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Information on the principal investigator and host institution

Information of the project and the call

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Zwarte grupy kwantowe i nieprzemienne procesy stochastyczne

2012/04/S/ST1/00102

Keywords:

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_13: Probability and statistics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Anna Wysoczańska-Kula 

Number of co-investigators in the project: 2

Call: FUGA 1 - announced on 2011-12-15

Amount awarded: 302 000 PLN

Project start date (Y-m-d): 2012-09-01

Project end date (Y-m-d): 2014-08-31

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (6)
  • Book publications / chapters in book publications (1)
  1. Woronowicz construction of compact quantum groups for functions on permutations. Classification result for N=3.
    Authors:
    Anna Kula
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 421 (2), strony: 1673-1712), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.08.007 - link to the publication
  2. An example of a Boolean-free type central limit theorem
    Authors:
    Anna Kula, Janusz Wysoczański
    Academic press:
    Probability and Mathematical Statistisc (rok: 2013, tom: 33 (2), strony: 341-352), Wydawca: University of Wrocław and Wrocław University of Technology
    Status:
    Published
    DOI:
    brak - link to the publication
  3. One-to-one correspondence between generating functionals and cocycles on quantum groups in presence of symmetr
    Authors:
    Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski
    Academic press:
    Mathematische Zeitschrift (rok: 2015, tom: 281(3), strony: 949–965), Wydawca: Springer Berlin Heidelberg
    Status:
    Published
    DOI:
    10.1007/s00209-015-1515-7 - link to the publication
  4. Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
    Authors:
    Fabio Cipriani, Uwe Franz, Anna Kula
    Academic press:
    Journal of Functional Analysis (rok: 2014, tom: 266 (5), strony: 2789–2844), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2013.11.026 - link to the publication
  5. Rank two perturbations of matrices and operators, and operator model for t-transformation of probability measures.
    Authors:
    Anna Kula, Michał Wojtylak, Janusz Wysoczański
    Academic press:
    Journal of Functional Analysis (rok: 2017, tom: 272 (3), strony: 1147-1181), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.021 - link to the publication
  6. Construction of a compact quantum group for transposition-coloring function
    Authors:
    Anna Kula
    Academic press:
    Probability and Mathematical Statistisc (rok: 2013, tom: 33 (2), strony: 287-299), Wydawca: University of Wrocław and Wrocław University of Technology
    Status:
    Published
    DOI:
    brak - link to the publication
  1. Lévy Processes on Quantum Permutation Groups
    Authors:
    Uwe Franz, Anna Kula, Adam Skalski
    Book:
    Noncommutative Analysis, Operator Theory and Applications.Linear Operators and Linear Systems (rok: 2016, tom: 252, strony: 193-259), Wydawca: Birkhäuser Basel
    Status:
    Published
    DOI:
    link to the publication

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