Alain-Sol Sznitman: Katalogdaten im Herbstsemester 2018

NameHerr Prof. em. Dr. Alain-Sol Sznitman
LehrgebietMathematik
Adresse
Dep. Mathematik
ETH Zürich, HG G 50.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telefon+41 44 633 81 48
Fax+41 44 632 10 85
E-Mailalain-sol.sznitman@math.ethz.ch
URLhttp://www.math.ethz.ch/~alains
DepartementMathematik
BeziehungProfessor emeritus

NummerTitelECTSUmfangDozierende
401-3601-00LProbability Theory Information
Höchstens eines der drei Bachelor-Kernfächer
401-3461-00L Funktionalanalysis I / Functional Analysis I
401-3531-00L Differentialgeometrie I / Differential Geometry I
401-3601-00L Wahrscheinlichkeitstheorie / Probability Theory
ist im Master-Studiengang Mathematik anrechenbar.
10 KP4V + 1UA.‑S. Sznitman
KurzbeschreibungBasics of probability theory and the theory of stochastic processes in discrete time
LernzielThis course presents the basics of probability theory and the theory of stochastic processes in discrete time. The following topics are planned:
Basics in measure theory, random series, law of large numbers, weak convergence, characteristic functions, central limit theorem, conditional expectation, martingales, convergence theorems for martingales, Galton Watson chain, transition probability, Theorem of Ionescu Tulcea, Markov chains.
InhaltThis course presents the basics of probability theory and the theory of stochastic processes in discrete time. The following topics are planned:
Basics in measure theory, random series, law of large numbers, weak convergence, characteristic functions, central limit theorem, conditional expectation, martingales, convergence theorems for martingales, Galton Watson chain, transition probability, Theorem of Ionescu Tulcea, Markov chains.
Skriptavailable, will be sold in the course
LiteraturR. Durrett, Probability: Theory and examples, Duxbury Press 1996
H. Bauer, Probability Theory, de Gruyter 1996
J. Jacod and P. Protter, Probability essentials, Springer 2004
A. Klenke, Wahrscheinlichkeitstheorie, Springer 2006
D. Williams, Probability with martingales, Cambridge University Press 1991
401-4600-68LStudent 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 organisers.
4 KP2SA.‑S. Sznitman, J. Bertoin, V. Tassion, 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, B. D. Schlein, A.‑S. Sznitman, V. Tassion, W. Werner
KurzbeschreibungResearch colloquium
Lernziel