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math.PR2023
Partial divisibility of random sets and powers of completely monotone functions
Jnaneshwar Baslingker, Biltu Dan
In this article, we study exponents which preserve complete monotonicity of functions on lattices. We prove that for any completely monotone function on a finite lattice, …
math.PR2023
Stochastic domination in beta ensembles
Jnaneshwar Baslingker
We give a stochastic comparison and ordering of the largest eigenvalues, with parameter , for Hermite -ensembles and Laguerre -ensembles. Although stochastic comparison re…
math.PR2023
Scaling limits and universality: Critical percolation on weighted graphs converging to an graphon
Jnaneshwar Baslingker, Shankar Bhamidi, Nicolas Broutin +2
We develop a general universality technique for establishing metric scaling limits of critical random discrete structures exhibiting mean-field behavior that requires four ingredie…