arXiv research

The study explores slant submanifolds in Golden Riemannian manifolds.

This paper reviews golden Riemannian manifolds over the past decade.

The abstract introduces golden Finsler structures and explores their local and global properties.

In this work, almost product and almost golden structures are studied. Conditions for those structures being Integrable and parallel are investigated. Also harmonicity of a map between almost pruduct or almost golden manifolds with pure or hyperbolic metric is discussed under certain conditions.

Study lightlike submanifolds in Golden Semi-Riemannian geometry.

An almost Golden Riemannian structure $(\varphi ,g)$ on a manifold is given by a tensor field $\varphi$ of type (1,1) satisfying the Golden section relation $\varphi ^{2}=\varphi +1$, and a pure Riemannian metric $g$, i.e., a metric satisfying $g(\varphi X,Y)=g(X,\varphi Y)$. We study connections adapted to such a str…

Study on CR-lightlike submanifolds in golden semi-Riemannian manifolds.

Golden ratio found on odd genus nonorientable surfaces.

The study explores properties of slant and semi-slant submanifolds in metallic Riemannian manifolds.

Golden L surface has unbounded bunching of saddle connections

Study the geometry of specific submanifolds in Golden Semi-Riemannian manifolds.

Talked about the Veech group of a specific surface.

Study on submanifolds in metallic Riemannian manifolds.

Study properties of hemi-slant submanifolds in metallic Riemannian manifolds.

The flow and Yamada polynomials of cubic graphs are studied, extending known identities and conjectures.

Golden age of mathematical finance in the late 20th century.

The paper proposes incentivizing human annotators with 'golden questions' to improve data quality.

We briefly review selected contributions to immersion-theoretic topology, from S. Smale's immersion theory for spheres to M. Gromov's convex integration theory, during the early "golden" period from about 1959-1973. Historical remarks are included and technical concepts are presented informally.

We give an explicit formula for the limiting gap distribution of slopes of saddle connections on the golden L, or any translation surface in its SL(2, R)-orbit, in particular the double pentagon. This is the first explicit computation of the distribution of gaps for a flat surface that is not a torus cover.

The paper explores metallic structures on manifolds using a special ratio.

Improved variational inequality algorithms using adaptive step sizes.

Study metallic Riemannian structures on submanifolds of Riemannian manifolds.

New geometric structures derived from Hessian metrics and tensors.

Sum of Lagrange numbers equals a specific formula.

A novel SVR parameter optimization method using GSA outperforms other meta-heuristics in stock market forecasting.

The study of pseudo-Anosov maps with minimum expansion factor using train tracks.

Study periodic points on genus two surfaces, solving dynamics and geometry problems.

The study proves unique harmonic functions and combinatorial properties of vertex-transitive graphs.

The study improves bounds on pseudo-Anosov maps and certifies minimum and accumulation points of normalized dilatations.

Generative network integrates into ROM for PDEs, matching measurements and estimating uncertainties.

Abstract: Topological quantum field theory connects graph evaluations to polynomial identities.

In this paper, we find all constant slope surfaces in the Euclidean 3-space, namely those surfaces for which the position vector of a point of the surface makes constant angle with the normal at the surface in that point. These surfaces could be thought as the bi-dimensional analogue of the generalized helices. Some pi…

This work introduces significativity indices for agreement values between classifiers.

This paper introduces a conceptual framework, in the context of quantum topology and the algebras underlying it, for analyzing relations obeyed by the chromatic polynomial χ(Q) of planar graphs. Using it we give new proofs and substantially extend a number of classical results concerning the combinatorics of the chroma…

This paper gives mathematical models for flat knotted ribbons, and makes specific conjectures for the least length of ribbon (for a given width) needed to tie the trefoil knot and the figure eight knot. The first conjecture states that (for width one) the least length of ribbon needed to tie an open-ended trefoil knot …

Design interventions to learn causal structure from observational data.

In this paper, the second in a series of eight we continue our development of the basic tools of the multivector and extensor calculus which are used in our formulation of the differential geometry of smooth manifolds of arbitrary topology . We introduce metric and gauge extensors, pseudo-orthogonal metric extensors, g…

The paper analyzes the reward improvement of aligned policies in large language models.

New formulas for knot polynomial evaluations from covering spaces.

We present a modification of the so-called Parrondo's paradox where one is allowed to choose in each turn the game that a large number of individuals play. It turns out that, by choosing the game which gives the highest average earnings at each step, one ends up with systematic loses, whereas a periodic or random seque…

This paper studies the empirical tracking performance of leveraged ETFs on gold, and their price relationships with gold spot and futures. For tracking the gold spot, we find that our optimized portfolios with short-term gold futures are highly effective in replicating prices. The market-traded gold ETF (GLD) also exhi…

AI uses KGs to assess economic impact of selective lockdowns on Italian companies.

Paper speeds up SVM training by 44% with a lookup method.

Using the mechanics of creep in material sciences as a metaphor, we present a general framework to understand the evolution of financial, economic and social systems and to construct scenarios for the future. In a nutshell, highly non-linear out-of-equilibrium systems subjected to exogenous perturbations tend to exhibi…

The paper calculates gap distributions for translation surfaces, focusing on the double heptagon.

This is the first paper in a series (of four) designed to show how to use geometric algebras of multivectors and extensors to a novel presentation of some topics of differential geometry which are important for a deeper understanding of geometrical theories of the gravitational field. In this first paper we introduce t…

In this paper, we develop a new accelerated stochastic gradient method for efficiently solving the convex regularized empirical risk minimization problem in mini-batch settings. The use of mini-batches is becoming a golden standard in the machine learning community, because mini-batch settings stabilize the gradient es…

Paper proposes algorithms to minimize both dynamic and adaptive regret simultaneously.