Results 41 to 50 of about 462 (153)
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
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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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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
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Thurston obstructions and tropical geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
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Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
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Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric functions over arbitrary rings to extend this result to any ring. In particular, we study the discrete isoperimetric function and show that its linearity is equivalent to hyperbolicity,
Shaked Bader +2 more
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Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
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Gromov hyperbolicity and a variation of the Gordian complex
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2011 9 pages, 6 ...
Ichihara, Kazuhiro, Jong, In Dae
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On profinite rigidity amongst free‐by‐cyclic groups I: The generic case
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
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