Conformal invariance in percolation, self-avoiding walks, and related problems

✍ Scribed by Cardy J.

Publisher: Paris seminar
Year: 2002
Tongue: English
Leaves: 23
Category: Library

⬇ Acquire This Volume

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Conformal invariance and percolation

📁 Conformal invariance and percolation

✍ Cardy J. 📂 Library 📅 2001 🌐 English

These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in two-dimensional critical percolation: namely the probability that there exists at least one cluster connecting two disjoint segments of the boundary of a simply connected region; an

Conformal invariance and percolation

📁 Conformal invariance and percolation

✍ Cardy J. 📂 Library 📅 2001 🌐 English

Self-avoiding walk

📁 Self-avoiding walk

✍ Neal Madras 📂 Library 📅 1996, 2013 🏛 Birkhauser 🌐 English

Preface.- Introduction.- Scaling, polymers and spins.- Some combinatorial bounds.- Decay of the two-point function.- The lace expansion.- Above four dimensions.- Pattern theorems.- Polygons, slabs, bridges and knots.- Analysis of Monte Carlo methods.- Related Topics.- Random walk.- Proof of the ren

The Self-Avoiding Walk

📁 The Self-Avoiding Walk

✍ Neal Madras, Gordon Slade (auth.) 📂 Library 📅 2013 🏛 Birkhäuser Basel 🌐 English

The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definition—a path on a lattice that does not visit the same site more than once—it is difficult to analyze mathematically. The Self-Avoiding Wa

The Self-Avoiding Walk

📁 The Self-Avoiding Walk

✍ Neal Madras, Gordon Slade (auth.) 📂 Library 📅 1996 🏛 Birkhäuser Basel 🌐 English

A self-avoiding walk is a path on a lattice that does not visit the same site more than once. In spite of this simple definition, many of the most basic questions about this model are difficult to resolve in a mathematically rigorous fashion. In particular, we do not know much about how far an n

Conformal Invariance and Critical Phenom

📁 Conformal Invariance and Critical Phenomena

✍ Professor Dr. Malte Henkel (auth.) 📂 Library 📅 1999 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

This book provides an introduction to conformal field theory and a review of its applications to critical phenomena in condensed-matter systems. After reviewing simple phase transitions and explaining the foundations of conformal invariance and the algebraic methods required, it proceeds to the e