3 papers
math.CV2026
On the geometry of locally growing Loewner chains
Eveliina Peltola, Anne Schreuder
Loewner chains are ubiquitous in the theory of slit mappings, and hence in the study of bounded conformal maps. They have attracted new interest in the past decades through their a…
math.PR2026
Multiradial Schramm-Loewner evolution: Infinite-time large deviations and transience
Osama Abuzaid, Vivian Olsiewski Healey, Eveliina Peltola
In previous work [AHP24], we proved a finite-time large deviation principle in the Hausdorff metric for multiradial Schramm-Loewner evolution, SLE, as , with good rate…
math.PR2025
Large deviations of SLE(0+) variants in the capacity parameterization
Osama Abuzaid, Eveliina Peltola
We prove large deviation principles (LDPs) for full chordal, radial, and multichordal SLE(0+) curves parameterized by capacity. The rate function is given by the appropriate varian…