Abstract
This chapter we dedicate to the stochastic counterpart of the Löwner–Kufarev theory first recalling that one of the last (but definitely not least) contributions to this growing theory was the description by Oded Schramm in 1999–2000 [518], of the stochastic Löwner evolution (SLE), also known as the Schramm–Löwner evolution. The SLE is a conformally invariant stochastic process; more precisely, it is a family of random planar curves generated by solving Löwner’s differential equation with the Brownian motion as a driving term.
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© 2014 Springer International Publishing Switzerland
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Gustafsson, B., Teodorescu, R., Vasil’ev, A. (2014). Stochastic Löwner and Löwner–Kufarev Evolution. In: Classical and Stochastic Laplacian Growth. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-08287-5_9
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DOI: https://doi.org/10.1007/978-3-319-08287-5_9
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-08286-8
Online ISBN: 978-3-319-08287-5
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