Eigenvalues, Inequalities, and Ergodic Theory

DOI10.1007/b138904zbMath1079.60005arXivmath/0101257OpenAlexW2122828412MaRDI QIDQ4660467

Publication date: 22 March 2005

Published in: Probability and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101257

zbMATH Keywords

ergodic processes economic optimization variational formula reaction-diffusion processes Markovian coupling generalized Cheeder's method Newman and Dirichlet eigenvalues Poincaré, Sobolev, Nash inequalities

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02) Estimates of eigenvalues in context of PDEs (35P15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Sturm-Liouville theory (34B24) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral theory; eigenvalue problems on manifolds (58C40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

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