From the 1 of 5 linked papers with an AI index.
5 papers
Anchored Nash inequalities and heat kernel bounds for a class of random conductance models with long-range jumps
Sebastian Andres, Xin Chen, Martin Slowik +1
The paper establishes anchored Nash inequalities for non‑local divergence‑form operators with degenerate weights and uses them to derive on‑diagonal heat kernel upper bounds for ra…
Strong and weak convergence rates for slow-fast system driven by multiplicative Lévy noises
Qiu-Chen Yang, Kun Yin
This paper establishes strong and weak convergence rates for slow-fast systems driven by -stable processes with jump coefficients. Unlike existing studies on multiscale systems…
Stochastic homogenization of stable-like process with divergence free drift
Xin Chen, Kun Yin
In this paper we will study homogenization of for stable-like process with divergence-free drift in ergodic environments. In particular, neither the drift nor the stream function a…
Strong and weak convergence rates for fully coupled multiscale stochastic differential equations driven by -stable processes
Kun Yin
We first establish strong convergence rates for multiscale systems driven by -stable processes, with analyses constructed in two distinct scaling regimes. When addressing weak…
Stochastic homogenization of diffusions in turbulence driven by non-local symmetric Lévy operators
Xin Chen, Jian Wang, Kun Yin
We investigate the stochastic homogenization of a class of turbulent diffusions generated by non-local symmetric Lévy operators with divergence-free drift fields in ergodic random…