Results 81 to 90 of about 338 (182)
Complete positivity and distance-avoiding sets. [PDF]
Math Program, 2022 DeCorte E, Filho FMO, Vallentin F.
europepmc +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Biomolecular Topology: Modelling and Analysis. [PDF]
Acta Math Sin Engl Ser, 2022 Liu J, Xia KL, Wu J, Yau SS, Wei GW.
europepmc +1 more source
Towards the boundary of the fine curve graph
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper, we study the Gromov boundary of this space and the local topology near points associated with certain foliations and laminations. We then give several applications including finding dynamically explicit elements with positive stable ...
Jonathan Bowden +2 more
wiley +1 more source
The quasi‐redirecting boundary
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
wiley +1 more source
Hausdorff measures and packing premeasures
, 2004 We estimate the HausdorR measures and the packing premeasures of symmetric generalized Cantor sets in the d-dimensional Euclidean space R^d. Two simple estimations will be obtained. Let φ_1 and φ_2 be two measure functions.
Aikawa, Hiroaki, Hatano, Kaoru
core
Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
On entropy and Hausdorff dimension of measures defined through a Markov process
, 2002 In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a markov non-homogeneous property. We prove, in particular, that the Hausdorff dimensions of this kind of measures coincide with their lower Rényi dimensions ...
Athanasios Batakis
core
Dimensions of measures on perturbed Cantor sets
, 2002 We investigate a class of Cantor sets, which has the striking property such that their Hausdorff dimensions are strictly less than their packing dimensions, while their corresponding measures, regarded as Borel measures on the sets, are equivalent ...
Ikeda, Satoshi, Nakamura, Munetaka
core +1 more source
The fractal brain: scale-invariance in structure and dynamics. [PDF]
Cereb Cortex, 2023 Grosu GF +8 more
europepmc +1 more source