Lowest Eigenvalue Bounds for Markov Processes with Obstacles

DOI10.1080/07362994.2013.799356zbMath1282.60074OpenAlexW2087399744MaRDI QIDQ2854338

Dorota Maja Kowalska

Publication date: 18 October 2013

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2013.799356

zbMATH Keywords

principal eigenvalue\(\alpha \)-stable processdomains with obstaclessemigroup of symmetric Markov process

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Transition functions, generators and resolvents (60J35)

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Cites Work

• The Lifschitz singularity for the density of states on the Sierpinski gasket
• Lifschitz tail and Wiener sausage. I
• Potential analysis of stable processes and its extensions. With some of the papers based on the presentations at the workshop on stochastic and harmonic analysis of processes with jumps, Angers, France, May 2--9, 2006.
• Enlargement of obstacles for the simple random walk
• Markovian bridges: weak continuity and pathwise constructions
• Lifschitz Tail and Wiener Sausage on hyperbolic space
• Asymptotics for the wiener sausage
• Lifschitz tail on hyperbolic space: Neumann conditions