Results 91 to 100 of about 3,060 (235)

The Asymptotic Ratio Set and Direct Integral Decompositions of a Von Neumann Algebra [PDF]

, 1971
The fact that any von Neumann algebra on a separable Hilbert space has an essentially unique direct integral decomposition into factors means that there is a global as well as a local aspect to any partial classification of von Neumann algebras.
Ole A. Nielsen
core   +1 more source

Ultraproducts of von Neumann algebras and ergodicity

Учёные записки Казанского университета: Серия Физико-математические науки, 2018
An ultraproduct of any linear spaces with respect of a non-trivial ultrafilter in an index set is generalization of the non-standard expansion *R of the set of real numbers R.
S.G. Haliullin
doaj  

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
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

An Efficient Quasi‐Static Condensation‐Based Framework for Seismic Analysis of Multi‐Supported Secondary Structures

Earthquake Engineering &Structural Dynamics, Volume 55, Issue 10, Page 2466-2485, August 2026.
ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang, Fengze Li, Xudong Zhi, Nawawi Chouw, Rong Zhang, Feng Fan   +5 more
wiley   +1 more source

Dynamical entropy ofC* algebras and von Neumann algebras

Communications in Mathematical Physics, 1987
In [Acta Math. 134, 289-306 (1975; Zbl 0326.46032)] \textit{A. Connes} and \textit{E. Störmer} defined the concept of dynamical entropy for antomorphism groups of Von Neumann algebras in the tracial case. Here this concept is extended in the general case to C * and Von Neumann algebras covering the relevant cases of physical systems at finite ...
Connes, A., Narnhofer, H., Thirring, W.
openaire   +2 more sources

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

The universal von Neumann algebra of smooth four-manifolds revisited [PDF]

Making use of its smooth structure only, out of a connected oriented smooth $4$-manifold a von Neumann algebra is constructed. It is geometric in the sense that is generated by local operators and as a special four dimensional phenomenon it contains all ...
Etesi, Gabor
core   +2 more sources

Asymptotic freeness in tracial ultraproducts

Forum of Mathematics, Sigma
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in ...
Cyril Houdayer, Adrian Ioana
doaj   +1 more source

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

Growth of generating sets for direct powers of classical algebraic structures [PDF]

, 2012
For an algebraic structure A denote by d(A) the smallest size of a generating set for A, and let d(A)=(d(A),d(A2),d(A3),…), where An denotes a direct power of A.
Ruskuc, Nik, Quick, Martyn
core   +1 more source