P. Ivanisvili

activity

20122026

most citedRademacher type and Enflo type coincide

16 citations · 65 across the 61 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021★ 1 cited

Additive energies on discrete cubes

Jaume de Dios Pont, Rachel Greenfeld, Paata Ivanisvili +1

We prove that for $d \geq 0$ and $k \geq 2$ , for any subset $A$ of a discrete cube ${0, 1}^{d}$ , the $k -$ higher energy of $A$ (the number of $2 k -$ tuples $(a_{1}, a_{2}, \dots, a_{2 k})$ in $A…

cs.LG2021

Learning low-degree functions from a logarithmic number of random queries

Alexandros Eskenazis, Paata Ivanisvili

We prove that every bounded function $f : {- 1, 1}^{n} \to [- 1, 1]$ of degree at most $d$ can be learned with $L_{2}$ -accuracy $ε$ and confidence $1 - δ$ from $\log(\tfrac{n}δ)\,\va…

math.FA2021

Banach space valued Pisier and Riesz type inequalities on discrete cube

Paata Ivanisvili, Alexander Volberg

This is an attempt to build Banach space valued theory for certain singular integrals on Hamming cube. Of course all estimates below are dimension independent, and we tried to find…

math.CA2021

Hypercontractivity of the semigroup of the fractional laplacian on the n-sphere

Rupert L. Frank, Paata Ivanisvili

For $1 < p \leq q$ we show that the Poisson semigroup $e^{- t - Δ}$ on the $n$ -sphere is hypercontractive from $L^{p}$ to $L^{q}$ in dimensions $n \leq 3$ if and only if $e^{-t\sq…