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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “non-Anosov”

Partially hyperbolic geodesic flow via conformal deformationmath.DS

Paper constructs new non-Anosov Partially Hyperbolic Geodesic flows using conformal deformations.

problem Creating new non-Anosov Partially Hyperbolic Geodesic flows.

method Using conformal deformations to produce examples of partially hyperbolic geodesic flows.

result Proves ergodicity for the Liouville measure and uniqueness of the measure of maximal entropy.

geodesic flow conformal deformations partially hyperbolic non-Anosov ergodicity

2024-10-28abs ↗pdf ↗

Quasi-isometric free group representations into SL_3(R)math.GR

Researchers show how to perturb free group representations into higher rank groups.

problem Understanding representations of free groups into non-Anosov Lie groups.

method Study quasi-isometric representations and show perturbations.

result Some representations can be perturbed to be non-quasi-isometric or unstable.

free groups higher rank Lie groups quasi-isometry perturbation non-Anosov

2024-11-05abs ↗pdf ↗

Reducible Suspensions of Anosov Representationsmath.GR

Study Anosov representations of reducible suspensions of hyperbolic groups.

problem Characterize dynamical properties of reducible suspensions of Anosov representations.

method Analyzing linear representations of non-elementary hyperbolic groups, focusing on weak unipotent actions on subspaces.

result Characterize when reducible suspensions are discrete and faithful, quasi-isometrically embedded, and Anosov.

Anosov representations hyperbolic groups dynamical properties reducible suspensions weak unipotent actions

2023-12-15abs ↗pdf ↗

On dynamical invariants of coadjoint orbits of 3D volume-preserving diffeomorphismsmath.DS

Study reveals failure of uniqueness in dynamical invariants for 3D volume-preserving diffeomorphisms.

problem Uniqueness of dynamical invariants for 3D volume-preserving diffeomorphisms.

method Examined failure of uniqueness on integral homology spheres and arbitrary three-manifolds using local and global invariants.

result Failure of uniqueness is severe, with continuous and non-constant invariants appearing in

C^1

-open sets of nonvanishing exact fields of fixed helicity.

dynamical invariants volume-preserving diffeomorphisms integral homology spheres Ruelle invariant topological entropy

2025-10-14abs ↗pdf ↗