دانلود کتاب Parafermionic observables and their applications to planar statistical physics models
by Hugo Duminil-Copin
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عنوان فارسی: مشاهدات پارفرمیونیک و کاربردهای آنها در مدلهای فیزیکی آماری مسطح |
دانلود کتاب
جزییات کتاب
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.