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- Université Libre de BruxellesBE590 papers
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9 papers · 1 filter
Melonic dominance and the largest eigenvalue of a large random tensor
Oleg Evnin
We consider a Gaussian rotationally invariant ensemble of random real totally symmetric tensors with independent normally distributed entries, and estimate the largest eigenvalue o…
Breathing modes, quartic nonlinearities and effective resonant systems
Oleg Evnin
A breathing mode in a Hamiltonian system is a function on the phase space whose evolution is exactly periodic for all solutions of the equations of motion. Such breathing modes are…
Complex plane representations and stationary states in cubic and quintic resonant systems
Anxo Biasi, Piotr Bizon, Oleg Evnin
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have construc…
Melonic Turbulence
Stéphane Dartois, Oleg Evnin, Luca Lionni +2
We propose a new application of random tensor theory to studies of non-linear random flows in many variables. Our focus is on non-linear resonant systems which often emerge as weak…
Quantum resonant systems, integrable and chaotic
Oleg Evnin, Worapat Piensuk
Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant linearized perturbations. Examples include nonlinear Schroedinger equations in harmonic…
Force-Free Foliations
Geoffrey Compère, Samuel E. Gralla, Alexandru Lupsasca
Electromagnetic field configurations with vanishing Lorentz force density are known as force-free and appear in terrestrial, space, and astrophysical plasmas. We explore a general…