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Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation
The paper interprets the cubic nonlinear Schrödinger equation as a Hamiltonian system with infinite dimensional phase space. There exists a Gibbs measure which is invariant under the flow associated ...
J. Math. Phys. 65, 022705 (2024), 2024
Inferring the Mixing Properties of a Stationary Ergodic Process From a Single Sample-Path
We propose strongly consistent estimators of the ℓ1 norm of the sequence of α -mixing (respectively β -mixing) coefficients of a stationary ergodic process. We further provide strongly consistent ...
IEEE Transactions on Information Theory ( Volume: 69, Issue: 6, June 2023), 2023