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18/05/2017 - Phase Transitions and the lack of regularity for g-functions on Dyson Models - Palestrante: Rodrigo Bissacot (IME-USP)

Quando 18/05/2017
das 14h00 até 15h00
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Seminário de Probabilidade e Sistemas Complexos UFSCar/ICMC – 18/05/2017 - 14h00

Palestrante: Rodrigo Bissacot  (IME-USP)

Local: Auditório Fávaro, ICMC.

Data e horário: Quinta feira, dia 18 de maio de 2017 às 14h.

Título: Phase Transitions and the lack of regularity for g-functions on Dyson Models.

Abstract: We discuss Dyson models and the stability of the phase transition phenomenon under a particular type perturbations (using external fields decaying to zero). For Dyson models with slow polynomial decay and in the absence of external fields, we show that its Gibbs measures deep in the phase transition region are not g-measures. In the sense that the natural g-functions are not continuous.  Joint work with Aernout van Enter (Groningen), Arnaud Le Ny (Université Paris-Est) and Eric O. Endo (USP).

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