Topological regular variation. I: Slow variation
From MaRDI portal
Publication:989081
DOI10.1016/j.topol.2010.04.001zbMath1202.26004OpenAlexW2106789396MaRDI QIDQ989081
Nicholas H. Bingham, Adam J. Ostaszewski
Publication date: 27 August 2010
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2010.04.001
categorytopological dynamicsflowscocyclesuniform convergence theoremgroup normmultivariate regular variationmeasure-category dualityequicontinuity principlegroup-theoretic dualityslowly-varying functions
General structure theorems for groups (20E34) Topological dynamics (37B99) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
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Homomorphisms from functional equations: the Goldie equation, Probabilistic norms on the homeomorphisms of a group, The index theorem of topological regular variation and its applications, Effros, Baire, Steinhaus and non-separability, Analytically heavy spaces: analytic Cantor and analytic Baire theorems, Group action and shift-compactness, Topological regular variation. II: The fundamental theorems, Topological regular variation. III: Regular variation
Cites Work
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- Domains of attraction and regular variation in \({\mathbb{R}}^ d\)
- Convergence and existence of random set distributions
- Topological regular variation. II: The fundamental theorems
- Topological regular variation. III: Regular variation
- High risk scenarios and extremes. A geometric approach
- Cocycles in topological dynamics
- The index theorem of topological regular variation and its applications
- Functional large deviations for multivariate regularly varying random walks
- A characterization of a class of uniform spaces that admit an invariant integral
- On continuity and openess of homomorphisms in topological groups
- Locally homogeneous spaces
- Beyond Lebesgue and Baire II: Bitopology and measure-category duality
- Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski
- Normed versus topological groups: Dichotomy and duality
- Extension of mappings on metric spaces
- Multivariate regular variation on cones: application to extreme values, hidden regular variation and conditioned limit laws
- A Note on the Effros Theorem
- Beyond Lebesgue and Baire: generic regular variation
- A Category Analogue of the Hewitt-Savage Zero-One Law
- On All Kinds of Homogeneous Spaces
- Translates of Sequences in Sets of Positive Measure
- Strong local homogeneity and coset spaces
- Heavy-Tail Phenomena
- On the sum and difference of two sets in topological vector spaces
- The Convergent Sequences Belonging To a Set
- Invariant Metrics in Groups (Solution of a Problem of Banach)
- Homeomorphism Groups and Coset Spaces
- Topologies for Homeomorphism Groups