probability seminar series spring 2019 - single - …...2019/03/12 · seminar series march random...
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SPEAKER: Frank den Hollander, Leiden University
TIME: 11:00am - 12:00pm, Tuesday, March 12, 2019
VENUE: Room 264, Geography Building, Zhongbei Campus, ECNU (华东师范大学中山北路校区,地理楼264室)
ABSTRACTWe consider a model of a one-dimensional random walk in dynamic random
environment that interpolates between two classical settings: (I) the random
environment is resampled at every unit of time; (II) the random environment is sampled at time
zero only. In our model the random environment is resampled along an increasing sequence
of deterministic times. We consider both the quenched and the annealed version of the model,
and look at various growth regimes for the resampling times. We prove laws of large numbers,
central limit theorems and large deviation principles. We also look at classification of transience
versus recurrence. Joint work with Luca Avena, Yuki Chino and Conrado da Costa.
BIOGRAPHYFrank received his Ph.D. at Leiden University in 1985, under the supervision of Piet Kasteleyn. Since
then he has worked at the universities of Delft, Utrecht, Nijmegen and Eindhoven. He is currently Full
Professor of probability theory at Leiden University.
Frank works in probability theory, statistical physics, ergodic theory, population genetics and
complex networks. His main focus has been on interacting particle systems, phase transitions and
disordered media.
Frank has received multiple grants from the Netherlands Organisation for scientific research, as
well as an advanced grant from the European Research Council. He is also one of the Principle
Investigators of the Dutch Gravitation program NETWORKS, a collaboration between
researchers from Amsterdam, Leiden and Eindhoven that combines stochastics and
algorithmics to solve network problems.
Frank was elected to the Royal Netherlands Academy of Arts and Sciences in 2005. In 2016 he
became Knight in the Order of the Dutch Lion. In 2018 he received a Humboldt Research
Award.
Frank has been Visiting Professor in Bonn, Erlangen, Göttingen, Heidelberg, Toronto and Vancouver.
He has served on many national and international advisory boards. He is currently chair of the
Advisory Council for the Natural and Technical Sciences of the Royal Netherlands Academy of
Arts and Sciences.
PROBABILITY SEMINAR SERIES
MARCH
Random Walks in Cooling Random Environments