95 citations · 225 across the 4 of their papers we have counts for
10 papers
Ergodic Edge Modes in the 4D Quantum Hall Effect
Benoit Estienne, Blagoje Oblak, Jean-Marie Stéphan
The gapless modes on the edge of four-dimensional (4D) quantum Hall droplets are known to be anisotropic: they only propagate in one direction, foliating the 3D boundary into indep…
Topological Bifurcations and Reconstruction of Travelling Waves
Blagoje Oblak
This paper is devoted to periodic travelling waves solving Lie-Poisson equations based on the Virasoro group. We show that the reconstruction of any such solution can be carried ou…
Hirota-Satsuma Dynamics as a Non-Relativistic Limit of KdV Equations
Blagoje Oblak
We consider a system of two coupled KdV equations (one for left-movers, the other for right-movers) and investigate its ultra-relativistic and non-relativistic limits in the sense…
Berry Phases in the Reconstructed KdV Equation
Blagoje Oblak, Gregory Kozyreff
We consider the KdV equation on a circle and its Lie-Poisson reconstruction, which is reminiscent of an equation of motion for fluid particles. For periodic waves, the stroboscopic…
Orbital Bifurcations and Shoaling of Cnoidal Waves
Blagoje Oblak
We study the parameter space of cnoidal waves -- the periodic solitons of the Korteweg-de Vries equation -- from the perspective of Virasoro coadjoint orbits. The monodromy method…
Thomas Precession for Dressed Particles
Blagoje Oblak
We consider a particle dressed with boundary gravitons in three-dimensional Minkowski space. The existence of BMS transformations implies that the particle's wavefunction picks up…