Results 21 to 30 of about 804 (189)
一个阿贝尔积分根的数目的下界(A lower bound for the number of zeroes about an Abelian integral)
Zhejiang Daxue xuebao. Lixue ban, 2013 Hopf bifurcation is an important part of bifurcation theory of dynamical systems. Almost all known works are concerned with the bifurcation and number of limit cycles near a nondegenerate focus or center.
YANDong-mei(严冬梅) +1 more
doaj +1 more source
Abelian integrals in holomorphic foliations
Revista Matemática Iberoamericana, 2004 The aim of this paper is to introduce the theory of Abelian integrals for holomorphic foliations in a complex manifold of dimension two. We will show the importance of Picard-Lefschetz theory and the classification of relatively exact 1-forms in this theory.
openaire +6 more sources
Linear Estimate for the Number of Zeros of Abelian Integrals [PDF]
Qualitative Theory of Dynamical Systems, 2016 We prove a linear in $\degω$ upper bound on the number of real zeros of the Abelian integral $I(t)=\int_{δ(t)}ω$, where $δ(t)\subset\R^2$ is the real oval $x^2y(1-x-y)=t$ and $ω$ is a one-form with polynomial coefficients.
Dmitry Novikov, Sergey Malev
openaire +2 more sources
Canonical integral models for Shimura varieties of abelian type
Forum of Mathematics, SigmaWe prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>2$ by showing that the Kisin–Pappas–Zhou integral models of Shimura varieties of abelian type are canonical.
Patrick Daniels, Alexander Youcis
doaj +1 more source
3 definitions of BF theory on homology 3-spheres
Journal of High Energy Physics, 2023 3-dimensional BF theory with gauge group G (= Chern-Simons theory with non-compact gauge group TG) is a deceptively simple yet subtle topological gauge theory.
Matthias Blau +2 more
doaj +1 more source
Dressed Dirac propagator from a locally supersymmetric N=1 spinning particle
Nuclear Physics B, 2021 We study the Dirac propagator dressed by an arbitrary number N of photons by means of a worldline approach, which makes use of a supersymmetric N=1 spinning particle model on the line, coupled to an external Abelian vector field.
Olindo Corradini, Gianluca Degli Esposti
doaj +1 more source
Integration In Abelian $C^*$-Dynamical Systems
Publications of the Research Institute for Mathematical Sciences, 1985 Let \({\mathcal A}=C_ 0(x)\) be an abelian \(C^*\)-algebra, and let \(\delta_ 0\) be the generator of a strongly continuous group of *- automorphisms on \({\mathcal A}\). Derivations of the form \(\delta =\lambda \delta_ 0\) are considered, where \(\lambda\) is a multiplication operator on \(C_ 0(x)\).
Bratteli, Ola +3 more
openaire +3 more sources
On Integrability of the Kontsevich Non-Abelian ODE System [PDF]
Letters in Mathematical Physics, 2011 We consider systems of ODEs with the right hand side being Laurent polynomials in several non-commutative unknowns. In particular, these unknowns could be matrices of arbitrary size. An important example of such a system was proposed by M. Kontsevich.
Wolf, Thomas, Efimovskaya, Olga
openaire +3 more sources
Non‐Hermitian Stealthy Hyperuniformity
Advanced Science, EarlyView.A framework for non‐Hermitian extensions of hyperuniformity and stealthiness is proposed, generalizing PT‐symmetric gain‐loss crystals to correlated disorder in the weak‐scattering limit. By engineering real‐imaginary correlations of the material potential, this framework enables directional scattering phases inaccessible in Hermitian materials ...
Gitae Lee +8 more
wiley +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source