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 geometric relations between submanifolds of arbitrary codimension.
We prove that a transversely equicontinuous minimal lamination on a locally compact metric space has a transversely invariant Radon measure. Moreover if the space is compact, then the tranversely invariant Radon measure is shown to be unique up to a scaling.
Study the structure of Kähler foliations with negative Ricci curvature.
We prove a geometrically meaningful stochastic representation of the derivative of the heat semigroup on sub-Riemannian manifolds with tranverse symmetries. This representation is obtained from the study of Bochner-Weitzenbock type formulas for sub-Laplacians on 1-forms. As a consequence, we prove new hypoelliptic heat…
A measured solenoid is a laminated space endowed with a tranversal measure invariant by holonomy, as defined in arXiv:0910.2836. A measured solenoid immersed in a smooth manifold produces a closed current (known as generalized Ruelle-Sullivan current). Uniquely ergodic solenoids are those for which there is a unique (u…
The paper explores families of almost complex structures and transverse (p,p)-forms.