Results 81 to 90 of about 1,167 (194)

Direct sums and the Szlenk index [PDF]

, 2011
For α an ordinal and ...
Brooker, Philip A.H., Philip A.H. Brooker, Philip A. H. Brooker   +2 more
core   +1 more source

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

Direct Summand of Serial Modules

European Journal of Pure and Applied Mathematics
Let R be an associative ring and M a unitary left R-module. An R-module M is said to be uniserial if its submodules are linearly ordered by inclusion. A serial module is a direct sum of uniserial modules. In this paper, we bring our modest contribution to the open problem listed in the book of Alberto Facchini "Module Theory" which states that is any ...
Alhousseynou BA, Mankagna A. Diompy, Andre S. Diabang   +2 more
openaire   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14292-14316, August 2026.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

Sub-direct sums and positivity classes of matrices [PDF]

, 1999
It is well known that a direct sum is positive semidefinite if and only if each of the direct summands is positive semidefinite. In fact, it is also known that this statement remains true if positive semidefinite is replaced with: doubly nonnegative ...
Fallat, Shaun M., Johnson, Charles R.
core   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +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

Modules Whose Submodules Are Essentially Embedded in Direct Summands [PDF]

, 2009
WOS: 000263199400006A module M is said to satisfy the C-12 condition if every submodule of M is essentially embedded in a direct summand of M. It is known that the C-11 ( and hence also C-1) condition implies the C-12 condition. We show that the class of
Takıl Mutlu, Figen, Tercan, Adnan, TAKIL, FİGEN   +2 more
core   +1 more source

Modules Whose Direct Summands Are Fi-Extending [PDF]

, 2017
WOS: 000438053300008A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. It is not known whether a direct summand of an FI-extending module is also FI-extending.
TaşdEmir, Oktay, Karabacak, F.
core   +2 more sources

Inference on Common Trends in a Cointegrated Nonlinear SVAR

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 658-676, August 2026.
ABSTRACT We consider the problem of performing inference on the number of common stochastic trends when data is generated by a cointegrated CKSVAR (a two‐regime, piecewise affine SVAR; Mavroeidis, 2021), using a modified version of the Breitung (2002) multivariate variance ratio test that is robust to the presence of nonlinear cointegration (of a known
James A. Duffy, Xiyu Jiao
wiley   +1 more source