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most citedLarge deviations of Dyson Brownian motion on the circle and multiradial SLE(0+)

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math.PR2025

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 admits subsequential weak limits. A sufficient condition called approximate tightness is formulated, wh…

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…