Seminarium: Rekurencja i samopodobieństwo w procesach stochastycznych
My scientific interest revolve around probability theory, more specifically: branching processes, smoothing transform and stochastic analysis. Selected activity is listed below. Apart form mathematics, I'm interested also in digital photography and Capoeira (pl).
P. Dyszewski, S. G. G. Johnston, S. Palau, J. Prochno, The largest fragment in self-similar fragmentation processes of positive index, submitted (arXiv)
E. Bisi, P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno, D. Schmid, Random planar trees and the Jacobian conjecture, submitted (arXiv)
P. Dyszewski and N. Gantert, The extremal point process for branching random walk with stretched exponential displacements, to appear in Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques (arXiv)
P. Dyszewski, Iterated random functions and slowly varying tails, Stochastic Processes and their Applications, 126(2), 392 - 413, 2016 (final version, arXiv)
G. Alsmeyer, P. Dyszewski, Thin tails of fixed points of the nonhomogeneous smoothing transform, Stochastic Processes and their Applications, 127(9), 3014 - 3041, 2017 (final version, arXiv)
D. Buraczewski, P. Dyszewski, A. Iksanov and A. Marynych, On perpetuities with gamma-like tails, Journal of Applied Probability, 55(2), 386-389, 2018 (final_version, arXiv)
E. Damek, P. Dyszewski, Iterated random functions and regularly varying tails, Journal of Difference Equations and Applications, 24(9), 1503-1520, 2018 (final_version, arXiv)
D. Buraczewski, P. Dyszewski, Precise large deviations for random walk in random environment, Electronic Journal of Probability, 23(114), 2018 (final_version, arXiv)
D. Buraczewski, P. Dyszewski, K. Kolesko, Local fluctuations of critical Mandelbrot cascades, Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques, 2(55), 1179-1202, 2019 (final_version, arXiv)
D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych & A. Roitershtein, Random walks in a moderately sparse random environment, Electronic Journal of Probability, 24(69), 2019 (final version, arXiv)
D. Buraczewski, P. Dyszewski, A. Iksanov, A. Marynych, Random walks in a strongly sparse random environment, Stochastic Processes and their Applications, 130(7), 3990-4027, 2020 (final version, arXiv)
P. Dyszewski, N. Gantert, T. Höfelsauer, Large deviations for the maximum of a branching random walk with stretched exponential tails, Electron. Commun. Probab. 25(72), 2020 (final version, arXiv)
P. Dyszewski, T. Mikosch, Homogeneous mappings of regularly varying vectors, Ann. Appl. Probab, 30(6), 2999-3026, 2020 (final_version, arXiv)
P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno, D. Schmid, Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation, Ann. Probab. 50 (3) 1173 - 1203, 2022 (final version, arXiv)
D. Buraczewski, P. Dyszewski, Precise large deviation estimates for branching process in random environment, Annales de l’Institut Henri Poincaré Probabilités et Statistiques 58 (3) 1669 - 1700, 2022 (final version, arXiv)
D. Buraczewski, P. Dyszewski and A. Marynych, Solutions of kinetic-type equations with perturbed collisions, Stochastic Processes and their Applications, 159, 199–224, 2023 (final version, arXiv)
P. Dyszewski, N. Gantert, T. Höfelsauer, The maximum of a branching walk with stretched exponential tails, Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques 59(2): 539-562, 2023 (final_version, arXiv)
D. Buraczewski, P. Dyszewski, A. Kołodziejska, Weak quenched limit theorems for a random walk in a sparse random environment, Electronic Journal of Probability, 29(7), 1 - 30, 2024 (final_version, arXiv)
A. Bhattacharya, P. Dyszewski, N. Gantert, Z. Palmowski, Branching random walk and log-slowly varying tails, ALEA, Lat. Am. J. Probab. Math. Stat. 22, 473–491, 2025 (final_version, arXiv)
Solutions of kinetic-type equations with perturbed collisions, Discrete Random Structures, Będlewo, Poland 2023 (www)
k-regular self-similar fragmentation process, Stochastic Models VII, Będlewo, Poland 2023 (www)
k-regularne procesy fragmentacji , XVII Konferencja z Probabilistyki, Będlewo, Poland 2023 (www)
Branching random walks and stretched exponential tails, Branching and Interacting Particle Systems, Mainz, Germany, 2023 (www)
Branching random walks and stretched exponential tails, Probability and Analysis, Wrocław, 2022 (www)
K-regular self-similar fragmentation process, Extreme Value Analysis 2021, online, 2021 (www)
K-regular self-similar fragmentation process, Modern Stochastics: Theory and Applications V, online, 2021 (www)
Spacer losowy z rzadkimi losowymi zaburzeniami, XVI Konferencja z Probabilistyki, online, 2021 (www)
Branching random walks, stretched exponential tails and Gumbel distribution, Bernoulli-IMS One World Symposium, 2020 (www, video)
Branching random walks and stretched exponential tails, Online Open Probability School, 2020 (www, video)
Random walk in a sparse random environment, Branching in Innsbruck, Innsbruck, Austria, 2019 (www)
Random walk in a sparse random environment, Probability and Analysis, Będlewo, Poland, Będlewo, Poland, 2019 (www)
Large deviation estimates for exceedance times of branching process in random environment, Stochastic Models VI, Będlewo, Poland, 2018 (www)
Duże odchylenia dla spacerów losowych w losowym środowisku, XV Konferencja z Probabilistyki, Będlewo, Poland, 2018 (www)
Large deviations for a random walk in random environment revisited, Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2018 (www)
Large deviation estimates for exceedance times of branching process in random environment, The 39th Conference on Stochastic Processes and their Applications, Moscow, Russia, 2017 (www)
Precise large deviations for random walk in random environment, 47th Probability Summer School, Saint Flour, France, 2017 (www)
Random difference equation and regularly varying tails, Probability and Analysis, Będlewo, Poland 2017 (www)
Perpetuities with super-heavy tails, Stochastic Models V, Będlewo, Poland, 2016 (www)
Smoothing transform and thin tails, 46th Probability Summer School, Saint Flour, France, 2016 (www)
Lokalne fluktuacje kaskad Mandelbrota w przypadku krytycznym, XIV Konferencja z Probabilistyki, Będlewo, Poland, 2016 (www)
Smoothing transform and Poissonian tails, Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2016 (www)
Fluctuations of critical Mandelbrot Cascades, 45th Probability Summer School, Saint Flour, France, 2015 (www)
Exponential moments of fixed points of the nonhomogeneous smoothing transform, Warsaw Summer School in Probability, Warszawa, Poland, 2015 (www)
Exponential moments of fixed points of the nonhomogeneous smoothing transform, Probability and Analysis, Będlewo, Poland 2015 (www)
Iterated Lipschitz maps with slowly varying tails, 44th Probability Summer School, Saint Flour, France, 2014 (www)
Perpetuities with slowly varying tails, Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2014 (www)
Discrete Random Structures, Będlewo, Poland 2023 (www)
Stochastic Models VII, Będlewo, Poland 2023 (www)
XVII Konferencja z Probabilistyki, Będlewo, Poland 2023 (www)
Branching and Interacting Particle Systems, Mainz, Germany, 2023 (www)
Probability and Analysis, Wrocław, Poland 2022 (www)
RandNET workshop on Random Graphs, Eindhoven, Netherlands, 2022 (www)
Random excursions with Jean Bertoin, online, 2021 (www)
Random operators Arising in the study of random Walks, online, 2021 (www)
Extreme Value Analysis 2021, online, 2021 (www)
Modern Stochastics: Theory and Applications V, online, 2021 (www)
Probability and Analysis 2021, online, 2021 (www)
The 6th International Conference on Stochastic Methods, online, 2021 (www)
XVI Konferencja z Probabilistyki, online, 2021 (www)
The 5th International Workshop on Branching Processes and their Applications, online, 2021 (www)
Recent Progress on Random Walks, online, 2021 (www)
Nonlocal Operators and Markov Processes, online, 2020 (www)
Bernoulli-IMS One World Symposium, online, 2020 (www)
Online Open Probability School, online, 2020 (www)
Branching in Innsbruck, Innsbruck, Austria, 2019 (www)
Walking through the Brownian zoo, Paris, France, 2019 (www)
Probability and Analysis, Będlewo, Poland, Będlewo, Poland, 2019 (www)
48th Probability Summer School, Saint Flour, France, 2018 (www)
Stochastic Models VI, Będlewo, Poland, 2018 (www)
XV Konferencja z Probabilistyki, Będlewo, Poland, 2018 (www)
Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2018 (www)
Innsbruck-München-Kolloquium, Innsbruck, Austria, 2018 (www)
Modern perspectives of branching in probability, Muenster, Germany, 2017 (www)
Analysis and Applications, Wrocław, Poland, 2017 (www)
Graph limits, groups and stochastic processes, Budapest, Hungary, 2017 (www)
39th International Conference on Stochastic Processes and their Applications, Moskow, Russia, 2017 (www)
Spectral properties of large random objects, Bures-sur-Yvette, France, 2017 (www)
47th Probability Summer School, Saint Flour, France, 2017 (www)
Probability and Analysis, Będlewo, Poland 2017 (www)
Probability in mathematics and physics, Darmstadt, Germany, 2017 (www)
Stochastic Models V, Będlewo, Poland, 2016 (www)
46th Probability Summer School, Saint Flour, France, 2016 (www)
XIV Konferencja z Probabilistyki, Będlewo, Poland, 2016 (www)
Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2016 (www)
Geometric Models in Probability, Darmstadt, Germany, 2016 (www)
45th Probability Summer School, Saint Flour, France, 2015 (www)
Warsaw Summer School in Probability, Warszawa, Poland, 2015 (www)
Probability and Analysis, Będlewo, Poland, 2015 (www)
44th Probability Summer School, Saint Flour, France, 2014 (www)
Stochastic Networks and Risk Analysis IV, Będlewo, Poland, 2014 (www)
Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2014 (www)
SMI Summer School in Mathematics, Perugia, Italy, 2013 (www)
7th International Conference on Lévy Processes: Theory and Applications, Wrocław, Poland, 2013 (www)
The Satellite Summer School to the 7th International Conference on Lévy Processes, Będlewo, Poland, 2013 (www)
First German-Polish Joint Conference on Probability Theory and Mathematical Statistics, Toruń, Poland, 2013 (www)
Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland, 2012 (www)