Author

Ilias Zadik

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Preprint Sep 2026

A dimension-free bound for isoperimetry of unconditional log-concave measures

We prove a dimension-free Poincar\'e inequality for isotropic unconditional log-concave probability measures, establishing the Kannan-Lov\'asz-Simonovits (KLS) conjecture in the unconditional setting. The proof combines a new application of Dunkl operator theory combined with an appropriate transformation of the log-co...

Dan Mikulincer, Ilias Zadik · 1 citation

Preprint Aug 2026

A Bayesian Proof of the Bernoulli Theorem

We give a new proof of the Bernoulli theorem, conjectured by Talagrand and proved in the seminal work of Bednorz and Lata{\l}a. Our approach is based on information-theoretic ideas: lower bounds on the supremum of a Bernoulli process are translated to the fundamental limits of Bayesian estimation in a Cauchy additive c...

Jingbo Liu, Ilias Zadik · 1 citation