Functional strong laws of large numbers for Euler characteristic processes of extreme sample clouds
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DOI: 10.1007/s10687-021-00419-1
Abstract: This study demonstrates functional strong law large numbers for the Euler characteristic process of random geometric complexes formed by random points outside of an expanding ball in $\mathbb{R}^d$, in two distinct extreme value theoretic scenarios.… read more here.
Keywords: large numbers; functional strong; numbers euler; process ... See more keywords
Modeling Geometric State for Fluids in Porous Media: Evolution of the Euler Characteristic
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DOI: 10.1007/s11242-020-01420-1
Abstract: Multiphase flow in porous media is strongly influenced by the pore-scale arrangement of fluids. Reservoir-scale constitutive relationships capture these effects in a phenomenological way, relying only on fluid saturation to characterize the macroscopic behavior. Working… read more here.
Keywords: state; euler characteristic; geometric state; evolution euler ... See more keywords
The Thom–Sebastiani theorem for the Euler characteristic of cyclic L∞-algebras
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DOI: 10.1016/j.jalgebra.2017.11.032
Abstract: Abstract Let L be a cyclic L ∞ -algebra of dimension 3 with finite dimensional cohomology only in dimension one and two. By transfer theorem there exists a cyclic L ∞ -algebra structure on the… read more here.
Keywords: euler; euler characteristic; cyclic algebras; characteristic cyclic ... See more keywords
A new spectral invariant for quantum graphs
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DOI: 10.1038/s41598-021-94331-0
Abstract: The Euler characteristic i.e., the difference between the number of vertices |V| and edges |E| is the most important topological characteristic of a graph. However, to describe spectral properties of differential equations with mixed Dirichlet… read more here.
Keywords: usepackage; euler characteristic; document; documentclass 12pt ... See more keywords
On the Mean Euler Characteristic of Gorenstein Toric Contact Manifolds
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DOI: 10.1093/imrn/rny151
Abstract: We prove that the mean Euler characteristic of a Gorenstein toric contact manifold, that is, a good toric contact manifold with zero 1st Chern class, is equal to half the normalized volume of the corresponding… read more here.
Keywords: mean euler; characteristic gorenstein; toric contact; euler characteristic ... See more keywords
The Euler characteristic as a basis for teaching topology concepts to crystallographers
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Crystallography"
DOI: 10.1107/s160057672101205x
Abstract: The concept of the Euler characteristic as a property of space-filling polyhedra in crystallography is discussed in a didactic way; a number of other aspects, all of fundamental importance in mathematics, are covered. A game… read more here.
Keywords: topology; topology concepts; characteristic basis; teaching topology ... See more keywords
A test of Gaussianity based on the Euler characteristic of excursion sets
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DOI: 10.1214/17-ejs1248
Abstract: In the present paper, we deal with a stationary isotropic random field X : R d → R and we assume it is partially observed through some level functionals. We aim at providing a methodology… read more here.
Keywords: methodology; characteristic excursion; level functionals; euler characteristic ... See more keywords
On approximation theorems for the Euler characteristic with applications to the bootstrap
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DOI: 10.1214/21-ejs1898
Abstract: We study approximation theorems for the Euler characteristic of the Vietoris-Rips and \v Cech filtration. The filtration is obtained from a Poisson or binomial sampling scheme in the critical regime. We apply our results to… read more here.
Keywords: characteristic applications; approximation theorems; applications bootstrap; theorems euler ... See more keywords