51 citations · 199 across the 25 of their papers we have counts for
24 papers · 1 filter
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…
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…
Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees
Günter Last, Giovanni Peccati, D. Yogeshwaran
Proofs of sharp phase transition and noise sensitivity in percolation have been significantly simplified by the use of randomized algorithms, via the OSSS inequality (proved by O'D…