Atish Mitra

activity

20052025

most citedThe Space of Persistence Diagrams on

n

Points Coarsely Embeds into Hilbert Space

8 citations · 20 across the 7 of their papers we have counts for

collaborators

8 papers

math.AT2025

Higher homotopy wild sets

Jeremy Brazas, Atish Mitra

The $π_{n}$ -wild set $w_{n} (X)$ of a topological space $X$ is the subspace of $X$ consisting of the points at which there exists a shrinking sequence of essential based maps…

math.MG2024

Geometric embeddings of spaces of persistence diagrams with explicit distortions

Atish Mitra, Ziga Virk

Let $n$ be a positive integer. We provide an explicit geometrically motivated $1$ -Lipschitz map from the space of persistence diagrams on $n$ points (equipped with the Bottleneck d…

cond-mat.soft2023★ 7 cited

Evolution of polygonal crack patterns in mud when subjected to repeated wetting-drying cycles

Ruhul A I Haque, Atish J. Mitra, Sujata Tarafdar +1

The present paper demonstrates how a natural crack mosaic resembling a random tessellation evolves with repeated 'wetting followed by drying' cycles. The natural system here is a c…

math.AT2020

On maps with continuous path lifting

Jeremy Brazas, Atish Mitra

We study a natural generalization of covering projections defined in terms of unique lifting properties. A map $p : E \to X$ has the "continuous path-covering property" if all paths i…

math.MG2019★ 8 cited

The Space of Persistence Diagrams on $n$ Points Coarsely Embeds into Hilbert Space

Atish Mitra, Žiga Virk

We prove that the space of persistence diagrams on $n$ points (with the bottleneck or a Wasserstein distance) coarsely embeds into Hilbert space by showing it is of asymptotic dime…

math.OA2018★ 5 cited

Groupoid Models of $C^{*}$ -algebras and Gelfand Duality

Kyle Austin, Atish Mitra

We construct a large class of morphisms, which we call partial morphisms, of groupoids that induce $*$ -morphisms of maximal and minimal groupoid $C^{*}$ -algebras. We show that the as…

math.MG2013

Large scale absolute extensors

Jerzy Dydak, Atish Mitra

This paper is devoted to dualization of dimension-theoretical results from the small scale to the large scale. So far there are two approaches for such dualization: one consisting…

math.GT2005

Cohomological dimension with respect to nonabelian groups