Results 31 to 40 of about 1,759 (215)
Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
Advanced Intelligent Systems, EarlyView.We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
wiley +1 more source
Asymptotic Almost-Periodicity for a Class of Weyl-Like Fractional Difference Equations
Mathematics, 2019 This work deal with asymptotic almost-periodicity of mild solutions for a class of difference equations with a Weyl-like fractional difference in Banach space.
Junfei Cao, Amar Debbouche, Yong Zhou
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Whitney stratifications and the continuity of local Lipschitz–Killing curvatures [PDF]
Annales de l'Institut Fourier, 2018 In the paper we prove that the local Lipschitz–Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is ( w
Nguyen, Nhan, Valette, Guillaume
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT In a collection of particles performing independent random walks on Zd$\mathbb {Z}^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and are removed at rate ν$\nu$.
Duncan Dauvergne, Allan Sly
wiley +1 more source
Analysis and Geometry in Metric Spaces, 2014 A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra.We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups.
Franchi Bruno +2 more
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On error bound moduli for locally Lipschitz and regular functions [PDF]
Mathematical Programming, 2017 In this paper we study local error bound moduli for a locally Lipschitz and regular function via its outer limiting subdifferential set. We show that the distance of 0 from the outer limiting subdifferential of the support function of the subdifferential set, which is essentially the distance of 0 from the end set of the subdifferential set, is an ...
M. H. Li, K. W. Meng, Xiaoqi Yang 0001
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Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta +3 more
wiley +1 more source
Duality for Locally Compact Lipschitz Spaces
Rocky Mountain Journal of Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2-Local Isometries on Spaces of Lipschitz Functions
Canadian Mathematical Bulletin, 2011 AbstractLet (X, d) be a metric space, and let Lip(X) denote the Banach space of all scalar-valued bounded Lipschitz functions ƒ on X endowed with one of the natural normswhere L(ƒ) is the Lipschitz constant of ƒ. It is said that the isometry group of Lip(X) is canonical if every surjective linear isometry of Lip(X) is induced by a surjective isometry ...
Jiménez Vargas, Antonio +1 more
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