91 citations · 603 across the 31 of their papers we have counts for
34 papers
Critical radii and suprema of random waves over Riemannian manifolds
Renjie Feng, Dong Yao, Robert J. Adler
We study random waves on smooth, compact, Riemannian manifolds under the spherical ensemble. Our first main result shows that there is a positive universal limit for the critical r…
Central Limit Theorems for Local Functionals of Dynamic Point Processes
Efe Onaran, Omer Bobrowski, Robert J. Adler
We establish finite-dimensional central limit theorems for local, additive, interaction functions of temporally evolving point processes. The dynamics are those of a spatial Poisso…
Functional Central Limit Theorems for Local Statistics of Spatial Birth-Death Processes in the Thermodynamic Regime
Efe Onaran, Omer Bobrowski, Robert J. Adler
We present normal approximation results at the process level for local functionals defined on dynamic Poisson processes in . The dynamics we study here are those of a…
On the Spectrum of Dense Random Geometric Graphs
Kartick Adhikari, Robert J. Adler, Omer Bobrowski +1
In this paper we study the spectrum of the random geometric graph , in a regime where the graph is dense and highly connected. In the \erdren random graph it is we…
Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background
Pratyush Pranav, Robert J. Adler, Thomas Buchert +5
We study the topology generated by the temperature fluctuations of the Cosmic Microwave Background (CMB) radiation, as quantified by the number of components and holes, formally gi…
Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
Pratyush Pranav, Rien van de Weygaert, Gert Vegter +6
This study presents a numerical analysis of the topology of a set of cosmologically interesting three-dimensional Gaussian random fields in terms of their Betti numbers , $β_1…