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math.PR2010
On invariant Gibbs measures conditioned on mass and momentum
Tadahiro Oh, Jeremy Quastel
We construct a Gibbs measure for the nonlinear Schrodinger equation (NLS) on the circle, conditioned on prescribed mass and momentum: d μ_{a,b} = Z^{-1} 1_{\int_T |u|^2 = a} 1_{i \…
math.PR2010★ 8 cited
Interpolation of Gibbs measures with White Noise for Hamiltonian PDE
Tadahiro Oh, Jeremy Quastel, Benedek Valko
We consider the family of interpolation measures of Gibbs measures and white noise given by $$dQ_{0,\b}^{(p)} = Z_\b^{-1} \ind_{{\int_{\T} u^2\le K\b^{-1/2}\}} e^{-\int_{\T} u^2 +\…