51 citations · 199 across the 25 of their papers we have counts for
26 papers
Limit theorems for critical faces above the vanishing threshold
Zifu Wei, Takashi Owada, D. Yogeshwaran
We investigate convergence of point processes associated with critical faces for a Čech filtration built over a homogeneous Poisson point process in the -dimensional flat torus.…
Random clique complex process inside the critical window
Agniva Roy, D Yogeshwaran
We consider the random clique complex process - the process of clique complexes induced by the complete graph with i.i.d. Uniform edge weights. We investigate the evolution of the…
Central Limit Theorem for Euclidean Minimal Spanning Acycles
Primoz Skraba, D. Yogeshwaran
We investigate asymptotics for the minimal spanning acycles of the (Alpha)-Delaunay complex on a stationary Poisson process on . Minimal spanning acycles ar…
Volume Approximation of Strongly -Convex Domains by Random Polyhedra
Siva Athreya, Purvi Gupta, D. Yogeshwaran
Polyhedral-type approximations of convex-like domains in have been considered recently by the second author. In particular, the decay rate of the error in optimal vo…
An Analysis of Probabilistic Forwarding of Coded Packets on Random Geometric Graphs
B. R. Vinay Kumar, Navin Kashyap, D. Yogeshwaran
We consider the problem of energy-efficient broadcasting on dense ad-hoc networks. Ad-hoc networks are generally modeled using random geometric graphs (RGGs). Here, nodes are deplo…
Poisson process approximation under stabilization and Palm coupling
Omer Bobrowski, Matthias Schulte, D. Yogeshwaran
We present new Poisson process approximation results for stabilizing functionals of Poisson and binomial point processes. These functionals are allowed to have an unbounded range o…