Probability and Analysis

Probability and Analysis

10 - 16 June, 2012, Będlewo

The conference was organized in honour of Stanisław Kwapień's 70th birthday by eight mathematicians who obtained their PhD's under Prof. Kwapień's supervision. The main aim of the conference was to bring together mathematicians from the areas of analysis and probability, in particular those whose works related to the life-long scientific interests of Professor Kwapień. Fourty talks were delivered covering a number of topics that lied on the interface of Functional Analysis, Probability, Harmonic Analysis, and applications, including stochastic and functional inequalities, applications of martingale methods in Fourier and harmonic analysis, stochastic integration and stochastic differential equations, noncommutative and quantum probability, Banach space theory, interpolation spaces, asymptotic convex geometry and complexity theory.

Organizing Committee

  • Witold Bednorz (University of Warsaw, Poland)
  • Włodzimierz Bryc (University of Cincinatti, USA)
  • Paweł Hitczenko (Drexel University, USA)
  • Jacek Jakubowski (University of Warsaw, Poland)
  • Rafał Latała (University of Warsaw, Poland)
  • Krzysztof Oleszkiewicz (University of Warsaw, Poland)
  • Adam Osękowski (University of Warsaw, Poland)
  • Leszek Słomiński (Nicolaus Copernicus University in Torun, Poland)

Programme

The core of the scientific programme constisted of eleven 50-minute plenary lectures delivered by distinguished mathematicians:

  • Rodrigo Bañuelos (Purdue University), Sharp martingale inequalities and applications to Fourier multipliers, an overview
  • Christer Borell (Chalmers University of Technology), Sum-sets and exit times for Ornstein-Uhlenbeck processes
  • William B. Johnson (Texas A&M University), Approximation properties of a Banach space and its subspaces
  • Hermann König (Christian-Albrechts-University), Khintchine type Inequalities and Cube Slicing
  • Michel Ledoux (University of Toulouse), Chaos of a Markov operator and the fourth moment condition
  • Alain Pajor (University Paris-Est Marne-la-Vallée), Weak and strong moments estimates for convex measures
  • Gilles Pisier (Texas A&M University and University Paris VI), Unconditionality of Martingale Differences (UMD) for Banach and Operator Spaces
  • Jan Rosiński (University of Tennessee), Independence, asymptotic independence, and the resulting limit laws of multiple stochastic integrals
  • Gideon Schechtman (Weizmann Institute of Science), A quantitative version of the commutator theorem for zero trace matrices
  • Stanisław J. Szarek (Case Western Reserve University and University Paris VI), Entanglement thresholds for high-dimensional random quantum states
  • Nicole Tomczak-Jaegermann (University of Alberta), Recent results on the log-concave Ensemble

There were also twenty-four 25-minute invited lectures presented:

  • Ron Blei (University of Connecticut), Integral representations of bilinear functionals on a Hilbert space
  • Marek Bożejko (University of Wrocław), The Khinchine inequality and Riesz product on Coxeter groups
  • Paweł Domański (Adam Mickiewicz University), Taylor coefficient multipliers for real analytic functions
  • Uwe Einmahl (Free University of Brussels), Cluster sets for general partial sum processes in Euclidean space
  • Stefan Geiss (University of Innsbruck), Backward stochastic differential equations and Stochastic Analysis
  • Jørgen Hoffmann-Jørgensen (Aarhus University), Slepian's inequality and the supermodular ordering
  • Adam Jakubowski (Nicolaus Copernicus University), A pinch of functional analysis on the Skorokhod space
  • Mateusz Kwaśnicki (Polish Academy of Sciences and Wrocław University of Technology), Boundary Harnack inequality for non-local operators
  • Rémi Léandre (University of Franche-Comté) , Positivity theorem for Poisson Process in Semi-group theory
  • Michael Marcus (City University of New York), Permanental Fields
  • Mieczysław Mastyło (Adam Mickiewicz University), Interpolation of bilinear operators
  • Paul Müller (J. Kepler University), Vector valued Rearrangement Operators: Extrapolation Properties
  • Alexander Nazarov (Saint Petersburg State University), Convolutions of slowly varying functions and small deviations of Gaussian fields
  • Adam Paszkiewicz (University of Łódź), Orthogonal projections in Hilbert space
  • Katarzyna Pietruska-Pałuba (University of Warsaw), Inequalities of Hardy and Gagliardo-Nirenberg type for Gaussian measures
  • Marcus Riedle (King's College London), Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
  • Ryszard Rudnicki (Polish Academy of Sciences), Piece-wise deterministic processes in biological models
  • Vaja Tarieladze (Georgian Technical University), U-canonical Gaussian measures
  • Mark Veraar (Delft University of Technology), Decoupling inequalities and one-sided versions of the UMD property
  • Elizabeth Werner (Case Western Reserve University), Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
  • Michał Wojciechowski (Polish Academy of Sciences), On the isomorphic type of spaces of smooth functions
  • Wojbor Woyczyński (Case Western Reserve University), Nonlocal superprocesses in evolutionary ecology
  • Henryk Woźniakowski (University of Warsaw and Columbia University), Tractability of Multi-parametric Euler and Wiener Integrated Processes
  • Wiesław Żelazko (Polish Academy of Sciences), A short history of Polish mathematics

and five 15-minute contributed talks given by younger participants:

  • Michał Goliński (Adam Mickiewicz University), Operators without invariant subspaces on some well-known Fréchet spaces
  • Alexey Khartov (Saint-Petersburg State University), Approximation in probability of tensor product-type random fields of increasing parametric dimension
  • Jakub Olejnik (University of Łódź), Convergence theorems for general orthogonal series
  • Nikita Rastegaev (Saint Petersburg), On the asymptotics of integrals related to the generalized Cantor ladder
  • Krzysztof Zajkowski (University of Białystok), Cramér transform and relative entropy

Participants

  1. Radosław Adamczak (University of Warsaw, Warsaw, Poland)
  2. Rodrigo Bañuelos (Purdue University, West Lafayette, USA)
  3. Witold Bednorz (University of Warsaw, Warsaw, Poland)
  4. Ron Blei (University of Connecticut, Storrs, USA)
  5. Christer Borell (Chalmers University of Technology, Göteborg, Sweden)
  6. Marek Bożejko (University of Wrocław, Wrocław, Poland)
  7. Włodzimierz Bryc (University of Cincinnati, Cincinnati, USA)
  8. Tomasz Byczkowski (Wrocław University of Technology, Wrocław, Poland)
  9. Ewa Damek (University of Wrocław, Wrocław, Poland)
  10. Paweł Domański (Adam Mickiewicz University, Poznań, Poland)
  11. Uwe Einmahl (Free University of Brussels, Brussels, Belgium)
  12. Tadeusz Figiel (Institute of Mathematics, Polish Academy of Sciences, Gdańsk, Poland)
  13. Ben Garling (University of Cambridge, Cambridge, UK)
  14. Stefan Geiss (University of Innsbruck, Innsbruck, Austria)
  15. Efim Gluskin (Tel Aviv University, Tel Aviv, Israel)
  16. Michał Goliński (Adam Mickiewicz University, Poznań, Poland)
  17. Yehoram Gordon (Technion, Haifa, Israel)
  18. Paweł Hitczenko (Drexel University, Philadelphia, USA)
  19. Jœrgen Hoffmann-Jœrgensen (Aarhus University, Aarhus, Denmark)
  20. Adam Jakubowski (Nicolaus Copernicus University, Toruń, Poland)
  21. Jacek Jakubowski (University of Warsaw, Warsaw, Poland)
  22. William B
  23. Anna Kamont (Institute of Mathematics, Polish Academy of Sciences, Gdańsk, Poland)
  24. Michał Karoński (Adam Mickiewicz University, Poznań, Poland)
  25. Alexey Khartov (Saint-Petersburg State University, Saint Petersburg, Russia)
  26. Andrzej Komisarski (University of Łódź, Łódź, Poland)
  27. Hermann König (Christian-Albrechts-University, Kiel, Germany)
  28. Włodzimierz Kuperberg (Auburn University, Auburn, USA)
  29. Stanisław Kwapień (University of Warsaw, Warsaw, Poland)
  30. Mateusz Kwaśnicki (Polish Academy of Sciences and Wrocław University of Technology, Wrocław, Poland)
  31. Rafał Latała (University of Warsaw, Warsaw, Poland)
  32. Rémi Léandre (University of Franche-Comté, Besançon, France)
  33. Michel Ledoux (University of Toulouse, Toulouse, France)
  34. Alexander Litvak (University of Alberta, Edmonton, Canada)
  35. Tomasz Łuczak (Adam Mickiewicz University, Poznań, Poland)
  36. Piotr Mankiewicz (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland)
  37. Michael Marcus (City University of New York, New York, USA)
  38. Mieczysław Mastyło (Adam Mickiewicz University, Poznań, Poland)
  39. Jolanta Misiewicz (Warsaw University of Technology, Warsaw, Poland)
  40. Paul Müller (J
  41. Wojciech Młotkowski (University of Wrocław, Wrocław, Poland)
  42. Piotr Nayar (University of Warsaw, Warsaw, Poland)
  43. Alexander Nazarov (Saint Petersburg State University, Saint Petersburg, Russia)
  44. Niels Joergen Nielsen (University of Southern Denmark, Odense, Denmark)
  45. Jakub Olejnik (University of Łodz, Łódź, Poland)
  46. Krzysztof Oleszkiewicz (University of Warsaw, Warsaw, Poland)
  47. Adam Osękowski (University of Warsaw, Warsaw, Poland)
  48. Alain Pajor (University Paris Est Marne-la-Vallée, Paris, France)
  49. Adam Paszkiewicz (University of Lodz, Łódź, Poland)
  50. Katarzyna Pietruska-Pałuba (University of Warsaw, Warsaw, Poland)
  51. Gilles Pisier (Texas A&M University, College Station, USA and University Paris VI, Paris, France)
  52. Nikita Rastegaev (Saint-Petersburg State University, Saint Petersburg, Russia)
  53. Markus Riedle (King's College London, London, UK)
  54. Tomasz Rolski (University of Wrocław, Wrocław, Poland)
  55. Jan Rosiński (University of Tennessee, Knoxville, USA)
  56. Andrzej Rozkosz (Nicolaus Copernicus University, Toruń, Poland)
  57. Ryszard Rudnicki (Institute of Mathematics, Polish Academy of Sciences, Poland)
  58. Gideon Schechtman (Weizmann Institute of Science, Rehovot, Israel)
  59. Carsten Schütt (Christian-Albrechts-University, Kiel, Germany)
  60. Matas Šileikis (Adam Mickiewicz University, Poznań, Poland)
  61. Leszek Słomiński (Nicolaus Copernicus University, Toruń, Poland)
  62. Łukasz Stettner (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland)
  63. Andrzej Szankowski (Hebrew University, Jerusalem, Israel)
  64. Stanisław J
  65. Vaja Tarieladze (Georgian Technical University, Tbilisi, Georgia)
  66. Tomasz Tkocz (University of Warsaw, Warsaw, Poland)
  67. Nicole Tomczak-Jaegermann (University of Alberta, Edmonton, Canada)
  68. Mark Veraar (Delft University of Technology, Delft, The Netherlands)
  69. Mina Vora (East Georgia College, Swainsboro, USA)
  70. Elisabeth Werner (Case Western Reserve University, Cleveland, USA)
  71. Jacek Wesołowski (Warsaw University of Technology, Warsaw, Poland)
  72. Michał Wojciechowski (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland)
  73. Paweł Wolff (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland)
  74. Wojbor Woyczynski (Case Western Reserve University, Cleveland, USA)
  75. Henryk Woźniakowski (University of Warsaw, Warsaw, Poland, and Columbia University, New York, USA)
  76. Jerzy Zabczyk (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland)
  77. Krzysztof Zajkowski (University of Białystok, Białystok, Poland)
  78. Wiesław Żelazko (Institute of Mathematics, Polish Academy of Sciences, Warsaw)