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.
Compact leaves with amenable groups are stable under small perturbations.
We give a topological stability result for the action of the fundamental group of a compact manifold of negative curvature on its boundary at infinity: any nearby action of this group by homeomorphisms of the sphere is semi-conjugate to the standard boundary action. Using similar techniques we prove a global rigidity r…
The category was first defined and explored by Sam-Snowden. Here, we develop more of the machinery of -modules and find numerous examples to apply it to, extending the work of Church-Ellenberg-Farb and Wilson. In particular we develop a notion of character polynomials for -…
New insights explain why -VAEs fail at disentanglement.
Stability of hypersurface immersions in Riemannian manifolds proved for perturbations.
We initiate a series of works where we study the interior of dynamical rotating vacuum black holes without symmetry. In the present paper, we take up the problem starting from appropriate Cauchy data for the Einstein vacuum equations defined on a hypersurface already within the black hole interior, representing the exp…
Let be a Morse function on a closed manifold , and be a Riemannian gradient of satisfying the transversality condition. The classical construction (due to Morse, Smale, Thom, Witten), based on the counting of flow lines joining critical points of the function associates to these data the Morse comple…
The paper explores density of stable mappings and their properties.