[1]  Reversible Markov Processes, Hunan Science Press, 1979, With Z. T. Hou, M. Qian, etc.

[2]  Jump Processes and Interacting Particle Systems, Beijing Normal Univ. Press, 1986

Books in English:

[3]  From Markov Chains to Non-Equilibrium Particle Systems, World Scientific, Singapore, 1992, Corrections in ;  Reprinted by World Publishing Corporation, Beijing, 1994, Corrections in . Second Edition World Scientific, Singapore, 2004, Prefaces in , bibiograph in , and corrections in

[4]  Ergodic Convergence Rates of Markov Processes—Eigenvalues, Inequalities and Ergodic Theory,

[5]  Eigenvalues, inequalities, and Ergodic Theory, Springer, 2005. Preface and contents in , and corrections in

Papers:

1977 - 1979: 

[1]    Optimal method for block-search without knowing the number of experiments, J. Guiyang Teacher's College, 1977, 3, 117-134, (in Chinese)

[2]  A remark on analytic sets, J. Beijing Normal Univ., 1979, 1, 45-46, (in Chinese)

[3]  The minimal nonnegative solutions for a class of operator equation, J. Beijing Normal Univ., 1979, 3, 66-73, (in Chinese)

[4]  On “optimization with comparison tests”, J. Beijing Normal Univ., 1979, 4, 1-6, (in Chinese)

[5]  On strong Markov properties, J.Changsha Railway Institute, 1979, With Z. T. Hou, (in Chinese)

1980 - 1989:

[6]  Markov processes and field theory, Abstract: Kexue Tongbao, 1980, 25, 807-811, collected in Book[1], With Z. T. Hou, (in Chinese)

[7]  Potentiality for a class of Q-processes, J. Beijing Normal Univ., 1980, 3/4, 1-12, With Z. T. Hou, (in Chinese)

[8]  Reversible Markov processes in abstract spaces, Chin. Ann. Math., 1980, 1, 3-4, 437-451, (in Chinese)

[9]  Quasi-reversibility for the nearest speed functions, Chin. Ann. of Math., 1981, 2, 47-59, (in Chinese)

[10]  ωB-equation and its application to Q-processes with instantaneous states, J. Beijing Normal Univ., 1981, 4, 1-15, With H. S. Cheng, (in Chinese)

[11]  Potential Q-processes with finite exit boundaries, Acta Math. Sinica, 1982, 25, 2, 136-166,  (in Chinese)

[12]   Potentiality and reversibility for general speed functions (I), Chin. Ann. Math., 1982, 3, 571-568, With S. J. Yan and W. D. Ding

[13]  Potentiality and reversibility for general speed functions (II), Compact state spaces, Chin. Ann. Math., 1982, 3, 705-720, With S. J. Yan and W. D. Ding

[14]  Uniqueness criteria for q-processes, Sci. Sinica, 1983, 1, 11-24, With X. G. Zheng

[15]  λπ-invariant measures, Lecture Notes in Math., Seminaire de Probabilites,  XVII, 1983,  986, 205-220, With D.W.Stroock

[16]  Stability of circulation decompositions and self-organization phenomena, Acta Math. Scientia, 1984, 4:1, 13-26, With S. J. Yan

[17]  Couplings of Markov chains, J. Beijing Normal Univ., 1984, 4, 3-10, (in Chinese)

[18]  Infinite dimensional reaction-diffusion processes, Acta Math. Sinica, New Series, 1985, 1:3, 261-273

[19]  Multidimensional Q-processes, Chin. Ann. Math., 1986, 7B:1, 90-110, With S. J. Yan

[20]  Couplings of jump processes, Acta Math. Sinica, New Series, 1986, 2:2, 123-136

[21]  Existence for a probability kernel and the differentiation properties of transition probability function of jump processes in abstract state spaces, J. Beijing Normal Univ., 1986, 4, 6-9, (in Chinese)

[22]  Some new developments in probability theory, Quart. J. Math., 1986, 1:1, 104-117, (in Chinese)

[23]  Existence theorems for interacting particle systems with non-compact state spaces, Sci. Sinica, 1986,8 (Chinese Edition), 707-714；1987, 30:2 (English Edition),148-156  

[24]  Stationary distributions of infinite particle systems with non-compact state spaces, Acta Math. Sci., 1989, 9:1, 7-19

[25]  Coupling methods for multidimensional diffusion processes, Ann. Probab., 1989, 17:1, 151-177, With S. F. Li

[26]  Probability metrics and coupling methods, Pitman Research Notes in Math., 1989, 200, 55-72

[27]  A survey on random fields, Advances in Math., 1989, 18:3, 294-322, (in Chinese)

1990 - 1994: 

[28]  Large deviations for Markov chains, Acta Math. Sci. Sin. ,1990, 10:2, 217-222, With Y. G. Lu

[29]  Ergodic theorems for reaction-diffusion processes,  J. Statis. Phys., 1990, 58:5/6, 939-966

[30]  Inequalities of Holder' type (I), Shuxue Tongbao, 1990, 3, 41-44；(II), 1990, 4, 37-39, (in Chinese)

[31]  On evaluating the rate function of large deviations for jump processes, Acta Math. Sinica, New Series, 1990, 6:3, 206-219, With  Y. G. Lu

[32]  Dirichlet forms and symmetrizable jump processes, Quart. J. Math., 1991, 6:1, 83-103

[33]  On coupling of jump processes, Chin. Ann. Math., 1991, 12(B): 4, 385-399

[34]  Applications of Malliavin calculus to stochastic differential equations with time-dependent coefficients, Acta Appl. Math. Sin., 1991, 7:3, 193-216, With  X. Y. Zhou

[35]  Exponential L²-convergence and L²-spectral gap for Markov processes, Acta Math. Sinica, New Series, 1991, 7:1, 19-37  

[36]  Comparison theorems for Green functions of Markov chains, Chin. Ann. Math., 1991, 12(B), 206-219

[37]  Uniqueness of reaction diffusion processes, Chin. Sci. Bulletin, 1990, 17 (Chinese Edition),  1290-1293；1991, 36:12 (English Edition), 969-973

[38]  Jump processes and particle systems, in “Probability Theory and its Applications in China”, edited by S. J. Yan, C. C. Yang and J. G. Wang, Providence, AMS, 1991, 118, 23-57, With  S. J. Yan 

[39]  On three classical problems about Markov chains with continuous time parameters, J. Appl. Prob., 1991, 28, 305-320

[40]  Stochastic processes from Yang-Mills lattice field, in “Probability and Statistics, Nankai's Series of Pure and Applied Mathematics”, World Scientific, 1991,

[41]  Hydrodynamic limit for reaction-diffusion processes with several species, in “Probability      and Statistics, Nankai's Series of Pure and Applied Mathematics”, World Scientific, 1991,  With L. P. Huang and X. J. Xu

[42]  Diffusion processes from Yang- Mills lattice field, 1991,  collected in Book[3], With F. Y. Wang

[43]  Stochastic models of economic optimization (I), Chin. J. of Appl. Prob. and Statis., 1992, 8:3,  289-294, (in Chinese)

[44]  Stochastic models of economic optimization (II), Chin. J. of Appl. Prob. and Statis., 1992, 8:4,  374-377, (in Chinese)

[45]  On order-preservation and positive correlations for multidimensional diffusion processes, Prob. Th. Rel. Fields, 1993, 95, 421-428, With F. Y. Wang

[46]  Application of coupling method to the first eigenvalue on manifold, Sci. Sin. (A), 1993, 23:11 (Chinese Edition), 1130-1140；1994, 37:1 (English Edition), 1-14, With  F. Y. Wang

[47]  Ergodicity of reversible reaction-diffusion processes, Acta Math. Sin. New Ser., 1994,10:1, 99-112, With  W. D. Ding and D. G. Zhu

[48]  Stochastic model of economic optimization, J. Beijing Normal Univ., 1994, 30:2, 185-194, With Y. Li 

[49]  Optimal Markovian couplings and applications, Acta Math. Sin. New Ser., 1994, 10:3, 260-275

[50]  Optimal couplings and application to Riemannian geometry, Prob. Theory and Math. Stat., 1, Eds. B. Grigelionis et al, 1994, VPS/TEV, 121-142

1995 - 1999:

[51]  On the optimality in general sense for odd-block search, Acta Math. Appl. Sin., 1995, 11:4, 389-404, With D. H. Huang 

[52]  On ergodic region of Schlogl's model, in Proceedings of International Conference on Dirichlet Forms and Stochastic Processes, Edited by Z. M. Ma, M. Rockner and J. A. Yan, Walter de Gruyter Publishers, 1995, 87-102

[53]  Estimation of the first eigenvalue of second order elliptic operators, J. Funct. Anal., 1995, 131:2, 345-363, With  F. Y. Wang 

[54]  A comment on the book “Continuous-Time Markov Chains” by W. J. Anderson, Chin. J. Appl. Prob. Stat., 1996, 12:1, 55-59

[55]  Estimation of spectral gap for Markov chains, Acta Math. Sin. New Series, 1996, 12:4, 337-360

[56]  The range of random walk on trees and related trapping problem, Acta Math. Appl. Sin., 1997, 13:1, 1-16, With S. J. Yan and X. Y. Zhou

[57]  Estimates of logarithmic Sobolev constant: an improvement of Bakry-Ernery criterion, J. Funct. Anal., 1997, 144:2, 287-300, With F. Y. Wang

[58]  Estimation of spectral gap for elliptic operators, Trans. Amer. Math. Soc., 1997, 349:3, 1239-1267, With F. Y. Wang

[59]  General formula for lower bound of the first eigenvalue on Riemannian manifolds, Sci. Sin., 1997, 27:1 (Chinese Edition), 34-42；40:4 (English Edition), 384-394, With F. Y. Wang

[60]  Coupling, spectral gap and related topics (I), Chin. Sci. Bulletin, 1997, 42:14 (Chinese Edition), 1472-1477；42:16 (English Edition), 1321-1327

[61]  Coupling, spectral gap and related topics (II), Chin. Sci. Bulletin, 1997, 42:15 (Chinese Edition), 1585-1591；42:17 (English Edition), 1409-1416

[62]  Coupling, spectral gap and related topics (III), Chin. Sci. Bulletin, 1997, 42:16 (Chinese Edition), 1696-1703；42:18 (English Edition), 1497-1505

[63]  Reaction-diffusion processes, Chin. Sci. Bulletin, 1997, 42:23 (Chinese Edition), 2466-2474；1998, 43:17 (English Edition), 1409-1421

[64]  Trilogy of couplings and general formulas for lower bound of spectral gap, in “Probability Towards 2000”, Edited by L. Accardi and C. Heyde, Lecture Notes in Statis., Springer- Verlag, 1998, 128, 123-136

[65]  Estimate of exponential convergence rate in total variation by spectral gap, Acta Math. Sin. Ser. (A), 1998, 41:1, 1-6；Acta Math. Sin. New Ser., 1998, 14:1, 9-16

[66]  Single birth processes, Chin. Ann. Math., 1999, 20B:1, 77-82 

[67]  Analytic proof of dual variational formula for the first eigenvalue in dimension one, Sci. in China (A), 1999, 29:4 (Chinese Edition), 327-336；42:8 (English Edition), 805-815

[68]  Nash inequalities for general symmetric forms, Acta Math. Sin. Eng. Ser., 1999, 15:3, 353-370

[69]  New story on the principal eigenvalues, Advances in Math., 1999, 28:5, 385-392, (in Chinese)

[70]  Eigenvalues, inequalities and ergodic theory, Chin. Sci. Bulletin, 1999, 44:23 (Chinese Edition), 2465-2470；2000, 45:9 (English Edition), 769-774

[71]  Eigenvalues, inequalities and ergodic theory (II), Advances in Math., 1999, 28:6, 481-505

2000 - : 

[72]  Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap, Ann. Probab., 2000, 28:1, 235-257；results published in Chinese Sci. Bull., 1998, 43:14 (Chinese Edition), 1475-1477；43:18 (English Edition),1516-1519, With F. Y. Wang

[73]  Equivalence of exponential ergodicity and L²-exponential convergence for Markov chains, Stoch. Proc. Appl., 2000, 87, 281-297

[74]  Logarithmic Sobolev inequality for symmetric forms, Sci. in China (A), 2000, 30:3 (Chinese Edition), 203-209；43:6 (English Edition), 601-608

[75]  A new story of ergodic theory, to appear in Proceedings of IMS Workshop on Applied Probability, Hong Kong: Intern. Press, 2001

[76]  Eigenvalues, inequalities and ergodic theory, Chin. Sci. Bulletin, 1999, 44:23 (Chinese Edition), 2465-2470；2000, 45:9 (English Edition), 769-774

[77]  The principal eigenvalue for jump processes, Acta Math. Sin. Eng. Ser., 2000, 16:3, 361-368

[78]  Explicit bounds of the first eigenvalue, Sci. China (A), 2000,39:9 (Chinese Edition), 769-776； 43:10 (English Edition), 1051-1059

[79]  Variational formulas and approximation theorems for the first eigenvalue, Sci. China (A), 2001, 31:1 (Chinese Edition), 28-36；44:4 (English Edition), 409-418

[80]  Explicit criteria for several types of ergodicity, Chin. J. Appl. Prob. Stat., 2001, 17:2, 1-8

[81]  Algebraic convergence of Markov chains, Ann. Appl. Probab., With Y. Z. Wang, Ann. Appl. Prob. 2003, 13:2, 604-627

Group Members: 

Wang, Fengyu: Professor. Main interests: Stochastic analysis, Markovian semigroup and spectrum theory

Zhang, Yuhui: Associate professor. Main interests: Jump processes and interacting particle systems

Mao, Yonghua: Associate professor. Main interests: Markovian semigroup and spectrum theory

Wang, Yingzhe: Lecturer. Main interests: Jump processes and interacting particle systems

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