Results 1 to 10 of about 4,543,211 (197)
Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups. [PDF]
Math Ann, 2023 We give a new short proof of the theorem due to Marquis and Sabok, which states that the orbit equivalence relation induced by the action of a finitely generated hyperbolic group on its Gromov boundary is hyperfinite.
Naryshkin P, Vaccaro 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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On asymptotic dimension of groups [PDF]
, 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.
Alexander N Dranishnikov +8 more
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Nuclear Dimension of Subhomogeneous Twisted Groupoid C*-algebras and Dynamic Asymptotic Dimension [PDF]
International mathematics research notices, 2023 We characterize subhomogeneity for twisted étale groupoid $\text{C}^{*}$-algebras and obtain an upper bound on their nuclear dimension. As an application, we remove the principality assumption in recent results on upper bounds on the nuclear dimension ...
Christian Bonicke, Kang Li
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On the dynamic asymptotic dimension of étale groupoids [PDF]
Mathematische Zeitschrift, 2023 We investigate the dynamic asymptotic dimension for étale groupoids introduced by Guentner, Willett and Yu. In particular, we establish several permanence properties, including estimates for products and unions of groupoids.
Christian Bönicke
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Topological rigidity of the dynamic asymptotic dimension [PDF]
Groups, Geometry, and Dynamics, 2023 We show for a free action of a countable group \Gamma on a finite-dimensional, compact metric space by homeomorphisms that the dynamic asymptotic dimension is either infinite or coincides with the asymptotic dimension of \Gamma .
S. Pilgrim
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Dynamic asymptotic dimension and Matui's HK conjecture [PDF]
Proceedings of the London Mathematical Society, 2021 We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side‐effect of our methods, we also give a new model of groupoid homology in terms of the Tor groups ...
Christian Bönicke +3 more
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Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension [PDF]
Communications on Pure and Applied Mathematics, 2021 Gromov proved a quadratic decay inequality of scalar curvature for a class of complete manifolds. In this paper, we prove that for any uniformly contractible manifold with finite asymptotic dimension, its scalar curvature decays to zero at a rate ...
Jinmin Wang, Zhizhang Xie, Guoliang Yu
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Electronic Research Archive, 2023 In this paper, the uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness is studied in unbounded domain. The uniform asymptotic properties of the process family is proved with the energy equation method and the
Xiaoxia Wang, Jinping Jiang
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Asymptotic Dimension of Minor-Closed Families and Assouad-Nagata Dimension of Surfaces [PDF]
Journal of the European Mathematical Society (Print), 2020 The asymptotic dimension is an invariant of metric spaces introduced by Gromov in the context of geometric group theory. In this paper, we study the asymptotic dimension of metric spaces generated by graphs and their shortest path metric and show their ...
Marthe Bonamy +6 more
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