Cover Image

Uniform distribution of saddle connection lengths in all $\mathsf{SL}(2,\mathbb{R})$ orbits

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Robertson, Donald, Dozier, Benjamin
Format:	Preprint
Published:	2026
Subjects:	Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Uniformly distributed orbits in $\mathbb{T}^d$ and singular substitution dynamical systems
by: Yaari, Rotem
Published: (2021)

Compactifications of strata of differentials
by: Dozier, Benjamin
Published: (2024)

Discontinuity of Lyapunov exponents for SL$(2,\mathbb{R})$ valued cocycles
by: Mamani, Edhin, et al.
Published: (2024)

Upper bounds for the entropy in the cusp for one-parameter diagonal flows on $SL_{d}(\mathbb{R})/SL_{d}(\mathbb{Z})$
by: Mor, Ron
Published: (2023)

Bounding entropy for one-parameter diagonal flows on $SL_{d}(\mathbb{R})/SL_{d}(\mathbb{Z})$ using linear functionals
by: Mor, Ron
Published: (2023)

Uniformly distributed periodic orbits of endomorphisms on $n$-tori
by: Yu, Daohua, et al.
Published: (2024)

Non-singular flows with twisted saddle orbit on orientable 3-manifolds
by: Pochinka, Olga, et al.
Published: (2024)

The super approximation property of $\mathrm{SL}_2(\mathbb{Z}/q\mathbb{Z}) \times \mathrm{SL}_2(\mathbb{Z}/q\mathbb{Z}) \times \mathrm{SL}_2(\mathbb{Z}/q\mathbb{Z})$
by: Zhang, Chong
Published: (2023)

Counting geodesics on expander surfaces
by: Dozier, Benjamin, et al.
Published: (2023)

Rigidity of saddle loops
by: Panazzolo, Daniel, et al.
Published: (2021)

Ends of the strata of differentials
by: Dozier, Benjamin, et al.
Published: (2025)

The boundary of a totally geodesic subvariety of moduli space
by: Benirschke, Frederik, et al.
Published: (2024)

Phase portraits for quadratic systems possessing an infinite elliptic-saddle or an infinite nilpotent saddle
by: Artés, Joan C., et al.
Published: (2023)

Hyperplane absolute winning property of bounded orbits under diagonalizable flows on $\mathrm{SL}_3(\mathbb{C})/\mathrm{SL}_3(\mathcal{O}_{\mathbb{K}})$
by: Sawant, Gaurav
Published: (2023)

Quantitative orbit equivalence for $\mathbb{Z}$-odometers
by: Naryshkin, Petr, et al.
Published: (2025)

Real analytic $\mathrm{SL}(n,\mathbb{R})$-actions on closed manifolds
by: Son, Miri
Published: (2025)

Global rigidity of smooth ${\mathbb Z}\ltimes_λ{\mathbb R}$-actions on ${\mathbb T}^2$
by: Dong, Changguang, et al.
Published: (2024)

A laminar chaotic saddle within a turbulent attractor
by: Kato, Hibiki, et al.
Published: (2024)

Parabolic saddles and Newhouse domains in Celestial Mechanics
by: Garrido, Miguel, et al.
Published: (2024)

Sparkling saddle loops of vector fields on surfaces
by: Shilin, Ivan
Published: (2019)

On an extreme value law for the unipotent flow on $\mathrm{SL}_2(\mathbb{R})/\mathrm{SL}_2(\mathbb{Z})$
by: Kirsebom, Maxim, et al.
Published: (2022)

Polynomial effective density in quotient of $\mathrm{SL}_2(\mathbb{Q}_p) \times \mathrm{SL}_2(\mathbb{Q}_p)$
by: Lin, Zuo
Published: (2024)

Uniform Boundedness of Homogeneous Incompressible Flows in $\mathbb{R}^3$
by: Iotti, Ulisse
Published: (2025)

Finiteness of measures of maximal entropy for smooth saddle surface endomorphisms
by: Ghezal, Matéo
Published: (2025)

Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of $\prod_{i=1}^k\operatorname{SL}_2(\mathbb R)$
by: Zheng, Cheng
Published: (2024)

The distribution of intersections in $\mathrm{SL}(3, \mathbb{Z}) \backslash \mathrm{SL}(3, \mathbb{R})$ and lattices related to roots of cubic congruences
by: Welsh, Matthew
Published: (2025)

Spectrum of SL(2,R)-characters: the once-punctured torus case
by: Ghazouani, Selim, et al.
Published: (2026)

Topology of 4-manifolds that admit non-singular flows with saddle orbits of the same index
by: Galkin, V., et al.
Published: (2025)

Marstrand type slicing statements in $\mathbb{Z}^{2}\subset \mathbb{R}^{2}$ are false for the counting dimension
by: Pathak, Aritro
Published: (2020)

On a stable torus in a 3D system with a saddle-focus
by: Shilnikov, Andrey L. Shilnikov answered Leonid P.
Published: (2026)

A Marstrand type slicing theorem for subsets of $\mathbb{Z}^2 \subset \mathbb{R}^2$ with the mass dimension
by: Pathak, Aritro
Published: (2020)

Conjugacy limits of certain subgroups in $\SL(2,\mathbb{R})\ltimes\mathbb{R}^2$
by: Choudhuri, Manoj, et al.
Published: (2026)

On the Dynamical System of Principal Curves in $\mathbb R^d$
by: Beinert, Robert, et al.
Published: (2021)

Polynomially effective equidistribution for unipotent orbits in products of $\mathrm{SL}_2$ factors
by: Lindenstrauss, Elon, et al.
Published: (2026)

Almost Regular Closedness of the Connectedness Locus for Pairs of Affine Maps on $\mathbb{R}^2$
by: Rosler, Omer
Published: (2024)

Uniform Bounds on S-Integral Torsion Points for $\mathbb{G}_m$ and Elliptic Curves
by: Yap, Jit Wu
Published: (2023)

Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$
by: Yang, Lei
Published: (2022)

Structure theorems of commuting transformations and minimal $\mathbb{R}$-flows
by: Shao, Song, et al.
Published: (2025)

A rank one mild mixing system without minimal self joinings
by: Chaika, Jon, et al.
Published: (2024)

$\mathbb R$- and $\mathbb C$-supercyclicity for some classes of operators
by: D'Aniello, Emma, et al.
Published: (2024)