4 papers · 1 filter
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…
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…
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 (DBM) on the circle, for a fixed number of particles as…
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…