Zobrazeno 1 - 10
of 3 453
pro vyhledávání: '"Zeitouni, A."'
Autor:
Rostami, Mohamadreza, Zeitouni, Shaza, Kande, Rahul, Chen, Chen, Mahmoody, Pouya, Jeyavijayan, Rajendran, Sadeghi, Ahmad-Reza
Microarchitectural attacks represent a challenging and persistent threat to modern processors, exploiting inherent design vulnerabilities in processors to leak sensitive information or compromise systems. Of particular concern is the susceptibility o
Externí odkaz:
http://arxiv.org/abs/2410.22555
Autor:
Hofstetter, Michael, Zeitouni, Ofer
Let $(A_v)_{v\in \mathcal{T}}$ be the balanced Gaussian Branching Random Walk on a $d$-ary tree $\mathcal{T}$ and let $M^A$ be the multiplicative chaos with parameter $\gamma \in (0, \sqrt{2\log d})$ constructed from $A$. In this work we establish th
Externí odkaz:
http://arxiv.org/abs/2408.16649
Autor:
Rostami, Mohamadreza, Chilese, Marco, Zeitouni, Shaza, Kande, Rahul, Rajendran, Jeyavijayan, Sadeghi, Ahmad-Reza
Modern computing systems heavily rely on hardware as the root of trust. However, their increasing complexity has given rise to security-critical vulnerabilities that cross-layer at-tacks can exploit. Traditional hardware vulnerability detection metho
Externí odkaz:
http://arxiv.org/abs/2404.06856
We consider the discrete Ginzburg-Landau field with potential satisfying a uniform convexity condition, in the critical dimension $d=2$, and prove that its maximum over boxes of sidelength $N$, centered by an explicit $N$-dependent centering, is tigh
Externí odkaz:
http://arxiv.org/abs/2403.11500
Autor:
Kim, Yujin H., Zeitouni, Ofer
We study the shape of the outer envelope of a branching Brownian motion (BBM) in $\mathbb{R}^d$, $d\geq 2$. We focus on the extremal particles: those whose norm is within $O(1)$ of the maximal norm amongst the particles alive at time $t$. Our main re
Externí odkaz:
http://arxiv.org/abs/2401.12431
We determine to leading order the maximum of the characteristic polynomial for Wigner matrices and $\beta$-ensembles. In the special case of Gaussian-divisible Wigner matrices, our method provides universality of the maximum up to tightness. These ar
Externí odkaz:
http://arxiv.org/abs/2312.13335
We consider recursion equations of the form $u_{n+1}(x)=Q[u_n](x),~n\ge 1,~x\in R$, with a non-local operator $Q[u](x)= g( u\ast q)$, where $g$ is a polynomial, satisfying $g(0)=0$, $g(1)=1$, $g((0,1)) \subseteq (0,1)$, and $q$ is a (compactly suppor
Externí odkaz:
http://arxiv.org/abs/2312.03944
Federated Learning (FL) has become very popular since it enables clients to train a joint model collaboratively without sharing their private data. However, FL has been shown to be susceptible to backdoor and inference attacks. While in the former, t
Externí odkaz:
http://arxiv.org/abs/2308.00553
Autor:
Cosco, Clément, Zeitouni, Ofer
Let $W_N(\beta) = \mathrm{E}_0\left[e^{ \sum_{n=1}^N \beta \omega(n,S_n) - N\beta^2/2}\right]$ be the partition function of a two-dimensional directed polymer in a random environment, where $\omega(i,x), i\in \mathbb{N}, x\in \mathbb{Z}^2$ are i.i.d.
Externí odkaz:
http://arxiv.org/abs/2305.05758
We derive the leading order asymptotics of the logarithmic potential of a two dimensional Coulomb gas at arbitrary positive temperature. The proof is based on precise evaluation of exponential moments, and the theory of Gaussian multiplicative chaos.
Externí odkaz:
http://arxiv.org/abs/2303.09912