Pierre Nolin: Katalogdaten im Herbstsemester 2016

NameHerr Dr. Pierre Nolin
Adresse
Professur für Mathematik
ETH Zürich, HG G 37.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
E-Mailpierre.nolin@math.ethz.ch
DepartementMathematik
BeziehungAusserordentlicher Examinator

NummerTitelECTSUmfangDozierende
401-3604-66LSpecial Topics in Probability4 KP2VP. Nolin
KurzbeschreibungThe goal of this course is to present recent developments in Percolation Theory
LernzielThe goal of this course is to present recent developments in Percolation Theory
InhaltIndependent percolation is obtained by deleting randomly (and independently) the edges of a lattice, each with a given probability p between 0 and 1. One is then interested in the connectivity properties of the random subgraph so-obtained. It is arguably the simplest model from statistical mechanics that displays a phase transition, a drastic change of behavior as the parameter p varies.

We will first present classical tools and properties of percolation theory: in particular correlation inequalities, exponential decay of connection probabilities, and uniqueness of the infinite connected component. We will then discuss recent developments: for example percolation on Cayley graphs, and continuum limits in two dimensions.
LiteraturB. Bollobas, O. Riordan: Percolation, CUP 2006
G. Grimmett: Percolation 2ed, Springer 1999
Voraussetzungen / BesonderesPrerequisites:
401-2604-00L Probability and Statistics (mandatory)
401-3601-00L Probability Theory (recommended)
401-4600-66LStudent Seminar in Probability Belegung eingeschränkt - Details anzeigen
Limited number of participants.
Registration to the seminar will only be effective once confirmed by email from the organizers.
4 KP2SA.‑S. Sznitman, J. Bertoin, P. Nolin, W. Werner
Kurzbeschreibung
Lernziel
InhaltThe seminar is centered around a topic in probability theory which changes each semester.
Voraussetzungen / BesonderesThe 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 KP1KJ. Bertoin, A. Nikeghbali, P. Nolin, B. D. Schlein, A.‑S. Sznitman, W. Werner
KurzbeschreibungResearch colloquium
Lernziel