Zobrazeno 1 - 10
of 962
pro vyhledávání: '"Ivanov, Sergei A"'
Autor:
Ivanov, Sergei O., Xu, Xiaomeng
We study the concepts of the $\ell_p$-Vietoris-Rips simplicial set and the $\ell_p$-Vietoris-Rips complex of a metric space, where $1\leq p \leq \infty.$ This theory unifies two established theories: for $p=\infty,$ this is the classical theory of Vi
Externí odkaz:
http://arxiv.org/abs/2411.01857
Autor:
Ivanov, Sergei, Zhang, Yiou, Peacock, Joshua, Demidov, Vladislav E., Demokritov, Sergej O., Brookes, Nicholas, Wehinger, Bjorn, Freeland, John W., Urazhdin, Sergei
Both magnetism and spin-orbit coupling in systems with broken inversion symmetry lift the spin degeneracy of electronic bands, but the consequences of interplay between these mechanisms remain poorly understood. Here, we show that ultrathin transitio
Externí odkaz:
http://arxiv.org/abs/2407.18299
Autor:
Fu, Xin, Ivanov, Sergei O.
For a digraph $G$ without multisquares and a field $\mathbb{F}$, we construct a basis of the vector space of path $n$-chains $\Omega_n(G;\mathbb{F})$ for $n\geq 0$, generalising the basis of $\Omega_3(G;\mathbb{F})$ constructed by Grigory'an. For a f
Externí odkaz:
http://arxiv.org/abs/2407.17001
SrIrO$_3$ is a metallic complex oxide with unusual electronic and magnetic properties believed to originate from electron correlations due to its proximity to Mott metal-insulator transition. However, the nature of its electronic state and the mechan
Externí odkaz:
http://arxiv.org/abs/2405.18704
Autor:
Ivanov, Sergei O., Mukoseev, Lev
The article is devoted to the magnitude homology of digraphs, with a primary focus on diagonal digraphs, i.e., digraphs whose magnitude homology is concentrated on the diagonal. For any digraph $G$, we provide a complete description of the second mag
Externí odkaz:
http://arxiv.org/abs/2405.04748
In this paper, we study operations on functors in the category of abelian groups simplar to the derivation in the sense of Dold-Puppe. They are defined as derived limits of a functor applied to the relation subgroup over a category of free presentati
Externí odkaz:
http://arxiv.org/abs/2405.03175
Autor:
Asao, Yasuhiko, Ivanov, Sergei O.
We prove that the magnitude (co)homology of an enriched category can, under some technical assumptions, be described in terms of derived functors between certain abelian categories. We show how this statement is specified for the cases of quasimetric
Externí odkaz:
http://arxiv.org/abs/2402.14466
Let $\Delta$ be the Dirichlet Laplacian on the interval $(0,\pi)$. The null controllability properties of the equation $$u_{tt}+\Delta^2 u+\rho (\Delta)^\alpha u_t=F(x,t)$$ are studied. Let $T>0$, and assume initial conditions $(u^0,u^1)\in Dom(\Delt
Externí odkaz:
http://arxiv.org/abs/2401.14987
Autor:
Ivanov, Sergei O.
For a real $r\geq 0,$ we consider the notion of $r$-homotopy equivalence in the category quasimetric spaces, which includes metric spaces and directed graphs. We show that for a finite quasimetric space $X$ there is a unique (up to isometry) $r$-homo
Externí odkaz:
http://arxiv.org/abs/2312.11878
We assume that $M_0$ is a $d$-dimensional $C^{2,1}$-smooth submanifold of $R^n$. Let $K_0$ be the convex hull of $M_0,$ and $B^n_1(0)$ be the unit ball. We assume that $ M_0 \subseteq \partial K_0 \subseteq B^n_1(0).$ We also suppose that $M_0$ has v
Externí odkaz:
http://arxiv.org/abs/2312.10598