The energy of a deterministic Loewner chain: Reversibility and interpretation via SLE0+
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Date
2016-01-20
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Working Paper
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Abstract
We study some features of the energy of a deterministic chordal Loewner chain, which is defined as the Dirichlet energy of its driving function. In particular, using an interpretation of this energy as a large deviation rate function for SLEκ as κ tends to 0 and the known reversibility of the SLEκ curves for small κ, we show that the energy of a deterministic curve from one boundary point A of a simply connected domain D to another boundary point B, is equal to the energy of its time-reversal ie. of the same curve but viewed as going from B to A in D (© Cornell University 2020).
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published
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1601.05297
Publisher
Cornell University
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Subject
Loewner differential equation; Loewner energy; Reversibility; Quasiconformal mapping; Schramm-Loewner Evolution
Organisational unit
09453 - Werner, Wendelin (ehemalig) / Werner, Wendelin (former)
Notes
Funding
155922 - Exploring two-dimensional continuous structures (SNF)
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