O. Zeitouni

activity

20242026

collaborators

5 papers

math.PR2026

The law of (1+1)D SOS with an area tilt in a wedge

Amir Dembo, Eyal Lubetzky, Ofer Zeitouni

Motivated by the study of the level lines of the $(2 + 1)$ D Solid-On-Solid (SOS) model above a floor, near the corners of the box, we derive the limit law of an ensemble of $K$ curve…

math.PR2026

Decay of correlations for the massless hierarchical Liouville model in infinite volume

Michael Hofstetter, Ofer Zeitouni

Let $(A_{v})_{v \in T}$ be the balanced Gaussian Branching Random Walk on a $d$ -ary tree $T$ and let $M^{A}$ be the multiplicative chaos with parameter $Î³\in (0, \s…

math.PR2026

Large Deviations for Iterated Sums and Integrals

Yuri Kifer, Ofer Zeitouni

We describe large deviations for normalized multiple iterated sums and integrals of the form $\bbS_N^{(Î½)}(t)=N^{-Î½}\sum_{0\leq k_1<...<k_Î½\leq Nt}Î¾(k_1)\otimes\cdots\otimesÎ¾(…

math.PR2025

Exponential growth of random infinite Fibonacci sequences

Ilya Goldsheid, Ofer Zeitouni

We consider the recursion $X_{n + 1} = \sum_{i = 0}^{n} I^µ_{n, i} X_{n - i}$ , where $I^µ_{n, i}$ are i.i.d. (Bernoulli) random variables taking values in ${- 1, 1}$ , and $X_{0} = 1$ , $X_{- j} = 0$ for…

math.PR2024

The extremal landscape for the C $I^^{2}$ E ensemble

Elliot Paquette, Ofer Zeitouni

We consider the extremes of the logarithm of the characteristic polynomial of matrices from the C $I^^{2}$ E ensemble. We prove convergence in distribution of the centered maxima (of the…

The law of (1+1)D SOS with an area tilt in a wedge

Decay of correlations for the massless hierarchical Liouville model in infinite volume

Large Deviations for Iterated Sums and Integrals

Exponential growth of random infinite Fibonacci sequences

The extremal landscape for the CI^2E ensemble

The extremal landscape for the C $I^^{2}$ E ensemble