Results 11 to 20 of about 8,611,490 (324)

Hodge Theory on Metric Spaces [PDF]

open access: yesFoundations of Computational Mathematics, 2011
Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern ...
A. Zomorodian   +40 more
core   +4 more sources

Natural Metric for Quantum Information Theory [PDF]

open access: yesInternational Journal of Quantum Information, 2009
We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative ...
Constantinescu T.   +5 more
core   +4 more sources

Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory [PDF]

open access: yesPhysical Review D, 2023
In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity is described by
Yunyi Dong, Yu-Qiang Liu, Yu-Xiao Liu
semanticscholar   +1 more source

Ginzburg-Landau Theory of Flat-Band Superconductors with Quantum Metric. [PDF]

open access: yesPhysical Review Letters, 2023
Recent experimental studies unveiled highly unconventional phenomena in the superconducting twisted bilayer graphene (TBG) with ultraflat bands, which cannot be described by the conventional BCS theory.
Shuai A. Chen, K. T. Law
semanticscholar   +1 more source

Metric-Affine Gravity as an effective field theory [PDF]

open access: yesAnnals of Physics, 2021
We discuss theories of gravity with independent metric (or frame field) and connection, from the point of view of effective field theory. We count the parity-even Lagrangian terms of dimension up to four and give explicit bases for the independent terms ...
A. Baldazzi, O. Melichev, R. Percacci
semanticscholar   +1 more source

Neutrosophic Triplet Partial g - Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this chapter, neutrosophic triplet partial g - metric spaces are obtained. Then, some definitions and examples are given for neutrosophic triplet partial g - metric space. Based on these definitions, new theorems are given and proved. In addition, it
Memet Şahin   +2 more
doaj   +1 more source

Emergent metric space-time from matrix theory

open access: yesJournal of High Energy Physics, 2022
The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence that the emergent space-time is continuous and infinite
Suddhasattwa Brahma   +2 more
doaj   +1 more source

Interpolative Meir–Keeler Mappings in Modular Metric Spaces

open access: yesMathematics, 2022
Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular ...
Erdal Karapınar   +2 more
doaj   +1 more source

Fixed Point Theory in b-convex Metric Spaces

open access: yesJournal of Harbin University of Science and Technology, 2021
b-metric spaces are a kind of generalized metric spaces,which have attracted extensive attention of scholars at home and abroad in recent years. In this paper,the convex structure is firstly introduced in b-metric spaces,and consequently the notion of ...
LI Chao-bo, CHEN Li-li
doaj   +1 more source

Some Suzuki-type best proximity point results on metric spaces endowed a graph [PDF]

open access: yesJournal of Hyperstructures, 2023
In this paper, the researcher proved the best proximity point theorem for Suzuki type mappings in the setting of metric spaces endowed a graph. In particular, some earlier results in the literature on both best proximity theory and metric fixed point ...
Soomieh Khaleghizadeh
doaj   +1 more source

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