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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...
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...
Notes on the peripheral volume of hyperbolic 3-manifolds
Notes the peripheral volume hyperbolic 3-manifolds Geometric Topology
2012/6/27
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.
Notes on a slice distance for singular Lp-bundles
Notes slice distance singular Lp-bundles Differential Geometry
2012/4/17
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...
Notes on area operator, geometric 2-rough paths and Young integral when p^-1+q^-1=1
Notes area operator geometric 2-rough paths Young integral
2012/4/17
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...
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...
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...
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...