caa a22 4500 605461503 CHVBK 20210128100243.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10114-015-4138-3 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4138-3 Spectral gap for open Jackson networks [Elektronische Daten] [Yong Mao, Liang Xia] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Jackson networks nationallicence reversibility nationallicence decomposition of Markov chain nationallicence spectral gap nationallicence symmetrization nationallicence Mao Yong School of Mathematical Sciences, LMCS, Ministry of Education Beijing Normal University, 100875, Beijing, P. R. China aut Xia Liang Department of Mathematics, Ji'nan University, 510632, Guangzhou, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/12(2015-12-01), 1879-1894 1439-8516 31:12<1879 2015 31 10114 https://doi.org/10.1007/s10114-015-4138-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4138-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mao Yong School of Mathematical Sciences, LMCS, Ministry of Education Beijing Normal University, 100875, Beijing, P. R. China aut NATIONALLICENCE 700 1- Xia Liang Department of Mathematics, Ji'nan University, 510632, Guangzhou, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/12(2015-12-01), 1879-1894 1439-8516 31:12<1879 2015 31 10114