Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Kwaśnicki, Mateusz"'
Autor:
Kwaśnicki, Mateusz
Consider a path of the reflected Brownian motion in the half-plane $\{y \ge 0\}$, and erase its part contained in the interior $\{y > 0\}$. What is left is, in an appropriate sense, a path of a jump-type stochastic process on the line $\{y = 0\}$ --
Externí odkaz:
http://arxiv.org/abs/2409.19118
Autor:
Kwaśnicki, Mateusz, Wszoła, Jacek
A nonnegative real function f is bell-shaped if it converges to zero at plus and minus infinity and the nth derivative of f changes sign n times for every n = 0, 1, 2, ... Similarly, a two-sided nonnegative sequence a(k) is bell-shaped if it converge
Externí odkaz:
http://arxiv.org/abs/2404.11274
Autor:
Gutowski, Michał, Kwaśnicki, Mateusz
Sobolev-Bregman forms, or $p$-forms, describe Markovian semigroups on $L^p$, and they reduce to Dirichlet forms when $p = 2$. We prove a variant of the Beurling-Deny formula for Sobolev-Bregman forms which correspond to an arbitrary regular Dirichlet
Externí odkaz:
http://arxiv.org/abs/2312.10824
Autor:
Kwaśnicki, Mateusz
We give a short proof of simplicity of the eigenvalues of the fractional Laplace operator in an interval, a result shown recently by Fall, Ghimenti, Micheletti and Pistoia [Calc. Var. Partial Differ. Equ. 62 (2023), #233].
Comment: 1 page
Comment: 1 page
Externí odkaz:
http://arxiv.org/abs/2311.00713
Autor:
Kwaśnicki, Mateusz
We prove a non-extinction result for Fleming-Viot-type systems of two particles with dynamics described by an arbitrary symmetric Hunt process under the assumption that the reference measure is finite. Additionally, we describe an invariant measure f
Externí odkaz:
http://arxiv.org/abs/2307.04143
Autor:
Grzywny, Tomasz, Kwaśnicki, Mateusz
Let $L$ be a L\'evy operator. A function $h$ is said to be harmonic with respect to $L$ if $L h = 0$ in an appropriate sense. We prove Liouville's theorem for positive functions harmonic with respect to a general L\'evy operator $L$: such functions a
Externí odkaz:
http://arxiv.org/abs/2301.08540
Autor:
Kwaśnicki, Mateusz
We study spectral-theoretic properties of non-self-adjoint operators arising in the study of one-dimensional L\'evy processes with completely monotone jumps with a one-sided barrier. With no further assumptions, we provide an integral expression for
Externí odkaz:
http://arxiv.org/abs/2212.11390
We study axiomatic foundations for different classes of constant-function automated market makers (CFMMs). We focus particularly on separability and on different invariance properties under scaling. Our main results are an axiomatic characterization
Externí odkaz:
http://arxiv.org/abs/2210.00048
Autor:
Bañuelos, Rodrigo, Kwaśnicki, Mateusz
The long-standing conjecture that for $p \in (1, \infty)$ the $\ell^p(\mathbb Z)$ norm of the Riesz--Titchmarsh discrete Hilbert transform is the same as the $L^p(\mathbb R)$ norm of the classical Hilbert transform, is verified when $p = 2 n$ or $\fr
Externí odkaz:
http://arxiv.org/abs/2210.00027
This paper investigates higher dimensional versions of the longstanding conjecture verified in [Ba\~nuelos and Kwa\'snicki, Duke Math. J. (2019)] that the $\ell^p$-norm of the discrete Hilbert transform on the integers is the same as the $L^p$-norm o
Externí odkaz:
http://arxiv.org/abs/2209.09737