[ABE-L] Próximo seminário (online) de Probabilidade - IM - UFRJ - 6 de setembro

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *September 6, * from *3
p.m. to 4 p.m*. (Rio de Janeiro local time).

The Zoom link for the seminar is

https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09


Speaker:  *Aernout van Enter (Groningen University)*

Title: *Dyson models with random boundary conditions*

Abstract:   I discuss the low-temperature behaviour of Dyson models
(polynomially decaying long-range Ising models in one dimension) in the
presence of random boundary conditions. As for typical random (i.i.d.)
boundary conditions Chaotic Size Dependence occurs, that is, the pointwise
thermodynamic limit of the finite-volume Gibbs states for increasing
volumes does not exist, but the sequence of states moves between various
possible limit points, as a consequence it makes sense to study
distributional limits, the so-called "metastates" which are measures on the
possible limiting Gibbs measures.

The Dyson model is known to have a phase transition for decay parameters α
between 1 and 2. We  show that the metastate changes character at α =3/2.
It is dispersed in both cases, but it  changes between being supported on
two pure Gibbs measures when α is less than 3/2 to  being supported on
mixtures thereof when α is larger than 3/2.

Joint work with Eric Endo and Arnaud Le Ny



All the talks are held in English.

The videos of the online seminars are available:

2020 -  http://www.dme.ufrj.br/?page_id=2885

2021-1  - http://www.dme.ufrj.br/?page_id=3027

For the second semester, a few days after each meeting the video should be
available at http://www.dme.ufrj.br/?page_id=3178

Thanks for circulating this information.

Sincerely,
Organizers: Guilherme Ost and Maria Eulalia Vares
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