Vincent Tassion: Catalogue data in Autumn Semester 2017

Award: The Golden Owl
Name Prof. Dr. Vincent Tassion
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 36.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 87 93
E-mailvincent.tassion@math.ethz.ch
URLhttp://www.math.ethz.ch/~vtassion
DepartmentMathematics
RelationshipAssociate Professor

NumberTitleECTSHoursLecturers
401-4597-67LProbability on Transitive Graphs4 credits2VV. Tassion
AbstractIn this course, we will present modern topics at the interface between probability and geometric group theory. We will define two random processes on Cayley graphs: the simple random walk and percolation, and discuss their respective behaviors depending on the geometric properties of the underlying group.
ObjectivePresent in an original framework important tools in the study of
- random walks: spectral gap, harmonic functions, entropy,...
- percolation: uniqueness of the infinite cluster, mass-transport principle,...
ContentIn this course, we will present modern topics at the interface between probability and geometric group theory. To every group with a finite generating set, one can associate a graph, called Cayley graph. (For example, the d-dimensional grid is a Cayley graph associated to the group Z^d.) Then, we will define two random processes on Cayley graphs: the simple random walk and percolation, and discuss their respective behaviors depending on the geometric properties of the underlying group. The focus will be on the random processes and their properties, and we will use very few notions of geometric group theory.
LiteratureProbability on trees and network (R. Lyons, Y. Peres)
Prerequisites / Notice- Probability Theory
- No prerequisite on group theory, all the background will be introduced in class.
401-4600-67LStudent Seminar in Probability Restricted registration - show details
Limited number of participants.
Registration to the seminar will only be effective once confirmed by email from the organizers.
4 credits2SA.‑S. Sznitman, J. Bertoin, V. Tassion, W. Werner
Abstract
Objective
ContentThe seminar is centered around a topic in probability theory which changes each semester.
Prerequisites / NoticeThe student seminar in probability is held at times at the undergraduate level (typically during the spring term) and at times at the graduate level (typically during the autumn term). The themes vary each semester.

The number of participants to the seminar is limited. Registration to the seminar will only be effective once confirmed by email from the organizers.
401-5600-00LSeminar on Stochastic Processes Information 0 credits1KJ. Bertoin, A. Nikeghbali, B. D. Schlein, A.‑S. Sznitman, V. Tassion, W. Werner
AbstractResearch colloquium
Objective