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Oddělení stochastické informatiky

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seznam

Oddělení je zaměřeno na výzkum v následujících oblastech matematiky:

  • Stochastická analýza, s důrazem na nekonečně-rozměrné systémy a systémy interagujících částic
  • Striktně stacionární procesy a ergodická teorie
  • Analýza statistických dat se zaměřením na mnohorozměrnou neparametrickou statistiku a na analýzu přežívání
  • Statistická teorie zpracování signálů, speciálně problematika slepé separace signálů
27.01.2022 - 11:08

Detaily

Mgr. Pavel Boček
Mgr. Lucie Fajfrová Ph.D.
Prof. RNDr. Jana Jurečková DrSc.
Ing. Tomáš Kouřim
Mgr. Michal Kupsa Ph.D.
Jan Niklas Latz
Jarmila Maňhalová
RNDr. Jiří Michálek CSc.
Mgr. Martin Ondreját Ph.D.
RNDr. Jan Seidler CSc.
RNDr. Miroslav Šiman Ph.D.
Mgr. Jakub Slavík Ph.D.
Dr. Jan M. Swart
Ing. Petr Tichavský DSc.
Doc. Petr Volf CSc.
Ing. Karel Vrbenský
Období: 2009 - 2011
The aim of the project is to develop several aspects of the theory of Gibbs states and phase transitions of lattice models. Gradient lattice models, where the challenge is to understand the case of non-convex potentials, will be studied by means of multiscale analysis and a refinement of cluster expansions.
Období: 2009 - 2013
The proposed project aims at development of existing methods of blind source separation and blind separation of convolutive mixtures that are important in biomedicine, acoustics and speech processing, and in wireless communications. It will extend previous results of the appplicants in this area.
Období: 2009 - 2011
Recurrence is one of the key concepts in topological dynamics, ergodic and information theories. Especially, limit distributions of return times in dynamical systems and stationary processes have been intensively studied. This field covers fundamental mathematical theorems as well as important apllications, e.g.
Období: 2008 - 2009
Investigation limit behaviour of zero range processes in random environment, invariant principles for stationary stochastic processes; formulating and structuring problem. Development of methods enabling advanced description of asymptotics of particle systems under investigation, derivation of results and applications; organizing workshop on limit theorems and particle systems in Prague.
Období: 2007 - 2009
New theoretically well founded general definitions of the amount of information contained in messages, signals and vision fields from stochastically specified sources. Specification of particular formulas and presentation of properties of the new information measures in a form suitable for engineering applications in research and development of information processing systems.
Období: 2007 - 2009
The project is aimed at investigating qualitative properties of stochastic infinite dimensional systems (in particular, of solutions to infinite dimensional stochastic equations) and at research in infinite dimensional stochastic control theory. The moreimmediate aims are: 1.