[ABE-L] Seminário de Probabilidade - IM-UFRJ - 18 de setembro

[Maria Eulalia Vares]

Dear colleagues,

Our next seminar will be held on Monday, *September 18*, from *3:30 p.m. to
4:30 p.m*. (Rio de Janeiro local time).  This meeting will take place at
room *C116 - Bloco C - CT** – Instituto de Matemática – UFRJ. *There will
be no transmission online.



Speaker:* Mariela Pentón Machado (IME-USP)*



Title: *Central Limit Theorem for the limit process of the discrete time
RAP seen from the origin*

Abstract:  Pablo Ferrari and Luiz Renato Fontes introduced The Random
Average Process (RAP) in 98. We are interested in the discrete-time version
of the RAP. This process is a random surface whose heights evolve taking a
convex combination of the previous heights. In this dynamic, a random
matrix of probabilities with independent and identically distributed rows
determines the weights of the convex combinations. The process seen from
the height in the origin is the random surface result of subtracting the
height in the origin to all the heights in the initial surface. Under
certain conditions, Ferrari and Fontes proved in 98 the existence of a
limit process for the process seen from the height of the origin. In this
talk I will discuss a Central Limit Theorem in the spacial variable for the
limit process seen from  the height in the origin.  This is a joint work
with Luiz Renato Fontes and Leonel Zuaznabar.







More complete information about the seminars can be found at

http://www.dme.ufrj.br/?page_id=3398

Sincerely,

Organizers: Giulio Iacobelli e Maria Eulalia Vares
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