Results 61 to 70 of about 4,257,446 (215)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.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
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
On the Exterior Degree of a Finite-Dimensional Lie Algebra
Journal of MathematicsIn this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.
Afsaneh Shamsaki +2 more
doaj +1 more source
On the commutativity degree of metacyclic groups of 5-power order using conjugation action
, 2017 An extension of the concept of commutativity degree named the probability that an element of a group fixes a set was introduced in 2013. Suppose is a metacyclic 5-group and is the set of all ordered pairs (x,y) in G*G such that lcm(|x|,|y|)=5, xy=yx
Siti Norziahidayu Amzee Zamri +4 more
semanticscholar +1 more source
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, EarlyView.ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley +1 more source
An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley +1 more source
Noncommutative Quantum Dynamics for Feature Representation Learning
IEEE AccessWe propose an explicit feature representation for supervised learning derived from short quantum dynamical trajectories composed of generally noncommuting operations, conceptually inspired by reservoir computing in that fixed, untrained dynamics are ...
Hirokazu Shimauchi
doaj +1 more source
Cyclic subgroup commutativity degrees of finite groups [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2018 In this paper we introduce and study the concept of cyclic subgroup commutativity degree of a finite group G . This quantity measures the probability of two random cyclic subgroups of G
Tarnauceanu, Marius +1 more
openaire +2 more sources
Maximal commutative subrings and simplicity of Ore extensions
, 2012 The aim of this article is to describe necessary and sufficient conditions for simplicity of Ore extension rings, with an emphasis on differential polynomial rings. We show that a differential polynomial ring, R[x;id,\delta], is simple if and only if its
Richter, Johan +2 more
core +1 more source
Revisiting Ontology to Reshape Transgenerational Justice
Global Policy, EarlyView.ABSTRACT This article develops a philosophical framework for understanding transgenerationality as a foundational concept for intergenerational justice. Drawing on social ontology and the philosophy of action, it introduces the notion of transgenerational civitas—a temporally extended community composed of past, present and future generations.
Tiziana Andina
wiley +1 more source