1 citations · 1 across the 6 of their papers we have counts for
7 papers
Anisotropic truncation for turbulent transport and zonal flows in the Hasegawa-Wakatani system
Pierre L. Guillon, Robin Angles, Yanick Sarazin +1
Reduced models based on an anisotropic truncation of the Fourier space, retaining only a few poloidal wave-numbers while keeping the full radial resolution, are developed and first…
On the Dynamics of Bounded-Degree Automata Networks
Julio Aracena, Florian Bridoux, Maximilien Gadouleau +4
Automata networks can be seen as bare finite dynamical systems, but their growing theory has shown the importance of the underlying communication graph of such networks. This paper…
Self-organisation through layering of -plane like turbulence in plasmas and geophysical fluids
P. L. Guillon, G. Dif-Pradalier, Y. Sarazin +2
Staircase formation and layering is studied in simplified, potential vorticity conserving models of plasmas and geophysical fluids, by investigating turbulent self-organisation and…
Flux Jamming, Phase Transitions and Layering in Turbulent Magnetized Plasma
P. H. Diamond, Y. Kosuga, P. L. Guillon +1
This paper discusses transport barrier formation and layering as consequences of jam formation. Extensive use is made of analogies with the theory of traffic flow in one dimension.…
Flux-driven turbulent transport using penalisation in the Hasegawa-Wakatani system
Pierre L. Guillon, Özgür D. Gürcan, Guilhem Dif-Pradalier +2
First numerical results from the newly-developed pseudo-spectral code P-FLARE (Penalised FLux-driven Algorithm for REduced models) are presented. This flux-driven turbulence/transp…
Aperiodic monotiles: from geometry to groups
Thierry Coulbois, Anahí Gajardo, Pierre Guillon +1
In 2023, two striking, nearly simultaneous, mathematical discoveries have excited their respective communities, one by Greenfeld and Tao, the other (the Hat tile) by Smith, Myers,…
Various questions around finitely positively expansive dynamical systems
Silvère Gangloff, Pierre Guillon, Piotr Oprocha
It is well-known that when a positively expansive dynamical system is invertible then its underlying space is finite. C.Morales has introduced a decade ago a natural way to general…