1 Introduction and Background.- 2 Rational and Other Explicit Strong Solutions.- 3 Weak Solutions and Related Topics.- 4 Geometric Properties.- 5 Capacities and Isoperimetric Inequalities.- 6 Laplacian Growth and Random Matrix Theory.- 7 Integrability and Moments.- 8 Shape Evolution and Integrability.- 9 Stochastic Löwner and Löwner-Kufarev Evolution.- References.- List of Symbols.- Index.
“This monograph on Laplacian growth is ideal for experts seeking a reference book (with an extensive bibliography spanning almost 600 references) as well as for interested researchers that are new to the subject. … the text does an impressive job covering such an extensive range of topics while providing an expert treatment that is also fairly accessible for students.” (Erik Eugene Lundberg, Mathematical Reviews, November, 2015)
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