Results 91 to 100 of about 9,754 (219)

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Cohomology of D-complex manifolds [PDF]

, 2012
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella, Rossi, Federico Alberto, Federico Alberto Rossi, Angella, Daniele, Angella, D   +4 more
core   +1 more source

Determining Levels of Affective States with Riemannian Geometry Applied to EEG Signals

Applied Sciences
Emotion recognition from electroencephalography (EEG) often relies on Euclidean features that ignore the curved geometry of covariance matrices. We introduce a Riemannian-manifold pipeline which, combined with the Fisher Geodesic Minimum Distance to Mean
Agnieszka Wosiak, Anita Tereszczuk, Katarzyna Żykwińska   +2 more
doaj   +1 more source

Fubini‐Study Metric Tensor Evolution and Reduced State Distinguishability in Geometry‐Aware Optimization for Reliable Near‐Term Variational Quantum Eigensolvers

International Journal of Quantum Chemistry, Volume 126, Issue 13, July 5, 2026.
During optimization via the quantum natural gradient in a variational quantum eigensolver, the evolution of the Fubini‐Study metric suppresses irrelevant parameter directions and reduces state distinguishability near the ground state. ABSTRACT The lack of both a consistently effective and broadly reliable classical optimizer for variational quantum ...
Dwi Cahyo Mariyanto, Hadyan L. Prihadi, Angga Dito Fauzi, L. T. Handoko, Yanoar P. Sarwono, Rui‐Qin Zhang   +5 more
wiley   +1 more source

Spectral Geometry for Structural Pattern Recognition [PDF]

, 2010
Graphs are used pervasively in computer science as representations of data with a network or relational structure, where the graph structure provides a flexible representation such that there is no fixed dimensionality for objects. However, the analysis
El Ghawalby, Heyayda, El Ghawalby, Hewayda   +1 more
core  

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

Geometric control theory and sub-Riemannian geometry [PDF]

, 2014
This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability ...
Sigalotti, Mario, Gauthier, Jean-Paul, Stefani, Gianna, Boscain, Ugo, Sarychev, Andrey   +4 more
core   +3 more sources

On some synthetic curvature conditions in sub-Riemannian geometry [PDF]

, 2023
reservedIn recent years there has been much interest in generalizing the notion of Ricci curvature to spaces more general than Riemannian manifolds. In one direction some differential invariants generalizing the Ricci tensor have been introduced for ...
STERZI, DARIO
core  

On area comparison and rigidity involving the scalar curvature [PDF]

In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
core