Results 31 to 40 of about 130 (118)
Certifying Anosov representations
Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley +1 more source
Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres [PDF]
We prove that for every $\Q$-homological Finsler 3-sphere $(M,F)$ with a bumpy and irreversible metric $F$, either there exist two non-hyperbolic prime closed geodesics, or there exist at least three prime closed geodesics.
Duan, Huagui, Long, Yiming
openaire +2 more sources
Limits of cubic differentials and buildings
Abstract In the Labourie–Loftin parameterization of the Hitchin component of surface group representations into SL(3,R)$\mathrm{SL}(3,\mathbb {R})$, we prove an asymptotic formula for holonomy along rays in terms of local invariants of the holomorphic differential defining that ray.
John Loftin +2 more
wiley +1 more source
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
Mean Value Property Related to the Finsler p‐Laplacian
In this paper, we investigate the mean value property of a function associated with the solution of homogeneous Finsler p‐Laplacian equation. For this purpose, we present the relationship between the volume of a Finsler ball and the surface area of a Finsler sphere, and the fundamental solution of the partial differential equation involving the Finsler
Benyam Mebrate, Mohammad Safi Ullah
wiley +1 more source
Projectively flat Finsler 2-spheres of constant curvature [PDF]
AMS-TeX v2.1, amsppt.sty (v.
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Observer Design and Residual Evaluation of System Actuators With Lipschitz Nonlinearity
Summary: This paper studies observer design and residual evaluation of system actuators with Lipschitz nonlinearity. A fault detection observer for actuators that satisfies the Lipschitz nonlinearity condition is proposed in the finite‐frequency domain to ensure its robustness to disturbances and sensitivity to faults under bounded fault amplitude ...
Zhihao Zhang +4 more
wiley +1 more source
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
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
wiley +1 more source
Geodesic orbit spheres and constant curvature in Finsler geometry [PDF]
In version 2 of this paper, a reference has been added, and a minor mistake in the introduction section has been ...
openaire +2 more sources
A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces
Abstract In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an example of a length PI space (without the deformation property) where an isoperimetric set does not have any representative whose topological interior is nonempty ...
Enrico Pasqualetto, Tapio Rajala
wiley +1 more source

