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1

The normal distribution is ⊞-infinitely divisible

Serban T. Belinschi, Marek Bożejko, Franz Lehner, Roland Speicher

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 224 KB

english, 2011

2

On a class of free Lévy laws related to a regression problem

Marek Bożejko, Włodzimierz Bryc

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 211 KB

english, 2006

3

Uniformly amenable discrete groups

Journal:

Mathematische Annalen

Year:

1980

Language:

english

File:

PDF, 264 KB

english, 1980

4

Remark on Herz-Schur multipliers on free groups

Journal:

Mathematische Annalen

Year:

1981

Language:

english

File:

PDF, 176 KB

english, 1981

5

Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces

Marek Bożejko, Roland Speicher

Journal:

Mathematische Annalen

Year:

1994

Language:

english

File:

PDF, 1.06 MB

english, 1994

6

Herz-Schur multipliers and uniformly bounded representations of discrete groups

Marek Bożejko, Gero Fendler

Journal:

Archiv der Mathematik

Year:

1991

Language:

english

File:

PDF, 324 KB

english, 1991

7

Noncommutative Lévy Processes for Generalized (Particularly Anyon) Statistics

Marek Bożejko, Eugene Lytvynov, Janusz Wysoczański

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 477 KB

english, 2012

8

Weakly Amenable Groups and Amalgamated Products

Marek Bozejko and Massimo A. Picardello

Journal:

Proceedings of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 240 KB

english, 1993

9

Fock space associated to Coxeter groups of type B

Bożejko, Marek, Ejsmont, Wiktor, Hasebe, Takahiro

Journal:

Journal of Functional Analysis

Year:

2015

Language:

english

File:

PDF, 563 KB

english, 2015

10

Weak Uniqueness Sets for Discrete Groups

Marek Bożejko and Tadeusz Pytlik

Journal:

Transactions of the American Mathematical Society

Year:

1978

Language:

english

File:

PDF, 441 KB

english, 1978

11

Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups

Bożejko, Marek, Bożejko, Wojciech

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2015

Language:

english

File:

PDF, 451 KB

english, 2015

12

Deformed Fock spaces, Hecke operators and monotone Fock space of Muraki

Bożejko, Marek

Journal:

Demonstratio Mathematica

Language:

english

File:

PDF, 206 KB

english

13

An example of a generalized Brownian motion

Marek Bożejko, Roland Speicher

Journal:

Communications in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 697 KB

english, 1991

14

Interpolations between bosonic and fermionic relations given by generalized brownian motions

Marek Bożejko, Roland Speicher

Journal:

Mathematische Zeitschrift

Year:

1996

Language:

english

File:

PDF, 1.10 MB

english, 1996

15

Remarks on therand Δ convolutions

Marek Bożejko, Anna Dorota Krystek, Łukasz Jan Wojakowski

Journal:

Mathematische Zeitschrift

Year:

2006

Language:

english

File:

PDF, 258 KB

english, 2006

16

Meixner Class of Non-Commutative Generalized Stochastic Processes with Freely Independent Values I. A Characterization

Marek Bożejko, Eugene Lytvynov

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 414 KB

english, 2009

17

Meixner Class of Non-commutative Generalized Stochastic Processes with Freely Independent Values II. The Generating Function

Marek Bożejko, Eugene Lytvynov

Journal:

Communications in Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 337 KB

english, 2011

18

Remarks on t-transformations of measures and convolutions

Marek Bożejko, Janusz Wysoczański

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2001

Language:

english

File:

PDF, 184 KB

english, 2001

19

Interacting Fock Spaces and Gaussianization of Probability Measures

Accardi, Luigi, Bożejko, Marek

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1998

Language:

english

File:

PDF, 377 KB

english, 1998

20

On Λ(p) Sets with Minimal Constant in Discrete Noncommutative Groups

Journal:

Proceedings of the American Mathematical Society

Year:

1975

Language:

english

File:

PDF, 163 KB

english, 1975

21

A QUADRATIC REGRESSION PROBLEM FOR TWO-STATE ALGEBRAS WITH AN APPLICATION TO THE CENTRAL LIMIT THEOREM

BOŻEJKO, MAREK, BRYC, WŁODZIMIERZ

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2009

Language:

english

File:

PDF, 263 KB

english, 2009

22

ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)

BOŻEJKO, MAREK

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1999

Language:

english

File:

PDF, 475 KB

english, 1999

23

BESSIS–MOUSSA–VILLANI CONJECTURE AND GENERALIZED GAUSSIAN RANDOM VARIABLES

BOŻEJKO, MAREK

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2008

Language:

english

File:

PDF, 154 KB

english, 2008

24

GENERATING FUNCTIONS OF CAUCHY–STIELTJES TYPE FOR ORTHOGONAL POLYNOMIALS

BOŻEJKO, MAREK, DEMNI, NIZAR

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2009

Language:

english

File:

PDF, 143 KB

english, 2009

25

Positive Definite Bounded Matrices and a Characterization of Amenable Groups

Journal:

Proceedings of the American Mathematical Society

Year:

1985

Language:

english

File:

PDF, 160 KB

english, 1985

26

Boolean convolution in the quaternionic setting

Alpay, Daniel, Bożejko, Marek, Colombo, Fabrizio, Kimsey, David P., Sabadini, Irene

Journal:

Linear Algebra and its Applications

Year:

2016

Language:

english

File:

PDF, 451 KB

english, 2016

27

Noncommutative probability of type D

Bożejko, Marek, Ejsmont, Wiktor, Hasebe, Takahiro

Journal:

International Journal of Mathematics

Year:

2017

Language:

english

File:

PDF, 507 KB

english, 2017

28

Fock representations of Q-deformed commutation relations

Bożejko, Marek, Lytvynov, Eugene, Wysoczański, Janusz

Journal:

Journal of Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 502 KB

english, 2017

29

Approximation of a free Poisson process by systems of freely independent particles

Bożejko, Marek, da Silva, José Luís, Kuna, Tobias, Lytvynov, Eugene

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2018

Language:

english

File:

PDF, 323 KB

english, 2018

30

Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability

Bożejko, Marek, Gal, Światosław R., Młotkowski, Wojciech

Journal:

Communications in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 555 KB

english, 2018

31

Radial Bargmann representation for the Fock space of type B

Asai, Nobuhiro, Bożejko, Marek, Hasebe, Takahiro

Journal:

Journal of Mathematical Physics

Year:

2016

File:

PDF, 870 KB

2016

32

Radial Bargmann representation for the Fock space of type B

Asai, Nobuhiro, Bożejko, Marek, Hasebe, Takahiro

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 870 KB

english, 2016

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