Mihail N. Kolountzakis

activity

19982023

most citedComplex Hadamard matrices and the Spectral Set Conjecture

151 citations · 264 across the 42 of their papers we have counts for

collaborators

52 papers

math.CA2023

Tiling, spectrality and aperiodicity of connected sets

Rachel Greenfeld, Mihail N. Kolountzakis

Let $Ω \subset R^{d}$ be a set of finite measure. The periodic tiling conjecture suggests that if $Ω$ tiles $R^{d}$ by translations then it admits at least one periodi…

math.CA2022★ 1 cited

Sets of full measure avoiding Cantor sets

Mihail N. Kolountzakis

In relation to the Erd\H os similarity problem (show that for any infinite set $A$ of real numbers there exists a set of positive Lebesgue measure which contains no affine copy of…

math.CA2022★ 5 cited

Spectral sets and weak tiling

Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi

A set $Ω \subset R^{d}$ is said to be spectral if the space $L^{2} (Ω)$ admits an orthogonal basis of exponential functions. Fuglede (1974) conjectured that $Ω$ is spectral if a…

math.CA2022

Simultaneous tiling

Mihail N. Kolountzakis

We discuss problems of simultaneous tiling. This means that we have an object (set, function) which tiles space with two or more different sets of translations. The most famous pro…

math.CA2022★ 2 cited

Large sets containing no copies of a given infinite sequence

Mihail N. Kolountzakis, Effie Papageorgiou

Suppose $a_{n}$ is a real, nonnegative sequence that does not increase exponentially. For any $p < 1$ we contruct a Lebesgue measurable set $E \subseteq R$ which has measure a…

math.CA2021

How many Fourier coefficients are needed?

Benedikt Diederichs, Mihail N. Kolountzakis, Effie Papageorgiou

We are looking at families of functions or measures on the torus which are specified by a finite number of parameters $N$ . The task, for a given family, is to look at a small numbe…