67 citations · 339 across the 44 of their papers we have counts for
50 papers
Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
Martin Kassabov, J. M. Landsberg, Victor Souza +1
This paper addresses centroids, which are fundamental invariants of tensors. Our main results are as follows: (i) The construction of explicit tensors with very large centroids, wh…
Examples of finitely presented groups with strong fixed point properties and property (T)
Indira Chatterji, Martin Kassabov
We construct a finitely presented group with property (T) which can not act on on reasonable spaces. Such group is constructed using an generalization of Hall embedding theorem, wh…
Detecting null patterns in tensor data
Peter A. Brooksbank, Martin D. Kassabov, James B. Wilson
This article introduces a class of efficiently computable null patterns for tensor data. The class includes familiar patterns such as block-diagonal decompositions explored in stat…
Monotone parameters on Cayley graphs of finitely generated groups
Martin Kassabov, Igor Pak
We construct a new large family of finitely generated groups with continuum many values of the following monotone parameters: spectral radius, critical percolation, and asymptotic…
Property (T) and Many Quotients
Laurent Bartholdi, Martin Kassabov
We prove that, for the free algebra over a sufficiently rich operad, a large subgroup of its group of tame automorphisms has Kazhdan's property (T). We deduce that there exists a g…
Expander graphs are globally synchronizing
Pedro Abdalla, Afonso S. Bandeira, Martin Kassabov +3
The Kuramoto model is fundamental to the study of synchronization. It consists of a collection of oscillators with interactions given by a network, which we identify respectively w…