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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.

168,786 papers · 148 categories

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5 results for “SRB-measures”

SRB measures for Anosov actionsmath.DS

Study SRB measures for Anosov actions on manifolds.

problem Characterize SRB measures for Anosov actions.

method Use Ruelle-Taylor resonances and properties of Sinai-Ruelle-Bowen measures.

result SRB measures have properties like smooth disintegrations, positive basins, and are unique under certain conditions.

SRB measures Anosov actions Ruelle-Taylor resonances Sinai-Ruelle-Bowen measures uniqueness

2021-03-22abs ↗pdf ↗

Uniqueness of the measure of maximal entropy for geodesic flows on surfacesmath.DS

Proves uniqueness of measure of maximal entropy for geodesic flows on surfaces.

problem Proving uniqueness of measure of maximal entropy for geodesic flows on surfaces.

method Analyzes geodesic flows on closed orientable C^∞ surfaces, proving uniqueness of measure of maximal entropy and at most one SRB measure.

result Proves uniqueness of measure of maximal entropy for geodesic flows on surfaces, covering previous results and new examples.

geodesic flows entropy SRB measures maximal entropy closed surfaces

2025-11-27abs ↗pdf ↗

On positive Lyapunov exponents along

E^{cu}

and non-uniformly expanding for partially hyperbolic systemsmath.DS

The paper proves conditions for non-uniform expansion in partially hyperbolic systems.

problem Conditions for non-uniform expansion in partially hyperbolic systems.

method Analysis of Lyapunov exponents and dominated splittings.

result Existence of physical SRB measure under specific conditions.

Lyapunov exponents dominated splitting non-uniform expansion partially hyperbolic systems physical SRB measure

2021-12-21abs ↗pdf ↗

Resonant forms at zero for dissipative Anosov flowsmath.DS

Study resonant forms for dissipative Anosov flows on 3-manifolds.

problem Determine resonant forms and their cohomology classes for dissipative Anosov flows.

method General theory including horocyclic invariance and local geometry analysis.

result Explicit computation of resonant forms and helicity for quasi-Fuchsian flows.

Anosov flows dissipative resonant forms SRB-measures helicity

2022-11-11abs ↗pdf ↗

Ruelle-Taylor resonances of Anosov actionsmath.DS

New resonance theory for Anosov flows connects spectral properties to mixing measures.

problem Defining and analyzing Ruelle-Taylor resonances for Anosov actions.

method Combining microlocal methods and J. Taylor's cohomological theory, defining Ruelle-Taylor resonances and proving Fredholm theory.

result Ruelle-Taylor resonances form a discrete subset of

\mathbb{C}^κ

with

λ=0

being a leading resonance.

Anosov actions Ruelle-Taylor resonances Fredholm theory SRB measures Weyl chamber flows

2020-07-28abs ↗pdf ↗