Dynamics of computational waveform: A study of bifurcation, chaos, and sensitivity analysis. [PDF]
Shahen NHM +3 more
europepmc +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Kicked General Fractional Lorenz-Type Equations: Exact Solutions and Multi-Dimensional Discrete Maps. [PDF]
Tarasov VE.
europepmc +1 more source
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Lagrangian multiforms and dispersionless integrable systems. [PDF]
Ferapontov EV, Vermeeren M.
europepmc +1 more source
Abstract We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero‐sum families consisting of “nearly unit” vectors.
Gergely Ambrus, Rainie Heck
wiley +1 more source
The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]
Caudrelier V +3 more
europepmc +1 more source
Equidistribution of points in the harmonic ensemble for the Wasserstein distance
Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
wiley +1 more source
Least squares residual power series solutions for Kawahara and Rosenau-Hyman nonlinear wave interactions with applications in fluid dynamics. [PDF]
Hassan A +4 more
europepmc +1 more source
Biases towards the zero residue class for quadratic forms in arithmetic progressions
Abstract We prove a bias towards the zero residue class in the distribution of the integers represented by binary quadratic forms. In most cases, we prove that the bias comes from a secondary term in an associated asymptotic expansion. This is unlike Chebyshev's bias, which exists somewhere at the level of O(x1/2+ε)$O(x^{1/2+\varepsilon })$.
Jeremy Schlitt
wiley +1 more source

