Results 41 to 50 of about 4,893,677 (289)
Topology and its Applications, 2008 Added some remarks about coarse equivalence of finitely generated groups.
Mathematics +3 more
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On Asymptotic Dimension of Groups Acting on Trees [PDF]
Geometriae Dedicata, 2004 We prove the following theorem: Let $π$ be the fundamental group of a finite graph of groups with finitely generated vertex groups $G_v$ having asdim $G_v\le n$ for all vertices $v$. Then asdim$π\le n+1$. This gives the best possible estimate for the asymptotic dimension of an HNN extension and the amalgamated product.
Bell, G., Dranishnikov, A.
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Cosmic branes and asymptotic structure
Journal 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
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Asymptotic dimension and hyperfiniteness of generic Cantor actions [PDF]
Groups, Geometry, and DynamicsWe show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation.
Sumun Iyer, Forte Shinko
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On asymptotic dimension of groups [PDF]
Algebraic & Geometric Topology, 2001 We prove a version of the countable union theorem for asymptotic dimension and we apply it to groups acting on asymptotically finite dimensional metric spaces. As a consequence we obtain the following finite dimensionality theorems. A) An amalgamated product of asymptotically finite dimensional groups has finite asymptotic dimension: asdim A *_C B <
Bell, G, Dranishnikov, Alexander N
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Cohomological approach to asymptotic dimension [PDF]
Geometriae Dedicata, 2008 30 ...
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Mathematics, 2023 In this paper, we propose to study the asymptotic properties of some conditional functional parameters, such as the distribution function, the density, and the hazard function, for an explanatory variable with values in a Hilbert space (infinite ...
Hamza Daoudi +2 more
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Asymptotic dimension of graphs of groups and one-relator groups [PDF]
Algebraic & Geometric Topology, 2019 We prove a new inequality for the asymptotic dimension of HNN-extensions. We deduce that the asymptotic dimension of every one relator group is at most two, confirming a conjecture of A.Dranishnikov. As another corollary we calculate the exact asymptotic
Panagiotis Tselekidis
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Asymptotic symmetries and celestial CFT
Journal of High Energy Physics, 2020 We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension ∆.
Laura Donnay +2 more
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APD profiles and transfinite asymptotic dimension [PDF]
Topology and its Applications, 2019 We develop the theory of APD profiles introduced by J. Dydak for $\infty$-pseudometric spaces. We connect them with transfinite asymptotic dimension defined by T. Radul. We give a characterization of spaces with transfinite asymptotic dimension at most $\
K. Orzechowski
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