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 static vacuum metrics confirmed for near Euclidean boundary data.
Extends static vacuum metrics with specific boundary conditions.
Proves existence of static vacuum metrics with specific boundary data.
Existence proved for static vacuum extensions near Schwarzschild spheres.
Geometric flow method finds static extensions for axisymmetric data.
Paper derives formulas for static Einstein spaces, linking Neumann data to stability.
We study solutions to the static vacuum Einstein equations on exterior domains with prescribed metric and mean curvature on the inner boundary. It is proved that for any such boundary data near the standard round boundary data in Euclidean space, there exists a unique AF solution to the static vacuum equations realizin…
Estimates mass of static vacuum metrics with small Bartnik data.
Marginally outer trapped surfaces are widely considered as the best quasi-local replacements for event horizons of black holes in General Relativity. However, this equivalence is far from being proved, even in stationary and static situations. In this paper we study an important aspect of this equivalence, namely wheth…
TASTE combines static and temporal data for phenotyping EHRs.
Paper presents a machine learning algorithm for hedging ETF options, outperforming static hedging methods.
The study finds static solutions in symplectic curvature flow in 4D.
Paper proves rigidity of static manifolds and applies to metric extensions.
We generalize Brendle's geometric inequality considered in \cite{B} to static manifolds. The inequality bounds the integral of inverse mean curvature of an embedded mean-convex hypersurface by geometric data of the horizon. As a consequence, we obtain a reverse Penrose inequality on static asymptotically locally hyperb…
Ricci flows on a torus converge to a doubled area static metric.
Maximizes capacity of extensions with fixed boundary data.
Study classifies static potentials on 3-manifolds, proving one-dimensionality under specific conditions.
Model precision in a classification task is highly dependent on the feature space that is used to train the model. Moreover, whether the features are sequential or static will dictate which classification method can be applied as most of the machine learning algorithms are designed to deal with either one or another ty…
We develop a framework for understanding the existence of asymptotically flat solutions to the static vacuum Einstein equations with prescribed boundary data consisting of the induced metric and mean curvature on a 2-sphere. A partial existence result is obtained, giving a partial resolution of a conjecture of Bartnik …
Study improves feature acquisition for static settings in AFAPE.
We analyse the issue of uniqueness of solutions of the static vacuum Einstein equations with prescribed geometric or Bartnik boundary data. Large classes of examples are constructed where uniqueness fails. We then discuss the implications of this behavior for the Bartnik quasi-local mass. A variational characterization…
We develop a solution theory for a generalized electro-magneto static Maxwell system in an exterior domain with anisotropic coefficients converging at infinity with a certain rate towards the identity. Our main goal is to treat right hand side data from some polynomially weighted Sobolev spaces and obtain solutions whi…
In this paper we study some global properties of static potentials on asymptotically flat -manifolds in the nonvacuum setting. Heuristically, a static potential represents the (signed) length along of an irrotational timelike Killing vector field, which can degenerate on surfaces corresponding to the…
Global properties of maximal future Cauchy developments of stationary, m-dimensional asymptotically flat initial data with an outer trapped boundary are analyzed. We prove that, whenever the matter model is well posed and satisfies the null energy condition, the future Cauchy development of the data is a black hole spa…
DGRCL integrates dynamic and static graph relations for financial market prediction.
Motivated by problems related to quasi-local mass in general relativity, we study the static metric extension conjecture proposed by R. Bartnik \cite{Bartnik_energy}. We show that, for any metric on that is close enough to the Euclidean metric and has reflection invariant boundary data, there always exists …
QLBS and RLOP methods improve option pricing and hedging performance.
Based on the daily data of American and Chinese stock markets, the dynamic behavior of a financial network with static and dynamic thresholds is investigated. Compared with the static threshold, the dynamic threshold suppresses the large fluctuation induced by the cross-correlation of individual stock prices, and leads…
This is the second article of a series or two, proving a generalisation of the uniqueness theorem of the Schwarzschild solution. The theorem to be shown classifies all (metrically complete) solutions of the static vacuum Einstein equations with compact but non-necessarily connected horizon without any further assumptio…
The main aim of this thesis is to study the properties of trapped surfaces in spacetimes with symmetries and their possible relation with the theory of black holes. We will concetrate specially on one aspect of this possible equivalence, namely whether the static black hole uniqueness theorems extend to static spacetim…
In many practical applications of clustering, the objects to be clustered evolve over time, and a clustering result is desired at each time step. In such applications, evolutionary clustering typically outperforms traditional static clustering by producing clustering results that reflect long-term trends while being ro…
We classify static manifolds which admit more than one static decomposition whenever a condition on the curvature is fullfilled. For this, we take a standard static vector field and analyze its associated one parameter family of projections onto the base. We show that the base itself is a static manifold and the warpin…
Study of 3D vacuum static spaces with specific curvature properties.
Paper finds exact solutions for static fluids with symmetries.
New rigidity theorem on static manifolds with boundary.
Geometric inequalities for static convex domains in hyperbolic space proved.
The paper classifies vacuum static spaces with harmonic curvature.
The paper investigates geometrical aspects of static spacetime with almost gradient Ricci solitons.
The study proves geometric inequalities for static convex domains in static rotationally symmetric spaces.
Proves equality in Minkowski inequality for static, flat manifolds.
Physics-informed methods infer spatial dynamics from static snapshots, but limits exist.
Employing profits data of Japanese firms in 2003--2005, we kinematically exhibit the static log-normal distribution in the middle scale region. In the derivation, a Non-Gibrat's law under the detailed balance is adopted together with following two approximations. Firstly, the probability density function of profits gro…
Researchers found specific conformal groups for Einstein static universe models.
In the Cauchy problem for asymptotically flat vacuum data the solution-jets along the cylinder at space-like infinity develop in general logarithmic singularities at the critical sets at which the cylinder touches future/past null infinity. The tendency of these singularities to spread along the null generators of null…
Proves stability of spacetime Penrose inequality for spherical symmetric initial data.
We consider Killing vector fields on standard static space-times and obtain equations for a vector field on a standard static space-time to be Killing. We also provide a characterization of Killing vector fields on standard static space-times with compact Riemannian parts.
Analyzing static solutions in Finsler gravity, extending known results.
Paper derives Riccati equation for static spaces and proves its applications.