Výsledky vyhledávání - "Moore, Samantha A."

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Bigraded Betti numbers and Generalized Persistence Diagrams

Commutative diagrams of vector spaces and linear maps over $\mathbb{Z}^2$ are objects of interest in topological data analysis (TDA) where this type of diagrams are called 2-parameter persistence modules. Given that quiver representation theory tells

Externí odkaz: http://arxiv.org/abs/2111.02551

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Akademický článek

Structural violence and necropolitics among Indigenous Peoples living with HIV who use substances in the Prairie provinces during COVID-19

Autor: Moore, Samantha, Christianson, Tara, Souleymanov, Rusty

Publikováno v: In International Journal of Drug Policy July 2024 129

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Core motifs predict dynamic attractors in combinatorial threshold-linear networks

Autor: Parmelee, Caitlyn, Moore, Samantha, Morrison, Katherine, Curto, Carina

Publikováno v: Published in PLoS ONE 17(3): e0264456, 2022

Combinatorial threshold-linear networks (CTLNs) are a special class of inhibition-dominated TLNs defined from directed graphs. Like more general TLNs, they display a wide variety of nonlinear dynamics including multistability, limit cycles, quasiperi

Externí odkaz: http://arxiv.org/abs/2109.03198

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Hyperplane Restrictions of Indecomposable $n$-Dimensional Persistence Modules

Autor: Moore, Samantha

Understanding the structure of indecomposable $n$-dimensional persistence modules is a difficult problem, yet is foundational for studying multipersistence. To this end, Buchet and Escolar showed that any finitely presented rectangular $(n-1)$-dimens

Externí odkaz: http://arxiv.org/abs/2011.00339

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A Combinatorial Formula for the Bigraded Betti Numbers

Autor: Moore, Samantha

It has been shown that $1$-parameter persistence modules have a very simple classification, namely there is a discrete invariant called a barcode that completely characterizes $1$-parameter persistence modules up to isomorphism. In contrast, Carlsson

Externí odkaz: http://arxiv.org/abs/2004.02239

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On the Zeroes of Half-Integral Weight Eisenstein Series on $\Gamma_0(4)$

Autor: Moore, Samantha C.

We locate all but $O(\sqrt{k\log{k}})$ zeroes of the half integral weight Eisenstein series $E_\infty(z,k)$ of $\Gamma_0(4)$ for $k$ sufficiently large. To do this, we relate $E_\infty(z,k)$ to $\Gamma_0(4)$'s other Eisenstein series, $E_0(z,k)$ and

Externí odkaz: http://arxiv.org/abs/1810.10716

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