Spectral gap for open Jackson networks
Gespeichert in:
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)
Online Zugang:
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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 |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 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 | ||