[ABE-L] Próximo seminário de probabilidade - IM-UFRJ - 13 de dezembro

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *December 13, * 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:  *Morgan André (IME-USP)*


Title:  * Time averages of a metastable system of spiking neurons*


Abstract:  We study a stochastic system of spiking neurons in which the
spikes of the neurons are represented by a family of interacting point
processes on the positive real line. The model depends on a parameter
gamma, representing the intensity of the natural leakage of the neurons.
This model has already been proven to exhibit several interesting
behaviors. Firstly it undergoes phase transition with respect to the
parameter gamma. Moreover the time of extinction of finite versions of the
system have been proven to be asymptotically memory-less for small gamma, a
characteristic property of metastable systems. Here we show that this last
result actually holds in the whole subcritical region and that previous to
extinction the finite versions of the system are in a regime which in some
sense resemble stationarity. This is the second characteristic property of
metastable dynamics. The main idea is to use a bypass through the theory of
"Interacting particles systems".


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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