Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Chen, Mufa"'
Autor:
Chen Mufa
Publikováno v:
SCIENTIA SINICA Mathematica. 50:3
In mathematical language, the paper introduces the development fromMarkov chains to the nonequilibrium interacting particle systems.In physical language, it is a way motivated from equilibrium statistical physics to nonequilibrium. Mainly, some typic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96272f855406d2d48a73433ca490a923
https://doi.org/10.1360/n012017-00270
https://doi.org/10.1360/n012017-00270
Autor:
Chen Mufa
Publikováno v:
SCIENTIA SINICA Mathematica. 49:327
The goal of the paper is to explore the core issue of statistical physics—The phenomenon of phase transition.To do this, we need to develop some existing ones or find newmathematical tools, and the emphasis is on the speed at whichwe can characteri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0091ed1f7985b0c645b50efc77de9d66
https://doi.org/10.1360/n012017-00269
https://doi.org/10.1360/n012017-00269
Autor:
Chen Mufa
Publikováno v:
Science in China Series A: Mathematics. 44:409-418
Some complete variational formulas and approximation theorems for the first eigenvalue of elliptic operators in dimension one or a class of Markov chains are presented.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f814a0d2fa4791749ea71cd48a5e2e7
https://doi.org/10.1007/bf02881877
https://doi.org/10.1007/bf02881877
Autor:
Chen Mufa
Publikováno v:
Acta Mathematica Sinica. 14:9-16
This note is devoted to study the exponential convergence rate in the total variation for reversible Markov processes by comparing it with the spectral gap. It is proved that in a quite general setup, with a suitable restriction on the initial distri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ac280fac7de1ceb70efffc7e54c2edb
https://doi.org/10.1007/bf02563878
https://doi.org/10.1007/bf02563878
Autor:
Chen Mufa
Publikováno v:
Chinese Science Bulletin. 42:1497-1505
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb85eadaf8b550a6edf8bd30e85618b5
https://doi.org/10.1007/bf02882917
https://doi.org/10.1007/bf02882917
Autor:
Chen Mufa
Publikováno v:
Acta Mathematica Sinica. 12:337-360
The study of the convergent rate (spectral gap) in theL2-sense is motivated from several different fields: probability, statistics, mathematical physics, computer science and so on and it is now an active research topic. Based on a new approach (the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d471321775eeb03f8dd612aa8ca86aa5
https://doi.org/10.1007/bf02106789
https://doi.org/10.1007/bf02106789
Autor:
Chen Mufa
Publikováno v:
Acta Mathematica Sinica. 10:260-275
This paper is devoted to studying a new topic: optimal Markovian couplings, mainly for time-continuous Markov processes. The study emphasizes the analysis of the coupling operators rather than the processes. Some constructions of optimal Markovian co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c1ba88d94504ee5d9bbec2298c33ba1
https://doi.org/10.1007/bf02560717
https://doi.org/10.1007/bf02560717