Results 51 to 60 of about 117 (110)
Gromov hyperbolicity in lexicographic product graphs [PDF]
Proceedings - Mathematical Sciences, 2018 arXiv admin note: text overlap with arXiv:1410 ...
Walter Carballosa +2 more
openaire +3 more sources
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
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
wiley +1 more source
Central Limit Theorems for Gromov Hyperbolic Groups [PDF]
Journal of Theoretical Probability, 2009 Accepted in Journal of Theoretical ...
openaire +2 more sources
Coboundary expansion and Gromov hyperbolicity
Groups, Geometry, and DynamicsWe 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
Gromov hyperbolic groups and the Macaev norm [PDF]
Pacific Journal of Mathematics, 2006 Let \(\Gamma\) be a Gromov hyperbolic group with a finite set \(A\) of generators. One can consider three quantities: the Coornaert-Papadopoulos topological entropy \(h_{top}(\Sigma(\infty))\) of the subshift associated to \((\Gamma,A)\), Voiculescu's invariant \(k^-_\infty(\lambda_A)\), and the growth entropy \(\text{gr}(\Gamma,A)\). The author proves
openaire +2 more sources
Functional Geometry of Human Connectomes. [PDF]
Sci Rep, 2019 Tadić B, Andjelković M, Melnik R.
europepmc +1 more source