Results 81 to 90 of about 32,076 (212)

LECTURES ON NONCOMMUTATIVE GEOMETRY [PDF]

open access: yes, 2008
112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry".
openaire   +2 more sources

Average‐Case Matrix Discrepancy: Satisfiability Bounds

open access: yesRandom Structures &Algorithms, Volume 67, Issue 3, October 2025.
ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley   +1 more source

Noncommutative geometry inspired black holes in Rastall gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
Under two different metric ansatzes, the noncommutative geometry inspired black holes (NCBH) in the framework of Rastall gravity are derived and analyzed. We consider the fluid-type matter with the Gaussian-distribution smeared mass density.
Meng-Sen Ma, Ren Zhao
doaj   +1 more source

Bicomplexes, Integrable Models, and Noncommutative Geometry

open access: yes, 2000
We discuss a relation between bicomplexes and integrable models, and consider corresponding noncommutative (Moyal) deformations. As an example, a noncommutative version of a Toda field theory is presented.Comment: 6 pages, 1 figure, LaTeX using amssymb ...
ARISTOPHANES DIMAKIS   +3 more
core   +1 more source

Compressibility Function and Speed of Sound in the Non‐Commutative Quantum Hadrodynamics Type‐I Model for Neutron Stars

open access: yesAstronomische Nachrichten, Volume 346, Issue 7-8, September 2025.
ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez   +2 more
wiley   +1 more source

31Lectures on Noncommutative Geometry

open access: yesActa Polytechnica, 2008
We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative differential forms we pass to K-theory, K-homology and cyclic (co)homology, and we finish with the notion of spectral triples and the spectral action.
A. Sitarz
doaj  

A Spectral-Geometric Formulation of Extended Uncertainty Principles in Quantum Mechanics

open access: yesEast European Journal of Physics
The Heisenberg uncertainty principle is foundational to quantum mechanics, yet its standard formulation is limited to Hilbert space operator commutators.
Balaji Padhy   +3 more
doaj   +1 more source

The Structure of Spacetime and Noncommutative Geometry

open access: yes, 2008
We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to ...
Lizzi, Fedele
core   +1 more source

Twists of twisted generalized Weyl algebras

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2680-2697, September 2025.
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley   +1 more source

Modular curvature for toric noncommutative manifolds

open access: yes, 2015
A general question behind this paper is to explore a good notion for intrinsic curvature in the framework of noncommutative geometry started by Alain Connes in the 80s.
Liu, Yang
core  

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