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Technion lecture notes     Technion  lecture notes       font style='font-size:12px;'> 2015/7/14
Technion lecture notes.
Lecture notes for Math 256B,Version 2015     Lecture notes  Math 256B  Version 2015       font style='font-size:12px;'> 2015/7/14
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.
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...
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...
We are producing an innovative theory to make a group of autonomous systems as intelligent as possible to serve as surrogate human decision makers in a hybrid group of humans and machines for a va...
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       font style='font-size:12px;'> 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...
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       font style='font-size:12px;'> 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...
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        font style='font-size:12px;'> 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...
In this work I present a detailed description of the simplest nonlinear model for an optical wavelength paramagnetic phaser, which is an acoustic analog of the class-B lasers. Despite of its simplicit...

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