Exponential wealth distribution : a new approach from functional iteration theory*

Ricardo López-Ruiz; José-Luis López; Xavier Calbet

Displaying similar documents to “ Exponential wealth distribution : a new approach from functional iteration theory*”

Periodicity of -expansions for certain Pisot units

Sandra Vaz, Pedro Martins Rodrigues (2012)

ESAIM: Proceedings

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Given β > 1, let T _β $\begin{matrix} T_{β} : [0, 1 [ & \to & [0, 1 [ \\ x & \to & βx - ⌊ βx ⌋ . \end{matrix}$ The iteration of this transformation gives rise to the greedy β-expansion. There has been extensive research on the properties of this expansion and its dependence on the parameter β. ...

A Bayesian framework for the ratio of two Poisson rates in the context of vaccine efficacy trials

Stéphane Laurent, Catherine Legrand (2012)

ESAIM: Probability and Statistics

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In many applications, we assume that two random observations and are generated according to independent Poisson distributions $(λ S)$ and $(μ T)$ and we are interested in performing statistical inference on the ratio = / of the two incidence rates. In vaccine efficacy trials, and are typically the numbers of cases in the vaccine and the control groups respectively, is called the relative risk and...

Limit theorems for measure-valued processes of the level-exceedance type

Andriy Yurachkivsky (2012)

ESAIM: Probability and Statistics

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Let, for each , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let $\hat{ψ}$ (, ۔) be its characteristic function. We call the function $\hat{ψ}$ ( ,…, ; ,…, ) = $𝖤 \prod_{j = 1}^{l} \hat{ψ} (t_{j}, z_{j})$ of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A...

A simple proof of the characterization of functions of low Aviles Giga energy on a ball regularity

Andrew Lorent (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The Aviles Giga functional is a well known second order functional that forms a model for blistering and in a certain regime liquid crystals, a related functional models thin magnetized films. Given Lipschitz domain ⊂ ℝ the functional is $I_{ϵ} (u) = \frac{1}{2} {^{\int}}_{Ω} ϵ^{-1} {|1 - {|Du|}^{2}|}^{2} + ϵ {|D^{2} u|}^{2} d z$ where belongs to the subset of functions in $W_{0}^{2, 2} (Ω)$ whose gradient (in the sense of trace) satisfies ()· = 1 where is...

On the helix equation

Mohamed Hmissi, Imene Ben Salah, Hajer Taouil (2012)

ESAIM: Proceedings

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This paper is devoted to the helices processes, i.e. the solutions H : ℝ × Ω → ℝ^d , (t, ω) ↦ H(t, ω) of the helix equation $\begin{matrix} H (0,ω) = 0; H (s + t,ω) = H (s, Φ (t,ω)) + H (t,ω) \end{matrix}$ where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical...

Stabilité sous condition CFL non linéaire

Erwan Deriaz, Dmitry Kolomenskiy (2012)

ESAIM: Proceedings

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We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥ ∥ ≤ (1 + Δ) ∥ ∥ drives to the stability condition Δ ≤ Δ with $α = \frac{p (2 q - 1)}{q (2 p - 1)}$ where is an integer linked to the stability domain of the time scheme and ≥ an integer linked to the upwind property of the space discretization...