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The Aldous--Lyons Conjecture I: Subgroup Tests
Lewis Bowen, Michael Chapman, Alexander Lubotzky +1
This paper, and its companion [BCV24], are devoted to a negative resolution of the Aldous--Lyons Conjecture [AL07, Ald07]. This conjecture, originated in probability theory, is wel…
Non-commutative error correcting codes and proper subgroup testing
Michael Chapman, Irit Dinur, Alexander Lubotzky
Property testing has been a major area of research in computer science in the last three decades. By property testing we refer to an ensemble of problems, results and algorithms wh…
Stability of Homomorphisms, Coverings and Cocycles II: Examples, Applications and Open problems
Michael Chapman, Alexander Lubotzky
Coboundary expansion (with coefficients), and variations on it, have been the focus of intensive research in the last two decades. It was used to study random comple…
Stability of Homomorphisms, Coverings and Cocycles I: Equivalence
Michael Chapman, Alexander Lubotzky
This paper is motivated by recent developments in group stability, high dimensional expansion, local testability of error correcting codes and topological property testing. In Part…