Welcome toJian Wang (王健）'s Homepage
Jian Wang
Professor
College of Mathematics and Informatics
Fujian Normal University
Qishan Campus, No.1 Keji Road, Shangjie, Minhou
Fuzhou 350117, China
Phone: +86-
Fax: +86-
Email: 'jianwang' AT 'fjnu' DOTT 'edu' DOTT 'cn'
Office: North 606, Technology Building, Qishan Campus, Fujian Normal University
Preprints (available on arXiv)
(1)(with Xin Chen, Zhen-Qing Chen and Takashi Kumagai）Quenched invariance principle for long range random walks in balanced random environments
(2)(with Zhen-Qing Chen and Takashi Kumagai) Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
(3)(with Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste and Tianyi Zheng) Long range random walks and associated geometries on groups of polynomial growth, to appear in Annales de l’Institut Fourier
(4)(with Xin Chen and Takashi Kumagai）Random conductance models with stable-like jumps I: quenched invariance principle, to appear in Annals of Applied Probability
(5)(with Nikola Sandric and Ivana Valentic) Periodic homogenisation of a Lévy-type process with small jumps, to appear in Journal of Evolution Equations
(6)(with Mingjie Liang and Mateusz B. Majka) Exponential ergodicity for SDEs and McKean-Vlasov processes with Lévy noise, to appear in Ann. Inst. Henri Poincaré Probab. Stat.
(7)(with Huaiqian Li) Littlewood--Paley--Stein estimates for non-local Dirichlet forms, to appear in Journal Analyse Mathematique
(8)(with Zhen-Qing Chen and Takashi Kumagai) Stability of heat kernel estimates for symmetric non-local Dirichlet forms, to appear in Memoirs Amer. Math. Soc.

The author would appreciate any comment on the manuscripts.
Book
(with Bj?rn B?ttcher and René Schilling) Lévy-Type Processes: Construction, Approximation and Sample Path Properties, (x + 202 pages. Lecture Notes in Mathematics, 2099 and Lévy Matters III, Springer, Berlin 2014. (ISBN: 978-3-319-02683-1)
Refereed Papers
(1)(with Xin Chen and Takashi Kumagai)Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities, J. Funct. Anal. 279, paper 108656, 2020.
(2)(with Zhen-Qing Chen and Takashi Kumagai) Heat kernel estimates and parabolicHarnack inequalities for symmetric Dirichlet forms, Adv. Math. 374, paper 107269,2020.
(3)(with Peisen Li) Exponential ergodicity for general continuous-state nonlinear branching processes, Electronic Journal of Probability 25, paper no. 125, 2020.
(4)(with Xin Chen and Zhen-Qing Chen) Heat kernel for non-local operators with variable order, Stoch. Proc. Appl., 130, 3574--3647, 2020
(5)(with Feng-Yu Wang) Isoperimetric inequalities for non-local Dirichlet forms, Potential Analysis, 53, 1225--1253, 2020.
(6)(with Zhen-Qing Chen, Panki Kim and Takashi Kumagai) Time fractional Poisson equations: representations and estimates, J. Funct. Anal., 278, paper 108311, 2020.
(7)(with Mingjie Liang) Gradient estimates and ergodicity for SDEs driven by multiplicative Lévy noises via coupling, Stoch. Proc. Appl., 130, 3053--3094, 2020.
(8)(with Mingjie Liang and René Schilling) A unified approach to coupling SDEs driven by Lévy noises and some applications, Bernoulli, 26, 664--693, 2020.
(9)(with Jakubowski Tomasz) Heat kernel estimates of fractional Schr?dinger operators with negative Hardy potential, Potential Analysis, 53, 997--1024, 2020
(10) (with Zhen-Qing Chen and Takashi Kumagai) Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms, J. European Math. Soc., 22, 3747--3803, 2020.
(11) (with Yuichi Shiozawa) Long-time heat kernel estimates and upper rate functions of Brownian motion type for symmetric jump processes, Bernoulli, 25, 3796--3831, 2019.
(12)(with Xin Chen and Panki Kim) Intrinsic ultracontractivity and ground state estimatesof non-local Dirichlet forms on unbounded open sets, Comm. Math. Phys., 366, 67--117, 2019.
(13)(with Dejun Luo) Refined basic couplings and Wasserstein-type distances for SDEs with Lévy noises, Stoch. Proc. Appl., 129, 3129--3172, 2019.
(14)(with Zhen-Qing Chen and Takashi Kumagai) Elliptic Harnack inequalities for symmetric non-local Dirichlet forms, J. Math. Pures Appl., 125, 1--42, 2019.
(15)(with Dejun Luo) Coupling by reflection and H?lder regularity for non-local operators of variable order, Trans. Amer. Math. Soc., 371, 431--459, 2019.
(16)(with Zhen-Qing Chen, Panki Kim and Takashi Kumagai) Heat kernel estimates for time fractional equations, Forum Mathematicum, 30, 1163--1192, 2018.
(17)(with Panki Kim and Takashi Kumagai) Laws of the iterated logarithm for symmetric jump processes, Bernoulli, 23, 2330--2379, 2017.
(18)(with Feng-Yu Wang) Functional inequalities for convolution probability measures, Ann. Inst. Henri PoincaréProbab. Statist., 52, 898--914, 2016.
(19)(with Xin Chen) Intrinsic ultracontractivity of Feynman-Kac semigroups for symmetric jump processes, J. Funct. Anal., 270, 4152--4195, 2016.
(20)Wasserstein distance for stochastic differential equations driven by Lévy processes, Bernoulli, 22, 1598--1616, 2016.
(21)(with Feng-Yu Wang) Functional inequalities for stable-like Dirichlet forms, J. Theor. Probab., 28, 423--448, 2015.
(22)(with Zhen-Qing Chen) Ergodicity for time changed symmetric stable processes, Stoch. Proc. Appl., 124, 2799--2823, 2014.
(23)(with Xin Chen) Functional inequalities for nonlocal Dirichlet forms with finite range jumps or large jumps, Stoch. Proc. Appl., 124, 123--153, 2014.
(24)(with René Schilling) Some theorems on Feller processes: transience, local times and ultracontractivity, Trans. Amer. Math. Soc., 365, 3255--3286, 2013.
(25)(with Feng-Yu Wang)Coupling and strong Feller for jump processes on Banach spaces, Stoch. Proc. Appl., 123, 1588--1615, 2013.
(26)(with Jun Masamune and Toshihiro Uemura) On the conservativeness and the recurrence of symmetric jump-diffusions, J. Funct. Anal., 26, 3984--4008, 2012.
(27)(with René Schilling) Functional inequalities and subordination: stability of Nash and Poincaré inequalities, Math. Zeitschrift, 272, 921--936, 2012.
(28)(with René Schilling and Pawel Sztonyk) Coupling property and gradient estimates for Lévy processes via the symbol, Bernoulli,18, 1128--1149, 2012.
(29)(with René Schilling) On the coupling property of Lévy processes, Ann. Inst. Henri PoincaréProbab. Statist., 47, 1147--1159, 2011.
(30)(with Bj?rn B?ttcher and René Schilling) Constructions of coupling processes for Lévy processes, Stoch. Proc. Appl., 121, 1201--1216, 2011.
(31)Regularity of semigroups generated by Lévy type operators via coupling, Stoch. Proc. Appl., 120, 1680--1700, 2010.
(32)First eigenvalue of one-dimensional diffusion processes, Elect. Comm. Prob., 14, 232--244, 2009.
(33)Criteria for ergodicity of Lévy type operators in dimension one, Stoch. Proc. Appl., 118, 1909--1928, 2008.