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Parafermionic Observables And Their Applications To Planar Statistical Physics Models Hugo Duminilcopin

  • SKU: BELL-6821980
Parafermionic Observables And Their Applications To Planar Statistical Physics Models Hugo Duminilcopin
$ 31.00 $ 45.00 (-31%)

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Parafermionic Observables And Their Applications To Planar Statistical Physics Models Hugo Duminilcopin instant download after payment.

Publisher: SOCIEDADE BRASILEIRA DE MATEMATICA
File Extension: PDF
File size: 4.24 MB
Pages: 371
Author: Hugo Duminil-Copin
Language: English
Year: 2013

Product desciption

Parafermionic Observables And Their Applications To Planar Statistical Physics Models Hugo Duminilcopin by Hugo Duminil-copin instant download after payment.

This volume is based on the PhD thesis of the author.
Through the examples of the self-avoiding walk, the random-cluster model,
the Ising model and others, the book explores in details two important
techniques:
1.Discrete holomorphicity and parafermionic observables, which have
been used in the past few years to study planar models of statistical
physics (in particular their conformal invariance), such as
random-cluster models and loop O(n)-models.
2. The Russo-Seymour-Welsh theory for percolation-type models with
dependence. This technique was initially available for Bernoulli
percolation only. Recently, it has been extended to models with
dependence, thus opening the way to a deeper study of their critical
regime.

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