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;


    CURRICULUM VITAE plik .pdf          COMPLETE LIST OF RESEARCH PUBLICATIONS plik .pdf          JUREK-VERVAATrepresentation          JUREKclassU          JUREKcoordinates

    THE CONJECTURE plik .pdf

    THE MONOGRAPH plik .ps , plik .pdf

    RECENT PUBLICATIONS:
      25. On a method of introducing free-infinitely divisible probabilty measures. plik .pdf
      24. Strong mixing and operator-seldecomposabilty. plik .pdf
      23. On the central limit theorem for shrunken weakly dependent variables. plik .pdf
      22. Remarks on the factorization property of some random integrals. plik .pdf
      21. The strong mixing and the selfdecomposability property. plik .pdf
      20. A random integral calculus on generalized s-selfdecomposable probability measures. plik .pdf
      19. Invariant measures under random integral mappings and marginal distributions of fractional Levy processes. plik .pdf
      18. Remarks on restricted Nevalinna transform. plik .pdf
      17. The Random Integral Representaion Conjecture: a quarter of a century later. plik .pdf
      16. A note on the composition of two random integral mappings J^{b} and some examples. plik .pdf
      15. Random integral representation of class L^f distributions and some related properties plik .pdf
      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

    2). WYKŁAD INAUGURACYJNY (na UWr 2013/14)


    3). BIOGRAFIE:

    (a) A.N. KOŁMOGOROW Andrej Nikołajewicz Kołmogorow (1903-1987)

    (b) 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

      (v) Osobiste wspomnienia o Profesorze K. Urbaniku

    4). DOLNOŚLĄSKI FESTIWAL NAUKI, wrzesień 2017
      Czy warto rzucać monetą? 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 August 21, 2017.