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17 papers · 1 filter
Square complexes and simplicial nonpositive curvature
Tomasz Elsner, Piotr Przytycki
We prove that each nonpositively curved square VH-complex can be turned functorially into a locally 6-large simplicial complex of the same homotopy type. It follows that any group…
Quantum information approach to normal representation of extensive games
Piotr Frackiewicz
We modify the concept of quantum strategic game to make it useful for extensive form games. We prove that our modification allows to consider the normal representation of any finit…
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Dragoş Iftimie, Grzegorz Karch, Christophe Lacave
We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the veloci…
Wavelet analysis on adeles and pseudo-differential operators
A. Yu. Khrennikov, A. V. Kosyak, V. M. Shelkovich
This paper is devoted to wavelet analysis on adele ring $\bA$ and the theory of pseudo-differential operators. We develop the technique which gives the possibility to generalize fi…
Convex hyperspaces of probability measures and extensors in the asymptotic category
Dušan Repovš, Mykhailo Zarichnyi
The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptot…
Motif based hierarchical random graphs: structural properties and critical points of an Ising model
M. Kotorowicz, Yu. Kozitsky
A class of random graphs is introduced and studied. The graphs are constructed in an algorithmic way from five motifs which were found in [Milo R., Shen-Orr S., Itzkovitz S., Kasht…