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 on stability of surfaces in null cones under area-preserving variations.
Weyl's tube formula holds for various cross-sections under symmetry conditions.
Let M be a complete Riemannian manifold whose sectional curvature is bounded above by 1. We say that M has positive spherical rank if along every geodesic one hits a conjugate point at t=π. The following theorem is then proved: If M is a complete, simply connected Riemannian manifold with upper curvature bound 1 and po…
Study confirms conjectures on Ricci limit spaces and their topological properties.
New invariant measures doubly slice links, disproving previous bounds.
We analyze the asymptotic behavior of a -dimensional integral current which is almost minimizing in a suitable sense at a singular point. Our analysis is the second half of an argument which shows the discreteness of the singular set for the following three classes of -dimensional currents: area minimizing in Rie…
We construct Lipschitz -valued functions which approximate carefully integral currents when their cylindrical excess is small and they are almost minimizing in a suitable sense. This result is used in two subsequent works to prove the discreteness of the singular set for the following three classes of -dimensiona…
We construct a branched center manifold in a neighborhood of a singular point of a -dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of -dimensional curren…
The paper proves the existence and uniqueness of Calabi-Yau metrics on affine spherical varieties.
In the previous article we derived a detailed asymptotic expansion of the heat trace for the Laplace-Beltrami operator on functions on manifolds with conic singularities. In this article we investigate how the terms in the expansion reflect the geometry of the manifold. Since the general expansion contains a logarithmi…
We consider -dimensional integer rectifiable currents which are almost area minimizing and show that their tangent cones are everywhere unique. Our argument unifies a few uniqueness theorems of the same flavor, which are all obtained by a suitable modification of White's original theorem for area minimizing currents…
We study critical points of holomorphic sections of $\ocal(m)$ on $\CP^n$. For quadrics, we give a complete discription of their critical points. When , we prove a spherical Gauss-Lucas theorem. For general situation, we prove that a general section has all its critical points isolated and non-degenerate.
In this paper we are dealing with mean curvature flow with surgeries of two-convex hypersurfaces. The main focus is to expand on the discussion in Section of Mean Curvature Flow with Surgeries of Two-Convex Hypersurfaces by Huisken and Sinestrari. Firstly we wish to establish how the neck detection lemma allows us …
Method for factor analysis in short panels without assuming sphericity or Gaussianity.
A new method tracks retinal vessels more accurately than existing methods.
We show that the maximal number of singular moves required to pass between any two regularly homotopic planar or spherical curves with at most n crossings, grows quadratically with respect to n. Furthermore, this can be done with all curves along the way having at most n+2 crossings.
The paper defines cross-section continuity for angular momentum definitions and finds the CWY definition valid.
We resolve parts (A) and (B) of Problem 1.100 from Kirby's list by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed cross-sections, including unknotted Lagrangian disks with nontriv…
We prove that closed manifolds admitting a generic metric whose sectional curvature is locally quasi-constant are graphs of space forms. In the more general setting of QC spaces where sets of isotropic points are arbitrary, under suitable positivity assumption and for torsion-free fundamental groups they are still diff…
Proves positive mass theorem for AF spin manifolds with conical singularities.
The study identifies flat manifolds with unique cusp cross-sections in arithmetic hyperbolic manifolds.
New algorithm improves asset ranking for better cross-sectional portfolios.
Set-Sequence model learns cross-sectional dynamics directly from time series data.
Conditions for flat manifolds as cusp cross-sections in arithmetic hyperbolic manifolds.
TQA improves prediction intervals for time series data by adjusting quantiles for both cross-sectional and longitudinal coverage.
The paper evaluates forecast accuracy of realized volatility measures in large cross-sections.
CPTD improves prediction intervals in time series regression with cross-sectional data.
Unified model learns from both time-series and cross-sectional momentum features.
It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical spaces through a certain linear equation involving the coefficients that dictate the RM frame motion (da Silva, da Silva in Mediterr J Math …
Complete classification of knotoids up to seven crossings.
We construct large families of initial data sets for the vacuum Einstein equations with positive cosmological constant which contain exactly Delaunay ends; these are non-trivial initial data sets which coincide with those for the Kottler-Schwarzschild-de Sitter metrics in regions of infinite extent. From the purely Rie…
New tests for identifying the number of latent factors in short panels with small time dimensions.
Motivated by a question of Hirzebruch on the possible topological types of cusp cross-sections of Hilbert modular varieties, we give a necessary and sufficient condition for a manifold M to be diffeomorphic to a cusp cross-section of a Hilbert modular variety. Specialized to Hilbert modular surfaces, this proves that e…
The paper proves conditions for a manifold to be homeomorphic to a spherical space form.
Uniqueness theorem for extremal charged black holes in de Sitter space.
Fixed points of mean section operators found in convex bodies.
A family of TQFTs parametrised by G-crossed braided spherical fusion categories has been defined recently as a state sum model and as a Hamiltonian lattice model. Concrete calculations of the resulting manifold invariants are scarce because of the combinatorial complexity of triangulations, if nothing else. Handle deco…
The present paper considers volume formulae, as well as trigonometric identities, that hold for a tetrahedron in 3-dimensional spherical space of constant sectional curvature +1. The tetrahedron possesses a certain symmetry: namely rotation through angle in the middle points of a certain pair of its skew edges.
Classifies Nil 3-manifolds as cross-sections of complex hyperbolic surfaces.
Geodesic loops on tetrahedra are studied in spherical and hyperbolic spaces.
Machine learning portfolios perform well with simple imputation of missing data.
Simple bounds show most cross-sectional predictability findings are likely true.
Paper uses HPCA for better stock correlation modeling.
We study a cross-ratio of four generic points of which comes from spherical CR geometry. We construct a homomorphism from a certain group generated by generic configurations of four points in to the pre-Bloch group $\mathcal {P}(\C)$. If is a -dimensional spherical CR manifold with a CR triangulation…
PRISM-VQ combines financial priors with vector quantization for better stock prediction.
The present paper is devoted to some results concerning with the complete lifts of an almost complex structure and a connection in a manifold to its (0,q)-tensor bundle along the corresponding cross-section.
Pricing assets has attracted significant attention from the financial technology community. We observe that the existing solutions overlook the cross-sectional effects and not fully leveraged the heterogeneous data sets, leading to sub-optimal performance. To this end, we propose an end-to-end deep learning framework t…
The main purpose of present paper is to study the affine connection induced from the horizontal lift on the cross-section determined by a vector field in Mn with respect to the adapte frame of .