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This paper is an introduction to the modelling of viscoelastic fluids, with an emphasis on micro-macro (or multiscale) models. Some elements of mathematical and numerical analysis are provided. These notes closely follow the lectures…

Mathematical Physics · Physics 2011-02-03 C. Le Bris , T. Lelièvre

These lecture notes are based on a master course given at University Hassan II - Agdal in spring 2012.

General Physics · Physics 2013-03-12 Nour-Eddine Fahssi

Planning to explore the beginning of the Universe? A lightweight introductory guide to the theory of Inflation.

High Energy Physics - Theory · Physics 2016-12-21 Leonardo Senatore

These lecture notes have been converted to a book titled Network Information Theory published recently by Cambridge University Press. This book provides a significantly expanded exposition of the material in the lecture notes as well as…

Information Theory · Computer Science 2011-12-15 Abbas El Gamal , Young-Han Kim

This paper is a set of lecture notes of my course "Special functions, KZ type equations, and representation theory" given at MIT during the spring semester of 2002. The notes do not contain new results, and are an exposition (mostly without…

Quantum Algebra · Mathematics 2007-05-23 Alexander Varchenko

Despite the empirical success of knowledge distillation, current state-of-the-art methods are computationally expensive to train, which makes them difficult to adopt in practice. To address this problem, we introduce two distinct…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Roy Miles , Adrian Lopez Rodriguez , Krystian Mikolajczyk

This talk was given at DIS'05 (Madison, April 27-May 2, 2005). It is a brief review of ups and downs of high density QCD during the past year.

High Energy Physics - Phenomenology · Physics 2015-06-25 Eugene Levin

This is a summary paper of MODEST-2, a workshop held at the Astronomical Institute ``Anton Pannekoek'' in Amsterdam, 16-17 December 2002. MODEST is a loose collaboration of people interested in MOdelling DEnse STellar systems, particularly…

These are lecture notes for a 4h mini-course held in Toulouse, May 9-12th, at the thematic school on "Quantum topology and geometry". The goal of these lectures is to (a) explain some incarnations, in the last ten years, of the idea of…

Mathematical Physics · Physics 2023-07-07 Gaëtan Borot

These are expanded notes for the mini-course given by the author at the 2022 ICTS workshop `Elliptic curves and the special values of $L$-functions'.

Number Theory · Mathematics 2024-04-22 Francesc Castella

These lecture notes give an introduction to the theory of interacting particle systems. The main subjects are the construction using generators and graphical representations, the mean field limit, stochastic order, duality, and the relation…

Probability · Mathematics 2025-11-10 Jan M. Swart

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious.

Discrete Mathematics · Computer Science 2025-06-17 Leonid A. Levin

These are notes for a summer course given at the PIMS Summer School on Geometric and Topological Aspects of the Representation Theory of Finite Groups in Vancouver, July 27-30 2016.

Representation Theory · Mathematics 2019-02-11 Peter Symonds

This is more or less the content of a 5-hour mini-course that I have given at KTH in the program ``Master class in low-dimensional dynamics'' during May 1-5, 2023. It was not intended to be exhaustive but to give the students a grasp of…

Dynamical Systems · Mathematics 2023-05-16 Jana Rodriguez Hertz

This is a lecture notes for a mini-course in Department of Mathematics, Ghent University, 14 Mar.-25 Mar. 2023.

Logic · Mathematics 2023-04-04 Toshiyasu Arai

These notes grew out of several introductory talks I gave during the years 2003--2005 on motivic integration. They give a short but thorough introduction to the flavor of motivic integration which nowadays goes by the name of geometric…

Algebraic Geometry · Mathematics 2013-08-26 Manuel Blickle

This paper is based on a course given by the author at the University of Rome ``La Sapienza'' in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD…

Algebraic Geometry · Mathematics 2007-05-23 Marco Manetti

This paper contains the notes of lectures on the theory of interlayer exchange coupling presented at the 30-th Ferienschule of the Institut fuer Festkoerperforschung, Forschungszentrum Juelich, March 1999.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Patrick Bruno

Inferring models, predicting the future, and estimating the entropy rate of discrete-time, discrete-event processes is well-worn ground. However, a much broader class of discrete-event processes operates in continuous-time. Here, we provide…

Statistical Mechanics · Physics 2020-05-11 S. E. Marzen , J. P. Crutchfield

This is the text of an introductory lecture delivered at the IHES summer school on motives in July, 2006.

Algebraic Geometry · Mathematics 2007-10-30 Minhyong Kim
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