3 papers
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 ra…
math.PR2025
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…
math.PR2025
Scaling limits of branching Loewner evolutions and the Dyson superprocess
Vivian Olsiewski Healey, Govind Menon
This work introduces a construction of conformal processes that combines the theory of branching processes with chordal Loewner evolution. The main novelty lies in the choice of dr…