Results 11 to 20 of about 46,976 (223)
On groups with locally compact asymptotic cones [PDF]
International Journal of Algebra and Computation, 2013 We show how a recent result of Hrushovsky [Stable group theory and approximate subgroups, J. Amer. Math. Soc.25(1) (2012) 189–243] implies that if an asymptotic cone of a finitely generated group is locally compact, then the group is virtually nilpotent.
Mark Sapir
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Asymptotic properties of PDEs in compact spaces [PDF]
Journal of Fixed Point Theory and Applications, 2021 AbstractIn this article we combine the study of solutions of PDEs with the study of asymptotic properties of the solutions via compactification of the domain. We define new spaces of functions on which study the equations, prove a version of Ascoli–Arzelà Theorem, develop the fixed point index results necessary to prove existence and multiplicity of ...
Lucía López-Somoza, F. Adrián F. Tojo
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Spectral asymptotics of compact pseudodifferential operators with ?constant? symbol [PDF]
Journal of Soviet Mathematics, 1986 The author considers matrix pseudo-differential operators on Euclidean sets. It is supposed that this function of operator symbol belonging to the Hörmander class is the function with argument ''\(\xi\) ''. For these operators formula of spectral asymptotic with a remainder estimate is obtained.
A. S. Andreev
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Asymptotic distribution of functions on compact homogeneous spaces [PDF]
Annali di Matematica Pura ed Applicata, 1988 The authors study distribution properties of continuous functions on compact connected homogeneous Riemannian manifolds \(X\) (generalizing known results in the special case \(X=\mathbb{R}^n/\mathbb{Z}^n)\). It is proved that almost all functions are uniformly distributed and almost no functions are well distributed.
Martin Blümlinger +2 more
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Asymptotic symmetries of projectively compact order one Einstein manifolds [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering SciencesWe show that the boundary of a projectively compact Einstein manifold of dimension n can be extended by a line bundle naturally constructed from the projective compactification.
Jack Borthwick, Yannick Herfray
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Asymptotic compactness in topological spaces [PDF]
Topology and its Applications, 2021 The omega limit sets plays a fundamental role to construct global attractors for topological semi-dynamical systems with continuous time or discrete time. Therefore, it is important to know when omega limit sets become nonempty compact sets. The purpose of this paper is to understand the mechanism under which a given net of subsets of topological ...
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Asymptotic invariants of lattices in locally compact groups [PDF]
Comptes Rendus. Mathématique, 2018 The aim of this work is to understand some of the asymptotic properties of sequences of lattices in a fixed locally compact group. In particular we will study the asymptotic growth of the Betti numbers of the lattices renormalized by the covolume and the rank gradient, the minimal number of generators also renormalized by the covolume.
Alessandro Carderi
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Asymptotics and zeta functions on compact nilmanifolds [PDF]
Journal de Mathématiques Pures et Appliquées, 2022 arXiv admin note: substantial text overlap with arXiv:2101 ...
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Existence of pullback attractors for pullback asymptotically compact processes [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor.
Tomás Caraballo +3 more
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Asymptotically optimal designs on compact algebraic manifolds [PDF]
Monatshefte für Mathematik, 2018 We find t-designs on compact algebraic manifolds with a number of points comparable to the dimension of the space of polynomials of degree t on the manifold. This generalizes results on the sphere by Bondarenko, Radchenko and Viazovska. Of special interest is the particular case of the Grassmannians where our results improve the bounds that had been ...
Ujué Etayo +2 more
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