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7 papers · 2 filters
Computational approach to compact Riemann surfaces
J. Frauendiener, C. Klein
A purely numerical approach to compact Riemann surfaces starting from plane algebraic curves is presented. The critical points of the algebraic curve are computed via a two-dimensi…
On critical behaviour in generalized Kadomtsev--Petviashvili equations
Boris Dubrovin, Tamara Grava, Christian Klein
An asymptotic description of the formation of dispersive shock waves in solutions to the generalized Kadomtsev--Petviashvili (KP) equation is conjectured. The asymptotic descriptio…
Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
D. Levy-Bencheton, G. Niccoli, V. Terras
We pursue our study of the antiperiodic dynamical 6-vertex model using Sklyanin's separation of variables approach, allowing in the model new possible global shifts of the dynamica…
Shock formation in the dispersionless Kadomtsev-Petviashvili equation
T. Grava, C. Klein, J. Eggers
The dispersionless Kadomtsev-Petviashvili (dKP) equation is one of the simplest nonlinear wave equations describing two-dimensional shocks. To solve the dKP e…
Double ramification cycles and quantum integrable systems
A. Buryak, P. Rossi
In this paper we define a quantization of the Double Ramification Hierarchies of [Bur15b] and [BR14], using intersection numbers of the double ramification cycle, the full Chern cl…
Classification of multipartite systems featuring only and genuine entangled states
Frédéric Holweck, Péter Lévay
In this paper we present several multipartite quantum systems featuring the same type of genuine (tripartite) entanglement. Based on a geometric interpretation of the so-called $|W…