Results 61 to 70 of about 29,381 (154)

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler   +3 more
wiley   +1 more source

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Siegel–Veech constants for cyclic covers of generic translation surfaces

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino, Aaron Calderon, Carlos Matheus, Nick Salter, Martin Schmoll   +4 more
wiley   +1 more source

Hopf modules in the braided monoidal category $_LM$

Le Matematiche, 2011
Suppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that the fundamental theorem for right H-Hopf modules in LM.
Yin Yanmin, Zhang Mingchuan
doaj  

On finite dimensional Nichols algebras of diagonal type

Bulletin of Mathematical Sciences, 2017
This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf algebras with finite dimension ...
Nicolás Andruskiewitsch, Iván Angiono
doaj   +1 more source

The # product in combinatorial Hopf algebras [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We show that the # product of binary trees introduced by Aval and Viennot (2008) is in fact defined at the level of the free associative algebra, and can be extended to most of the classical combinatorial Hopf algebras.
Jean-Christophe Aval, Jean-Christophe Novelli, Jean-Yves Thibon   +2 more
doaj   +1 more source

Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin, Ahmad Shafee, Muhammad Zafarullah Baber, Baboucarr Ceesay, Pramita Mishra   +4 more
wiley   +1 more source

Uma base para a álgebra quântica de tipo E6

REMAT
As álgebras quânticas, ou grupos quânticos, são álgebras de Hopf não comutativas e não cocomutativas. Neste trabalho consideramos a envolvente quântica de dimensão infinita obtida a partir da álgebra de Lie simples de tipo E_6.
Bárbara Pogorelsky, Vitória Gomes
doaj   +1 more source

Relative Chaoticity of Natural Languages

Complexity, Volume 2026, Issue 1, 2026.
This paper presents a novel approach to analyzing and grouping natural languages based on the degree of their chaoticity. It clusters 52 languages from 18 language families, according to the value of the entropy–complexity pair, to reveal the chaotic properties of semantic trajectories.
Assel S. Yerbolova, Korney K. Tomashchuk, Alexandra S. Kogan, Nhu Q. Dang, Inna V. Skrynnikova, Vasilii A. Gromov, Tao Zhou   +6 more
wiley   +1 more source

Exploring Stability Landscapes and Complex Dynamics in a Discrete Holling–Tanner Predator–Prey Model via Bifurcation Theory and Machine Learning

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic state. In this study we investigated the discrete‐time Holling–Tanner predator–prey model.
Muhammad Rafaqat, Magda Abd El-Rehman, Abubakar Masha, Tayyaba Mehmood, Anila Bibi, Feyisa Edosa Merga, Smritijit Sen   +6 more
wiley   +1 more source