Thesis supervisor: Mihály Kovács
Location of studies (in Hungarian): Pázmány Páter Catholic University, Faculty of Information Technology aand Bionics Abbreviation of location of studies: PPKE
Description of the research topic:
Many physical phenomena, for example, in neurobiology, in quantum mechanics or when modeling the spread of tumors, may be described using infinite dimensional dynamical systems. When modelling these one often has to include variability in space and time associated with the model parameters and the uncertainty in these can have a profound effect on the model outcome and certainty of forecast. The proposed research will provide information concerning the quality of the models that include uncertainty and develop analytical and numerical tools to extract information from them in a reliable fashion.
Required language skills: English Further requirements: A sound basic knowledge in real and complex analysis, stochastic analysis, functional analysis, partial differential equations and dynamical modeling, and advanced knowledge in computational and simulation tools.
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