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.
The writhe polynomial invariant is proven for virtual knots via shell moves.
A classical result by Pachner states that two -dimensional combinatorial manifolds with boundary are PL homeomorphic if and only they can be connected by a sequence of shellings and inverse shellings. We prove that for balanced, i.e., properly -colored, manifolds such a sequence can be chosen such that bala…
The paper introduces surfaces with constant solid angle for designing shell structures.
Paper proves rigidity estimates for hyperbolic shells and applies them to \(Γ\)-limit theory.
Shells resist three out of six possible loads if simply connected.
Symmetries in shell theory lead to multiple deformation possibilities.
Discrete Morse functions induce shellings with critical tiles corresponding to function's critical faces.
Method designs lightweight, structurally robust shell objects.
New method extends discrete Morse theory to simplicial complexes.
Extends Penrose's method to null shells with pressure and energy flux.
The paper proves rigidity for shells in non-Euclidean spaces.
This paper studies singular improper affine spheres from Lagrangian submanifolds, classifying stable singularities.
We introduce a method to learn a mixture of submodular "shells" in a large-margin setting. A submodular shell is an abstract submodular function that can be instantiated with a ground set and a set of parameters to produce a submodular function. A mixture of such shells can then also be so instantiated to produce a mor…
New concept of effective isometries for compliant shells.
Paper derives formulas for surface variations in shell theory.
We describe an end-to-end real-time S&P futures trading system. Inner-shell stochastic nonlinear dynamic models are developed, and Canonical Momenta Indicators (CMI) are derived from a fitted Lagrangian used by outer-shell trading models dependent on these indicators. Recursive and adaptive optimization using Adaptive …
Off-shell supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkähler with torsion. The off-shell supersymmetry implies that the complex structures are simultaneously integrable and allows us to write actions…
Semichiral sigma models with a four-dimensional target space do not support extended N=(4,4) supersymmetries off-shell arXiv:0903.2376, arXiv:0912.4724. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such model…
NSBI approach detects Higgs trilinear coupling with high luminosity upgrade constraints.
We discuss several issues regarding material homogeneity and strain compatibility for materially uniform thin elastic shells from the viewpoint of a 3-dimensional theory, with small thickness, as well as a 2-dimensional Cosserat theory. A relationship between inhomogeneity and incompatibility measures under the two des…
Optimizing shapes for a specific eigenvalue problem involving two balls.
Study explores kinematics of surfaces under metric restrictions.
FGSV defends against shell company attacks in group data valuation.
We solve the long standing problem of finding an off-shell supersymmetric formulation for a general N = (2, 2) nonlinear two dimensional sigma model. Geometrically the problem is equivalent to proving the existence of special coordinates; these correspond to particular superfields that allow for a superspace descriptio…
Theoretical study explains grokking in neural networks.
For curves of prescribed length embedded into the unit disc in two dimensions, we obtain scaling results for the minimal elastic energy as the length just exceeds and in the large length limit. In the small excess length case, we prove convergence to a fourth order obstacle type problem with integral constraint on…
Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM) in 2 dimensions are examples of the same theory, if their field equations are interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as homotopies of such morphisms. We point out that the (off-shell) gauge symmetries of th…
Study of Kato manifolds and their locally conformally Kähler properties.
Bistable structures associated with non-linear deformation behavior, exemplified by the Venus flytrap and slap bracelet, can switch between different functional shapes upon actuation. Despite numerous efforts in modeling such large deformation behavior of shells, the roles of mechanical and nonlinear geometric effects …
The paper analyzes thin-shell limits for viscous operators on Riemannian hypersurfaces.
In-plane drill rotations are impossible for smooth shells.
Traders in a stock market exchange stock shares and form a stock trading network. Trades at different positions of the stock trading network may contain different information. We construct stock trading networks based on the limit order book data and classify traders into classes using the -shell decomposition m…
We derive a dimensionally-reduced limit theory for an -dimensional nonlinear elastic body that is slender along dimensions. The starting point is to view an elastic body as an -dimensional Riemannian manifold together with a not necessarily isometric -immersion in -dimensional Euclidean space. The…
Motivated by the work of Salvetti and Settepanella we introduce certain total orderings of the faces of any shellable regular CW-complex (called `shelling-type orderings') that can be used to explicitly construct maximum acyclic matchings of the poset of cells of the given complex. Building on an application of this me…
We show that every Kato surface (or surface with a global spherical shell) admits a locally conformally Kaehler metric.
This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition of the surface deformation gradient. The kinematics of this decomposition is examined in detail. In particular, the dependency of various ki…
New spectral sequences derived from shellable tilings.
Boundary effects inflate variance in Gaussian processes, leading to acquisition bias.
New solutions found for bending of flat surfaces and origami structures.
Extends field theory foundations to infinitesimal spaces, simplifying complex concepts.
We investigate three-dimensional surfaces where the normal vector forms a constant angle with the radius vector. These surfaces naturally extend equiangular (logarithmic) spirals in the plane.
Frustration causes buckling-like behavior in tubular foldable mechanisms.
Here we are fixing an output of a trivial calculation based on Konsevich's differential 2-form for the Chern class of polygon bundle. As a result an interesting combinatorics and arithmetics jumps right out of a jukebox. The calculation gives very simple rational combinatorial characteristics (we call it "curvature") o…
11D supergravity completes with quantized C-field flux.
Product of shellable complexes yields shellable triangulations under tameness conditions.
10D IIA Superspace is put on shell by imposing duality-symmetric Bianchi identities on super-flux densities.
We study for which polynomials a thin shell wormhole with a continuous metric (connecting two Schwarzschild spacetimes of the same mass) satisfy the null energy condition (NEC) in -gravity. We avoid junction conditions by using the mathematical framework of the Colombeau algebra which describes a generalized …
Paper constructs solutions to a system using Aeppli class without auxiliary gauge connection.