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math-ph2026
Explicit higher order rational rogue waves of the nonlinear Schrödinger equation
Robert Conte, ENS Paris-Saclay, The University of Hong Kong
The -th order rational rogue wave of the nonlinear Schrödinger equation (NLS), which depends on real parameters, has been shown to be impossible to generate by the nonli…
math-ph2026
Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlevé VI distribution
Ivan Dornic, Robert Conte
We determine the full persistence probability distribution for a non-Markovian stochastic process, motivated by first-passage questions arising in interacting spin systems and alli…