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Publications associées (32)
The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model
In this paper we investigate pointed (q, g, n)-Boltzmann loop-decorated maps with loops traversing only inner triangular faces. Using peeling exploration Budd (2018) modified to this setting we show that its law in the non-generic critical phase can be cod ...
IMPA2022Gyrokinetic simulations of turbulence and zonal flows driven by steep profile gradients using a delta-f approach with an evolving background Maxwellian
Laurent Villard, Stephan Brunner, Alberto Bottino, Ben McMillan, Moahan Murugappan
Long global gyrokinetic turbulence simulations are particularly challenging in situations where the system deviates strongly from its initial state and when fluctuation levels are high, for example, in strong gradient regions. For particle-in-cell simulati ...
AIP Publishing2022Statistical limits of dictionary learning: Random matrix theory and the spectral replica method
Nicolas Macris, Jean François Emmanuel Barbier
We consider increasingly complex models of matrix denoising and dictionary learning in the Bayes-optimal setting, in the challenging regime where the matrices to infer have a rank growing linearly with the system size. This is in contrast with most existin ...
AMER PHYSICAL SOC2022