1 citations · 2 across the 4 of their papers we have counts for
6 papers
On the Classification of Algebras
Alex S. E. Levin
We classify (possibly non commutative) algebras of low rank over a domain R. We first review results for algebras of rank 2 and for finite-dimensional division algebras over the re…
Efficient moment-based inference of admixture parameters and sources of gene flow
Mark Lipson, Po-Ru Loh, Alex Levin +3
The recent explosion in available genetic data has led to significant advances in understanding the demographic histories of and relationships among human populations. It is still…
Faster spectral sparsification and numerical algorithms for SDD matrices
Ioannis Koutis, Alex Levin, Richard Peng
We study algorithms for spectral graph sparsification. The input is a graph with vertices and edges, and the output is a sparse graph that approximates …
Dynamics of the -adic Shift and Applications
James Kingsbery, Alex Levin, Anatoly Preygel +1
We present a novel way of realizing the Bernoulli shift on symbols on the -adic integers, where is a prime. By showing that suitably small perturbations of the shift are…
On measure-preserving transformations of compact-open subsets of non-archimedean local fields
James Kingsbery, Alex Levin, Anatoly Preygel +1
We introduce the notion of a \emph{locally scaling} transformation defined on a compact-open subset of a non-archimedean local field. We show that this class encompasses the Haar m…
Measurable Dynamics of Maps on Profinite Groups
James Kingsbery, Alex Levin, Anatoly Preygel +1
We study the measurable dynamics of transformations on profinite groups, in particular of those which factor through sufficiently many of the projection maps; these maps generalize…