Y. Yomdin

activity

20032026

most citedAlgebraic Fourier reconstruction of piecewise smooth functions

56 citations · 172 across the 39 of their papers we have counts for

collaborators

50 papers

math.CA2026

Product-profile anti-concentration for block-structured multi-affine polynomials

Evgeny Abakumov, Omer Friedland, Yosef Yomdin

We establish product-profile anti-concentration, density, and Remez estimates for multi-affine polynomials on the cube. Let $X$ be uniformly distributed on $[0, 1]^{n}$ , and let $P:[0…

math.CA2024

Lower bounds for high derivatives of smooth functions with given zeros

Gil Goldman, Yosef Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∣ f (z) ∣ = 1$ . A well-known fact is that if $f$ …

math.CA2023

Higher derivatives of functions with zeros on algebraic curves

Gil Goldman, Yosef Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∥ f (z) ∥ = 1$ . A well-known fact is that if…

math.CA2023

higher derivatives of functions with given critical points and values

Gil Goldman, Yosef Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∥ f (z) ∥ = 1$ . A well-known fact is that if $…

math.CA2021

Higher derivatives of functions vanishing on a given set

Y. Yomdin

Let $f : B^{n} \to R$ be a $d + 1$ times continuously differentiable function on the unit ball $B^{n}$ , with $max_{z \in B^{n}} ∥ f (z) ∥ = 1$ . A well-known fact is t…

math.CA2021

Smooth rigidity and Remez inequalities via Topology of level sets

Yosef Yomdin

A smooth rigidity inequalitiy provides an explicit lower bound for the $(d + 1)$ -st derivatives of a smooth function $f$ , which holds, if $f$ exhibits certain patterns, forbidden for…