91 citations · 603 across the 31 of their papers we have counts for
3 papers · 1 filter
On the topology of random complexes built over stationary point processes
D. Yogeshwaran, Robert J. Adler
There has been considerable recent interest, primarily motivated by problems in applied algebraic topology, in the homology of random simplicial complexes. We consider the scenario…
On the existence of paths between points in high level excursion sets of Gaussian random fields
Robert J. Adler, Elina Moldavskaya, Gennady Samorodnitsky
The structure of Gaussian random fields over high levels is a well researched and well understood area, particularly if the field is smooth. However, the question as to whether or…
Multiple testing of local maxima for detection of peaks in 1D
Armin Schwartzman, Yulia Gavrilov, Robert J. Adler
A topological multiple testing scheme for one-dimensional domains is proposed where, rather than testing every spatial or temporal location for the presence of a signal, tests are…