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.
Article explores Thurston's circle packing theorem in 3-manifold geometry.
Golden age of mathematical finance in the late 20th century.
We consider a local algebra A (in the sense of André Weil), M a smooth paracompact manifold and M^{A} the manifold of infinietly near points on M of kind A. In this paper, we define and study the notions of A-Jacobi structures on M^{A}.
Let be either or the one point blow-up $\cp# \bcp$ of $\cp$. In both cases carries a family of symplectic forms $\om_\la$, where $\la > -1$ determines the cohomology class $[\om_\la]$. This paper calculates the rational (co)homology of the group $G_\la$ of symplectomorphisms of $(M,\om_\la)$ as …
We analyze empirical data from the internet auction site Aukro.cz. The time series of activity shows truncated fractal structure on scales from about 1 minute to about 1 day. The distribution of waiting times as well as the distribution of number of auctions within fixed interval is a power law, with exponents an…
Thirty years after the birth of foliations in the 1950's, André Haefliger has introduced a special property satisfied by holonomy pseudogroups of foliations on compact manifolds, called compact generation. Up to now, this is the only general property known about holonomy on compact manifolds. In this article, we give a…
Nous donnons une méthode naturelle, que nous appelons {\it "la méthode des façons"} pour stratifier la variété asymptotique associée à une application polynomiale dominante . La stratification obtenue est différentiable et satisfait la propriété de frontière.
LA-Courant algebroids link double Lie bialgebroids via Manin triples.
Let be a smooth closed hypersurface with non-negative Ricci curvature, isometrically immersed in a space form. It has been proved in \cite{P}, \cite{CZ}, and \cite{C2} that there are some inequalities on which measure the stability of closed umbilical hypersurfaces or more generally, closed hypersurfaces …
Identifies LA-groups via VB-group structure and complementary actions.
The theory of spinors is developed for locally anisotropic (la) spaces, in brief la-spaces, which in general are modeled as vector bundles provided with nonlinear and distinguished connections and metric structures (such la-spaces contain as particular cases the Lagrange, Finsler and, for trivial nonlinear connections,…
Let M be a smooth manifold, A a local algebra in sense of André Weil, M^{A} the manifold of near points on M of kind A and X(M^{A}) the module of vector fields on M^{A}. We give a new definition of vector fields on M^{A} and we show that X(M^{A}) is a Lie algebra over A. We study the cohomology of A-differential forms.
Defines basic sections of LA-groupoids for simpler modeling.
New examples of distorted interval diffeomorphisms found.
This paper presents practical methods for portfolio selection in investments.
New volume comparison theorem for gradient Ricci almost solitons.
Let (ρ_\la)_{\la\in \La} be a holomorphic family of representations of a surface group π_1(S) into PSL(2,C), where S is a topological (possibly punctured) surface with negative Euler characteristic. Given a structure of Riemann surface of finite type on S we construct a bifurcation current on the parameter space \La, t…
Simplified definition of LA-Courant algebroids and Poisson Lie 2-algebroids.
We show that some curvature operators are locally invertible, in some weithted sobolev spaces, near the euclidian metric. (Nous montrons que certains opérateurs affines en la courbure de Ricci sont localement inversibles, dans des espaces de Sobolev à poids, au voisinage de la métrique euclidienne.)
Defines Learning Analytics' foundational structure and scope.
LA-VDM accelerates VDM using landmarks to improve data analysis.
Laplace approximation improves deep learning efficiency without sacrificing performance.
The notion of highly structured ring spectra of prime characteristic is made precise and is studied via the versal examples S//p for prime numbers p. These can be realized as Thom spectra, and therefore relate to other Thom spectra such as the unoriented bordism spectrum MO. We compute the Hochschild and André-Quillen …
This paper deals with naturally reductive pseudo-Riemannian 2-step nilpotent Lie groups $(N, \la \,,\,\ra_N)$, such that $\la \,,\,\ra_N$ is invariant under a left action. The case of nondegenerate center is completely characterized. In fact, whenever $\la \,,\, \ra_N$ restricts to a metric in the center it is proved h…
We categorify the coefficients of the Burau representation matrix using elementary geometrical methods. We show the faithfulness of this categorification in the sense that it detects the trivial braid.
We give characterizations of asymptotic arbitrage of the first and second kind and of strong asymptotic arbitrage for large financial markets with small proportional transaction costs $\la_n$ on market in terms of contiguity properties of sequences of equivalent probability measures induced by $\la_n$--consistent p…
Paper predicts interference for better LA in URLLC.
La-MAML improves fast online continual learning with a look-ahead approach.
We give a complete proof of the fact that the trace of the curvature of the connection associated to a planar d-web (d>3) is the sum of the Blaschke curvatures of its sub 3-webs.
Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete classification of discrete vector bundles over finite simplicial complexes. In particular,…
Given a closed subset $\La$ of the open unit ball , , we will consider a complete Riemannian metric on $\bar{B_1} \setminus \La$ of constant scalar curvature equal to and conformally related to the Euclidean metric. In this paper we prove that every closed Euclidean ball $\bar…
In this note a functorial approach to the integration problem of an LA-groupoid to a double Lie groupoid is discussed. To do that, we study the notions of fibred products in the categories of Lie groupoids and Lie algebroids, giving necessary and sufficient conditions for the existence of such. In particular, it turns …
We study Bott-Chern and Aeppli cohomologies of a vector space endowed with two anti-commuting endomorphisms whose square is zero. In particular, we prove an inequality à la Frölicher relating the dimensions of the Bott-Chern and Aeppli cohomologies to the dimensions of the Dolbeault cohomologies. We prove that the equa…
Recent advances in conditional recurrent language modelling have mainly focused on network architectures (e.g., attention mechanism), learning algorithms (e.g., scheduled sampling and sequence-level training) and novel applications (e.g., image/video description generation, speech recognition, etc.) On the other hand, …
VSML unifies meta learning concepts and enables simple backpropagation.
We study the systolic area (defined as the ratio of the area over the square of the systole) of the 2-sphere endowed with a smooth riemannian metric as a function of this metric. This function, bounded from below by a positive constant over the space of metrics, have the standard metric for critic point, althoug…
For a Riemannian polyhedra, we study the geometry of the unit ball for the unidimensional stable norm (stable ball). In the case of a unidimensional Riemannian polyhedra (graph), we show that the stable ball is a polytope whose vertices are completely described by combinatorial properties of the graph. We study then th…
This text explains how fiber bundle structure is fundamental for classical physics.
We propose a Las Vegas transformation of Markov Chain Monte Carlo (MCMC) estimators of Restricted Boltzmann Machines (RBMs). We denote our approach Markov Chain Las Vegas (MCLV). MCLV gives statistical guarantees in exchange for random running times. MCLV uses a stopping set built from the training data and has maximum…
We prove that the metric completion of a canonical Ricci-flat Kahler metric on the nonsingular part of a projective Calabi-Yau variety with ordinary double point singularities, is a compact metric length space homeomorphic to the projective variety itself. As an application, we prove a conjecture of Candelas an…
Establishes a Li-Yau type inequality for curves in any codimension.
LA-MCTS learns search space partition for black-box optimization using Monte Carlo Tree Search.
We define a nonnegative integer $\la(L,L_0;φ)$ for a pair of diffeomorphic closed Lagrangian surfaces embedded in a symplectic 4-manifold $(M,\w)$ and a diffeomorphism $φ\in\Diff^+(M)$ satisfying . We prove that if there exists $φ\in\Diff^+_o(M)$ with and $\la(L,L_0;φ)=0$, then are …
Anatomical and biophysical modeling of left atrium (LA) and proximal pulmonary veins (PPVs) is important for clinical management of several cardiac diseases. Magnetic resonance imaging (MRI) allows qualitative assessment of LA and PPVs through visualization. However, there is a strong need for an advanced image segment…
An equivariant bundle gerbe à la Meinrenken over a -manifold is known to be a special type of -gerbe over the differentiable stack . We prove that the natural morphism relating the Cartan and simplicial models of equivariant cohomology in degree 3 maps the Dixmier-Douady class of an equivariant bundl…
Study on Borel Anosov subgroups in SL(d,R) for d≠5,8k±1.
Study improves sugarcane plot prediction using data interpolation.
This paper shows the equivalence of the categories of -manifolds of degree with the category of double vector bundles endowed with a linear metric. Split Poisson -manifolds of degree are shown to be equivalent to self-dual representations up to homotopy. As a consequence, the equivalence above induces an …