Lifschitz Tail and Wiener Sausage on hyperbolic space

DOI10.1002/cpa.3160420802zbMath0696.60079OpenAlexW2047406256MaRDI QIDQ3472949

Alain-Sol Sznitman

Publication date: 1989

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160420802

zbMATH Keywords

Brownian motionPoisson point processWiener sausagehyperbolic Brownian motionhyperbolic Laplace operatorfirst exit time from a horosphere

Mathematics Subject Classification ID

Brownian motion (60J65) Random operators and equations (aspects of stochastic analysis) (60H25) Diffusion processes (60J60)

Related Items

Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket, Density of states for the Anderson model on nested fractals, Uniform approximation of the integrated density of states for long-range percolation Hamiltonians, A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states, The Canophy graph and level statistics for random operators on trees, Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket, Percolation diffusion., Long time behavior of the volume of the Wiener sausage on Dirichlet spaces, Groupoids, von Neumann algebras and the integrated density of states, The Lifschitz singularity for the density of states on the Sierpinski gasket, Lowest Eigenvalue Bounds for Markov Processes with Obstacles, Approximation of the integrated density of states on sofic groups, Lifschitz tail and Wiener sausage. I

Cites Work

• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• Unnamed Item
• Unnamed Item
• Unnamed Item