R. Adler

activity

20052025

most citedPersistent Homology for Random Fields and Complexes

91 citations · 603 across the 31 of their papers we have counts for

collaborators

Showing 2011 · math.PRShow all

2 papers · 2 filters

math.PR2011★ 13 cited

Rotation and scale space random fields and the Gaussian kinematic formula

Robert J. Adler, Eliran Subag, Jonathan E. Taylor

We provide a new approach, along with extensions, to results in two important papers of Worsley, Siegmund and coworkers closely tied to the statistical analysis of fMRI (functional…

math.PR2011

Distance Functions, Critical Points, and the Topology of Random Čech Complexes

Omer Bobrowski, Robert J. Adler

For a finite set of points $P$ in $R^{d}$ , the function $d_{P} : R^{d} \to R^{+}$ measures Euclidean distance to the set $P$ . We study the number of critical points of $d_{P}$ when $P$ is a P…