Institute of Information Theory and Automation

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Department of Stochastic Informatics

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266052466
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Research in the department is concentrated on following fields of mathematics:

  • Stochastic analysis, with emphasis on infinite-dimensional problems and interacting particle systems
  • Strictly stationary processes and ergodic theory
  • Analysis of statistical data, with focus on multidimensional nonparametric statistics and survival analysis
  • Statistical signal processing, in particular blind signal separation problems
2017-02-03 11:50

Department detail

Mgr. Pavel Boček
Mgr. Lucie Fajfrová Ph.D.
Prof. RNDr. Jana Jurečková DrSc.
RNDr. Jan Kalina Ph.D.
Ing. Václav Kautský
RNDr. Jana Klicnarová Ph.D.
Mgr. Michal Kupsa Ph.D.
Jarmila Maňhalová
RNDr. Jiří Michálek CSc.
Mgr. Martin Ondreját Ph.D.
RNDr. Jan Seidler CSc.
Mgr. Jakub Slavík Ph.D.
Dr. Jan M. Swart
Ing. Ondřej Šembera
RNDr. Miroslav Šiman Ph.D.
Ing. Petr Tichavský DSc.
Doc. Petr Volf CSc.
Ing. Karel Vrbenský
Duration: 2012 - 2015
The project is devoted to the study of threshold phenomena: the abrupt and dramatic change in the properties of a stochastic system once a characteristic parameter passes a threshold value. General principles and various forms of threshold phenomena in large stochastic systems are analyzed.
Duration: 2010 - 2014
The project is aimed at investigating qualitative properties of stochastic infinite dimensional systems (in particular, stochastic partial differential equations) and at research in infinite dimensional stochastic control theory. More specifically, the following topics will be emphasized: 1.
Duration: 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.
Duration: 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.
Duration: 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.
Duration: 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.