Piotr Graczyk

activity

20122023

most citedConvolution of orbital measures on symmetric spaces of type

C_{p}

and

D_{p}

6 citations · 8 across the 5 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.PR2020★ 1 cited

Integral Kernels on Complex Symmetric Spaces and for the Dyson Brownian Motion

P. Graczyk, P. Sawyer

In this article, we consider flat and curved Riemannian symmetric spaces in the complex case and we study their basic integral kernels, in potential and spherical analysis: heat, N…

math.PR2017

Space and time inversions of stochastic processes and Kelvin transform

Larbi Alili, Loïc Chaumont, Piotr Graczyk +1

Let $X$ be a standard Markov process. We prove that a space inversion property of $X$ implies the existence of a Kelvin transform of $X$ -harmonic, excessive and operator-harmonic f…

math.PR2014★ 6 cited

Convolution of orbital measures on symmetric spaces of type $C_{p}$ and $D_{p}$

Piotr Graczyk, Patrice Sawyer

We study the absolute continuity of the convolution $δ_{e^{X}}^{♮} ⋆ δ_{e^{Y}}^{♮}$ of two orbital measures on the symmetric spaces ${\bf SO}_0(p,p)/{\bf SO}(p)\times{\bf…

math.PR2012

On inversions and Doob $h$ -transforms of linear diffusions

L. Alili, P. Graczyk, T. Zak

Let $X$ be a regular linear diffusion whose state space is an open interval $E \subseteq R$ . We consider a diffusion $X^{*}$ which probability law is obtained as a Doob $h$ -tr…

Integral Kernels on Complex Symmetric Spaces and for the Dyson Brownian Motion

Space and time inversions of stochastic processes and Kelvin transform

Convolution of orbital measures on symmetric spaces of type Cp​ and Dp​

On inversions and Doob h-transforms of linear diffusions

Convolution of orbital measures on symmetric spaces of type $C_{p}$ and $D_{p}$

On inversions and Doob $h$ -transforms of linear diffusions