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.
New embeddings show answer to Baker-Laidacker question can be yes or no.
New Cantor sets with high-dimensional projections discovered.
For every finitely generated abelian group G, we construct an irreducible open 3-manifold whose end set is homeomorphic to a Cantor set and with end homogeneity group of isomorphic to G. The end homogeneity group is the group of self-homeomorphisms of the end set that extend to homeomorphisms of the 3-m…
Every countable compact subset of sphere is tame.
A classical result by Marston Morse asserts that on some ellipsoids of there exists exactly 3 closed and simple geodesics. The goal of this presentation is to prove that this rigidity result does not extend to higher dimensions and, more precisely, on any smooth closed riemannian manifod of arbitrary di…
We found a new simple family of Cantor sets whose projections are one-dimensional.
Let be the limit set of a conformal dynamical system, i.e. a Kleinian group acting on either finite- or infinite-dimensional real Hilbert space, a conformal iterated function system, or a rational function. We give an easily expressible sufficient condition, requiring that the limit set is not too much bigger than …
The paper constructs wild Cantor sets in high dimensions.
Decomposition theory explores topological spaces and their quotient spaces.
All projections of typical Cantor sets in high dimensions are Cantor sets.