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.
Simplified proof of equivalence between stability and Bowditch conditions.
We prove the equivalence of two conditions on the primitive elements in an representation of the free group on two generators, which may hold even when the image of is not discrete. One is Minsky's condition of primitive stability and the other is the -condition introduced by Bowditch …
New findings on stability and Q-conditions for free group actions in hyperbolic spaces.
Study on representations of four-punctured sphere group in hyperbolic spaces.
In this paper, we give a complete criterion for a discrete faithful representation $ρ:F_n \ra \pslc$ to be primitive stable. This will answer Minsky's conjectures about geometric conditions on $\H^3/ρ(F_n)$ regarding the primitive stability of .
The paper studies mapping class group actions on character varieties of surfaces.
For the action of the outer automorphism group of the rank two free group on the corresponding variety of PSL(2,C) characters, two domains of discontinuity have been known to exist that are strictly larger than the set of Schottky characters. One is introduced by Bowditch in 1998 (followed by Tan, Wong and Zhang in 200…