C. Shonkwiler

activity

20082026

most citedProbability Theory of Random Polygons from the Quaternionic Viewpoint

28 citations · 270 across the 43 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DS2018★ 26 cited

A fractal dimension for measures via persistent homology

Henry Adams, Manuchehr Aminian, Elin Farnell +6

We use persistent homology in order to define a family of fractal dimensions, denoted $dim_{PH}^{i} (μ)$ for each homological dimension $i \geq 0$ , assigned to a proba…

cond-mat.stat-mech2018★ 3 cited

Open and closed random walks with fixed edgelengths in $R^{d}$

Jason Cantarella, Kyle Chapman, Philipp Reiter +1

In this paper, we consider fixed edgelength $n$ -step random walks in $R^{d}$ . We give an explicit construction for the closest closed equilateral random walk to almost any o…

math.FA2018★ 13 cited

Symplectic Geometry and Connectivity of Spaces of Frames

Tom Needham, Clayton Shonkwiler

Frames provide redundant, stable representations of data which have important applications in signal processing. We introduce a connection between symplectic geometry and frame the…

A fractal dimension for measures via persistent homology

Open and closed random walks with fixed edgelengths in Rd

Symplectic Geometry and Connectivity of Spaces of Frames

Open and closed random walks with fixed edgelengths in $R^{d}$