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math.PR2025
Heat kernels, intrinsic contractivity and ergodicity of discrete-time Markov chains killed by potentials
Wojciech Cygan, Kamil Kaleta, René L. Schilling +1
We study discrete-time Markov chains on countably infinite state spaces, which are perturbed by rather general confining (i.e.\ growing at infinity) potentials. Using a discrete-ti…
math.PR2025
Heat kernels and Green functions for fractional Schrödinger operators with confining potentials
Xin Chen, Kamil Kaleta, Jian Wang
We give two-sided, global (in all variables) estimates of the heat kernel and the Green function of the fractional Schrödinger operator with a non-negative and locally bounded pote…