Zobrazeno 1 - 10 of 34 pro vyhledávání: '"Mateusz Kwaśnicki"'
1
Harmonic extension technique for non-symmetric operators with completely monotone kernels
Autor: Mateusz Kwaśnicki
Publikováno v: Calculus of Variations and Partial Differential Equations. 61
We identify a class of non-local integro-differential operators $K$ in $\mathbb{R}$ with Dirichlet-to-Neumann maps in the half-plane $\mathbb{R} \times (0, \infty)$ for appropriate elliptic operators $L$. More precisely, we prove a bijective correspo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a427a76702c8b1b8601d006e1306035
https://doi.org/10.1007/s00526-022-02308-2
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3
Random walks are determined by their trace on the positive half-line
Autor: Mateusz Kwaśnicki
Publikováno v: Annales Henri Lebesgue. 3:1389-1397
We prove that the law of a random walk $X_n$ is determined by the one-dimensional distributions of $\max(X_n, 0)$ for $n = 1, 2, \ldots$, as conjectured recently by Loic Chaumont and Ron Doney. Equivalently, the law of $X_n$ is determined by its upwa
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::093927527cdf66aa4619860945784123
https://doi.org/10.5802/ahl.64
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4
Axioms for Constant Function Market Makers
Autor: Jan Christoph Schlegel, Mateusz Kwaśnicki, Akaki Mamageishvili
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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53ce74a184e0b10f04c35d1af064692f
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7
Contractivity and ground state domination properties for non-local Schrödinger operators
Autor: Mateusz Kwaśnicki, Kamil Kaleta, József Lőrinczi
Publikováno v: Journal of Spectral Theory. 8:165-189
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state transformation of non-local Schrodinger operators based on generators of symmet- ric jump-paring Levy processes with Kato-class confining potentials. Th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee44d6aef60fed247a2f80e17cbbd612
https://doi.org/10.4171/jst/193
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8
Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes
Autor: Mateusz Kwaśnicki, Tomasz Grzywny
Publikováno v: Stochastic Processes and their Applications. 128:1-38
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 unimodal L\'evy processes. Our bounds are sharp under the absence of the G
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::819dbb1f6b40795fbf25403508cca61f
https://doi.org/10.1016/j.spa.2017.04.004
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10
Eigenvalues of the fractional Laplace operator in the unit ball
Autor: Bartłomiej Dyda, Mateusz Kwaśnicki, Alexey Kuznetsov
Publikováno v: Journal of the London Mathematical Society. 95:500-518
We describe a highly efficient numerical scheme for finding two-sided bounds for the eigenvalues of the fractional Laplace operator (−Δ)α/2 in the unit ball D⊂Rd, with a Dirichlet condition in the complement of D. The standard Rayleigh–Ritz v
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::65366a5612f000019392b39e1e9972b3
https://doi.org/10.1112/jlms.12024
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