5 papers
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…
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 ra…
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…
Loewner traces driven by Levy processes
Eveliina Peltola, Anne Schreuder
Loewner chains with Levy drivers have been proposed as models for random dendritic growth in two dimensions, and as candidates for finding extremal multifractal spectra in problems…
Large deviations of Dyson Brownian motion on the circle and multiradial SLE(0+)
Osama Abuzaid, Vivian Olsiewski Healey, Eveliina Peltola
We show a finite-time large deviation principle (LDP) for "Dyson type" diffusion processes, including Dyson Brownian motion on the circle, for a fixed number of particles as the co…