SPMES: Metastates and spin glass features of d-dimensional spherical ferromagnets.. - Kalle Koskinen

Seminário de Probabilidade e Mecânica Estatística Título: Metastates and spin glass features of d-dimensional spherical ferromagnets in random fields Palestrante: Kalle Koskinen, Gran Sasso Science Institute, Italy Playlist dos videos:    • Seminário de Probabilidade e Mecânica Esta...   Resumo: In this talk, we will present some recent results concerning the vector-valued mean-field spherical model in a random external field, which is a mean-field generalization of the Berlin-Kac model subject to an additional external random field term in the Hamiltonian. Through the random field term, the Gibbs measures become random Gibbs measures, and their convergence in the infinite volume limit can be studied in different probabilistic modes. For this particular model, we are able to characterize exactly the limit points, convergence in distribution, and convergence in empirical distributions. The properties of the model are closely connected to corresponding limit theorems for random walks, and they exhibit similar dimensional dependence for phenomena like transience and recurrence. Time permitting, we will also discuss the spin glass features of the model. This talk is based on the joint work arXiv:2505.16843 with Professor Christof Külske. Apoio: IMPA Instituto Superior Técnico de Lisboa UFBA UFMG UFRGS UFRJ Unicamp Universidade do Porto USP Comitê científico: Luiz Renato Fontes (USP) Tertuliano Franco (UFBA) Nancy Lopes Garcia (Unicamp) Patrícia Gonçalves (IST, Lisboa) Marcelo Hilário (UFMG) Roberto Imbuzeiro (Coordenador, IMPA) Claudio Landim (Coordenador, IMPA) Adriana Neumann (UFRGS) Serguei Popov (UP, Porto) Glauco Valle (UFRJ) Redes Sociais do IMPA: https://linktr.ee/impabr IMPA - Instituto de Matemática Pura e Aplicada © http://www.impa.br | http://impa.br/videos #spmes Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente. The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.