The algebraic Bethe Ansatz and vacuum vectors.
The principle of the largest terms and quantum large deviations
We give an approach to large deviation type asymptotic problems without evident probabilistic representation behind. An example provided by the mean field models of quantum statistical mechanics is considered.
The probability of the triangle inequality in probabilistic metric squares.
Thermodynamic limit for mean-field spin models.
Three order parameters in quantum spin-oscillator models with Gibbsian ground states.
Transport in thermal equilibrium, gapless modes, and anomalies