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Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole
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
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]
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]
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
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]
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
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
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
A Hand‐Foot‐and‐Mouth Disease Model with Periodic Transmission Rate in Wenzhou, China
We establish an SEIQRS epidemic model with periodic transmission rate to investigate the spread of seasonal HFMD in Wenzhou. The value of this study lies in two aspects. Mathematically, we show that the global dynamics of the HFMD model can be governed by its reproduction number R0; if R0 < 1, the disease‐free equilibrium of the model is globally ...
Yeting Zhu +6 more
wiley +1 more source
A precise asymptotic description of half‐linear differential equations
Abstract We study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
Pavel Řehák
wiley +1 more source

