44 citations · 275 across the 17 of their papers we have counts for
18 papers
Coherent energy cascades in nonlinear disordered Hamiltonians
Anxo Biasi, Brad Cownden, Oleg Evnin +1
The familiar wave kinetic theory revolves around turbulent energy cascades characterized by random phases of the individual normal modes. By contrast, recent years have revealed tu…
Neural-Spectral Discovery of Rotating Black Holes Beyond General Relativity
Felipe Agurto-Sepúlveda, Marcelo Oyarzo, Anxo Biasi +6
Finding rotating black hole solutions in higher-curvature theories of gravity is a problem of fundamental importance. Virtually every approach to reconcile gravity with quantum mec…
Energy cascades and condensation via coherent dynamics in Hamiltonian systems
Anxo Biasi, Patrick Gérard
This work makes analytic progress in the deterministic study of turbulence in Hamiltonian systems by identifying two types of energy cascade solutions and the corresponding large-…
On cat-human interaction from the viewpoint of physics: an equation of motion
Anxo Biasi
This paper provides an enjoyable example through which several concepts of classical mechanics can be understood. We introduce an equation that models the motion of a cat in the pr…
Exact solutions for a coherent phenomenon of condensation in conservative Hamiltonian systems
Anxo Biasi
While it is known that Hamiltonian systems may undergo a phenomenon of condensation akin to Bose-Einstein condensation, not all the manifestations of this phenomenon have been unco…
Obstruction to ergodicity in nonlinear Schrödinger equations with resonant potentials
Anxo Biasi, Oleg Evnin, Boris A. Malomed
We identify a class of trapping potentials in cubic nonlinear Schrödinger equations (NLSEs) that make them non-integrable, but prevent the emergence of power spectra associated wit…
De Sitter bubbles from anti-de Sitter fluctuations
Anxo Biasi, Oleg Evnin, Spyros Sypsas
Cosmological acceleration is difficult to accommodate in theories of fundamental interactions involving supergravity and superstrings. An alternative is that the acceleration is no…
Fermi-Pasta-Ulam phenomena and persistent breathers in the harmonic trap
Anxo Biasi, Oleg Evnin, Boris A. Malomed
We consider the long-term weakly nonlinear evolution governed by the two-dimensional nonlinear Schrödinger (NLS) equation with an isotropic harmonic oscillator potential. The dynam…
Self-Similar Solutions to the Compressible Euler Equations and their Instabilities
Anxo Biasi
This paper addresses the construction and the stability of self-similar solutions to the isentropic compressible Euler equations. These solutions model a gas that implodes isotropi…
Turbulent cascades in a truncation of the cubic Szego equation and related systems
Anxo Biasi, Oleg Evnin
The cubic Szego equation has been studied as an integrable model for deterministic turbulence, starting with the foundational work of Gerard and Grellier. We introduce a truncated…
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…
Gravitational wave driving of a gapped holographic system
Anxo Biasi, Javier Mas, Alexandre Serantes
This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a stron…
Energy returns in global AdS_4
Anxo Biasi, Ben Craps, Oleg Evnin
Recent studies of the weakly nonlinear dynamics of probe fields in global AdS (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed…
Solvable cubic resonant systems
Anxo Biasi, Piotr Bizon, Oleg Evnin
Weakly nonlinear analysis of resonant PDEs in recent literature has generated a number of resonant systems for slow evolution of the normal mode amplitudes that possess remarkable…
Two infinite families of resonant solutions for the Gross-Pitaevskii equation
Anxo Biasi, Piotr Bizon, Ben Craps +1
We consider the two-dimensional Gross-Pitaevskii equation describing a Bose-Einstein condensate in an isotropic harmonic trap. In the small coupling regime, this equation is accura…
Floquet Scalar Dynamics in Global AdS
Anxo Biasi, Pablo Carracedo, Javier Mas +2
We study periodically driven scalar fields and the resulting geometries with global AdS asymptotics. These solutions describe the strongly coupled dynamics of dual finite-size quan…
Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates
Anxo Biasi, Piotr Bizon, Ben Craps +1
The Lowest Landau Level (LLL) equation emerges as an accurate approximation for a class of dynamical regimes of Bose-Einstein Condensates (BEC) in two-dimensional isotropic harmoni…
Delayed collapses of BECs in relation to AdS gravity
Anxo F. Biasi, Javier Mas, Angel Paredes
We numerically investigate spherically symmetric collapses in the Gross-Pitaevskii equation with attractive nonlinearity in a harmonic potential. Even below threshold for direct co…