21 citations · 43 across the 7 of their papers we have counts for
17 papers
Persistence and entropic repulsion of stationary Gaussian fields with spectral singularity at the origin
Naomi Feldheim, Ohad Feldheim, Stephen Muirhead
We compute the exact log-asymptotics of the persistence probability, and determine the entropic repulsion profile conditioned on persistence, for general -dimensional stationary…
Hyperuniformity and non-hyperuniformity of zeros of Gaussian Weyl-Heisenberg Functions
Naomi Feldheim, Antti Haimi, Günther Koliander +1
We study zero sets of twisted stationary Gaussian random functions on the complex plane, i.e., Gaussian random functions that are stochastically invariant under the action of the W…
A sharp transition in zero overcrowding and undercrowding probabilities for Stationary Gaussian Processes
Naomi Feldheim, Ohad Feldheim, Lakshmi Priya
We study the probability that a real stationary Gaussian process has at least zeros in (overcrowding), or at most this number (undercrowding). We show that if the spec…
Typical height of the (2+1)-D Solid-on-Solid surface with pinning above a wall in the delocalized phase
Naomi Feldheim, Shangjie Yang
We study the typical height of the (2+1)-dimensional solid-on-solid surface with pinning interacting with an impenetrable wall in the delocalization phase. More precisely, let $Λ_N…
Efficient computation of the zeros of the Bargmann transform under additive white noise
Luis Alberto Escudero, Naomi Feldheim, Günther Koliander +1
We study the computation of the zero set of the Bargmann transform of a signal contaminated with complex white noise, or, equivalently, the computation of the zeros of its short-ti…
An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process
Eran Assaf, Jeremiah Buckley, Naomi Feldheim
We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under mild mixing conditions. This allows…
Convergence of the Quantile Admission Process with Veto Power
Naomi Feldheim, Ohad Noy Feldheim
The quantile admission process with veto power is a stochastic processes suggested by Alon, Feldman, Mansour, Oren and Tennenholtz as a model for the evolution of an exclusive soci…
On the probability that a stationary Gaussian process with spectral gap remains non-negative on a long interval
Naomi Feldheim, Ohad Feldheim, Benjamin Jaye +2
Let be a zero-mean continuous stationary Gaussian process on whose spectral measure vanishes in a -neighborhood of the origin. Then the probability that st…
Exponential concentration for zeroes of stationary Gaussian processes
Riddhipratim Basu, Amir Dembo, Naomi Feldheim +1
We show that for any centered stationary Gaussian process of integrable covariance, whose spectral measure has compact support, or finite exponential moments (and some additional r…
Persistence of Gaussian stationary processes: a spectral perspective
Naomi Feldheim, Ohad Feldheim, Shahaf Nitzan
We study the persistence probability of a centered stationary Gaussian process on or , that is, its probability to remain positive for a long time. We desc…
Mean and Minimum of Independent Random Variables
Naomi Dvora Feldheim, Ohad Noy Feldheim
We show that any pair of independent, non-compactly supported random variables on satisfies . We…
The winding of stationary Gaussian processes
Jeremiah Buckley, Naomi Feldheim
This paper studies the winding of a continuously differentiable Gaussian stationary process in the interval . We give formulae for the mean and t…
The two-dimensional small ball inequality and binary nets
Dmitriy Bilyk, Naomi Feldheim
In the current paper we present a new proof of the small ball inequality in two dimensions. More importantly, this new argument, based on an approach inspired by lacunary Fourier s…
A note on the convex infimum convolution inequality
Naomi Feldheim, Arnaud Marsiglietti, Piotr Nayar +1
We characterize the symmetric measures which satisfy the one dimensional convex infimum convolution inequality of Maurey. For these measures the tensorization argument yields the t…
Variance of the Number of Zeroes of Shift-Invariant Gaussian Analytic Functions
Naomi Feldheim
Following Wiener, we consider the zeroes of Gaussian analytic functions in a strip in the complex plane, with translation-invariant distribution. We show that the variance of the n…
Long gaps between sign-changes of Gaussian Stationary Processes
Naomi D. Feldheim, Ohad N. Feldheim
We study the probability of a real-valued stationary process to be positive on a large interval . We show that if in some neighborhood of the origin the spectral measure of…
Zeroes of Gaussian Analytic Functions with Translation-Invariant Distribution
Naomi Feldheim
We study zeroes of Gaussian analytic functions in a strip in the complex plane, with translation-invariant distribution. We prove that the a limiting horizontal mean counting-measu…