7 papers · 1 filter
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 D Solid-On-Solid (SOS) model above a floor, near the corners of the box, we derive the limit law of an ensemble of curve…
Decay of correlations for the massless hierarchical Liouville model in infinite volume
Michael Hofstetter, Ofer Zeitouni
Let be the balanced Gaussian Branching Random Walk on a -ary tree and let be the multiplicative chaos with parameter $γ\in (0, \s…
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^{(ν)}(t)=N^{-ν}\sum_{0\leq k_1<...<k_ν\leq Nt}ξ(k_1)\otimes\cdots\otimesξ(…
Exponential growth of random infinite Fibonacci sequences
Ilya Goldsheid, Ofer Zeitouni
We consider the recursion , where are i.i.d. (Bernoulli) random variables taking values in , and , for…
The extremal landscape for the CE ensemble
Elliot Paquette, Ofer Zeitouni
We consider the extremes of the logarithm of the characteristic polynomial of matrices from the CE ensemble. We prove convergence in distribution of the centered maxima (of the…
Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices
Paul Bourgade, Patrick Lopatto, Ofer Zeitouni
We determine to leading order the maximum of the characteristic polynomial for Wigner matrices and -ensembles. In the special case of Gaussian-divisible Wigner matrices, our me…