Results 71 to 80 of about 8,486 (147)

Quantitative Stability of the Poincaré-Wirtinger Inequality in Noncommutative Geometry: Dynamics and the Bost-Connes-Marcolli System

open access: yes
The sharp quantitative stability of the L1-Poincaré-Wirtinger (PW) inequality establishes a fundamental geometric rigidity: the L1-distance to the manifold of extremizers is linearly controlled by the deficit. This paper demonstrates the universality of this stability principle by rigorously establishing its equivalence across three distinct ...
Kokuno, Yumeto   +3 more
openaire   +1 more source

Data assimilation in operator algebras. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Freeman D   +4 more
europepmc   +1 more source

Prime Emergence as Energy-Minimal Attractors in a Dissipative Noncommutative Dynamical System

open access: yes
We introduce a dissipative dynamical framework in which prime numbers arise as asymptotic attractors of a coupled curl–SO(3) evolution. Each prime is represented as a unit axis on S2S^2S2, while composite integers correspond to transient states generated by the noncommutative accumulation of rotations induced by prior primes.
openaire   +3 more sources

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