17 citations · 21 across the 6 of their papers we have counts for
6 papers
Distinguishing number of Urysohn metric spaces
Anthony Bonato, Claude Laflamme, Micheal Pawliuk +1
The distinguishing number of a structure is the smallest size of a partition of its elements so that only the trivial automorphism of the structure preserves each cell of the parti…
The Hrushovski property for hypertournaments and profinite topologies
Jingyin Huang, Michael Pawliuk, Marcin Sabok +1
We study the problem of extending partial isomorphisms for hypertournaments, which are relational structures generalizing tournaments. This is a generalized version of an old quest…
Almost -trivial monoids are almost never Ramsey
Ivan Khatchatourian, Micheal Pawliuk
Recent results have generalized Gowers' Theorem (to Lupini's Theorem) and the Furstenberg-Katznelson theorem, both infinite dimensional Ramsey Theorems. The framework of arXiv:1611…
Amenability and unique ergodicity of automorphism groups of countable homogeneous directed graphs
Micheal Pawliuk, Miodrag Sokic
We study the automorphism groups of countable homogeneous directed graphs (and some additional homogeneous structures) from the point of view of topological dynamics. We determine…
Using Ramsey theory to measure unavoidable spurious correlations in Big Data
Micheal Pawliuk, Michael Alexander Waddell
Given a dataset we quantify how many patterns must always exist in the dataset. Formally this is done through the lens of Ramsey theory of graphs, and a quantitative bound known as…
Ramsey expansions of metrically homogeneous graphs
Andrés Aranda, David Bradley-Williams, Jan Hubička +4
We investigate Ramsey expansions, the coherent extension property for partial isometries (EPPA), and the existence of a stationary independence relation for all classes of metrical…