Results 41 to 50 of about 149 (127)

Relatively dominated representations from eigenvalue gaps and limit maps. [PDF]

Geom Dedic, 2023
Zhu F.
europepmc   +1 more source

Gromov-Hausdorff convergence of maximal Gromov hyperbolic spaces and their boundaries

38 pages.
Biswas, Kingshook, Choudhury, Arkajit Pal   +1 more
openaire   +2 more sources

Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative. [PDF]

Probab Theory Relat Fields, 2022
Aoun R, Sert C.
europepmc   +1 more source

How the latent geometry of a biological network provides information on its dynamics: the case of the gene network of chronic myeloid leukaemia. [PDF]

Front Cell Dev Biol, 2023
Lecca P, Lombardi G, Latorre RV, Sorio C.   +3 more
europepmc   +1 more source

Complex hierarchical structures in single-cell genomics data unveiled by deep hyperbolic manifold learning. [PDF]

Genome Res, 2023
Tian T, Zhong C, Lin X, Wei Z, Hakonarson H.   +4 more
europepmc   +1 more source

Busemann functions and uniformization of Gromov hyperbolic spaces

Mathematische Nachrichten
AbstractThe uniformization theory of Gromov hyperbolic spaces investigated by Bonk, Heinonen, and Koskela, generalizes the case where a classical Poincaré ball type model is used as the starting point. In this paper, we develop this approach in the case where the underlying domain is unbounded, corresponding to the classical Poincaré half‐space model ...
Qingshan Zhou, Saminathan Ponnusamy, Antti Rasila   +2 more
openaire   +2 more sources

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

Ann Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

Curvature-Free Margulis Lemma for Gromov-Hyperbolic Spaces

, 2017
We prove curvature-free versions of the celebrated Margulis Lemma. We are interested by both the algebraic aspects and the geometric ones, with however an emphasis on the second and we aim at giving quantitative (computable) estimates of some important invariants.
Besson, Gérard, Courtois, Gilles, Gallot, Sylvestre, Sambusetti, Andrea   +3 more
openaire   +2 more sources

Quasi-metric antipodal spaces and maximal Gromov hyperbolic spaces

Geometriae Dedicata
Hyperbolic fillings of metric spaces are a well-known tool for proving results on extending quasi-Moebius maps between boundaries of Gromov hyperbolic spaces to quasi-isometries between the spaces. For CAT(-1) spaces, and more generally boundary continuous Gromov hyperbolic spaces, one can refine the quasi-Moebius structure on the boundary to a Moebius
openaire   +2 more sources

An elementary alternative to ECH capacities. [PDF]

Proc Natl Acad Sci U S A, 2022
Hutchings M.
europepmc   +1 more source