Long-time behavior for a class of Feller processes

DOI10.1090/tran/6371zbMath1342.60144arXiv1401.2646OpenAlexW2964068534MaRDI QIDQ2787959

Nikola Sandrić

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2646

zbMATH Keywords

recurrencepseudodifferential operatorstransienceLévy measureFeller processesstable-like processesFeller-Dynkin diffusionsPruitt indices

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Pseudodifferential operators as generalizations of partial differential operators (35S05) Diffusion processes (60J60) Sample path properties (60G17) Stable stochastic processes (60G52) Pseudodifferential operators (47G30)

Related Items

Ergodic property of stable-like Markov chains, Subexponential upper and lower bounds in Wasserstein distance for Markov processes, Ergodicity of Lévy-Type Processes, Typical long-time behavior of ground state-transformed jump processes, On sub-geometric ergodicity of diffusion processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ergodic property of stable-like Markov chains
• Recurrence and transience criteria for two cases of stable-like Markov chains
• An overshoot approach to recurrence and transience of Markov processes
• A transience condition for a class of one-dimensional symmetric Lévy processes
• The scaling limit behaviour of periodic stable-like processes
• Criteria for ergodicity of Lévy type operators in dimension one
• Erratum to: ``Feller semigroups obtained by variable order subordination
• Uniqueness in law for pure jump Markov processes
• The growth of random walks and Levy processes
• Some estimates of the transition density of a nondegenerate diffusion Markov process
• Conservativeness and extensions of Feller semigroups
• Growth and Hölder conditions for the sample paths of Feller processes
• Topological conditions enabling use of Harris methods in discrete and continuous time
• Pseudo differential operators with negative definite symbols of variable order
• Long-time behavior of stable-like processes
• Recurrence and transience property for a class of Markov chains
• Feller semigroups obtained by variable order subordination
• Some theorems on Feller processes: Transience, local times and ultracontractivity
• STRONG FELLER CONTINUITY OF FELLER PROCESSES AND SEMIGROUPS
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• APPROXIMATION OF FELLER PROCESSES BY MARKOV CHAINS WITH LÉVY INCREMENTS
• Markov Chains and Stochastic Stability
• Symmetric Stable Laws and Stable-Like Jump-Diffusions
• Bernstein functions. Theory and applications