integration by parts formula and shift Harnack inequality for stochastic equations. The Annals of Probability, 42(3), 994-1019.
https://doi.org/10.1214/13-AOP875, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22155
Wang, F. (2014). Criteria of spectral gap for Markov operators. Journal of Functional Analysis, 266(4), 2137-2152.
https://doi.org/10.1016/j.jfa.2013.11.016, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22156
Wang, F. & Zhang, T. (2014). Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. Stochastic Processes and their Applications, 124(3), 1261-1274.
https://doi.org/10.1016/j.spa.2013.11.002, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa22157
Wang, F. & Zhang, X. (2012). Derivative formula and applications for degenerate diffusion semigroups. Journal de Mathématiques Pures et Appliquées
https://doi.org/10.1016/j.matpur.2012.10.007, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa13493
Guillin, A. & Wang, F. (2012). Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality. Journal of Differential Equations, 253(1), 20-40.
https://doi.org/10.1016/j.jde.2012.03.014, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa13494
Bao, J., Wang, F., & Yuan, C. (2012). Bismut formulae and applications for functional SPDEs. Bulletin des Sciences Mathématiques
https://doi.org/10.1016/j.bulsci.2012.11.005, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa13495
BAO, J., Wang, F., & Yuan, C. (2012). DERIVATIVE FORMULA AND HARNACK INEQUALITY FOR DEGENERATE FUNCTIONAL SDEs. Stochastics and Dynamics, 1250013
https://doi.org/10.1142/S021949371250013X, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa13496
Wang, F. (2012). DERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIER–STOKES/BURGERS EQUATIONS. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 15(03), 1250020
https://doi.org/10.1142/S0219025712500208, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa13497
Wang, F. (2012). Derivative Formula and Gradient Estimates for Gruschin Type Semigroups. Journal of Theoretical Probability
https://doi.org/10.1007/s10959-012-0427-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa13498
Ouyang, S., Röckner, M., & Wang, F. (2012). Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump. Potential Analysis, 36(2), 301-315.
https://doi.org/10.1007/s11118-011-9231-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7764
Wang, F. & Yuan, C. (2011). Harnack inequalities for functional SDEs with multiplicative noise and applications. Stochastic Processes and their Applications, 121(11), 2692-2710.
https://doi.org/10.1016/j.spa.2011.07.001, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7560
Wang, F., Wu, J., & Lihu, X. (2011). Log-Harnack inequality for stochastic Burgers equations and applications. Journal of Mathematical Analysis and Applications, 384(1), 151-159.
https://doi.org/10.1016/j.jmaa.2011.02.032, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa8022
Thalmaier, A. & Wang, F. (2011). A stochastic approach to a priori estimates and Liouville theorems for harmonic maps. Bulletin des Sciences Mathématiques, 135(6-7), 816-843.
https://doi.org/10.1016/j.bulsci.2011.07.014, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7766
Wang, F. (2011). Gradient estimate for Ornstein–Uhlenbeck jump processes. Stochastic Processes and their Applications, 121(3), 466-478.
https://doi.org/10.1016/j.spa.2010.12.002, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7770
Wang, F. (2011). Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds. The Annals of Probability, 39(4), 1449-1467.
https://doi.org/10.1214/10-AOP600, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7756
Gordina, M., Röckner, M., & Wang, F. (2011). Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis, 34(3), 293-307.
https://doi.org/10.1007/s11118-010-9198-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7749
Wang, F. (2011). Equivalent semigroup properties for the curvature-dimension condition. Bulletin des Sciences Mathématiques, 135(6-7), 803-815.
https://doi.org/10.1016/j.bulsci.2011.07.005, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7751
Wang, F. (2011). Coupling for Ornstein–Uhlenbeck processes with jumps. Bernoulli, 17(4), 1136-1158.
https://doi.org/10.3150/10-BEJ308, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7776
Feng, S., Sun, W., Wang, F., & Fang, X. (2011). Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion. Journal of Functional Analysis, 260(2), 399-413.
https://doi.org/10.1016/j.jfa.2010.10.005, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7778
Wang, F. & Yuan, C. (2010). Poincaré Inequality on the Path Space of Poisson Point Processes. Journal of Theoretical Probability, 23(3), 824-833.
https://doi.org/10.1007/s10959-009-0232-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7552
Wang, F. (2010). Semigroup properties for the second fundamental form. Documenta Mathematica, 15, 543-559.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa8255
Wang, F. & Zhang, T. (2010). Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients. Journal of Mathematical Analysis and Applications, 365(1), 1-11.
https://doi.org/10.1016/j.jmaa.2009.09.008, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7777
RÖCKNER, M. & Wang, F. (2010). LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 13(01), 27-37.
https://doi.org/10.1142/S0219025710003936, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7750
Wang, F. (2010). Harnack inequalities on manifolds with boundary and applications. Journal de Mathématiques Pures et Appliquées, 94(3), 304-321.
https://doi.org/10.1016/j.matpur.2010.03.001, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1095
Wang, F. (2010). Gradient and Harnack inequalities on noncompact manifolds with boundary. Pacific Journal of Mathematics, 245(1), 185-200.
https://doi.org/10.2140/pjm.2010.245.185, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7757
Priola, E. & Wang, F. (2010). A sharp Liouville theorem for elliptic operators. Rendiconti Lincei - Matematica e Applicazioni, 441-445.
https://doi.org/10.4171/RLM/582, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7759
Wang, F. & Wang, F. (2010). Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures. Science China Mathematics, 53(4), 895-904.
https://doi.org/10.1007/s11425-010-0019-5, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7771
Wang, F. (2009). Second fundamental form and gradient of Neumann semigroups. Journal of Functional Analysis, 256(10), 3461-3469.
https://doi.org/10.1016/j.jfa.2008.12.010, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7768
Wang, F. (2009). Super and weak Poincaré inequalities for hypoelliptic operators. Acta Mathematicae Applicatae Sinica, English Series, 25(4), 617-630.
https://doi.org/10.1007/s10255-008-8817-z, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7769
Wang, F. & WU, B. (2009). QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 12(02), 251-267.
https://doi.org/10.1142/S0219025709003628, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7762
Kang, C., Wang, F., & Wang, F. (2009). On F-Sobolev and Orlicz-Sobolev inequalities. Frontiers of Mathematics in China, 4(4), 659-667.
https://doi.org/10.1007/s11464-009-0035-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7763
Wang, F. (2009). Log-Sobolev inequalities: Different roles of Ric and Hess. The Annals of Probability, 37(4), 1587-1604.
https://doi.org/10.1214/08-AOP444, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1093
Wang, F. (2009). Log-Sobolev inequality on non-convex Riemannian manifolds. Advances in Mathematics, 222(5), 1503-1520.
https://doi.org/10.1016/j.aim.2009.06.005, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1094
Prato, G., Röckner, M., & Wang, F. (2009). Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Journal of Functional Analysis, 257(4), 992-1017.
https://doi.org/10.1016/j.jfa.2009.01.007, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7746
Arnaudon, M., Thalmaier, A., & Wang, F. (2009). Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. Stochastic Processes and their Applications, 119(10), 3653-3670.
https://doi.org/10.1016/j.spa.2009.07.001, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7748
Cattiaux, P., Guillin, A., Wang, F., & Liming, W. (2009). Lyapunov conditions for Super Poincaré inequalities. Journal of Functional Analysis, 256(6), 1821-1841.
https://doi.org/10.1016/j.jfa.2009.01.003, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7754
Wang, F. (2009). Nash and log-Sobolev inequalities for hypoelliptic operators. manuscripta mathematica, 128(3), 343-358.
https://doi.org/10.1007/s00229-008-0235-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7774
Durran, R., Neate, A., Truman, A., & Wang, F. (2008). On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state. Journal of Mathematical Physics, 49(10), 102103
https://doi.org/10.1063/1.2988715, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1083
Dolbeault, J., Gentil, I., Guillin, A., & Wang, F. (2008). L q -Functional Inequalities and Weighted Porous Media Equations. Potential Analysis, 28(1), 35-59.
https://doi.org/10.1007/s11118-007-9066-0, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7775
Wang, F. (2008). Generalized Transportation-Cost Inequalities and Applications. Potential Analysis, 28(4), 321-334.
https://doi.org/10.1007/s11118-008-9079-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7755
Wang, F. (2008). Entropy-cost inequalities for diffusion semigroups with curvature unbounded below. Proceedings of the American Mathematical Society, 136(09), 3331-3338.
https://doi.org/10.1090/S0002-9939-08-09237-X, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7752
Wang, F. (2008). ORLICZ–POINCARÉ INEQUALITIES. Proceedings of the Edinburgh Mathematical Society, 51(02)
https://doi.org/10.1017/S0013091506000526, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7753
Wang, F. (2008). From super Poincaré to weighted log-Sobolev and entropy-cost inequalities. Journal de Mathématiques Pures et Appliquées, 90(3), 270-285.
https://doi.org/10.1016/j.matpur.2008.06.004, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7747
Röckner, M. & Wang, F. (2008). Non-monotone stochastic generalized porous media equations. Journal of Differential Equations, 245(12), 3898-3935.
https://doi.org/10.1016/j.jde.2008.03.003, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1096
Liu, W. & Wang, F. (2008). Harnack inequality and strong Feller property for stochastic fast-diffusion equations. Journal of Mathematical Analysis and Applications, 342(1), 651-662.
https://doi.org/10.1016/j.jmaa.2007.12.047, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7760
Wang, F. & Wu, B. (2008). Quasi-regular Dirichlet forms on Riemannian path and loop spaces. Forum Mathematicum, 20(6)
https://doi.org/10.1515/FORUM.2008.049, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7761
Fang, S., Wang, F., & Wu, B. (2008). Transportation-cost inequality on path spaces with uniform distance. Stochastic Processes and their Applications, 118(12), 2181-2197.
https://doi.org/10.1016/j.spa.2008.01.004, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7767
Chen, X., Wang, F., & Wang, F. (2008). Construction of larger Riemannian metrics with bounded sectional curvatures and applications. Bulletin of the London Mathematical Society, 40(4), 659-663.
https://doi.org/10.1112/blms/bdn045, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7765
Wang, F. & Wu, J. (2008). Compactness of Schrödinger semigroups with unbounded below potentials. Bulletin des Sciences Mathématiques, 132(8), 679-689.
https://doi.org/10.1016/j.bulsci.2008.06.004, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1097
http://dx.doi.org/10.1016/j.bulsci.2008.06.004
Wang, F. (2004). Probability distance inequalities on Riemannian manifolds and path spaces. Journal of Functional Analysis, 206(1), 167-190.
https://doi.org/10.1016/S0022-1236(02)00100-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1654
Wang, F. (2004). Functional inequalities on abstract Hilbert spaces and applications. Mathematische Zeitschrift, 246(1-2), 359-371.
https://doi.org/10.1007/s00209-003-0603-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1655
Wang, F. (2004). Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities. The Annals of Probability, 32(1A), 424-440.
https://doi.org/10.1214/aop/1078415841, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1656
Röckner, M. & Wang, F. (2001). Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups. Journal of Functional Analysis, 185(2), 564-603.
https://doi.org/10.1006/jfan.2001.3776, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1653
Wang, F. (n.d.) Distribution Dependent Reflecting Stochastic Differential Equations. Science China Mathematics
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa61956
Wang, F. & Wu, B. (n.d.) Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds. Potential Analysis, 25
https://doi.org/10.1007/s11118-022-09989-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59422
http://dx.doi.org/10.1007/s11118-022-09989-6
Wang, F., Wu, B., & Wang, F. (n.d.) Pointwise characterizations of curvature and second fundamental form on Riemannian manifolds. Science China Mathematics, 61(8), 1407-1420.
https://doi.org/10.1007/s11425-017-9296-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43218

Supervision

Convergence of approximate solutions of SDEs (current)

PhD

Other supervisor: Prof Eugene Lytvynov

Other supervisor: Prof Chenggui Yuan