4 papers
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…
Precompactness of sequences of random variables and random curves revisited
Osama Abuzaid
This paper studies when a sequence of probability measures on a metric space admit subsequential weak limits. A sufficient condition called sequential tightness is formulated, whic…
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…