On the empty essential spectrum for Markov processes in dimension one

DOI10.1007/s10114-005-0587-4zbMath1113.47062OpenAlexW2121709097MaRDI QIDQ2508602

Yong Hua Mao

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0587-4

zbMATH Keywords

essential spectrumDirichlet formdiffusion operatorQ-matrixbirth and death process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35) Applications of operator theory in probability theory and statistics (47N30)

Related Items (5)

Large deviations, central limit, and dynamical phase transitions in the atom maser ⋮ Functional inequalities for transient birth-death processes and their applications ⋮ Sturm–Liouville theory and decay parameter for quadratic markov branching processes ⋮ Criteria for discrete spectrum of 1D operators ⋮ Spectral properties of birth-death polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit bounds of the first eigenvalue.
• Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap.
• Analytic proof of dual variational formula for the first eigenvalue in dimension one
• Functional inequalities for empty essential spectrum
• Functional inequalities for uniformly integrable semigroups and application to essential spectrums
• Weighted Poincaré and Friedrichs Inequalities
• Hardy's inequality with weights

This page was built for publication: On the empty essential spectrum for Markov processes in dimension one