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.
Defines foliation criterion for dense isoperiodic leaves in rank 1 affine orbifolds.
Study shows dynamics of rank 1 orbifolds in flat surfaces.
The paper studies the geometry and topology of a specific foliation on a complex surface.
The dynamics of holomorphic 1-forms are studied, showing ergodic foliations and connected spaces.
We study the topology of quasiperiodic solutions of the vortex filament equation in a neighborhood of multiply covered circles. We construct these solutions by means of a sequence of isoperiodic deformations, at each step of which a real double point is "unpinched" to produce a new pair of branch points and therefore a…
This note provides an easy construction of fake octagons.
Classifies non-arithmetic orbifolds in specific hyperbolic spaces.
If a curve in R^3 is closed, then the curvature and the torsion are periodic functions satisfying some additional constraints. We show that these constraints can be naturally formulated in terms of the spectral problem for a 2x2 matrix differential operator. This operator arose in the theory of the self-focusing Nonlin…