Results 61 to 70 of about 3,724 (168)

Principal frequency of clamped plates on RCD(0,N)${\sf RCD}(0,N)$ spaces: Sharpness, rigidity, and stability

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
wiley   +1 more source

Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces [PDF]

, 2021
Hyungryul Baik, In-Hyeok Choi, Dongryul M. Kim   +2 more
openalex   +1 more source

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, Robert Kropholler, Vladimir Vankov   +2 more
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

Gromov hyperbolicity of the 𝑗_{𝐺} metric and boundary correspondence [PDF]

, 2022
Qingshan Zhou, Saminathan Ponnusamy, Tiantian Guan   +2 more
openalex   +1 more source

Structure of quasiconvex virtual joins

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Let G$G$ be a relatively hyperbolic group and let Q$Q$ and R$R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups Q′⩽fQ$Q^{\prime } \leqslant _f Q$ and R′⩽fR$R^{\prime } \leqslant _f R$ such that the subgroup join ⟨Q′,R′⟩$\langle Q^{\prime }, R^{\prime } \rangle$ is also relatively quasiconvex,
Lawk Mineh
wiley   +1 more source

Bounded projections to the Z$\mathcal {Z}$‐factor graph

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Suppose that G$G$ is a free product G=A1∗A2∗⋯∗Ak∗FN$G = A_1 * A_2* \cdots * A_k * F_N$, where each of the groups Ai$A_i$ is torsion‐free and FN$F_N$ is a free group of rank N$N$. Let O$\mathcal {O}$ be the deformation space associated to this free product decomposition. We show that the diameter of the projection of the subset of O$\mathcal {O}
Matt Clay, Caglar Uyanik
wiley   +1 more source

Asymptotic behavior of Moncrief Lines in constant curvature space‐times

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1347-1359, May 2025.
Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti, Abderrahim Mesbah, Lamine Messaci   +2 more
wiley   +1 more source

Coboundary expansion and Gromov hyperbolicity

Groups, Geometry, and Dynamics
We prove that if a compact n -manifold admits a sequence of residual covers that form a coboundary expander in dimension  n-2 , then the manifold has Gromov ...
Dawid Kielak, Piotr W. Nowak
openaire   +2 more sources