Abstract
This chapter develops in detail the connection of growing hulls and the Loewner differential equation satisfied by families of conformal maps.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
References
Beffara, V.: Schramm-Loewner evolution and other conformally invariant objects. In: Probability and Statistical Physics in Two and More Dimensions, pp. 1–48. American Mathematical Society, Providence, RI (2012)
Lawler, G.F.: Conformally Invariant Processes in the Plane, Mathematical Surveys and Monographs, vol. 114. American Mathematical Society, Providence, RI (2005)
Lawler, G.F.: Schramm-Loewner Evolution (SLE). In: Statistical mechanics, IAS/Park City Math. Ser., vol. 16, pp. 231–295. Amer. Math. Soc., Providence, RI (2009)
Lawler, G.F., Schramm, O., Werner, W.: Values of Brownian intersection exponents. I. Half-plane exponents. Acta Math. 187(2), 237–273 (2001). https://doi.org/10.1007/BF02392618
Lind, J., Marshall, D.E., Rohde, S.: Collisions and spirals of Loewner traces. Duke Math. J. 154(3), 527–573 (2010). https://doi.org/10.1215/00127094-2010-045
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 The Author(s)
About this chapter
Cite this chapter
Kemppainen, A. (2017). Loewner Equation. In: Schramm–Loewner Evolution. SpringerBriefs in Mathematical Physics, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-65329-7_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-65329-7_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-65327-3
Online ISBN: 978-3-319-65329-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)