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 2007-2025

95. Note on the innovation variable of hyperbolic characteristic functions;

Mathematica Applicanda, 2025, (to appear)

94. Some de_nite integrals arising from selfdecomposable characteristic functions,

Lithuanian Math. J., vol. 63 no 3 (2023), pp. 291-304.

93. Which Urbanik class Lk, do the hyperbolic and generalized logistic

characteristic functions belong to ? Stat. Probab. Letters, vol 197 (2023)

109814

92. Urbanik type subclasses of free-in_nitely divisible transform, Probab.

Math. Stat., vol. 42 (2022), pp. 23-39. [Also on arXiv:2109.02105]

91. Background driving distribution functions and series representations for

log-gamma selfdecomposable random variables, Theor. Probab. Appl., vol.

67 no 1, (2022), pp.105-117.[English edition]

90. Background driving distribution functions and series representations for

log-gamma selfdecomposable random variables, Teor. Verojatnost. Prime-

nenia, vol. 67 no 1, (2022), pp. 134-149. [Russian edition.]

89. On background drivingdistributionfunctions (BDDF) for some selfdecomposable

variables, Mathematica Applicanda, vol.49 no2 (2021), pp. 85-

109. [Also on: arXiv:2109.02043 [Math.PR] 5 Sept.2021].

88. On a limit theorem for a non-linear scaling, Stat. Probab. Letters, vol.

177, (2021), 109163. [Also on: arXiv:1906.10522].

87. On a relation between classical and free in_nitely divisible transforms,

Probab. Math. Stat., vol. 40, (2020), pp. 349-367.

86. Remarks on compositions of some random integral mappings, Stat.

Probab. Letters, vol. 137, (2018), pp. 277-282.

85. On a method of introducing free-in_nitely divisible probability measures,

Demonstratio Math. , vol.49 no 2, (2016), pp. 236-251.

84. Strong mixing and operator-selfdecomposability, J. Theor. Probability,

vol. 29, (2016), pp. 292-306. (Co-author R.C. Bradley).)

1

83. On central limit theorem for shrunken weakly dependent random variables,

Houston Journal Math., vol. 41 , no 2, (2015), pp. 621-638. (Co-author

R. C. Bradley).

82. Remarks on the factorization property of some random integrals, Stat.

Probab. Letters, vol. 94 (2014), pp. 192-195.

81. The strong mixing and the selfdecomposability properties, Stat. Probab.

Letters, vol. 84, (2014), pp.67-71. (Co-author R. C. Bradley).

80. A random integral calculus on generalized s-selfdecomposable probability

measures, Sankhya A , vol. 76, Issue 1 (2014), pp. 1-14.

79. Invariant measures under random integral mappings and marginal distributions

of fractional Lvy process, Stat. Probab. Letters, vol. 83 (2013),

pp. 177-183.

78. Remarks on restricted Nevalinna transforms, Demonstratio Math., vol.

XIV, (2012), pp. 297-307.

77. The random integral representation conjecture: a quarter of a century

later, Lithuanian Math. J., vol. 51, (2011), pp. 362-369.

76. Factorization property of generalized s-selfdecomposable measures and

the class Lf distributions, Theor. Probab. Appl., vol. 55 (2010), pp. 692-698.

(Co-author A. Czyewska-Jankowska). [English edition]

75. Factorization property of generalized s-selfdecomposable measures and

the class Lf distributions, Teor. Verojatnost. Primenen., vol. 55 (2010), pp,

812-819. (Co-author A. Czyewska-Jankowska). [ Russian edition]

74. A note on a composition of two random integral mappings J β and some

examples, Stoch. Anal. Appl., vol. 27 (2009), pp. 1212-1222. ( Co-author:

A. Czyewska-Jankowska).

73. On relations between Urbanik and Mehler semigroups, Probab.Math.

Stat., vol. 29 (2009), pp. 297-308.

72. A calculus on Lvy exponents and selfdecomposability on Banach spaces,

Probab. Math. Stat., vol. 28 (2008), pp. 271-280.

71. Random integral representations for free-in_nitely divisible and tempered

stable distributions, Stat. Probab. Letters, vol. 77, (2007), pp. 417-

425.

CONFERENCE AND SEMINAR PUBLICATIONS:

1). Measure valued cocycles from my papers in 1982 and 1983 and Mehler semigroups. plik .ps , plik .pdf
2). Abstract and Applied Analysis Conference Hanoi 2002. New classes of s-selfdecomposable measures. plik .pdf
3). Colloquia Mathematica Soc. J.Bolyai, Veszprem 1982. S-Self-Decomp. Prob. Distr. Random Integrals. plik .pdf
4). Urbanik Limit Laws for Sequences of Normed Sums, Ohio 1973 plik .pdf

3). Wykłady:
WYKŁAD INAUGURACYJNY (na UWr 2013/14)
CASPAR NEUMANN, Akademia Młodych Uczonych i Artystów (2021)



4). 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

5). DOLNOŚLĄSKI FESTIWAL NAUKI, wrzesie 2023

Czy warto rzuca monet? 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 June 16, 2025.