WebLarge deviations of Schramm-Loewner evolutions and Weil-Petersson Teichmuller space Yilin Wang. The Loewner energy is a Mobius invariant deterministic quantity attached to a Jordan curve in the plane. It arises as the large deviation rate function for the Schramm-Loewner evolution (SLE) when the parameter goes to zero. WebMar 11, 2003 · Various features of the two-parameter family of Schramm-Loewner evolutions SLE(κ,ρ) are studied. In particular, we derive certain restriction properties that lead to a ``strong duality'' conjecture, which is an identity in law between the outer boundary of a variant of the SLE(κ) process for κ\\ge 4 and a variant of the SLE(16/κ) process.
INTRODUCTION TO SCHRAMM-LOEWNER EVOLUTION
WebNov 21, 2012 · The statistics of zero-temperature Ising spin glass domain walls in two dimensions are used to test the hypothesis that these domain walls are described by a Schramm-Loewner evolution SLEκ. WebOn démontre dans cette note une version de la dualité conjecturée pour les évolutions de Schramm-Loewner, en établissant des identités en distribution exactes entre certains … flux vs pytorch speed
SLE(κ, ρ) Martingales and Duality - JSTOR
WebIn this paper we consider the ansatz for multiple Schramm–Loewner evolutions (SLEs) proposed by Bauer, Bernard and Kytölä from a more probabilistic point of view. Here we show their ansatz is a consequence of conformal invariance, reparametrization invariance and a notion of absolute continuity. In so doing we demonstrate that it is only consistent … WebI have been studying several questions related to the Schramm-Loewner evolutions (SLE). Those questions include proofs of conformal invariance in two-dimensional lattice models of statistical physics and related mathematical tools. ... Reversibility and Duality. (2006) Journal of Physics A: Mathematical and General, Vol. 39 No. 46 L657-L666 ... Webprobabilistic process known to converge to a Schramm-Loewner Evolution. We will nd that this model satis es a domain-Markov property essential to characterizing SLE, which we will revisit in that context in section 5. The goal of this section is to ground the theory of Schramm-Loewner Evolutions in an understanding of a greenhill investment bank salary