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pro vyhledávání: '"Bodart A"'
In this paper, the Identity Problem for certain groups, which asks if the subsemigroup generated by a given finite set of elements contains the identity element, is related to problems regarding ordered groups. Notably, the Identity Problem for a tor
Externí odkaz:
http://arxiv.org/abs/2411.15639
Autor:
Bodart, Corentin
We provide an example of a virtually $2$-step nilpotent group, and a specific generating set, for which the Green series (sometimes called cogrowth series) is not D-finite. The proof relies on an arithmetical miracle, and the study of the subword com
Externí odkaz:
http://arxiv.org/abs/2409.13395
Autor:
Bodart, Corentin, Tashiro, Kenshiro
We study the horofunction boundary of finitely generated nilpotent groups, and the natural group action on it. More specifically, we prove the followings results: For discrete Heisenberg groups, we classify the orbits of Busemann points. As a byprodu
Externí odkaz:
http://arxiv.org/abs/2407.11943
Autor:
Bodart, Corentin, Osin, Denis
We provide examples of groups with transcendental spectral radius. The proofs relies on links between decidability of the Word Problem and semi-computability of the spectral radius, and on classical small-cancellation theory.
Comment: Primary ar
Comment: Primary ar
Externí odkaz:
http://arxiv.org/abs/2404.17840
Autor:
Bodart, Corentin, Dong, Ruiwen
The Tits alternative states that a finitely generated matrix group either contains a nonabelian free subgroup $F_2$, or it is virtually solvable. This paper considers two decision problems in virtually solvable matrix groups: the Identity Problem (do
Externí odkaz:
http://arxiv.org/abs/2404.02264
Autor:
Bodart, Corentin
We study both the Submonoid Membership problem and the Rational Subset Membership problem in finitely generated nilpotent groups. We give two reductions with important applications. First, Submonoid Membership in any nilpotent group can be reduced to
Externí odkaz:
http://arxiv.org/abs/2401.15504
Autor:
Bodart, Corentin
We give a criterion on pairs $(G,S)$ - where $G$ is a virtually $s$-step nilpotent group and $S$ is a finite generating set - saying whether the geodesic growth is exponential or strictly sub-exponential. Whenever $s=1,2$, this goes further and we pr
Externí odkaz:
http://arxiv.org/abs/2306.10381
Autor:
Cristiano das Neves Bodart
Publikováno v:
Pro-Posições, Vol 35 (2024)
Resumo Este artigo apresenta uma análise de redes de colaboração autoral entre pesquisadores do Ensino de Sociologia, com o objetivo de examinar os aspectos constituintes do subcampo de pesquisa. Utilizando o método de produção e análise de re
Externí odkaz:
https://doaj.org/article/9356be153bee42738242edb8fe6c5c65
Autor:
Victor Bodart-Santos, Zhi Ruan, Bridgette C. Melvin, Ikshu Pandey, Seiko Ikezu, Tsuneya Ikezu
Publikováno v:
Cell Reports, Vol 43, Iss 12, Pp 115025- (2024)
Summary: Microglia, brain innate immune cells, participate in the spread of inflammatory signals and aggregated proteins through secretion of extracellular vesicles (EVs). Selenoprotein P (Sepp1) is a potential regulator of microglial EV secretion. H
Externí odkaz:
https://doaj.org/article/c9da0d93ce9442a39cd0321e3fe679c7
We present a new method to invert variable stress changes of fractures from InSAR ground displacements. Fractures can be either faults or magma intrusions, embeded in a 3D heterogeneous crust with prominent topographies. The method is based on a fict
Externí odkaz:
http://arxiv.org/abs/2212.03198