[ABE-L] Seminário de Probabilidade - IM-UFRJ - 10 de janeiro

[Maria Eulalia Vares]

*Probability Seminar -   IM-UFRJ *



Dear colleagues,



Our next seminar will be held on Monday, *January 10, * from *3 p.m. to 4
p.m*. (Rio de Janeiro local time)

The GoogleMeet link for the seminar is https://meet.google.com/pmb-wxav-opv

Speaker:  *Roberto Fernández (NYU Shanghai)*

Title: *High-temperature cluster expansion for classical and quantum spin
lattice  systems with multi-body interactions*

Abstract:  We develop a novel cluster expansion for finite-spin lattice
systems subject to multi-body quantum ---and, in particular, classical---
interactions.  Our approach is based on the use of ``decoupling
parameters", advocated by Park, which relates partition functions with
successive additional interaction terms.  Our treatment, however, leads to
an explicit expansion in a  beta-dependent effective fugacity that permits
an explicit evaluation of free energy and correlation functions at small
beta.  To determine its convergence region we adopt a relatively recent
cluster summation scheme that replaces the traditional use of
Kikwood-Salzburg-like integral equations by more precise  sums in terms of
particular tree-diagrams.

Joint work with Nguyen Tong Xuan.



All the talks are held in English.

More complete information about the seminars will be available at

http://www.dme.ufrj.br/?page_id=2438


Thanks for circulating this information.

Sincerely,

Organizers: Giulio Iacobelli and Maria Eulalia Vares


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