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Quasiperiodicity and randomness in tilings of the plane
We define new tilings of the plane with Robinson triangles, by means of generalized inflation rules, and study their Fourier spectrum. Penrose's matching rules are not obeyed; hence the tilings
Statistics of the Occupation Time of Renewal Processes
We present a systematic study of the statistics of the occupation time and related random variables for stochastic processes with independent intervals of time. According to the nature of the
Hydrodynamics and Nonlinear Instabilities
Preface Overview 1. An introduction to hydrodynamics Bernard Castaing 2. Hydrodynamical instabilities in open flows P. Huerre and M. Rossi 3. Asymptotic techniques in nonlinear problems: some
Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures
The authors propose to use multifractal analysis in reciprocal space as a tool to characterise, in a statistical and global sense, the nature of the Fourier transform of geometrical models for atomic
Solids Far from Equilibrium
Preface 1. Shape and growth of crystals P. Nozieres 2. Instabilities of planar solidification fronts B. Caroli, C. Caroli and B. Roulet 3. An introduction to the kinetics of first-order phase
Asymmetric exclusion model with two species: Spontaneous symmetry breaking
A simple two-species asymmetric exclusion model is introduced. It consists of two types of oppositely charged particles driven by an electric field and hopping on an open chain. The phase diagram of
Response of non-equilibrium systems at criticality: ferromagnetic models in dimension two and above
We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We perform an exact analysis of the spherical model in any dimension D>2 and numerical
Dynamics of the condensate in zero-range processes
For stochastic processes leading to condensation, the condensate, once it is formed, performs an ergodic stationary-state motion over the system. We analyse this motion, and especially its
Nonequilibrium dynamics of urn models
Dynamical urn models, such as the Ehrenfest model, played an important role in the early days of statistical mechanics. Dynamical many-urn models generalize the former models in two respects: the
Scaling properties of a structure intermediate between quasiperiodic and random
We consider a one-dimensional structure obtained by stringing two types of “beads” (short and long bonds) on a line according to a quasiperiodic rule. This model exhibits a new kind of order,