Explicit multi-slit Loewner flows and their geometry
Eleftherios Theodosiadis
TL;DR
This paper investigates the geometric properties of solutions to radial and chordal Loewner PDEs driven by specific time-dependent measures with multiple point masses, enhancing understanding of their complex behavior.
Contribution
It introduces a detailed analysis of multi-slit Loewner flows with explicit solutions, advancing the geometric understanding of these PDEs.
Findings
Characterization of multi-slit Loewner flow geometries
Explicit solutions for specific driving measures
Insights into the structure of solutions with multiple slits
Abstract
In this text we make study of the geometry of the solutions to the radial and chordal Loewner PDEs, for a particular choice of time-dependent driving measures with multiple point masses.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stochastic processes and statistical mechanics