Piotr Dyszewski

Preprints

The largest fragment in self-similar fragmentation processes of positive index

P. Dyszewski, S. G. G. Johnston, S. Palau, J. Prochno

submitted

arXiv

Random planar trees and the Jacobian conjecture

E. Bisi, P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno, D. Schmid

submitted

arXiv

The extremal point process for branching random walk with stretched exponential displacements

P. Dyszewski and N. Gantert

to appear in Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques

arXiv

Publications

Branching random walk and log-slowly varying tails

A. Bhattacharya, P. Dyszewski, N. Gantert, Z. Palmowski

Latin American Journal of Probability and Mathematical Statistics, 22, 473–491, 2025

doi cite arXiv

Weak quenched limit theorems for a random walk in a sparse random environment

D. Buraczewski, P. Dyszewski, A. Kołodziejska

Electronic Journal of Probability, 29(7), 1 - 30, 2024

doi cite arXiv

The maximum of a branching walk with stretched exponential tails

P. Dyszewski, N. Gantert, T. Höfelsauer

Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques 59(2): 539-562, 2023

doi cite arXiv

Solutions of kinetic-type equations with perturbed collisions

D. Buraczewski, P. Dyszewski and A. Marynych

Stochastic Processes and their Applications, 159, 199–224, 2023

doi cite arXiv

Precise large deviation estimates for branching process in random environment

D. Buraczewski, P. Dyszewski

Annales de l’Institut Henri Poincaré Probabilités et Statistiques 58 (3) 1669 - 1700, 2022

doi cite arXiv

Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation

P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno, D. Schmid

The Annals of Probability 50 (3) 1173 - 1203, 2022

doi cite arXiv

Homogeneous mappings of regularly varying vectors

P. Dyszewski, T. Mikosch

The Annals of Applied Probability 30(6), 2999-3026, 2020

doi cite arXiv

Large deviations for the maximum of a branching random walk with stretched exponential tails

P. Dyszewski, N. Gantert, T. Höfelsauer

Electron. Commun. Probab. 25(72), 2020

doi cite arXiv

Random walks in a strongly sparse random environment

D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych

Stochastic Processes and their Applications, 130(7), 3990-4027, 2020

doi cite arXiv

Random walks in a moderately sparse random environment

D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych and A. Roitershtein

Electronic Journal of Probability, 24(69), 2019

doi cite arXiv

Local fluctuations of critical Mandelbrot cascades

D. Buraczewski, P. Dyszewski, K. Kolesko

Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques

doi cite arXiv

Precise large deviations for random walk in random environment

D. Buraczewski, P. Dyszewski

Electronic Journal of Probability, 23(114), 2018

doi cite arXiv

Iterated random functions and regularly varying tails

E. Damek, P. Dyszewski

Journal of Difference Equations and Applications, 24(9), 1503-1520, 2018

doi cite arXiv

On perpetuities with gamma-like tails

D. Buraczewski, P. Dyszewski, A. Iksanov and A. Marynych

Journal of Applied Probability, 55(2), 386-389, 2018

doi cite arXiv

Thin tails of fixed points of the nonhomogeneous smoothing transform

G. Alsmeyer, P. Dyszewski

Stochastic Processes and their Applications, 127(9), 3014 - 3041, 2017

doi cite arXiv

Iterated random functions and slowly varying tails

P. Dyszewski

Stochastic Processes and their Applications, 126(2), 392 - 413, 2016

doi cite arXiv

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