Approximation of heavy-tailed distributions via stable-driven SDEs

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Cites Work

Unnamed Item
Nonlocal diffusion and applications
Reflection couplings and contraction rates for diffusions
Pathwise uniqueness for singular SDEs driven by stable processes
Functional inequalities for stable-like Dirichlet forms
Ten equivalent definitions of the fractional Laplace operator
Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
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.
Riesz potential operators and inverses via fractional centred derivatives
Exponential convergence of Langevin distributions and their discrete approximations
On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process
Heat kernels for time-dependent non-symmetric stable-like operators
On weak uniqueness and distributional properties of a solution to an SDE with \(\alpha\)-stable noise
Stochastic flows for Lévy processes with Hölder drifts
Coupling property and gradient estimates of Lévy processes via the symbol
Ergodicity of stochastic differential equations with jumps and singular coefficients
Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs
Nonasymptotic convergence analysis for the unadjusted Langevin algorithm
On explicit approximations for Lévy driven SDEs with super-linear diffusion coefficients
Quantitative contraction rates for Markov chains on general state spaces
Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
Nonasymptotic bounds for sampling algorithms without log-concavity
On Tamed Euler Approximations of SDEs Driven by Lévy Noise with Applications to Delay Equations
Heat kernel estimates for critical fractional diffusion operators
Stability of Markovian processes II: continuous-time processes and sampled chains
Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
On stochastic equations with respect to semimartingales I.^†
Quantitative Harris-type theorems for diffusions and McKean–Vlasov processes
Eigenvalues, Inequalities, and Ergodic Theory
Analysis and Geometry of Markov Diffusion Operators
On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes
A note on existence of global solutions and invariant measures for jump SDEs with locally one-sided Lipschitz drift
Theoretical Guarantees for Approximate Sampling from Smooth and Log-Concave Densities