Gradient estimates and ergodicity for SDEs driven by multiplicative Lévy noises via coupling
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Publication:2309598
DOI10.1016/j.spa.2019.09.001zbMath1435.60037arXiv1801.05936OpenAlexW2972687470MaRDI QIDQ2309598
Publication date: 1 April 2020
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.05936
stochastic differential equationgradient estimateergodicitycouplingmultiplicative pure jump Lévy noises
Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Stable stochastic processes (60G52) Jump processes on general state spaces (60J76)
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Cites Work
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- Yamada-Watanabe results for stochastic differential equations with jumps
- \(L^{p}\)-Wasserstein distance for stochastic differential equations driven by Lévy processes
- Stochastic differential equations with Sobolev drifts and driven by \(\alpha\)-stable processes
- Pathwise uniqueness for singular SDEs driven by stable processes
- Gradient estimates for SDEs driven by multiplicative Lévy noise
- Ergodicity and exponential \(\beta\)-mixing bounds for multidimensional diffusions with jumps
- Bismut-Elworthy-Li-type formulae for stochastic differential equations with jumps
- Exponential ergodicity of the solutions to SDE's with a jump noise
- Coupling of multidimensional diffusions by reflection
- Coupling methods for multidimensional diffusion processes
- Davie's type uniqueness for a class of SDEs with jumps
- Coupling and exponential ergodicity for stochastic differential equations driven by Lévy processes
- Stochastic flows for Lévy processes with Hölder drifts
- Perturbation of drift-type for Levy processes
- Coupling property and gradient estimates of Lévy processes via the symbol
- Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature
- On the construction and Malliavin differentiability of solutions of Lévy noise driven SDE's with singular coefficients
- Derivative formulae for SDEs driven by multiplicative \(\alpha\)-stable-like processes
- Refined basic couplings and Wasserstein-type distances for SDEs with Lévy noises
- Stochastic differential equations driven by stable processes for which pathwise uniqueness fails
- Gradient estimates for diffusion semigroups with singular coefficients
- Exponential convergence in Lp-Wasserstein distance for diffusion processes without uniformly dissipative drift
- The Dirichlet problem for stable-like operators and related probabilistic representations
- Analysis for Diffusion Processes on Riemannian Manifolds
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Lévy Processes and Stochastic Calculus
- A simple coupling of renewal processes
- Eigenvalues, Inequalities, and Ergodic Theory
- Stochastic flow for SDEs with jumps and irregular drift term