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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.

168,742 papers · 148 categories

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3 results for “temperedness”

Temperedness of

L^2(Γ\backslash G)

and positive eigenfunctions in higher rankmath.GT

Study shows $L^2$ -temperedness and absence of positive eigenfunctions in certain groups.

problem Analyzing

L^2

-temperedness and eigenfunctions in specific groups.

method Examined representations of finitely generated groups into simple algebraic groups, focusing on

SO^\circ(n,1)

result Demonstrated

L^2

-temperedness and absence of positive eigenfunctions in specified groups.

L^2-temperedness positive eigenfunctions Anosov subgroup Hitchin subgroup simple algebraic groups

2022-02-13abs ↗pdf ↗

Proper Actions and Representation Theorymath.RT

The paper explores proper actions and their relation to representation theory, with new quantitative methods.

problem Understanding proper actions and their connection to representation theory.

method Geometric criteria, sharpness measure, and dynamical volume estimates.

result New quantitative methods have established temperedness criteria for unitary representations.

proper actions representation theory sharpness dynamical volume temperedness

2025-06-18abs ↗pdf ↗

Cutoff on Hyperbolic Surfacesmath.GT

In this paper we study the common distance between points and the behavior of a constant length step discrete random walk on finite area hyperbolic surfaces. We show that if the second smallest eigenvalue of the Laplacian is at least 1/4, then the distances on the surface are highly concentrated around the minimal poss…

2017-12-29abs ↗pdf ↗