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Nothing found here is original except for a few mistakes and misprints here and there. These notes are simply a record of what I cover in class, to spare the students the necessity of taking the lectu...
KPP invasions in periodic media:lecture notes for the Toulouse KPP school
KPP invasions periodic media Toulouse KPP
2015/7/14
KPP invasions in periodic media:lecture notes for the Toulouse KPP school.
Waves in weakly random media:lecture notes for the Vienna Inverse Problems school
weakly random media Vienna Inverse Problems
2015/7/14
Wave propagation in complex media is an ubiquitous phenomenon–applications include light propagation through the atmosphere, underwater acoustic, tomography, and innumerable other ones. These problems...
The Technion school lecture notes:the moving plane method,or doing PDEs in a cafe
Technion school lecture notes moving plane method doing PDEs a cafe
2015/7/14
We will have two main characters in these notes: the maximum principle and the sliding method. The latter has a twin, the moving plane method–they are often so indistinguishable that we will count the...
IMPANGA lecture notes on log canonical thresholds
IMPANGA lecture notes log canonical thresholds Algebraic Geometry
2011/9/6
Abstract: These are lecture notes from the IMPANGA 2010 Summer school. They give an introduction to log canonical thresholds, covering some basic properties, examples, and some recent results and open...
Lecture notes on stabilization of contact open books
Open books stabilization contact structures surgery
2011/2/24
This note explains how to relate some contact geometric opera-tions, such as surgery, to operations on an underlying contact open book. In particular, we shall give a simple proof of the fact that sta...
A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes
John-Nirenberg John-Stromberg theorems BMO
2010/11/9
We develop some techniques for studying various versions of the function space BMO. Special cases of one of our results give alternative proofs of the celebrated John- Nirenberg inequality and of rel...
Lecture notes on Mather's theory for Lagrangian systems
Lecture notes Mather's theory Lagrangian systems
2010/11/9
These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Universit\`a degli Studi di Napoli...
Lecture notes on variational models for incompressible Euler equations
variational models incompressible Euler equations
2010/12/8
These notes briefly summarize the lectures for the Summer School ”Optimal transportation:
Theory and applications” held by the second author in Grenoble during the week of June 22-
26, 2009. Their g...
Lecture Notes on Gradient Flows and Optimal Transport
Lecture Notes Gradient Flows Optimal Transport
2010/12/9
We present a short overview on the strongest variational formulation for gradient flows of geodesically -convex functionals in metric spaces, with applications to diffusion equations in Wasserstein s...