7 citations · 14 across the 13 of their papers we have counts for
19 papers
The largest fragment in self-similar fragmentation processes of positive index
Piotr Dyszewski, Samuel G. G. Johnston, Sandra Palau +1
We study a self-similar fragmentation process with dislocation measure and self-similarity index . Let denote the size of the largest fragment at time $t \geq…
Branching random walk and log-slowly varying tails
Ayan Bhattacharya, Piotr Dyszewski, Nina Gantert +1
We study a branching random walk with independent and identically distributed, heavy tailed displacements. The offspring law is supercritical and satisfies the Kesten-Stigum condit…
Random planar trees and the Jacobian conjecture
Elia Bisi, Piotr Dyszewski, Nina Gantert +3
We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping who…
Weak quenched limit theorems for a random walk in a sparse random environment
Dariusz Buraczewski, Piotr Dyszewski, Alicja Kołodziejska
We study the quenched behaviour of a perturbed version of the simple symmetric random walk on the set of integers. The random walker moves symmetrically with an exception of some r…
The extremal point process for branching random walk with stretched exponential displacements
Piotr Dyszewski, Nina Gantert
We investigate a branching random walk where the displacements are independent from the branching mechanism and have a stretched exponential distribution. We describe the positions…
Solutions of kinetic-type equations with perturbed collisions
Dariusz Buraczewski, Piotr Dyszewski, Alexander Marynych
We study a class of kinetic-type differential equations , where is an inhomogeneous smoothing transfor…