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NOTES ON A PAPER OF MESS     NOTES  PAPER OF MESS       2015/9/29
In his 1990 paper “Lorentz Spacetimes of Constant Curvature” [82], Geoff Mess offered what was, at the time, a completely new approach to the study of spacetimes in 2 + 1-dimensions, prim...
Technion lecture notes     Technion  lecture notes       2015/7/14
Technion lecture notes.
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 consider hyperbolic 3-manifolds with either non-empty compact geodesic boundary, or some toric cusps, or both. For any such M we analyze what portion of the volume of M can be recovered by insertin...
A space is od-compact (resp. od-Lindel\"of) provided any cover by open dense sets has a finite (resp. countable) subcover. We first show with simple examples that these properties behave quite poorly ...
Memoir on the Sigma-invariants and their applications, Part 1.
A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivi\`ere, where it was used to prove the closure of such c...
1.When equipped with 2-rough norm and restricted to continuous paths with bounded variation, the area operator is a closable unbounded operator. 2.The area defined through Riemann-Stieltjes integral i...
Abstract: These notes give an introduction to the Gabriel-Roiter measure of a finite dimensional algebra. They are based on a series of four lectures at the "Advanced School and Conference on Represen...
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...
Notes on amenability      Notes  amenability        2011/1/19
We show that for a Banach algebra A with a bounded approximate identity, the amenability of Ab⊗A, the amenability of Ab⊗Aop and the amenability of A are equivalent. Also if A is a closed i...
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...

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