|Book :Percolation Theory
The aim of the percolation theory course is to provide a challenging and stimulating introduction
to a selection of topics within modern theoretical condensed matter physics.
Percolation theory is t. . . . .
|Book :Neural Networks
Contents:Introduction and motivation; Basic concepts; Simple perceptrons and adalines; Multilayer perceptrons and backpropagation; Recurrent networks; Non-supervised networks.
|Book :Lecture Notes on Special Relativity
Contents: Introduction: What is Relativity?; Frames of Reference; Newtonian Relativity; Einsteinian Relativity;Geometry of Flat Spacetime; Electrodynamics in Special Relativity.
|Book :Quantum Physics Notes
Contents: Introduction; The Early History of Quantum Mechanics; The Wave Function; The Two Slit Experiment; Wave Mechanics; Particle Spin and the Stern-Gerlach Experiment; Probability Amplitudes; Vect. . . . .
|Book :Mathematical Population Genetics
These note are intended to give background material in mathemat-
ical population genetics and also, in part, to form the background
for some of the material given by other lecturers.Some standard ge. . . . .
|Book :Galois Groups and Fundamental Groups
The first three chapters may be read by anyone acquainted with basic field
theory, point set topology and the rudiments of complex analysis. Chapter
4 already treats algebraic geometry, but is meant. . . . .
|Book :Algorithmic Information Theory
We introduce algorithmic information theory, also known as the theory of Kol-
mogorov complexity. We explain the main concepts of this quantitative approach
to defining ‘information’. We discuss the. . . . .
|Book :The Limits of Mathematics
Most people believe that anything that is true is true for a reason.
These theorems show that some things are true for no reason at all,
i.e., accidentally, or at random.
|Book :Statistica Mechanics
Contents: Introduction; Phase Transitions; Disorder; Stochastic processes; Surfaces and interfaces.
|Book :Non-Equilibrium Processes
Contents: Aperitifs; Random Walks/Diffusion; Aggregation; Fragmentation; Adsorption Kinetics; Spin Dynamics; Coarsening; Reaction Kinetics; Complex Networks; Disorder.
|Book :The Unitary Gas and its Symmetry Properties
The physics of atomic quantum gases is currently taking advantage of a powerful tool, the possibility to fully adjust the interaction strength between atoms using a magnetically controlled Feshbach re. . . . .
|Book :Dilute Fermi and Bose Gases
I give a unified perspective on the properties of a variety of quantum liquids using the theory of quantum phase transitions. A central role is played by a zero density quantum critical point which is. . . . .
|Book :Notes on string topology
This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and our views about fut. . . . .
|Book :Decoherence: Basic Concepts and Their Interpretation
Introduction to the theory of decoherence. Contents: 1. The phenomenon of decoherence: superpositions, superselection rules, decoherence by "measurements". 2. Observables as a derivable concept. 3. Th. . . . .
|Book :The Loop Algorithm
A review of the Loop Algorithm, its generalizations, and its relation to some other Monte Carlo techniques is given. The loop algorithm is a Quantum Monte Carlo procedure which employs nonlocal change. . . . .
|Book :Conductance quantisation in metallic point contacts
The electrical transport properties of atomic-scale conductors are reviewed, with an emphasis on the relations of this problem with studies on quantum size effects in metallic clusters. A brief introd. . . . .
|Book :The Condensed Matter Physics of QCD
Important progress in understanding the behavior of hadronic matter at high density has been achieved recently, by adapting the techniques of condensed matter theory. At asymptotic densities, the comb. . . . .
|Book :Numerical Studies of the 2D Hubbard Model
Numerical studies of the two-dimensional Hubbard model have shown that it exhibits the basic phenomena seen in the cuprate materials. At half-filling one finds an antiferromagnetic Mott-Hubbard ground. . . . .
|Book :Lectures on Supersymmetry
These notes are based on a number of Graduate Lectures I gave over the
last six years. The aim of these lectures is to provide a concise introduction to
supersymmetry including some classic material. . . . .
|Book :THE LIMITS OF MATHEMATICS
This book presents the final version of Chaitin course on the limits of mathematical reasoning. This course uses algorithmic information theory to show that mathematics has serious limitations, and fe. . . . .