Thesis supervisor: Bálint Vető
Location of studies (in Hungarian): Department of Stochastics, Institute of Mathematics, BME Abbreviation of location of studies: BME
Description of the research topic:
In the physics literature, a wide class of surface growth phenomena is investigated since the 1980s which appear naturally, e.g. crystal and facet growth, boundaries, solidification fronts, paper wetting or burning fronts. In their seminal paper Kardar, Parisi and Zhang (Phys. Rev. Lett. 56, 1986) gave a stochastic differential equation which is believed and since then partially proved to described these phenomena. To access the solution of the KPZ equation, various mathematical models for surface growth are studied which mimic this behaviour. These models show the same universal scaling and asymptotic properties and hence said to belong to the KPZ universality class. The PhD candidate is assumed to study the limiting
fluctuations of certain models in the KPZ universality class which include interacting particle system models, directed polymers, non-intersecting trajectories and random tiling models.
Required language skills: english Further requirements: strong background in probability and analysis
Number of students who can be accepted: 1
Deadline for application: 2018-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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