302 citations · 1k across the 44 of their papers we have counts for
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math-ph2018
The Calogero-Françoise integrable system: algebraic geometry, Higgs fields, and the inverse problem
Steven Rayan, Thomas Stanley, Jacek Szmigielski
We review the Calogero-Françoise integrable system, which is a generalization of the Camassa-Holm system. We express solutions as (twisted) Higgs bundles, in the sense of Hitchin,…
math.CV2018★ 4 cited
Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation
G. López Lagomasino, S. Medina Peralta, J. Szmigielski
In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Padé approximants of a Nikishin system. The study is motivated by a mixed…