Schramm-Loewner evolution
Kemppainen, Antti.

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  • Schramm-Loewner evolution
  • 紀錄類型: 書目-電子資源 : Monograph/item
    正題名/作者: Schramm-Loewner evolution/ by Antti Kemppainen.
    作者: Kemppainen, Antti.
    出版者: Cham :Springer International Publishing : : 2017.,
    面頁冊數: ix, 145 p. :ill., digital ;24 cm.
    內容註: Introduction -- Iteration of conformal maps -- On stochastic models and connection to statistical physics -- An example: percolation model and Cardy's formula -- On reading this book -- Introduction to stochastic calculus -- Brownian motion -- Stochastic integration -- Itô's formula -- Further topics in stochastic calculus -- Conformal invariance of two-dimensional Brownian motion -- Weak convergence of probability measures -- Introduction to conformal mappings -- Harmonic functions -- Conformal maps -- From Area theorem to distortion -- Conformally invariant tools -- Loewner equation -- Conformal maps of the upper half-plane -- Loewner chains -- Loewner equations in D and Sp -- Schramm-Loewner evolution.-Schramm-Loewner evolution and its elementary properties -- Advanced properties of SLE -- Proofs for some of the advanced properties -- Variants of SLE -- Moments of the derivative of the Loewner map of SLE(k) -- Regularity and convergence of random curves -- Continuity properties of the Loewner chains -- Continuity of SLE(k) -- Convergence of interfaces in the site percolation model -- Index.
    Contained By: Springer eBooks
    標題: Statistical physics. -
    電子資源: http://dx.doi.org/10.1007/978-3-319-65329-7
    ISBN: 9783319653297
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