Noticias en español
Facilitated Exclusion Process and Stefan Problem.
Resumen: We consider an exclusion-type particle process on Z, in which a particle can only jump if it is “pushed” by another particle. We show that the hydrodynamic limit is given by a Stefan problem, and that the active/inactive phases at the micro- and macroscopic levels coincide. Joint work with Clément Erignoux and Marielle Simon.
Read MoreSobre el fenómeno de transición de fase en percolación.
Resumen: Consideremos una subdivisión del plano en hexágonos como una colmena, y coloreemos cada célula en negro con probabilidad p de manera independiente. La cantidad de células negras crece linealmente con p. Sin embargo, al estudiar en especial propiedades de conexiones a gran escala, se observan fenómenos de umbral, centrados alredededor el parámetro p_c=1/2. Se trata pues de una transición de fase. Este fenómeno es descrito por el teorema de Harris-Kesten demostrado en parte en 1960, y completado en 1980. Desde entonces, en mecánica estadística, se han estudiado muchos otros modelos,...
Read MoreTopological phase transition as a statistical reconstruction problem.
Abstract: Joint work with C. Garban. KT or topological phase transitions are a type of phase transition discovered by Kosterlitz and Thouless in the ’70s. Models that undergo this phenomenon are typically 2-dimensional and do not have a classical phase transition. In this talk, I will explain this type of phase transition going over the first proof of their existence by Fröhlich and Spencer which relates them to the localisation of random surfaces. Then, I will discuss a new interpretation of this phase transition that arises from the following question: Let $\phi$ be a discrete...
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