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Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution (Paperback, 2012 ed.)
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Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution (Paperback, 2012 ed.)
Series: Lecture Notes in Physics, 853
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Conformal invariance has been a spectacularly successful tool in
advancing our understanding of the two-dimensional phase
transitions found in classical systems at equilibrium. This volume
sharpens our picture of the applications of conformal invariance,
introducing non-local observables such as loops and interfaces
before explaining how they arise in specific physical contexts. It
then shows how to use conformal invariance to determine their
properties. Moving on to cover key conceptual developments in
conformal invariance, the book devotes much of its space to
stochastic Loewner evolution (SLE), detailing SLE's conceptual
foundations as well as extensive numerical tests. The chapters then
elucidate SLE's use in geometric phase transitions such as
percolation or polymer systems, paying particular attention to
surface effects. As clear and accessible as it is authoritative,
this publication is as suitable for non-specialist readers and
graduate students alike.
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