Rough, interacting and space-time processes
Public support
Provider
Czech Science Foundation
Programme
Standard projects
Call for proposals
SGA0202600001
Main participants
Ústav teorie informace a automatizace AV ČR, v. v. i.
Contest type
VS - Public tender
Contract ID
26-21423S
Alternative language
Project name in Czech
Rough, interacting and space-time processes
Annotation in Czech
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.
Scientific branches
R&D category
ZV - Basic research
OECD FORD - main branch
10103 - Statistics and probability
OECD FORD - secondary branch
10101 - Pure mathematics
OECD FORD - another secondary branch
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CEP - equivalent branches <br>(according to the <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">converter</a>)
BA - General mathematics<br>BB - Applied statistics, operational research
Solution timeline
Realization period - beginning
Jan 1, 2026
Realization period - end
Dec 31, 2028
Project status
Z - Beginning multi-year project
Latest support payment
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Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP26-GA0-GA-R
Data delivery date
May 12, 2026
Finance
Total approved costs
11,246 thou. CZK
Public financial support
10,688 thou. CZK
Other public sources
558 thou. CZK
Non public and foreign sources
0 thou. CZK