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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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3 results for “C^1-conjugacy”

Local models for smooth vector fields of the linemath.DS

Classifies singularities of smooth vector fields on the line.

problem Classifying singularities of smooth vector fields on the line.

method Local classification with respect to

C^1

-conjugacy, including normal forms and unfoldings.

result Complete description of the 1-d case achieved.

vector fields singularities equivalence relation C^1-conjugacy transversal unfoldings

2024-07-21abs ↗pdf ↗

Some Rigidity Theorem for Anosov Geodesic Flowsmath.DS

In this paper, we prove that if the geodesic flow of a complete manifold without conjugate points with sectional curvatures bounded below by $-c^2$ is of Anosov type, then the constant of contraction of the flow is $\geq e^{-c}$ . Moreover, if $M$ has finite volume, the equality holds if and only if the sectional curvat…

2017-09-27abs ↗pdf ↗

On residues and conjugacies for germs of 1-D parabolic diffeomorphisms in finite regularitymath.DS

Study conjugacy classes of parabolic diffeomorphisms fixing the origin.

problem Understanding conjugacy classes of parabolic diffeomorphisms fixing the origin.

method Establish results on differentiability classes and order of tangency, focusing on the invariance of residues under low-regular conjugacies.

result Sharp results on invariance of residues under low-regular conjugacies, extending previous work on Schwarzian derivatives.

parabolic diffeomorphisms residues conjugacies Schwarzian derivative differentiability classes

2023-02-25abs ↗pdf ↗