Results 61 to 70 of about 4,013,096 (184)

Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on Zd $\mathbb Z^d$ double struck upper Z Superscript d

Forum of Mathematics, Sigma
We establish large sets of Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on Zd $\mathbb Z^d$ double struck upper Z Superscript d , thus extending Anderson localization from the linear (cf. Bourgain [Geom.
Yunfeng Shi, Wei-Min Wang
doaj   +1 more source

Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations [PDF]

Formal Methods in System Design, 2008
Abstract: "The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interpolants in rational and real linear arithmetic. We focus on subsets of integer linear arithmetic.
Himanshu Jain, Edmund M. Clarke, Orna Grumberg   +2 more
openaire   +4 more sources

Generalized free wreath products and their operator algebras

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley   +1 more source

On Matrix Linear Diophantine Equation-Based Digital-Adaptive Block Pole Placement Control for Multivariable Large-Scale Linear Process

AppliedMath
This paper introduces a digital adaptive control framework for large-scale multivariable systems, integrating matrix linear Diophantine equations with block pole placement.
Belkacem Bekhiti, Kamel Hariche, Abdellah Kouzou, Jihad A. Younis, Abdel-Nasser Sharkawy   +4 more
doaj   +1 more source

Observability of string vibrations

Electronic Journal of Qualitative Theory of Differential Equations, 2014
Transversal vibrations $u=u(x,t)$ of a string of length $l$ under three essential boundary conditions are studied, where $u$ is governed by the Klein--Gordon equation: $$u_{tt}(x,t) = a^2u_{xx}(x,t) - cu(x,t), (x,t) \in [0,l]\times \mathbb{R}; \ 0 < a ...
András Szijártó, Jenő Hegedűs
doaj   +1 more source

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley   +1 more source

On the exceptional set in Littlewood's discrete conjecture

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley   +1 more source

Discovery of Exact Equations for Integer Sequences

Mathematics
Equation discovery, also known as symbolic regression, is the field of machine learning that studies algorithms for discovering quantitative laws, expressed as closed-form equations or formulas, in collections of observed data.
Boštjan Gec, Sašo Džeroski, Ljupčo Todorovski   +2 more
doaj   +1 more source

Double‐jump phase transition for the reverse Littlewood–Offord problem

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Erdős conjectured in 1945 that for any unit vectors v1,…,vn$v_1, \ldots, v_n$ in R2$\mathbb {R}^2$ and signs ε1,…,εn$\varepsilon _1, \ldots, \varepsilon _n$ taken independently and uniformly in {−1,1}$\lbrace -1,1\rbrace$, the random Rademacher sum σ=ε1v1+⋯+εnvn$\sigma = \varepsilon _1 v_1 + \cdots + \varepsilon _n v_n$ satisfies ∥σ∥2⩽1$\Vert \
Lawrence Hollom, Julien Portier, Victor Souza   +2 more
wiley   +1 more source

Diophantine Equation [PDF]

, 2010
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. This brief discussion is useful for next discussion on the main topic.
Strnadová, Pavlína, Panda, Sagar
core