An asteroidal triple is a stable set of three vertices such that each pair is connected by a path avoiding the neighborhood of the third vertex. An asteroidal quadruple is a stable set of four vertices such that any three of them is an asteroidal triple. Two non adjacent vertices are linked by a special connection if either they have a common neighbor or they are the endpoints of two vertex-dis...

We employ a generalization of the She & Lévêque model to study velocity scaling relations based on our simulations of thermal instability–induced turbulence. Being a by-product of the interstellar phase transition, such multiphase turbulence tends to be more intermittent than compressible isothermal turbulence. Due to radiative cooling, which promotes nonlinear instabilities in supersonic flows...

Intermittent density fluctuations of nucleotide molecules (adenine, guanine, cytosine and thymine) along DNA sequences are studied in the framework of a hierarchical structure (HS) model originally proposed for the study of fully developed turbulence [She and Lévêque, Phys. Rev. Lett. 72, 336 (1994)]. Large scale (10 ≤ l ≤ 10 bp) base density fluctuation is shown to satisfy the HS similarity. T...

Multiplicative processes and multifractals proved useful in various applications ranging from hydrodynamic turbulence to computer network traffic. It was recently shown and explained how and why multifractal analysis could be fruitfully placed in the general framework of infinitely divisible cascades. The aim of this contribution is to design processes, called Infinitely Divisible Cascading (ID...

R. Arinero, C. Riedel, G. A. Schwartz, G. Lévêque, A. Alegría, Ph. Tordjeman, N. E. Israeloff, M. Ramonda and J. Colmenero 1 IES, UMR CNRS 5214, Université Montpellier II, CC 083, Place E. Bataillon, 34095 Montpellier Cedex, France 2 Donostia International Physics Center (DIPC), Paseo Manuel de Lardizábal 4, 20018 San Sebastián, Spain. 3 Departamento de Física de Materiales UPV/EHU, Facultad de...