5 citations · 6 across the 7 of their papers we have counts for
9 papers
Estimating the number of real zeros of linear combinations of radicals of polynomials
Gal Binyamini, Avner Kiro, Alexander Logunov +2
We obtain upper bounds for the number of real zeros of functions of the form where and each $P_k…
Integer-valued polynomials satisfying growth constraints
Avner Kiro, Alon Nishry
We consider polynomials which take integer values on the integers (IVPs), and satisfy an additional growth condition on the natural numbers. Elkies and Speyer, answering a question…
Sharp Estimates for Blowing Down Functions in a Denjoy-Carleman Class
André Belotto da Silva, Edward Bierstone, Avner Kiro
If F is an infinitely differentiable function whose composition with a blowing-up belongs to a Denjoy-Carleman class C_M (determined by a log convex sequence M=(M_k)), then F, in g…
Fluctuations for Zeros of Gaussian Taylor Series
Avner Kiro, Alon Nishry
We study fluctuations in the number of zeros of random analytic functions given by a Taylor series whose coefficients are independent complex Gaussians. When the functions are enti…
Rigidity for zero sets of Gaussian entire functions
Avner Kiro, Alon Nishry
In this note we consider a certain class of Gaussian entire functions, characterized by some asymptotic properties of their covariance kernels, which we call admissible (as defined…
Power substitution in quasianalytic Carleman classes
Lev Buhovsky, Avner Kiro, Sasha Sodin
Consider an equation of the form , where and is a function in a given Carleman class of smooth functions. For each , we construct a Carleman-type class…
On Taylor coefficients of smooth functions
Avner Kiro
We study the Borel map, which maps infinitely differentiable functions on an interval to the jets of their Taylor coefficients at a given point in the interval. Our main results in…
On functions K and E generated by a sequence of moments
Avner Kiro, Mikhail Sodin
We study the asymptotic behaviour of the entire function \[ E(z) = \sum_{n\ge 0} \frac{z^n}{γ(n+1)} \] and the analytic function \[ K(z) = \frac1{2π{\rm i}}\, \int_{c-{\rm i}\infty…
The Distribution of Path Lengths On Directed Weighted Graphs
Avner Kiro, Yotam Smilansky, Uzy Smilansky
We consider directed weighted graphs and define various families of path counting functions. Our main results are explicit formulas for the main term of the asymptotic growth rate…