6 citations · 18 across the 12 of their papers we have counts for
20 papers
A Hales--Jewett type property of finite solvable groups
Vassilis Kanellopoulos, Miltiadis Karamanlis
A conjecture of Leader, Russell and Walters in Euclidean Ramsey theory says that a finite set is Ramsey if and only if it is congruent to a subset of a set whose symmetry group act…
Uniformity norms, their weaker versions, and applications
Pandelis Dodos, Vassilis Kanellopoulos
We show that, under some mild hypotheses, the Gowers uniformity norms (both in the additive and in the hypergraph setting) are essentially equivalent to certain weaker norms which…
regular sparse hypergraphs: box norms
Pandelis Dodos, Vassilis Kanellopoulos, Thodoris Karageorgos
We consider some variants of the Gowers box norms, introduced by Hatami, and show their relevance in the context of sparse hypergraphs. Our main results are the following. Firstly,…
regular sparse hypergraphs
Pandelis Dodos, Vassilis Kanellopoulos, Thodoris Karageorgos
We study sparse hypergraphs which satisfy a mild pseudorandomness condition known as regularity. We prove appropriate regularity and counting lemmas, and we extend the relati…
Szemerédi's regularity lemma via martingales
Pandelis Dodos, Vassilis Kanellopoulos, Thodoris Karageorgos
We prove a variant of the abstract probabilistic version of Szemerédi's regularity lemma, due to Tao, which applies to a number of structures (including graphs, hypergraphs, hyperc…
A concentration inequality for product spaces
Pandelis Dodos, Vassilis Kanellopoulos, Konstantinos Tyros
We prove a concentration inequality which asserts that, under some mild regularity conditions, every random variable defined on the product of sufficiently many probability spaces…