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.
Study isoperimetric equalities for special closed curves.
Study on the geometry of secant caustic of planar curves.
We define cylinder knots as billiard knots in a cylinder. We present a necessary condition for cylinder knots: after dividing cylinder knots by possible rotational symmetries we obtain ribbon knots. We obtain an upper bound for the number of cylinder knots with two fixed parameters (out of three). In addition we prove …
We show that every knot has a checkerbord diagram and that every knot is the closure of a rosette braid. We define Fourier knots of type (n_1, n_2, n_3) as knots which have parametrizations where each coordinate function x_i(t) is a finite Fourier series of length n_i, and conclude that every knot is a Fourier knot of …
Study identifies prime strongly positive amphicheiral knots with double symmetry.
Gauss-Bonnet theorem extended to surfaces with boundary and applied to map properties.
The paper studies the geometry of Wigner caustics and decomposes curves into parallel arcs.
Survey of Turk's head knots and links properties.