Results 41 to 50 of about 117 (110)
Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
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Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
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7‐Location, weak systolicity, and isoperimetry
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract m$m$‐Location is a local combinatorial condition for flag simplicial complexes introduced by Osajda. Osajda showed that simply connected 8‐located locally 5‐large complexes are hyperbolic. We treat the nonpositive curvature case of 7‐located locally 5‐large complexes.
Nima Hoda, Ioana‐Claudia Lazăr
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Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
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Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics [PDF]
Complex Variables and Elliptic Equations, 2009 9 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23; 30C99.-- Dedicated to Professor Andreian Cazacu on the occasion of her 80th birthday. In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the
Hästö, Peter +3 more
openaire +2 more sources
Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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Teichmuller Space is Not Gromov Hyperbolic
, 1994 We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Masur, Howard A., Wolf, Michael
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Mean‐field behaviour of the random connection model on hyperbolic space
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the random connection model on hyperbolic space Hd${\mathbb {H}^d}$ in dimension d=2,3$d=2,3$. Vertices of the spatial random graph are given as a Poisson point process with intensity λ>0$\lambda >0$. Upon variation of λ$\lambda$, there is a percolation phase transition: there exists a critical value λc>0$\lambda _c>0$ such that for λ<
Matthew Dickson, Markus Heydenreich
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Embedding products of trees into higher rank
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We show that there exists a quasi‐isometric embedding of the product of n$n$ copies of HR2$\mathbb {H}_{\mathbb {R}}^2$ into any symmetric space of non‐compact type of rank n$n$, and there exists a bi‐Lipschitz embedding of the product of n$n$ copies of the 3‐regular tree T3$T_3$ into any thick Euclidean building of rank n$n$ with co‐compact ...
Oussama Bensaid, Thang Nguyen
wiley +1 more source