75 citations · 258 across the 15 of their papers we have counts for
13 papers · 1 filter
Large time behavior of Lévy processes and their nonlocal Schrödinger semigroups
Mateusz Kwaśnicki, Phanuel Mariano, Hugo Panzo +1
We study the large time asymptotics of the Feynman-Kac semigroups of the symmetric Lévy process on unbounded open sets. Our main result proves the exact exponential asymptotic deca…
Bell-shaped functions are Poisson kernels
Mateusz Kwaśnicki
In a recent paper [Kwaśnicki, Poisson kernels on the half-plane are bell-shaped, Bull. London Math. Soc. 58 (2026), no. e70303], the author proved that Poisson kernels for a class…
Boundary traces of shift-invariant diffusions in half-plane
Mateusz Kwaśnicki
We study boundary traces of shift-invariant diffusions: two-dimensional diffusions in the upper half-plane (or in ) invari…
Characterisation of the class of bell-shaped functions
Mateusz Kwaśnicki, Thomas Simon
A non-negative function is said to be 'bell-shaped' if tends to zero at and the -th derivative of changes its sign times for every $n = 0, 1, 2, \ld…
Random walks are determined by their trace on the positive half-line
Mateusz Kwaśnicki
We prove that the law of a random walk is determined by the one-dimensional distributions of for , as conjectured recently by Loïc Chaumont a…
Fluctuation theory for Lévy processes with completely monotone jumps
Mateusz Kwaśnicki
We study the Wiener-Hopf factorization for Lévy processes with completely monotone jumps. Extending previous results of L.C.G. Rogers, we prove that the space-time Wiener-Hop…
Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes
Tomasz Grzywny, Mateusz Kwaśnicki
In the first part of this article, we prove two-sided estimates of hitting probabilities of balls, the potential kernel and the Green function for a ball for general isotropic unim…
Contractivity and ground state domination properties for non-local Schrödinger operators
Kamil Kaleta, Mateusz Kwaśnicki, József Lőrinczi
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state transformation of non-local Schrödinger operators based on generators of symmetric…
Hitting times of points for symmetric Lévy processes with completely monotone jumps
Tomasz Juszczyszyn, Mateusz Kwaśnicki
Small-space and large-time estimates and asymptotic expansion of the distribution function and (the derivatives of) the density function of hitting times of points for symmetric Lé…
New families of subordinators with explicit transition probability semigroup
James Burridge, Mateusz Kwaśnicki, Alexey Kuznetsov +1
There exist only a few known examples of subordinators for which the transition probability density can be computed explicitly along side an expression for its Lévy measure and Lap…
Boundary Harnack inequality for Markov processes with jumps
Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwaśnicki
We prove a boundary Harnack inequality for jump-type Markov processes on metric measure state spaces, under comparability estimates of the jump kernel and Urysohn-type property of…
Suprema of Lévy processes
Mateusz Kwaśnicki, Jacek Małecki, Michał Ryznar
In this paper we study the supremum functional , where , , is a one-dimensional Lévy process. Under very mild assumptions we provide a simple…
Boundary Harnack Inequality for alpha-harmonic functions on the Sierpiński triangle
Kamil Kaleta, Mateusz Kwaśnicki
We prove an uniform boundary Harnack inequality for nonnegative functions harmonic with respect to -stable process on the Sierpi{ń}ski triangle, where . Our result…