6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.LO2014
Statistical Properties of Martin-Löf Random Sequences
Matthew Pancia
We study the statistical properties of random numbers under the Martin-Löf definition of randomness, proving that random numbers obey analogues of Strong Law of Large Numbers, the…
cs.CG2012★ 6 cited
Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces
Andrew J. Blumberg, Itamar Gal, Michael A. Mandell +1
We study distributions of persistent homology barcodes associated to taking subsamples of a fixed size from metric measure spaces. We show that such distributions provide robust in…
math.DG2009
Isoperimetric inequalities for wave fronts and a generalization of Menzin's conjecture for bicycle monodromy on surfaces of constant curvature
Sean Howe, Matthew Pancia, Valentin Zakharevich
We prove generalizations of the isoperimetric inequality for both spherical and hyperbolic wave fronts (i.e. piecewise smooth curves which may have cusps). We then discuss "bicycle…