[ABE-L] Próximo encontro - seminário de probabilidade -IM-UFRJ - 17 de maio

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *May 17, * from *3 p.m. to
4 p.m*. (Rio de Janeiro local time)

The GoogleMeet link for the seminar is  https://meet.google.com/uew-ehhn-kby


Speaker:   *Luca Avena (Leiden University) *

Title: *Random walks in cooling random environments: a journey on the
one-dimensional lattice*

Abstract:  RWRE (Random Walk in Random Environment) is a classical model
for particles moving in a non-homogeneous medium presenting impurities. It
consists of a random walk on a graph with random transition probabilities
determined by an underlying (static) field of random variables. The long
term behavior of RWRE is well-understood, at least on the one-dimensional
integer lattice, where trapping effects due to the spatial
non-homogeneities lead to very different results than for a standard
homogeneous random walk (e.g. non-local recurrence criterion, transient
sub-ballistic regimes, anomalous diffusions, sub-exponential large
deviations, aging).

In this talk we are interested in perturbing the underlying static random
environment by repeatedly re-sampling it from a given law along a sequence
of prescribed times, the so-called cooling sequence. This perturbation
makes the environment dynamic and  the resulting model, recently introduced
in the literature, is referred to as RWCRE (Random Walk in Cooling Random
Environment).

Depending on the choice of the cooling sequence, RWCRE may present strong
homogenization as for a homogeneous Random Walk, or can lead to strong
trapping effects as for RWRE. A surprisingly rich palette of possible limit
scenarios have been explored in a series of recent papers and ongoing works
on the one-dimensional lattice. I plan to give an account of these results
and related techniques. Particular emphasis will be given to fluctuations
and scaling limits where crossovers and mixtures of different laws emerge
as a function of the structure of the cooling sequence.

 Based on joint works with Yuki Chino (Taiwan), Conrado da Costa (Durham),
Frank den Hollander (Leiden) and Jonathan Peterson (Purdue)



All the talks are held in English.

The videos of the online seminars held in 2020 are available at
http://www.dme.ufrj.br/?page_id=2885

For the 2021 series, a few days after each meeting the video should be
available at http://www.dme.ufrj.br/?page_id=3027



Thanks for circulating this information.

Sincerely,
Organizers: Guilherme Ost and Maria Eulalia Vares
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