Boundary Arm Exponents for SLE$(\kappa)$
Hao Wu, Dapeng Zhan
TL;DR
This paper derives boundary arm exponents for Schramm-Loewner Evolution (SLE) and discusses their implications for understanding critical lattice models through convergence to SLE.
Contribution
It introduces new boundary arm exponents for SLE and connects these to lattice models' behavior via convergence results.
Findings
Derived boundary arm exponents for SLE.
Connected SLE exponents to lattice model behavior.
Provided a framework for analyzing critical phenomena.
Abstract
We derive boundary arm exponents for SLE. Combining with the convergence of critical lattice models to SLE, these exponents would give the alternating half-plane arm exponents for the corresponding lattice models.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Geometry and complex manifolds