WELCOME TO
MAO Yong-Hua's Home Page
¡¡
Address Department of Mathematics, Beijing Normal University, Beijing, 100875, People's Republic of CHINA
Phone (0086-10) 62209447
Email maoyh@bnu.edu.cn
RESEARCH INTERESTS
Ergodic theory for Markovian processes and estimate of convergence rate
Estimate of spectral gap and essential spectrum of Markovian semigroup and its generator
Various kinds of functional inequalities (including Sobolev type inequalities and isoperimetric inequalities) and their applications in probability theory
Ergodicity for jump processes and diffusion processes on some special state spaces, such as trees and fractals
¡¡
PUBLICATIONS & PREPRINTS
Logarithmic Sobolev inequalities on Cantor sets, J. Beijing Normal University ( Sci. Edition), 1999, 35(2), 154-156.
Estimations of eigenvalues, J. Beijing Normal University ( Sci. Edition), 2000, 36(2), 152-155.
Comparisons of several convergent rates for Markov processes, Acta Math. Sinica, 2000, 43(6), 1019-1026. ( with Zhang S.Y.)
Exponential convergent rates under Boltzmann-Shannon entropy, Science in China (A), 2000, 44, 280-285 ( English Edition ); 2000, 30, 620-625 ( Chinese Edition ). ( with Zhang S.Y. )
Logarithmic Sobolev inequalities for birth-death process and diffusion process on the line. Chinese J. Appl. Stat. Prob., 2002 , 18(1), 94-100.
Nash inequalities for Markov processes in dimension one. Acta Mathematica Sinica, English Series, 2002, 18(1), 147-156.
Ergodicity for discrete-time random walks, J. Beijing Normal University ( Sci. Edition), 2002, 38(6), 729-733.
Strong ergodicity for Markov processes by coupling methods, J. Appl. Probab. , 2002, 39(4), 839-852.
Algebraic convergence for discrete-time Markov chains, Science in China (Series A), 2003, 46(5), 621-630. (English Edition).
Ergodic degrees for continuous-time Markov chains, Science in China (Series A), 2004,47(2), 161-174.
Some results on ergodicity for Markov chains, J. Beijng Normal University( Sci. Edition), 2004, 40(4), 437-440.(with Zhang Weiyi)
Exponential ergodicity for single birth processes, J. Appl. Probab., 2004, 41(4), 1022-1032. (with Zhang Yu-Hui)
Eigentime identity for ergodic Markov chains, J. Appl. Probab.,2004, 41(4), 1071-1080.
Eigentime identity for transient Markov chains, J. Math. Anal. Appl., 2006,315, 415-424.
Convergence rates in strong ergodicity for Markov processes, Stoch. Proc. Appl., 2006,116, 1964-1976.
Strong ergodicity and uniform decay for Markov processes, Mathematica Applicata, 2006, 19(3), 580-586. (with Ouyang Shun-Xiang)
Some results of bounded Markov operators and its essential spectrum, J. Beijing Normal University ( Sci. Edition), 2006,42(3), 229-231.
Some new results on strong ergodicity. Front. Math. China 1 (2006), no. 1, 105--109.
On empty essential spectrum for Markov processes in dimension one, Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 3, 807--812.
The estimate of the Dirichlet eigenvalue for birth-death processes on trees (in Chinese), Acta Math, 2007, 50(3), 507-516 (with Shao Jing-hai)
On supercontractivity for Markov semigroups, Acta Mathematica Sinica, English Series 2007, 23(5), 905-914.
General Sobolev type inequalities for symmetric forms, to appear in J. Math. Anal. Appl., 2007.
On equivalence between geometric ergodicity and geometric decay of the stationary Tail, submitted. (with Zhao, YQ & Zou, JZ)
L^p Poincare inequality for general symmetric forms, submitted.
A generalization of Hardy inequality and applications, preprint.
Nash type inequalities for Markov semigroups, preprint.
The Spectral Gap Estimation of Jackson Networks, preprint. (with Xia Liang-Hui)
07-06-24