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.
Estimates for Dirac solutions applied to a new elliptic-parabolic problem.
Expanding knowledge of Engel structures via geometric constructions and dynamics analysis.
The indicatrix or curvature ellipse and the characteristic curve of a surface in are presented, as well as the projective duality connecting them. The characterisation of points in the surfaces as elliptic, parabolic and hyperbolic points, and the inflection points, are also discussed.
This paper presents geometrical foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theories based on the representation theory of SL(2,R) group. We describe here geometries of corresponding domains. The principal role is played by Clifford algebras of mat…
We study the action of the elements of the mapping class group of a surface of finite type on the Teichmüller space of that surface equipped with Thurston's asymmetric metric. We classify such actions as elliptic, parabolic, hyperbolic and pseudo-hyperbolic, depending on whether the translation distance of such an elem…
Survey on recent developments in isometric immersions using PDE techniques.
The model of a bicycle is a unit segment AB that can move in the plane so that it remains tangent to the trajectory of point A (the rear wheel is fixed on the bicycle frame); the same model describes the hatchet planimeter. The trajectory of the front wheel and the initial position of the bicycle uniquely determine its…
Unified kernel framework extends to stochastic systems, improving numerical stability.
The paper studies gradient estimates for heat kernels and harmonic functions in metric measure spaces.
Investigate the local geometry of smooth surfaces in 4-space via contact with 2-planes and apparent contours.