Trosolwg
Mae'r Athro Feng-Yu Wang yn aelod o’r Adran Fathemateg ym Mhrifysgol Abertawe.
Yr Athro Feng-yu Wang
Athro Emeritws (Gwyddoniaeth)
Faculty of Science and Engineering
Cyhoeddiadau
Uchafbwyntiau Ymchwil
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Wang, F. (2022). Killed distribution dependent SDE for nonlinear Dirichlet problem. Discrete and Continuous Dynamical Systems - S, 16(5), 0-0.
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Wang, F. (2023). Distribution dependent reflecting stochastic differential equations. Science China Mathematics, 66(11), 2411-2456.
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Wang, F. (2022). Convergence in Wasserstein distance for empirical measures of Dirichlet diffusion processes on manifolds. Journal of the European Mathematical Society, 25(9)
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Bogachev, V., Shaposhnikov, A., & Wang, F. (2022). Sobolev–Kantorovich inequalities under CD(0,∞) condition. Communications in Contemporary Mathematics, 24(05)
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Huang, X. & Wang, F. (2022). Singular McKean-Vlasov (reflecting) SDEs with distribution dependent noise. Journal of Mathematical Analysis and Applications, 514(1), 126301
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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
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Wang, F., Rockner, M., & Ren, P. (2022). Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations, 322
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Wang, F. (2023). Convergence in Wasserstein distance for empirical measures of semilinear SPDEs. The Annals of Applied Probability, 33(1)
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Wang, F. (2023). Exponential ergodicity for non-dissipative McKean-Vlasov SDEs. Bernoulli, 29(2)
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Wang, F. & Wu, B. (n.d.) Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds. Potential Analysis, 25
Holl Ymchwil
Erthyglau Cylchgronau
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Wang, F. (2023). Distribution dependent reflecting stochastic differential equations. Science China Mathematics, 66(11), 2411-2456.
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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
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Wang, F. (2023). Exponential ergodicity for non-dissipative McKean-Vlasov SDEs. Bernoulli, 29(2)
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Wang, F. (2023). Convergence in Wasserstein distance for empirical measures of semilinear SPDEs. The Annals of Applied Probability, 33(1)
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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)
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Wang, F. (2022). Killed distribution dependent SDE for nonlinear Dirichlet problem. Discrete and Continuous Dynamical Systems - S, 16(5), 0-0.
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Huang, X. & Wang, F. (2022). Singular McKean-Vlasov (reflecting) SDEs with distribution dependent noise. Journal of Mathematical Analysis and Applications, 514(1), 126301
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Wang, F. (2022). Convergence in Wasserstein distance for empirical measures of Dirichlet diffusion processes on manifolds. Journal of the European Mathematical Society, 25(9)
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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
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Wang, F., Rockner, M., & Ren, P. (2022). Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations, 322
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Bogachev, V., Shaposhnikov, A., & Wang, F. (2022). Sobolev–Kantorovich inequalities under CD(0,∞) condition. Communications in Contemporary Mathematics, 24(05)
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Ren, P. & Wang, F. (2022). Derivative formulas in measure on Riemannian manifolds. Bulletin of the London Mathematical Society, 53(6), 1786-1800.
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Wang, F. (2021). Wasserstein convergence rate for empirical measures on noncompact manifolds. Stochastic Processes and their Applications, 144(February 2022)
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Wang, F. & Wu, J. (2021). On path independence of Girsanov transformation for stochastic differential equations. SCIENTIA SINICA Mathematica, 51(11), 1861-16.
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Ren, P. & Wang, F. (2021). Donsker-Varadhan large deviations for path-distribution dependent SPDEs. Journal of Mathematical Analysis and Applications, 499(1), 125000
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Wang, F. (2021). Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes. Journal of Functional Analysis, 280(11), 108998
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Wang, F. (2021). Image-dependent conditional McKean–Vlasov SDEs for measure-valued diffusion processes. Journal of Evolution Equations, 21(2), 2009-2045.
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Bao, J., Ren, P., & Wang, F. (2021). Bismut formula for Lions derivative of distribution-path dependent SDEs. Journal of Differential Equations, 282, 285-329.
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Ren, P. & Wang, F. (2021). Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs. Nonlinear Analysis, 206, 112259
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Huang, X. & Wang, F. (2021). Derivative estimates on distributions of McKean-Vlasov SDEs. Electronic Journal of Probability, 26(none)
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Huang, X. & Wang, F. (2020). Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance. Discrete & Continuous Dynamical Systems - A, 0(0), 0-0.
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Wang, F. (2020). Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature. Potential Analysis, 53(3), 1123-1144.
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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.
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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
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Bao, J., Wang, F., & Yuan, C. (2020). Ergodicity for neutral type SDEs with infinite length of memory. Mathematische Nachrichten
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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.
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Ren, P. & Wang, F. (2020). Spectral gap for measure-valued diffusion processes. Journal of Mathematical Analysis and Applications, 483(2), 123624
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Wang, F. (2020). GRADIENT AND HESSIAN ESTIMATES FOR DIRICHLET AND NEUMANN EIGENFUNCTIONS. The Quarterly Journal of Mathematics
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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.
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Wang, F. & Zhang, W. (2019). Nash inequality for diffusion processes associated with Dirichlet distributions. Frontiers of Mathematics in China
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Wang, F. & Wang, J. (2019). Isoperimetric Inequalities for Non-Local Dirichlet Forms. Potential Analysis
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Ren, P. & Wang, F. (2019). Bismut formula for Lions derivative of distribution dependent SDEs and applications. Journal of Differential Equations, 267(8), 4745-4777.
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Grothaus, M. & Wang, F. (2019). Weak Poincaré inequalities for convergence rate of degenerate diffusion processes. The Annals of Probability, 47(5), 2930-2952.
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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.
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Bao, J., Wang, F., & Yuan, C. (2018). Asymptotic Log-Harnack inequality and applications for stochastic systems of infinite memory. Stochastic Processes and their Applications
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Huang, X. & Wang, F. (2018). Distribution dependent SDEs with singular coefficients. Stochastic Processes and their Applications
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Wang, F. (2018). Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds. The Journal of Geometric Analysis
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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.
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Wang, F. (2018). Distribution dependent SDEs for Landau type equations. Stochastic Processes and their Applications, 128(2), 595-621.
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Dong, Z., Wang, F., & Xu, L. (2018). Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes. Potential Analysis
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Huang, X. & Wang, F. (2018). Degenerate SDEs with singular drift and applications to Heisenberg groups. Journal of Differential Equations, 265(6), 2745-2777.
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Arnaudon, M., Thalmaier, A., & Wang, F. (2018). Gradient Estimates on Dirichlet and Neumann Eigenfunctions. International Mathematics Research Notices
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Jacob, N. & Wang, F. (2018). Higher order eigenvalues for non-local Schrödinger operators. Communications on Pure & Applied Analysis, 17(1), 191-208.
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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
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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
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Wang, F. (2017). Integrability conditions for SDEs and semilinear SPDEs. The Annals of Probability, 45(5), 3223-3265.
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Wang, F. (2017). Integrability conditions for SDEs and semilinear SPDEs. The Annals of Probability, 45(5), 3223-3265.
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Wang, F. (2017). Hypercontractivity and applications for stochastic Hamiltonian systems. Journal of Functional Analysis, 272(12), 5360-5383.
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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.
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Wang, F. (2016). Gradient estimates and applications for Neumann semigroup on narrow strip. Mathematische Zeitschrift, 282(1-2), 43-60.
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Wang, F. (2016). Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups. Science China Mathematics, 59(2), 261-280.
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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.
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Feng, S. & Wang, F. (2016). Harnack Inequality and Applications for Infinite-Dimensional GEM Processes. Potential Analysis, 44(1), 137-153.
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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.
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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.
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Wang, F. (2015). Asymptotic couplings by reflection and applications for nonlinear monotone SPDES. Nonlinear Analysis: Theory, Methods & Applications, 117, 169-188.
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Wang, F. (2015). Exponential convergence of non-linear monotone SPDEs. Discrete and Continuous Dynamical Systems, 35(11), 5239-5253.
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Bao, J., Wang, F., & Yuan, C. (2015). Hypercontractivity for functional stochastic partial differential equations. Electronic Journal of Probability, 20(0)
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Wang, F. & Zhang, X. (2015). Heat kernel for fractional diffusion operators with perturbations. Forum Mathematicum, 27(2)
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Wang, F., Xu, L., & Zhang, X. (2015). Gradient estimates for SDEs driven by multiplicative Lévy noise. Journal of Functional Analysis, 269(10), 3195-3219.
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Wang, F. & Wang, J. (2015). Functional Inequalities for Stable-Like Dirichlet Forms. Journal of Theoretical Probability, 28(2), 423-448.
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Bao, J., Wang, F., & Yuan, C. (2015). Hypercontractivity for functional stochastic differential equations. Stochastic Processes and their Applications, 125(9), 3636-3656.
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Wang, F. (2014). Integration by parts formula and shift Harnack inequality for stochastic equations. The Annals of Probability, 42(3), 994-1019.
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Wang, F. (2014). Criteria of spectral gap for Markov operators. Journal of Functional Analysis, 266(4), 2137-2152.
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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.
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Wang, F. & Zhang, X. (2012). Derivative formula and applications for degenerate diffusion semigroups. Journal de Mathématiques Pures et Appliquées
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Guillin, A. & Wang, F. (2012). Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality. Journal of Differential Equations, 253(1), 20-40.
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Bao, J., Wang, F., & Yuan, C. (2012). Bismut formulae and applications for functional SPDEs. Bulletin des Sciences Mathématiques
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BAO, J., Wang, F., & Yuan, C. (2012). DERIVATIVE FORMULA AND HARNACK INEQUALITY FOR DEGENERATE FUNCTIONAL SDEs. Stochastics and Dynamics, 1250013
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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
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Wang, F. (2012). Derivative Formula and Gradient Estimates for Gruschin Type Semigroups. Journal of Theoretical Probability
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Ouyang, S., Röckner, M., & Wang, F. (2012). Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump. Potential Analysis, 36(2), 301-315.
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Wang, F. & Yuan, C. (2011). Harnack inequalities for functional SDEs with multiplicative noise and applications. Stochastic Processes and their Applications, 121(11), 2692-2710.
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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.
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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.
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Wang, F. (2011). Gradient estimate for Ornstein–Uhlenbeck jump processes. Stochastic Processes and their Applications, 121(3), 466-478.
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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.
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Gordina, M., Röckner, M., & Wang, F. (2011). Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis, 34(3), 293-307.
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Wang, F. (2011). Equivalent semigroup properties for the curvature-dimension condition. Bulletin des Sciences Mathématiques, 135(6-7), 803-815.
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Wang, F. (2011). Coupling for Ornstein–Uhlenbeck processes with jumps. Bernoulli, 17(4), 1136-1158.
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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.
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Wang, F. & Yuan, C. (2010). Poincaré Inequality on the Path Space of Poisson Point Processes. Journal of Theoretical Probability, 23(3), 824-833.
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Wang, F. (2010). Semigroup properties for the second fundamental form. Documenta Mathematica, 15, 543-559.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa8255
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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.
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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.
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Wang, F. (2010). Harnack inequalities on manifolds with boundary and applications. Journal de Mathématiques Pures et Appliquées, 94(3), 304-321.
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Wang, F. (2010). Gradient and Harnack inequalities on noncompact manifolds with boundary. Pacific Journal of Mathematics, 245(1), 185-200.
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Priola, E. & Wang, F. (2010). A sharp Liouville theorem for elliptic operators. Rendiconti Lincei - Matematica e Applicazioni, 441-445.
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Wang, F. & Wang, F. (2010). Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures. Science China Mathematics, 53(4), 895-904.
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Wang, F. (2009). Second fundamental form and gradient of Neumann semigroups. Journal of Functional Analysis, 256(10), 3461-3469.
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Wang, F. (2009). Super and weak Poincaré inequalities for hypoelliptic operators. Acta Mathematicae Applicatae Sinica, English Series, 25(4), 617-630.
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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.
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Kang, C., Wang, F., & Wang, F. (2009). On F-Sobolev and Orlicz-Sobolev inequalities. Frontiers of Mathematics in China, 4(4), 659-667.
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Wang, F. (2009). Log-Sobolev inequalities: Different roles of Ric and Hess. The Annals of Probability, 37(4), 1587-1604.
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Wang, F. (2009). Log-Sobolev inequality on non-convex Riemannian manifolds. Advances in Mathematics, 222(5), 1503-1520.
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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.
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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.
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Cattiaux, P., Guillin, A., Wang, F., & Liming, W. (2009). Lyapunov conditions for Super Poincaré inequalities. Journal of Functional Analysis, 256(6), 1821-1841.
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Wang, F. (2009). Nash and log-Sobolev inequalities for hypoelliptic operators. manuscripta mathematica, 128(3), 343-358.
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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
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Dolbeault, J., Gentil, I., Guillin, A., & Wang, F. (2008). L q -Functional Inequalities and Weighted Porous Media Equations. Potential Analysis, 28(1), 35-59.
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Wang, F. (2008). Generalized Transportation-Cost Inequalities and Applications. Potential Analysis, 28(4), 321-334.
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Wang, F. (2008). Entropy-cost inequalities for diffusion semigroups with curvature unbounded below. Proceedings of the American Mathematical Society, 136(09), 3331-3338.
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Wang, F. (2008). ORLICZ–POINCARÉ INEQUALITIES. Proceedings of the Edinburgh Mathematical Society, 51(02)
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Wang, F. (2008). From super Poincaré to weighted log-Sobolev and entropy-cost inequalities. Journal de Mathématiques Pures et Appliquées, 90(3), 270-285.
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Röckner, M. & Wang, F. (2008). Non-monotone stochastic generalized porous media equations. Journal of Differential Equations, 245(12), 3898-3935.
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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.
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Wang, F. & Wu, B. (2008). Quasi-regular Dirichlet forms on Riemannian path and loop spaces. Forum Mathematicum, 20(6)
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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.
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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.
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Wang, F. & Wu, J. (2008). Compactness of Schrödinger semigroups with unbounded below potentials. Bulletin des Sciences Mathématiques, 132(8), 679-689.
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Wang, F. (2004). Probability distance inequalities on Riemannian manifolds and path spaces. Journal of Functional Analysis, 206(1), 167-190.
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Wang, F. (2004). Functional inequalities on abstract Hilbert spaces and applications. Mathematische Zeitschrift, 246(1-2), 359-371.
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Wang, F. (2004). Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities. The Annals of Probability, 32(1A), 424-440.
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Röckner, M. & Wang, F. (2001). Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups. Journal of Functional Analysis, 185(2), 564-603.
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Wang, F. & Wu, B. (n.d.) Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds. Potential Analysis, 25
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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.
Goruchwyliaeth
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Convergence of Numerical Solutions of Stochastic Differential Delay Equations (dyfarnwyd 2024)
PhDGoruchwyliwr arall: Prof Eugene LytvynovGoruchwyliwr arall: Prof Chenggui Yuan