23 citations · 40 across the 6 of their papers we have counts for
8 papers
An equivariant PPV theorem and Paschke-Higson duality
Moulay-Tahar Benameur, Indrava Roy
We prove an equivariant localized and norm-controlled version of the Pimsner-Popa-Voiculescu theorem. As an application, we deduce a proof of the Paschke-Higson duality for transfo…
Forman-Ricci curvature and Persistent homology of unweighted complex networks
Indrava Roy, Sudharsan Vijayaraghavan, Sarath Jyotsna Ramaia +1
We present the application of topological data analysis (TDA) to study unweighted complex networks via their persistent homology. By endowing appropriate weights that capture the i…
Shilnikov-type Dynamics in Three-Dimensional Piecewise Smooth Maps
Indrava Roy, Mahashweta Patra, Soumitro Banerjee
We show the existence of Shilnikov-type dynamics and bifurcation behaviour in general discrete three-dimensional piecewise smooth maps and give analytical results for the occurence…
Persistent homology of unweighted complex networks via discrete Morse theory
Harish Kannan, Emil Saucan, Indrava Roy +1
Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on discrete Morse theory…
The Higson-Roe sequence for étale groupoids II. The universal sequence for equivariant families
Moulay-Tahar Benameur, Indrava Roy
This is the second part of our series about the Higson-Roe sequence for étale groupoids. We devote this part to the proof of the universal -theory surgery exact sequence which e…
The Higson-Roe sequence for étale groupoids. I. Dual algebras and compatibility with the BC map
Moulay-Tahar Benameur, Indrava Roy
We introduce the dual Roe algebras for proper étale groupoid actions and deduce the expected Higson-Roe short exact sequence. When the action is cocompact, we show that the Roe $C^…