Spectral gap for open Jackson networks

Verfasser / Beitragende:
[Yong Mao, Liang Xia]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/12(2015-12-01), 1879-1894
Format:
Artikel (online)
ID: 605461503
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024 7 0 |a 10.1007/s10114-015-4138-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4138-3 
245 0 0 |a Spectral gap for open Jackson networks  |h [Elektronische Daten]  |c [Yong Mao, Liang Xia] 
520 3 |a We generalize the decomposition method of the finite Markov chains for Poincaré inequality in Jerrum et al. (Ann. Appl. Probab., 14, 1741-1765 (2004)) to the reversible continuous-time Markov chains. And inductively, we give the lower bound of spectral gap for the ergodic open Jackson network by the decomposition method and the symmetrization procedure. The upper bound of the spectral gap is also presented. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Jackson networks  |2 nationallicence 
690 7 |a reversibility  |2 nationallicence 
690 7 |a decomposition of Markov chain  |2 nationallicence 
690 7 |a spectral gap  |2 nationallicence 
690 7 |a symmetrization  |2 nationallicence 
700 1 |a Mao  |D Yong  |u School of Mathematical Sciences, LMCS, Ministry of Education Beijing Normal University, 100875, Beijing, P. R. China  |4 aut 
700 1 |a Xia  |D Liang  |u Department of Mathematics, Ji'nan University, 510632, Guangzhou, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1879-1894  |x 1439-8516  |q 31:12<1879  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4138-3  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4138-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mao  |D Yong  |u School of Mathematical Sciences, LMCS, Ministry of Education Beijing Normal University, 100875, Beijing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xia  |D Liang  |u Department of Mathematics, Ji'nan University, 510632, Guangzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1879-1894  |x 1439-8516  |q 31:12<1879  |1 2015  |2 31  |o 10114