Results 81 to 90 of about 6,093,714 (175)
Localized and Extended Phases in Square Moiré Patterns
Annalen der Physik, Volume 537, Issue 6, June 2025.Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero +2 more
wiley +1 more source
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
Algebraic relations between solutions of Painlevé equations
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract In this manuscript, we make major progress classifying algebraic relations between solutions of Painlevé equations. Our main contribution is to establish the algebraic independence of solutions of various pairs of equations in the Painlevé families; for generic coefficients, we show that all algebraic relations between solutions of equations ...
James Freitag, Joel Nagloo
wiley +1 more source
Uniform parameterization of subanalytic sets and diophantine applications [PDF]
, 2020 Raf Cluckers +2 more
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Granular ComputingIn a dynamic world of technological advances, the Internet of Things (IoT) is a transformational and widespread force that has revolutionized the way we communicate with our surroundings and regulate our environments.
Vimala Jayakumar +4 more
semanticscholar +1 more source
Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov +2 more
wiley +1 more source
Lattices in function fields and applications
Mathematika, Volume 71, Issue 2, April 2025.Abstract In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with variables from short intervals. In 1941, Mahler introduced an analogue to the Geometry of Numbers in function fields over finite fields.
Christian Bagshaw, Bryce Kerr
wiley +1 more source
IEEE AccessThe Objectives of this study is to extend the concept of q-rung linear Diophantine fuzzy sets (q-RLDFSs), followed by the Near-Earth Asteroids (NEAs) deflection detector.
Maria Shams +4 more
doaj +1 more source
Characterization of Diophantine Equations a+y2=z2, Pythagorean n-Tuples, and Algebraic Structures
International Journal of Mathematics and Mathematical SciencesLet N,Z, and Q be the sets of natural, integers, and rational numbers, respectively. Our objective, involving a predetermined positive integer a, is to study a characterization of Diophantine equations of the form a+y2=z2. Building on this result, we aim
Roberto Amato
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Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies [PDF]
, 2021 Tahir Mahmood +4 more
openalex +1 more source