Results 31 to 40 of about 9,794 (135)
Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole
Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018 We investigate the existence of multivortex states in a superconducting mesoscopic sphere with a magnetic dipole placed at the center. We obtain analytic solutions for the order parameter Ψ(r→) inside the sphere through the linearized Ginzburg‐Landau (GL) model, coupled with mixed boundary conditions, and under regularity conditions and decoupling ...
A. Ludu, Alexander Iomin
wiley +1 more source
Ergodic properties of infinite extensions of area-preserving flows [PDF]
, 2011 We consider volume-preserving flows $(\Phi^f_t)_{t\in\mathbb{R}}$ on $S\times \mathbb{R}$, where $S$ is a closed connected surface of genus $g\geq 2$ and $(\Phi^f_t)_{t\in\mathbb{R}}$ has the form $\Phi^f_t(x,y)=(\phi_tx,y+\int_0^t f(\phi_sx)ds)$, where $
Fraczek, Krzysztof, Ulcigrai, Corinna
core +2 more sources
A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann +2 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017 We investigate global dynamics of the following systems of difference equations xn+1 = xn/(A1 + B1xn + C1yn), yn+1=yn2/A2+B2xn+C2yn2, n = 0,1, …, where the parameters A1, A2, B1, B2, C1, and C2 are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers.
V. Hadžiabdić +3 more
wiley +1 more source
Dynamics of Hilbert nonexpansive maps [PDF]
, 2013 In his work on the foundations of geometry, Hilbert observed that a formula which appeared in works by Beltrami, Cayley, and Klein, gives rise to a complete metric on any bounded convex domain. Some decades later, Garrett Birkhoff and Hans Samelson noted
Karlsson, Anders
core +1 more source
The strong Malthusian behavior of growth-fragmentation processes [PDF]
, 2019 Growth-fragmentation processes describe the evolution of systems of cells which grow continuously and fragment suddenly; they are used in models of cell division and protein polymerisation.
Bertoin, Jean, Watson, Alexander
core +5 more sources
Expanderizing Higher‐Order Random Walks
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT We study a variant of the down‐up (also known as the Glauber dynamics) and up‐down walks over an n$$ n $$‐partite simplicial complex, which we call expanderized higher‐order random walks—where the sequence of updated coordinates corresponds to the sequence of vertices visited by a random walk over an auxiliary expander graph H$$ H $$. When H$$
Vedat Levi Alev, Shravas Rao
wiley +1 more source
Extreme Value Laws for sequences of intermittent maps [PDF]
, 2016 We study non-stationary stochastic processes arising from sequential dynamical systems built on maps with a neutral fixed points and prove the existence of Extreme Value Laws for such processes.
Freitas, Ana Cristina Moreira +2 more
core +3 more sources
On the Conjecture of Lehmer, Limit Mahler Measure of Trinomials and Asymptotic Expansions
, 2016 Let n ≥ 2 be an integer and denote by θn the real root in (0, 1) of the trinomial Gn(X) = −1 + X + Xn. The sequence of Perron numbers (θn−1)n≥2 $(\theta _n^{ - 1} )_{n \ge 2} $ tends to 1. We prove that the Conjecture of Lehmer is true for {θn−1|n≥2} $\{
J. Verger-Gaugry
semanticscholar +1 more source
Harmonic balls in Liouville quantum gravity
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley +1 more source