Scientific activity

Papers

  • Alpha-stable random walk has massive thorns, jointly with Alexander Bendikov, Colloquium Mathematicum 138 (1), p. 105-129, 2015, link, arXiv
  • On massive sets for subordinated random walks, jointly with Alexander Bendikov, Mathematische Nachrichten 288(8-9), p. 841–853, 2015, link, arXiv
  • Limit theorems for random walks, jointly with Alexander Bendikov and Bartosz Trojan, Stochastic Processes and their Applications 127(10): 3268-3290, 2017, link, arXiv
  • Asymptotic behaviour of densities of unimodal convolution semigroups, jointly with Tomasz Grzywny and Bartosz Trojan, Transactions of the American Mathematical Society 369, p. 5623-5644, 2017, link, arXiv
  • Heat content for convolution semigroups, jointly with Tomasz Grzywny, Journal of Mathematical Analysis and Applications 446(2), p. 1393–1414, 2017, link, arXiv
  • Oscillating heat kernels on ultrametric spaces, jointly with Alexander Bendikov and Wolfgang Woess, 2016, arXiv, accepted for publication in Journal of Spectral Theory link
  • On the rate of convergence in the central limit theorem for hierarchical Laplacian, jointly with Alexander Bendikov, 2017, arXiv, submitted
  • A note on the generalized heat content for Levy processes, jointly with Tomasz Grzywny, 2017, arXiv, submitted
  • On recurrence of the multidimensional Lindley process, jointly with Judith Kloas, 2017, arXiv, submitted

Conferences and workshops

  • 12th International Workshop for Young Mathematicians: Probability Theory and Statistics, Kraków (Poland), 20-26.09, 2009
  • International Conference on Analysis, Geometry and Probability Related to Group Actions, Zakopane (Poland), 17-24.04, 2010
  • 6th International Conference on Levy Processes: Theory and Applications, Dresden (Germany), 26-30.07, 2010
  • II Summer school in Mathematics, Toruń (Poland), 23-27.08, 2010
  • I Conference on Insurance Mathematics and Investments, Łódź (Poland), 22-24.10, 2010
  • Summer Course in Mathematics-Perugia 2011, Perugia (Italy), 1.08-2.09, 2011
  • Spring School in Probability, Dubrovnik (Croatia), 23-270.4, 2012
  • Probabilistic Aspect of Harmonic Analysis, Będlewo (Poland), 28.04-5.05, 2012
  • Summer School 2012 on Nonlocal Operators, Bielefeld (Germany), 04-06.07, 2012
  • Bielefeld University (Germany), June 2013, 1 mont scholarship, German Academic Exchange Service (DAAD)
  • Satellite Summer School to the 7th International Conference on Lévy Processes, Będlewo (Poland), 9-13.07, 2013
  • Introductory school in Luminy, organized by: Indira Chatterji, Christophe Pittet and Laurent Saloff-Coste, Marseille (CIRM Luminy) (France), 6-17.01, 2014
  • Jumps 2014 - Worksop on jump processes, Dresden (Germany), 6-7.02, 2014
  • Probabilistic Aspects of Harmonic Analysis, Będlewo (Poland), 27.04-3.05, 2014
  • Groups, Graphs, and Random Walks, Cortona (Italy), 2-6 June, 2014
  • Probability and Analysis, Będlewo (Poland), 03-08.05.2015
  • Probabilistic Aspects of Harmonic Analysis, Będlewo (Poland), 14-21.05.2016
  • Final conférence of the MADACA project, Domaine de Chales (France), 20-24.06.2016
  • Austrian Stochastics Days 2016, Graz (Austria), 30.06-01.07.2016
  • 8th International Conference on Lévy Processes, Angers (France), 25-29.07.2016.
  • Probability and Analysis, Będlewo (Poland), 15-19.05.2017
  • The 39th Conference on Stochastic Processes and their Applications (SPA2017), Moscow (Russia), 24-28.07.2017
  • Analysis and Applications. A conference in honor of Elias M. Stein, Wrocław (Poland), 04-08.09.2017

Talks and posters

  • Spring School in Probability, Dubrovnik (Croatia), 23-27.04, 2012, 20-min talk: Green function asymptotic for subordinated random walk
  • Probabilistic Aspect of Harmonic Analysis, Będlewo (Poland), 28.04-5.05, 2012, 20-min talk: Green function asymptotic for subordinated random walk
  • Satellite Summer School to the 7th International Conference on Lévy Processes, Będlewo (Poland), 9-13.07, 2013, poster: Massive sets for a class of random walks on the lattice Z^d
  • Probabilistic Aspects of Harmonic Analysis, Będlewo (Poland), 27.04-3.05, 2014, 20-min talk: Heat kernel asymptotic for subordinated random walk
  • Strukturtheorie-Seminar, Graz University of Technology, 02.12.2014, Asymptotic properties of subordinated random walks
  • Probability and Analysis, Będlewo (Poland), 03-08.05.2015, 25-min talk, Asymptotic properties of subordinated random walks
  • Strukturtheorie-Seminar, Graz University of Technology, 05.11.2015, Asymptotic behaviour of transition probabilities for subordinated random walk
  • Probabilistic Aspects of Harmonic Analysis, Będlewo (Poland), 14-21.05.2016, 30-min talk, Oscillating heat kernels on ultrametric spaces
  • Austrian Stochastics Days 2016, Graz (Austria), 30.06-01.07.2016, 25-min talk, Oscillating heat kernels on ultrametric spaces
  • Strukturtheorie-Seminar, Graz University of Technology, 12.01.2017, Heat content asymptotics for Levy processes