Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric \(\alpha\)-stable processes
From MaRDI portal
Publication:1775511
DOI10.1007/s11118-004-5392-7zbMath1070.31006OpenAlexW1997428667MaRDI QIDQ1775511
Yuichi Shiozawa, Masayoshi Takeda
Publication date: 3 May 2005
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-004-5392-7
Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Stable stochastic processes (60G52) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items
Speed of stability for birth-death processes ⋮ Sharp bounds for the first eigenvalue of symmetric Markov processes and their applications ⋮ Exponential growth of the numbers of particles for branching symmetric \(\alpha\)-stable processes ⋮ \(L^p\)-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces ⋮ Extinction of branching symmetric α-stable processes ⋮ Maximal displacement of branching symmetric stable processes ⋮ Fractional calculus for power functions and eigenvalues of the fractional Laplacian ⋮ Exponential and strong ergodicity for one-dimensional time-changed symmetric stable processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inequality for the spectral radius of Markov processes
- Solution of stochastic differential equations by random time change
- Dirichlet forms and symmetric Markov processes
- The principal eigenvalue for jump processes
- Hardy's inequality for Dirichlet forms
- Conditional gaugeability and subcriticality of generalized Schrödinger operators
- Perturbation of Dirichlet forms by measures
- An estimate for the \(L^ 2\)-norm of a quasi continuous function with respect to a smooth measure
- A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
- Gaugeability and conditional gaugeability
- First Passage Times for Symmetric Stable Processes in Space
- Asymptotic evaluation of certain markov process expectations for large time, I
- On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle
- On a large deviation for symmetric markov processes with finite life time
- Trace inequalities for operators associated to regular Dirichlet forms
- Subcriticality and gaugeability for symmetric [alpha-stable processes]
- On the Distribution of First Hits for the Symmetric Stable Processes