Zbigniew J. Jurek

RESEARCH INTRESTS : probability theory; functional analysis; statistical physics;

Key words and phrases: limiting distributions; infinite divisibility; stochastic integrals; selfdecomposability; stability; class L distributions; operator-limit distributions;
operator-selfdecomposability; decomposability semi-groups; decomposability groups; Ising models; Lee-Yang theorems;

    THE CONJECTURE plik .ps , plik .pdf
    THE MONOGRAPH plik .ps , plik .pdf
    Complete list of research publications plik .ps , plik .pdf
    RECENT PUBLICATIONS:
      14. Cauchy transforms of measures viewed as some functionals of Fourier transforms. plik .pdf , plik .ps
      13. A calculus on L\'evy exponents and new properties of selfdecomposable probability measures. plik .pdf , plik .ps
      12. Random integral reperesentations for free-infinitely divisible and tempered stable distributions. plik .pdf , plik .ps
      11. Shot noise distributions and selfdecomposability. plik .ps , plik .pdf
      10. On fixed points of Poisson shot noise transforms. plik .pdf , plik .pdf
      9. A new factorization property of selfdecomposable distributions. plik .pdf
      8. The random integral representation hypothesis revisited: new classes of s-selfdecomposable laws. plik .ps , plik .pdf
      7. Selfdecomposable laws associated with hyperbolic functions. plik .ps , plik .pdf
      6. Selfdecomposability, perpetuities and stopping times. plik .ps , plik .pdf
      5. Shot noise distributions and selfdecomposability. plik .pdf , plik .ps
      4. A note on gamma random variables and Dirichlet series. plik .pdf , plik .ps
      3. 1 D Ising, geometric sums and selfdecomposability. plik .ps , plik .pdf
      2. Remarks on the selfdecomposabiliy and new examples. plik .ps , plik .pdf
      1. Generalized Levy's random area integral and selfdecomposability. plik .ps , plik .pdf
    SEMINAR AND LECTURE NOTES (unpublished):
    1). Measure valued cocycles from my papers in 1982 and 1983 and Mehler semigroups. plik .ps , plik .pdf
    KAZIMIERZ URBANIK (1930-2005)
      i) Kazimierz Urbanik and his research: an overview. plik .pdf
      ii) A complete list of K. Urbanik publications. plik .pdf
      iii) K. Urbanik's PhD students. plik .pdf
      iv) K. Urbanik's major academic positions and honors. plik .pdf
    Spotkania Matematyczne ---6 Listopad 2004.
      Czy warto rzucać monetą? plik .ps , plik .pdf
    Institute of Mathematics
    University of Wroclaw
    Pl. Grunwaldzki 2/4
    50-384 Wroclaw, Poland


    e-mail zjjurek@math.uni.wroc.pl
    tel.(48)(71)-375-7435
    fax (48)(71)-375-7429

    Last modified on February 15, 2006.