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.

He has lectured at conferences, workshops and summer school around the world, and co-organised 55 national and international workshops. He is the author of 170 research papers and 3 monographs. He has supervised 22 Ph.D. students and 34 postdocs.

PROBABILITY SEMINAR SERIES

MARCH

Random Walks in Cooling Random Environments