Rough, interacting and space-time processes

Název projektu anglicky
Rough, interacting and space-time processes
Anotace anglicky
The research is focused on complex systems influenced by random noise. Three research areas are identified – processes whose complexity stems from intrinsic interactions such as coalescence or branching (e.g. Brownian net), processes whose intricacy is a result of highly non-linear dynamics of the system (e.g. stochastic total variation flow), and processes whose complicatedness arises from self-similarity and memory (e.g. fractional processes). In each area, pressing problems are identified and set for research. In the first, the properties of scaling limits of interacting particle systems and stochastic flows are studied and new models introduced. In the second, structural properties of non-linear models of vibration and wave propagation are investigated and stochastic image reconstruction techniques and numerical methods for their implementation are proposed. In the third, the research is focused on structural properties of various noise terms with fractal features and memory and on their effect when introduced to non-linear systems.

Kategorie VaV
ZV - Základní výzkum
OECD FORD - hlavní obor
10103 - Statistics and probability
OECD FORD - vedlejší obor
10101 - Pure mathematics
OECD FORD - další vedlejší obor
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CEP - odpovídající obory <br>(dle <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">převodníku</a>)
BA - Obecná matematika<br>BB - Aplikovaná statistika, operační výzkum

Důvěrnost údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Systémové označení dodávky dat
CEP26-GA0-GA-R
Datum dodání záznamu
12. 5. 2026

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