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Hurewicz Theorem for Assouad-Nagata dimension

open access: yesTopology and its Applications, 2006
Given a function $f\colon X\to Y$ of metric spaces, its {\it asymptotic dimension} $\asdim(f)$ is the supremum of $\asdim(A)$ such that $A\subset X$ and $\asdim(f(A))=0$.
Brodskiy, N.   +3 more
core   +12 more sources

Buildings have finite asymptotic dimension [PDF]

open access: yesRussian Journal of Mathematical Physics, 2007
In this note, we show that the asymptotic dimension of any building is finite and equal to the asymptotic dimension of an apartment in that building.Comment: 4 pages; v2: typos corrected, to appear in Russian Journal of Mathematical Physics, special ...
Dymara, Jan, Schick, Thomas
core   +6 more sources

Cosmic branes and asymptotic structure

open access: yesJournal of High Energy Physics, 2019
Superrotations of asymptotically flat spacetimes in four dimensions can be interpreted in terms of including cosmic strings within the phase space of allowed solutions.
F. Capone, M. Taylor
doaj   +3 more sources

Universal derivation of the asymptotic charges of bosonic massless particles

open access: yesPhysics Letters B, 2023
We present a unified treatment of the conserved asymptotic charges associated with any bosonic massless particle in any spacetime dimension. In particular we provide master formulae for the asymptotic charges and the central extensions in the ...
Kevin Nguyen, Peter West
doaj   +1 more source

Slightly broken higher-spin current in bosonic and fermionic QED in the large-$N$ limit

open access: yesSciPost Physics, 2023
We study the slightly broken higher-spin currents in various CFTs with U(1) gauge field, including the tricritical QED, scalar QED, fermionic QED and QED-Gross-Neveu-Yukawa theory. We calculate their anomalous dimension by making use of the classical non-
Zheng Zhou, Yin-Chen He
doaj   +1 more source

Asymptotic Solution for a Visco-Elastic Thin Plate: Quasistatic and Dynamic Cases

open access: yesMathematics, 2023
The Kelvin–Voigt model for a thin stratified two-dimensional visco-elastic strip is analyzed both in the quasistatic and in the dynamic cases. The Neumann boundary conditions on the upper and the lower parts of the boundary and periodicity conditions ...
Grigory Panasenko, Ruxandra Stavre
doaj   +1 more source

Asymptotic dimension of discrete groups [PDF]

open access: yesFundamenta Mathematicae, 2006
We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.
Dranishnikov, A., Smith, J.
openaire   +2 more sources

OPE statistics from higher-point crossing

open access: yesJournal of High Energy Physics, 2022
We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions.
Tarek Anous   +3 more
doaj   +1 more source

Asymptotic Behavior of the Edge Metric Dimension of the Random Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2021
Given a simple connected graph G(V,E), the edge metric dimension, denoted edim(G), is the least size of a set S ⊆ V that distinguishes every pair of edges of G, in the sense that the edges have pairwise different tuples of distances to the vertices of S.
Zubrilina Nina
doaj   +1 more source

On asymptotic symmetries in higher dimensions for any spin

open access: yesJournal of High Energy Physics, 2020
We investigate asymptotic symmetries in flat backgrounds of dimension higher than or equal to four. For spin two we provide the counterpart of the extended BMS transformations found by Campiglia and Laddha in four-dimensional Minkowski space.
Andrea Campoleoni   +2 more
doaj   +1 more source

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