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pro vyhledávání: '"Randles, Evan"'
Autor:
Randles, Evan
Resolving an open question of J. A. Carillo and G. Toscani, M. Stawiska recently proved that certain metric spaces of probability measures equipped with Fourier-based metrics are complete. In this note, we extend such Fourier-based metrics to the cla
Externí odkaz:
http://arxiv.org/abs/2402.03983
Autor:
Randles, Evan, Saloff-Coste, Laurent
We consider certain constant-coefficient differential operators on $\mathbb{R}^d$ with positive-definite symbols. Each such operator $\Lambda$ with symbol $P$ defines a semigroup $e^{-t\Lambda}$ , $t>0$ , admitting a convolution kernel $H^t_P$ for wh
Externí odkaz:
http://arxiv.org/abs/2206.05865
Autor:
Randles, Evan
Publikováno v:
Journal of Mathematical Analysis and Applications 519 (2023) 126832
The local (central) limit theorem precisely describes the behavior of iterated convolution powers of a probability distribution on the $d$-dimensional integer lattice, $\mathbb{Z}^d$. Under certain mild assumptions on the distribution, the theorem sa
Externí odkaz:
http://arxiv.org/abs/2201.01319
Autor:
Bui, Huan Q., Randles, Evan
In this article, we consider a class of functions on $\mathbb{R}^d$, called positive homogeneous functions, which interact well with certain continuous one-parameter groups of (generally anisotropic) dilations. Generalizing the Euclidean norm, positi
Externí odkaz:
http://arxiv.org/abs/2103.04161
Autor:
Randles, Evan, Saloff-Coste, Laurent
Publikováno v:
In Journal of Differential Equations 5 August 2023 363:67-125
Autor:
Randles, Evan, Saloff-Coste, Laurent
We consider a class of constant-coefficient partial differential operators on a finite-dimensional real vector space which exhibit a natural dilation invariance. Typically, these operators are anisotropic, allowing for different degrees in different
Externí odkaz:
http://arxiv.org/abs/1908.00595
Autor:
Randles, Evan
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2023 519(2)
Autor:
Randles, Evan, Saloff-Coste, Laurent
We consider a class of homogeneous partial differential operators on a finite-dimensional vector space and study their associated heat kernels. The heat kernels for this general class of operators are seen to arise naturally as the limiting objects o
Externí odkaz:
http://arxiv.org/abs/1602.08744
Autor:
Randles, Evan, Saloff-Coste, Laurent
The study of convolution powers of a finitely supported probability distribution $\phi$ on the $d$-dimensional square lattice is central to random walk theory. For instance, the $n$th convolution power $\phi^{(n)}$ is the distribution of the $n$th st
Externí odkaz:
http://arxiv.org/abs/1507.03501
Autor:
Randles, Evan, Saloff-Coste, Laurent
The local limit theorem describes the behavior of the convolution powers of a probability distribution supported on Z. In this work, we explore the role played by positivity in this classical result and study the convolution powers of the general cla
Externí odkaz:
http://arxiv.org/abs/1212.4700