Electronic Resource

The sherrington-kirkpatrick model

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The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.

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Ketersediaan

Informasi Detail

Judul Seri

Springer Monographs in Mathematics

No. Panggil

E541

Penerbit

New York : Springer New York., 2013

Deskripsi Fisik

xii, 156hlm.

Bahasa

English

ISBN/ISSN

9781461462897

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Statistik
Matematika
Probabilitas

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Dmitry Panchenko

Versi lain/terkait

Lampiran Berkas

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