Results 91 to 100 of about 9,944 (204)
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
Failure and recovery of unique factorization in rings of integers [PDF]
The fundamental theorem of arithmetic states that every integer n > 1 can be factored uniquely into prime numbers: n=p1···pr. In this thesis, we explore how algebraic number theory emerged from an attempt to generalize the arithmetic properties of Z ...
Pavlic, Oliver
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On Integers, Primes and UniqueFactorization in Quadratic Fields [PDF]
, 2013 . This thesis will deal with quadratic elds. The prob- lem is to study such elds and their properties including, but not limited to, determining integers, nding primes and deciding which quadratic elds have unique factorization. The goal is to get famil-
Hedenlund, Alice
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About the Entropy of a Natural Number and a Type of the Entropy of an Ideal. [PDF]
Entropy (Basel), 2023 Minculete N, Savin D.
europepmc +1 more source
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
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Kitaoka's conjecture and sums of squares
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala +2 more
wiley +1 more source
Cluster scattering diagrams via quiver moduli and tight gradings
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We study rank‐2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver‐theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin–Reading–Stella concerning the structural and enumerative properties ...
Amanda Burcroff +4 more
wiley +1 more source
Non Associative Algebraic Structures Using Finite Complex Numbers [PDF]
, 2012 Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers. The Smarandache analogue is also carried out.
Kandasamy, W.B. Vasantha +1 more
core
A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source