Zwarte grupy kwantowe i nieprzemienne procesy stochastyczne
2012/04/S/ST1/00102
Descriptors
- ST1_9: Algebry operatorowe i analiza funkcjonalna
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
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
Voivodeship: dolnośląskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
FUGA 1 – announced on 2011-12-15
- Amount awarded
- 302 000 PLN
- Project start date
- 2012-09-01
- Project end date
- 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)
-
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 (year: 2017, volume: 272 (3), pages: 1147-1181), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2016.10.021 – link to the publication
-
Construction of a compact quantum group for transposition-coloring function
- Authors:
- Anna Kula
- Academic press:
- Probability and Mathematical Statistisc (year: 2013, volume: 33 (2), pages: 287-299), Publisher: University of Wrocław and Wrocław University of Technology
- Status:
- Published
-
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 (year: 2015, volume: 421 (2), pages: 1673-1712), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2014.08.007 – link to the publication
-
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 (year: 2014, volume: 266 (5), pages: 2789–2844), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2013.11.026 – link to the publication
-
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 (year: 2015, volume: 281(3), pages: 949–965), Publisher: Springer Berlin Heidelberg
- Status:
- Published
- DOI:
- 10.1007/s00209-015-1515-7 – link to the publication
-
An example of a Boolean-free type central limit theorem
- Authors:
- Anna Kula, Janusz Wysoczański
- Academic press:
- Probability and Mathematical Statistisc (year: 2013, volume: 33 (2), pages: 341-352), Publisher: University of Wrocław and Wrocław University of Technology
- Status:
- Published
Book publications / chapters in book publications (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 (year: 2016, volume: 252, pages: 193-259), Publisher: Birkhäuser Basel
- Status:
- Published
- DOI:
- link to the publication