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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.

168,695 papers · 148 categories

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1223 · Feb 202319922001200920172026
8 results for self-joinings

The paper generalizes the Hausdorff dimension of limit sets for self-joinings of hyperbolic groups.

problem Calculating the Hausdorff dimension of limit sets for self-joinings of hyperbolic groups.
method The paper generalizes a classical result by considering self-joinings of convex cocompact groups and proving new inequalities for the Hausdorff dimension of directional limit sets.
result For k3k \leq 3, the paper establishes bounds on the Hausdorff dimension of directional limit sets for self-joinings of convex cocompact groups.

Study counts and equidistributes tori in Kleinian group self-joinings.

problem Counting and equidistribution of tori in Kleinian group self-joinings.
method Analyzes dd-dimensional torus packings invariant under a self-joining of a Kleinian group.
result Equidistribution results for tori with small volume in a class of dd-dimensional torus packings.

New theorem proves rigidity of Kleinian group representations under specific conditions.

problem Rigidity of Kleinian group representations under conformal boundary maps.
method Relates rigidity of ΓΓ to higher rank dynamics of self-joinings.
result If boundary map is conformal, it extends to a Möbius transformation and ρρ is conjugation unless ρρ is.

The study proves conditions for rigidity of Kleinian groups using measure theory and ergodic theory.

problem Conditions for rigidity of Kleinian groups via self-joinings.
method Ergodic theory for directional diagonal flows and conformal measure theory.
result Proves dichotomy conditions for Λ_f and Λ, with implications for the dimension and structure of limit sets.

The paper proves rigidity and ergodicity of horospherical foliations.

problem Rigidity and ergodicity of horospherical foliations in higher rank.
method Establishes higher rank extensions of rigidity theorems for representations of discrete subgroups of divergence type, using conformal measures and boundary maps.
result Proves conformal measure rigidity and ergodicity of horospherical foliations for hypertransverse subgroups.

The paper bounds growth indicator functions for discrete subgroups in algebraic groups.

problem Bounding growth indicator functions for discrete subgroups in algebraic groups.
method Pointwise bound and equality conditions for growth indicator functions.
result Strict inequalities and equality conditions for growth indicator functions.