Results 71 to 80 of about 230,209 (162)

Growth problems in diagram categories

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

Quantum Register Algebra: the mathematical language for quantum computing

open access: green, 2022
Jaroslav Hrdina   +7 more
openalex   +2 more sources

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta   +2 more
wiley   +1 more source

From Monge to Higgs: a survey of distance computations in noncommutative geometry

open access: yes, 2016
This is a review of explicit computations of Connes distance in noncommutative geometry, covering finite dimensional spectral triples, almost-commutative geometries, and spectral triples on the algebra of compact operators.
Martinetti, Pierre
core  

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad   +1 more
wiley   +1 more source

Noncommutative spaces with twisted symmetries and second quantization

open access: yes, 2010
In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an external field may ...
Fiore, Gaetano
core  

Quantum Computing in Industrial Internet of Things (IIoT) Forensics: Framework, Implications, Opportunities, and Future Directions

open access: yesWIREs Forensic Science, Volume 7, Issue 3, September 2025.
Generic Quantum‐Safe IIoT Forensics Framework (QS‐IIoT‐F) ABSTRACT The continuous evolution of quantum computing has shown novel and transformative possibilities and critical implications for the Industrial Internet of Things (IIoT) forensic processes.
Victor R. Kebande
wiley   +1 more source

AI in Neurology: Everything, Everywhere, All at Once Part 1: Principles and Practice

open access: yesAnnals of Neurology, Volume 98, Issue 2, Page 211-230, August 2025.
Artificial intelligence (AI) is rapidly transforming healthcare, yet it often remains opaque to clinicians, scientists, and patients alike. This review, part 1 of a 3‐part series, provides neurologists and neuroscientists with a foundational understanding of AI's key concepts, terminology, and applications.
Matthew Rizzo, Jeffrey D. Dawson
wiley   +1 more source

On the Need for Fractal Logic in High Energy Quantum Physics

open access: yes, 2012
Modern advances in pure mathematics and particularly in transfinite set theory have introduced into the fundamentals of theoretical physics many novel concepts and devices such as fractal quasi manifolds with non-integer (Hausdorff) dimension for its ...
M. Naschie   +5 more
semanticscholar   +1 more source

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