Vincent Tassion: Catalogue data in Spring Semester 2020 |  |
| Name | Prof. Dr. Vincent Tassion |
| Field | Mathematics |
| Address | Professur für Mathematik ETH Zürich, HG G 36.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 87 93 |
| vincent.tassion@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~vtassion |
| Department | Mathematics |
| Relationship | Associate Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-0604-00L | Probability Theory and Statistics  | 4 credits | 2V + 1U | V. Tassion | |
| Abstract | Probability models and applications, introduction to statistical estimation and statistical tests. | ||||
| Learning objective | Ability to understand the covered methods and models from probability theory and to apply them in other contexts. Ability to perform basic statistical tests and to interpret the results. | ||||
| Content | The concept of probability space and some classical models: the axioms of Kolmogorov, easy consequences, discrete models, densities, product spaces, relations between various models, distribution functions, transformations of probability distributions. Conditional probabilities, definition and examples, calculation of absolute probabilities from conditional probabilities, Bayes' formula, conditional distribution. Expectation of a random variable,application to coding, variance, covariance and correlation, linear estimator, law of large numbers, central limit theorem. Introduction to statistics: estimation of parameters and tests | ||||
| Lecture notes | yes | ||||
| Literature | Textbuch: P. Brémaud: 'An Introduction to Probabilistic Modeling', Springer, 1988. | ||||
| 401-3600-20L | Student Seminar in Probability Theory  Limited number of participants. Registration to the seminar will only be effective once confirmed by email from the organizers. | 4 credits | 2S | A.‑S. Sznitman, J. Bertoin, V. Tassion, W. Werner | |
| Abstract | |||||
| Learning objective | |||||
| 401-4604-20L | NCCR SwissMAP – Master Class in Mathematical Physics: Minicourse "Percolation Theory" | 2 credits | 2G | V. Tassion | |
| Abstract | |||||
| Learning objective | |||||
| Literature | "Percolation" by Geoffrey Grimmett. " Introduction to percolation theory" Lecture notes by H. Duminil-Copin. | ||||
| Prerequisites / Notice | Probability Theory | ||||
| 401-5600-00L | Seminar on Stochastic Processes | 0 credits | 1K | J. Bertoin, A. Nikeghbali, B. D. Schlein, A.‑S. Sznitman, V. Tassion, W. Werner | |
| Abstract | Research colloquium | ||||
| Learning objective | |||||