Results 101 to 110 of about 14,970 (213)
Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics
, 2018 In this thesis, we consider several combinatorial topics, belonging to the areas appearing in the thesis title. Given a non-empty complete metric space $(X,d)$, a family of $n$ continuous maps $f_1,f_2,\dots,f_n\colon X\to X$ is a \emph{contractive family} if there exists $\lambda<1$ such that for any $x,y\in X$ we have $d(f_i(x),f_i(y))\leq\lambda ...
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Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity. [PDF]
Living Rev Relativ, 2023 Mertens TG, Turiaci GJ.
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Exploring implications of Trace (Inversion) formula and Artin algebras in extremal combinatorics [PDF]
, 2023 Luis Miguel Pardo
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Extremal combinatorics in generalized Kneser graphs
, 2003 This thesis focuses on the interplay of extremal combinatorics and finite geometry. Combinatorics is concerned with discrete (and usually finite) objects. Extremal combinatorics studies how large or how small a collection of finite objects can be under certain restrictions. Those objects can be sets, graphs, vectors, etc.
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Continuous optimisation in extremal combinatoricst
, 2017 In this thesis we explore instances in which tools from continuous optimisation can be used to solve problems in extremal graph and hypergraph theory. We begin by introducing a generalised notion of hypergraph Lagrangian and use tools from the theory of nonlinear optimisation to explore some of its properties.
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Advancing mathematics by guiding human intuition with AI. [PDF]
Nature, 2021 Davies A +13 more
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on certain problems in extremal and additive combinatorics [PDF]
, 2016 This thesis consists of five chapters. The first chapter serves as an introduction, presenting the four problems studied in this thesis, and the results obtained. Each subsequent chapter then treats a separate problem. The second chapter is about the existence of partial isomorphisms (i.e.
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What cannot be seen correctly in 2D visualizations of single-cell 'omics data? [PDF]
Cell Syst, 2023 Wang S, Sontag ED, Lauffenburger DA.
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