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Serving as SIAM President was a unique opportunity for me to observe and participate
in the process by which we establish scienti c policy in this country. As is
inevitable in such circumstances, I ...
Wald Lecture I: Counting Bits with Kolmogorov and Shannon
Rate-Distortion Gaussian Process Entrop Ellipsoids
2015/8/21
Shannon’s Rate-Distortion Theory describes the number of bits needed to approximately
represent typical realizations of a stochastic process X = (X(t) : t ∈ T),while Kolmogorov’s
-entropy describes...
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...
Twelfth Annual Roger Revelle Commemorative Lecture:Troubled Waters of the Gulf of Mexico
Twelfth Annual Roger Revelle Commemorative Lecture Troubled Waters Gulf of Mexico
2015/7/9
The gusher has ended, but before it did, an estimated 206 million gallons of crude oil and methane gas escaped from the Macondo well in lease block Mississippi Canyon 252. We know it better as the BP ...
PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE
Unitary matrix value distribution patterns telephone encryption function
2015/7/8
Typical large unitary matrices show remarkable patterns in their eigenvalue distribution. These same patterns appear in telephone encryption, the zeros of Riemann's zeta function, a variety of physics...
TENTH ANNUAL ROGER REVELLE COMMEMORATIVE LECTURE | The Once and Future Ocean
TENTH ANNUAL ROGER REVELLE COMMEMORATIVE LECTURE Once and Future Ocean
2015/7/3
The ocean has been a feature of Earth's surface for at least four of the past 4.5 billion years and has provided the primary environment for the evolution of microbes that drive Earth's biogeochemical...
Lecture Notes in Computer Science: Incompleteness, uncertainty and autonomy: Intelligent systems
Incompleteness uncertainty autonomy
2014/8/8
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...
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...