Proves LLN and CLT for random N-soliton solutions of fNLS converging to soliton gas ψ_∞ with computed correlations on compact space-time sets.
Perturbation theory for infinite-dimensional integrable systems on the line. A case study
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Law of Large Numbers and Central Limit Theorem for random sets of solitons of the focusing nonlinear Schr\"odinger equation
Proves LLN and CLT for random N-soliton solutions of fNLS converging to soliton gas ψ_∞ with computed correlations on compact space-time sets.