Minkowski content and natural parameterization for the Schramm–Loewner evolution

GF Lawler, MA Rezaei - 2015 - projecteuclid.org
Minkowski content and natural parameterization for the Schramm-Loewner evolution Page 1
The Annals of Probability 2015, Vol. 43, No. 3, 1082–1120 DOI: 10.1214/13-AOP874 © Institute …

Large deviations of multichordal , real rational functions, and zeta-regularized determinants of Laplacians

E Peltola, Y Wang - Journal of the European Mathematical Society, 2023 - ems.press
We prove a strong large deviation principle (LDP) for multiple chordal SLE0C curves with
respect to the Hausdorff metric. In the single-chord case, this result strengthens an earlier …

On the uniqueness of global multiple SLEs

V Beffara, E Peltola, H Wu - 2021 - projecteuclid.org
This article focuses on the characterization of global multiple Schramm–Loewner evolutions
(SLE). The chordal SLE describes the scaling limit of a single interface in various critical …

Toward a conformal field theory for Schramm-Loewner evolutions

E Peltola - Journal of Mathematical Physics, 2019 - pubs.aip.org
We discuss the partition function point of view for chordal Schramm-Loewner evolutions and
their relationship with correlation functions in conformal field theory. Both are closely related …

Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line

GF Lawler - Journal of the Mathematical Society of Japan, 2015 - jstage.jst.go.jp
The Schramm-Loewner evolution (SLE) is a probability measure on random fractal curves
that arise as scaling limits of two-dimensional statistical physics systems. In this paper we …

Multi-point Green's functions for SLE and an estimate of Beffara

GF Lawler, BM Werness - 2013 - projecteuclid.org
In this paper we define and prove of the existence of the multi-point Green's function for SLE—
a normalized limit of the probability that an SLE_κ curve passes near to a pair of marked …

Conformal dimension of the Brownian graph

I Binder, H Hakobyan, WB Li - arxiv preprint arxiv:2309.02350, 2023 - arxiv.org
Conformal dimension of a metric space $ X $, denoted by $\dim_C X $, is the infimum of the
Hausdorff dimension among all its quasisymmetric images. If conformal dimension of $ X …

Alternating arm exponents for the critical planar Ising model

H Wu - The Annals of Probability, 2018 - JSTOR
Alternating arm exponents for the critical planar Ising model Page 1 The Annals of Probability
2018, Vol. 46, No. 5, 2863–2907 https://doi.org/10.1214/17-AOP1241 © Institute of …

[PDF][PDF] Continuity of radial and two-sided radial at the terminal point

GF Lawler - arxiv preprint arxiv:1104.1620, 2011 - arxiv.org
arxiv:1104.1620v1 [math.PR] 8 Apr 2011 Page 1 arxiv:1104.1620v1 [math.PR] 8 Apr 2011
CONTINUITY OF RADIAL AND TWO-SIDED RADIAL SLEκ AT THE TERMINAL POINT …

Polychromatic arm exponents for the critical planar FK-Ising model

H Wu - Journal of Statistical Physics, 2018 - Springer
Schramm–Loewner evolution (SLE) is a one-parameter family of random planar curves
introduced by Schramm in 1999 as the candidates for the scaling limits of the interfaces in …