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5 papers · 2 filters
Heat kernel upper bounds for symmetric Markov semigroups
Zhen-Qing Chen, Panki Kim, Takashi Kumagai +1
It is well known that Nash-type inequalities for symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper bounds for the associated symmetric Markov semigroups. In…
Quenched asymptotics for symmetric Lévy processes interacting with Poissonian fields
Jian Wang
We establish explicit quenched asymptotics for pure-jump symmetric Lévy processes in general Poissonian potentials, which is closely related to large time asymptotic behavior of so…
Approximation of heavy-tailed distributions via stable-driven SDEs
Lu-Jing Huang, Mateusz B. Majka, Jian Wang
Constructions of numerous approximate sampling algorithms are based on the well-known fact that certain Gibbs measures are stationary distributions of ergodic stochastic differenti…
Compactness of semigroups generated by symmetric non-local Dirichlet forms with unbounded coefficients
Yuichi Shiozawa, Jian Wang
Let $(\E,\F)$ be a symmetric non-local Dirichlet from with unbounded coefficient on $L^2(\R^d;\d x)$ defined by $$\E(f,g)=\iint_{\R^d\times \R^d} (f(y)-f(x))(g(x)-g(y)){W(x,y)}\, J…
Quenched Invariance Principle for a class of random conductance models with long-range jumps
Marek Biskup, Xin Chen, Takashi Kumagai +1
We study random walks on (with ) among stationary ergodic random conductances that permit jumps of arbitrary length. Our…