Abstrakt projektu je k dispozici pouze v angličtině.

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.

The proposed research is aimed to contribute to understanding the factors influencing prices on financial markets.

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.