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Witten Laplacian Methods for Critical Phenomena (Paperback) Loot Price: R725
Discovery Miles 7 250
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Witten Laplacian Methods for Critical Phenomena (Paperback): Lo Assane
Witten Laplacian Methods for Critical Phenomena (Paperback): Lo Assane

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Witten Laplacian Methods for Critical Phenomena (Paperback)

Lo Assane

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Loot Price R725 Discovery Miles 7 250 | Repayment Terms: R67 pm x 12*

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This book provides a mathematically rigorous introduction of the Witten Laplacian methods in Statistical Mechanics. The method provides a new point of view, based on PDE techniques, to approach the problem of computing and estimating thermodynamic functions in classical continuous spin models. The method can be thought as a stronger and more flexible version of the Brascamp-Lieb inequalities and is based on an exact representation of the thermodynamic functions in terms of solutions to a second order partial differential equation, involving a deformation of the standard Laplace-Beltrami operator. The formula was initially introduced by Bernard Helffer and Johanne Sjstrand. The book also provides a complete discussion of the L2-Theory for the Witten Laplacian equations on zero and one forms. A detailed proof of the exponential decay of the n-point correlation functions is given, along with a new formula suitable for a direct proof of the analyticity of the pressure for certain unbounded models in Statistical Mechanics and Euclidean Field theory.


Imprint: VDM Verlag Dr. Mueller E.K.
Country of origin: Germany
Release date: September 2008
First published: September 2008
Authors: Lo Assane
Dimensions: 229 x 152 x 6mm (L x W x T)
Format: Paperback - Trade
Pages: 108
ISBN-13: 978-3-639-05658-7
Barcode: 9783639056587
Categories: Promotions
LSN: 3-639-05658-2

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