Results 41 to 50 of about 251 (157)
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 587-602, August 2026.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
, 2011 In the present paper, we discuss some recent versions of localization methods for calculations in the groups of points of algebraic-like and classical-like groups.
Zhang, Zuhong +9 more
core +1 more source
Temporal Interference Stimulation Enhances Neural Regeneration
Advanced Science, Volume 13, Issue 37, 3 July 2026.Temporal interference (TI) stimulation is proposed as a non‐invasive approach to enhance neural regeneration in the deep brain. Theta‐band TI modulation selectively promotes neural progenitor cell differentiation in vitro and augments hippocampal neurogenesis in amouse model of Alzheimer's disease‐like amyloidosis.
Sofia Peressotti +15 more
wiley +1 more source
Tensor products and homotopies for ω-groupoids and crossed complexes
, 1987 Crossed complexes have longstanding uses, explicit and implicit, in homotopy theory and the cohomology of groups. It is here shown that the category of crossed complexes over groupoids has a symmetric monoidal closed structure in which the internal Hom ...
Brown, Ronald, Higgins, Philip J.
core +1 more source
Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
wiley +1 more source
A new functional calculus for noncommuting operators
Journal of Functional Analysis, 2008 In this paper we use the notion of slice monogenic functions \cite{slicecss} to define a new functional calculus for an $n$-tuple $T$ of not necessarily commuting operators. This calculus is different from the one discussed in \cite{jefferies} and it allows the explicit construction of the eigenvalue equation for the $n$-tuple $T$ based on a new notion
Struppa, D. +5 more
openaire +5 more sources
Developmental Neurobiology, Volume 86, Issue 3, July 2026.ABSTRACT Rett syndrome is a neurodevelopmental disorder caused by an X‐linked mutation of the MeCP2 gene. Individuals with Rett syndrome, as well as rodent models of this disorder, demonstrate abnormal cortical responses to sound, which impair auditory discrimination ability.
Isabella K. Myers +6 more
wiley +1 more source
Itô’s stochastic calculus and Heisenberg commutation relations
Stochastic Processes and their Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, Volume 43, Issue 4, Page 1344-1363, July/August 2026.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
On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
wiley +1 more source