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7 papers · 2 filters
Rigorous results in space-periodic two-dimensional turbulence
Sergei Kuksin, Armen Shirikyan
We survey the recent advance in the rigorous qualitative theory of the 2d stochastic Navier-Stokes system that are relevant to the description of turbulence in two-dimensional flui…
A graph with fractional revival
Pierre-Antoine Bernard, Ada Chan, Érika Loranger +2
An example of a graph that admits balanced fractional revival between antipodes is presented. It is obtained by establishing the correspondence between the quantum walk on a hyperc…
Contractions of Degenerate Quadratic Algebras, Abstract and Geometric
Mauricio A. Escobar Ruiz, Willard Miller, Eyal Subag
Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrabl…
Supersymmetric formulation of the minimal surface equation: algebraic aspects
A. Michel Grundland, Alexander J. Hariton
In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal symmetries of this equation…
Fourth order superintegrable systems separating in Polar Coordinates. I. Exotic Potentials
Adrian M. Escobar-Ruiz, J. C. López Vieyra, P. Winternitz
We present all real quantum mechanical potentials in a two-dimensional Euclidean space that have the following properties: 1. They allow separation of variables of the Schrödinger…
On integrability aspects of the supersymmetric sine-Gordon equation
Sébastien Bertrand
In this paper we study certain integrability properties of the supersymmetric sine-Gordon equation. We construct Lax pairs with their zero-curvature representations which are equiv…