Probabilistic Aspects of Harmonic Analysis

Probabilistic Aspects of Harmonic Analysis

28 April - 5 May, 2012, Będlewo

The conference was organized by Institute of Mathematics of the University of Wroclaw and Institute of Mathematics of the Polish Academy of Sciences.

The programme of the conference covered a number of topics from analysis and probability. Both continuous and discrete settings were considered. The range, reflecting interests of 20 members of our team, was by necessity, quite broad:

  1. Analysis related to Lie groups and their homogeneous spaces.
    • Diferential operators
    • Spectral multipliers
    • Singular integrals
    • Harmonic functions and Poisson kernels, heat kernels
  2. Analysis and probability in various contexts
    • Random walks and heat kernels
    • Spectral distributions of discrete Laplace operators
    • Random recursions and their stationary measures
    • Smoothing transform and branching processes
  3. Ergodic theory with relations to number theory and group actions The first day of the conference was devoted to talks by graduate students -11 of them were presented.

Organizing Committee

  • Krystian Bekała
  • Dariusz Buraczewski
  • Wojciech Cygan
  • Konrad Kolesko
  • Mariusz Mirek
  • Maciej Paluszyński
  • Marcin Preisner
  • Tomasz Szarek
  • Ryszard Szwarc
  • Bartosz Trojan
  • Roman Urban

Scientific Committee

  • Jean-Philippe Anker
  • Gerold Alsmeyer
  • Krzysztof Bogdan
  • Tomasz Byczkowski
  • Ewa Damek
  • Jacek Dziubański
  • Detlef Mueller
  • Fulvio Ricci
  • Wolfgang Woess

Titles of talks of foreign participants

Titles of talks of foreign participants:

Talks of PhD Students:
1. Tetiana Boiko, Blaschke-type condition for subharmonic functions on homogeneous trees
2. Rim Essi, A local theorem limit for reected random walk in N
3. Rahul Garg, Variations on a theorem of Beurling
4. Waldemar Grundmann, Central limit theorems for radial random walks on R^p for p->∞
5. Sebastian Mentemeier, Multivariate Stochastic Fixed Point Equations

Talks of the rest of foreign participants:
6. Gerold Alsmeyer, On a functional equation related to the smoothing transform
7. Nils Byrian Andersen, Cusps forms on hyperbolic spaces
8. Jean-Philippe Anker, The wave and Klein-Gordon equations on hyperbolic spaces
9. Christian Berg, On a transformation of probability measures on the unit interval and its relation to the q-Digamma function iteration
10. Jorge Betancor, Littlewood-Paley functions associated with the Hermite operator and γ-radonifying operators
11. Sara Brofferio Brownian, Motion on Sol group
12. Huy-Qui Bui, Besov spaces associated with operators
13. Jeffrey Collamore, Large deviation tail asymptotics for processes generated via stochastic fixed point equations
14. Michael Cowling, Powers of random matrices
15. Jacques Faraut, Markov-Krein transform
16. Sonia Fourati, Some analytic function related to stable distributions
17. Piotr Graczyk, Some recent results on Wishart laws and processes
18. Tuomas Hytonen, Time-frequency analysis in UMD spaces
19. Alex Iosevich, Distribution of lattice points near families of surfaces and generalized Radon transforms
20. Vadim Kaimanovich, Invariance and unimodularity
21. Maria Gabriella Kuhn, A new family of representations of certain hyperbolic groups
22. Matthias Meiners, Fixed points of multivariate smoothing transforms
23. Thomas Mikosch, Precise large deviations for stationary processes
24. Detlef Mueller, Fourier restriction for 2-dimensional hypersurfaces
25. Paul Mueller, Compensated compactness and interpolatory estimates for Riesz-Transforms
26. Amos Nevo, Ergodic theory beyond amenbale groups
27. Mariana Olvera-Craviato, Stochastic equations appearing in the analysis of ranking algorithms

Programme

Participants

  1. Gerold Alsmeyer (University of Münster)
  2. Nils Andersen (Aarhus University)
  3. Jean-Philippe Anker (Université d'Orléans)
  4. Ali Baklouti (Faculty of Sciences of Sfax)
  5. Krystian Bekala (University of Wrocław)
  6. Alexander Bendikov (University of Wrocław)
  7. Christian Berg (University of Copenhagen)
  8. Jorge Betancor (Universidad de La Laguna)
  9. Tetiana Boiko (TU Graz)
  10. Sara Brofferio (Université Paris Sud)
  11. Huy-Qui Bui (University of Canterbury)
  12. Dariusz Buraczewski (University of Wrocław)
  13. Alejandro J. Castro (Universidad de La Laguna)
  14. Łukasz Chrzanowski (University of Wrocław)
  15. Jeffrey Collamore (University of Copenhagen)
  16. Michael Cowling (University of New South Wales)
  17. Wojciech Cygan (University of Wrocław)
  18. Gian Maria Dall'Ara (Scuola Normale Superiore, Pisa)
  19. Ewa Damek (University of Wrocław)
  20. Piotr Dyszewski (University of Wrocław)
  21. Jacek Dziubański (University of Wrocław)
  22. Rim Essifi (LMPT, Tours)
  23. Jacques Faraut (Université Pierre et Marie Curie)
  24. Juan Carlos Farina (Universidad de La Laguna)
  25. Sonia Fourati (INSA de Rouen - LPMA Paris 6)
  26. Fayza Fourati (IPEIT, Tunis)
  27. Rahul Garg (Indian Institute of Science, Bangalore)
  28. Łukasz Garncarek (University of Wrocław)
  29. Paweł Głowacki (University of Wroclaw)
  30. Piotr Graczyk (Université d'Angers)
  31. Waldemar Grundmann (TU Dortmund)
  32. Tuomas Hytönen (University of Helsinki)
  33. Alex Iosevich (University of Rochester)
  34. Wissem Jedidi (Faculty of Sciences of Tunis)
  35. Vadim Kaimanovich (University of Ottawa)
  36. Imed Kedim (Faculty of Sciences of Sfax)
  37. Grzegorz Kępa (University of Wrocław)
  38. Konrad Kolesko (University of Wrocław)
  39. Maria Gabriella Kuhn (Universita Milano-Bicocca)
  40. Tadeusz Kulczycki (Wrocław University of Technology)
  41. Bartosz Langowski (Wrocław University of Technology)
  42. Alessio Martini (Christian-Albrechts-Universität zu Kiel)
  43. Matthias Meiners (University of Münster)
  44. Sebastian Mentmeier (University of Münster)
  45. Thomas Mikosch (University of Copenhagen)
  46. Mariusz Mirek (University of Wrocław)
  47. Paul F. X. Müller (J. Kepler University)
  48. Detlef Müller (C.A. University Kiel)
  49. Amos Nevo (Technion-Israel Institute of Technology)
  50. Adam Nowak (Polish Academy of Sciences)
  51. Mariana Olvero-Cravioto (Columbia University)
  52. Maciej Paluszyński (University of Wrocław)
  53. Marco Peloso (Università degli Studi di Milano)
  54. Richard Penney (Purdue University)
  55. Carlos Perez (Universidad de Sevilla)
  56. Detlev Poguntke (University of Bielefeld)
  57. Marcin Preisner (University of Wrocław)
  58. Fulvio Ricci (Scuola Normale Superiore, Pisa)
  59. Lourdes Rodriguez-Mesa (Universidad de La Laguna)
  60. Maura Salvatori (Università degli Studi di Milano)
  61. Riddhi Shah (Jawaharlal Nehru University, New Delhi)
  62. Mohamed Sifi (University Tunis El Manar)
  63. Thomas Simon (Université Lille 1)
  64. Peter Sjögren (University of Gothenburg)
  65. Tim Steger (Universita degli studi di Sassari, Sardinia)
  66. Tomasz Z. Szarek (Polish Academy of sciences)
  67. Karol Szczypkowski (Wrocław University of Technology)
  68. Ryszard Szwarc (University of Wrocław)
  69. Grzegorz Świderski (University of Wrocław)
  70. Sundaram Thangavelu (Indian Institute of Science, Bangalore)
  71. Bartosz Trojan (University of Wrocław)
  72. Roman Urban (University of Wrocław)
  73. Michael Voit (TU Dortmund)
  74. Michał Warchalski (University of Wrocław)
  75. Wolfgang Woess (TU Graz)
  76. James Wright (University of Edinburgh)
  77. Błażej Wróbel (University of Wrocław)
  78. Jacek Zienkiewicz (University of Wrocław)