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Institute of Information Theory and Automation
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Projects
Dept.: SI
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. In particular, we will present a proof of the strict convexity of the free energy and...
Dept.: SI
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.
Dept.: SI
Duration: 2006
- 2008
Phase transitions of complex systems are studied with help of probabilistic and analytic methods. The techniques of Pirogov-Sinai theory and cluster expansion are further developed and applied. The classes of investigated lattice models include Kac models with additional short-range interaction (including an application to random networks), phase transition of tilings, and models with continuum...