# Browse Dissertations and Theses - Mathematics by Contributor "Hirani, Anil"

• (2017-04-07)
In the first part of this thesis, we will discuss the classical XY model on complete graph in the mean-field (infinite-vertex) limit. Using theory of large deviations and Stein's method, in particular, Cramér and Sanov-type ...

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• (2018-04-10)
We consider generalizations of no $k$-equal spaces as well as their relations to other concepts. For any topological space $X$, the $n^{th}$ no $k$-equal space of $X$ is the space of $n$ points from $X$ such that no $k$ ...

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• (2015-01-21)
The spaces of coverings (SoC) arise from various configuration spaces of the covering problems. We study the topology of these spaces for different domains and covering agents. In particular, we study the SoCs for grid ...

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• (2017-04-21)
This thesis is comprised of two projects in applied computational mathematics. In Chapter 1, we discuss the geometry and combinatorics of geometrically characterized sets. These are finite sets of n+d choose n points in ...

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• (2015-12-02)
Configuration Space on trees comes naturally from problems in engineering and has its own importance in mathematics. This paper reviewed the existing research results on the topological properties of classic configuration ...

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