Results 91 to 100 of about 87,606 (230)

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang, Ting Gao, Jin Guo, Jinqiao Duan   +3 more
wiley   +1 more source

A Survey of Riemannian Contact Geometry

Complex Manifolds, 2019
This survey is a presentation of the five lectures on Riemannian contact geometry that the author gave at the conference “RIEMain in Contact”, 18-22 June 2018 in Cagliari, Sardinia.
Blair David E.
doaj   +1 more source

Riemannian Holonomy Groups of Statistical Manifolds [PDF]

, 2014
Normal distribution manifolds play essential roles in the theory of information geometry, so do holonomy groups in classification of Riemannian manifolds.
Jiu, Lin, Li, Didong, Sun, Huafei, Tao, Chen   +3 more
core  

Riemannian Geometry

, 2013
These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It has more problems and omits the background material. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds. Affine connections, geodesics, torsion and curvature, the exponential
openaire   +2 more sources

Halfspace Depth

WIREs Computational Statistics, Volume 17, Issue 3, September 2025.
The halfspace depth generalizes quantiles to multivariate data. This is a bagplot—a depth‐based analog of a boxplot. It succinctly captures the geometry of the bivariate dataset (blue/red points) and identifies the four red points in the top left corner as deviating from the general pattern of the data.
Stanislav Nagy
wiley   +1 more source

The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry

European Physical Journal C: Particles and Fields
This paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the
B. R. Yashwanth, S. K. Narasimhamurthy, J. Praveen, Manjunath Malligawad   +3 more
doaj   +1 more source

A Comprehensive Review of Golden Riemannian Manifolds

Axioms
In differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M.
Bang-Yen Chen, Majid Ali Choudhary, Afshan Perween   +2 more
doaj   +1 more source

Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold

Journal of Inequalities and Applications, 2018
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
doaj   +1 more source

Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods

Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
wiley   +1 more source

Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations

, 2004
This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups.
Buliga, Marius
core   +1 more source