14.proof of the second law
  14.1  yon neumann entropy
  14.2  entropy increase in quantum mechanics
  14.3  the quantum kac model
  14.4  equilibrium
  14.5  the e-limit
  14.6  the marginals and entropy
  14.7  the results
15.information geometry
  15.1  the jaynes-ingarden theory
  15.2  non-linear ising dynamics
  15.3  ising model close to equilibrium
  15.4  non-linear heisenberg model
  15.5  estimation; the cramer-rao inequality
  15.6  efron, dawid and amari
  15.7  entropy methods, exponential families
  15.8  the work of pistone and sempi
  15.9  the finite-dimensional quantum info-manifold
  15.10  araki's expansionals and the analytic manifold
  15.11  the quantum young function
  15.12  the quantum cramer class
  15.13  the parameter-free quantum manifold
  15.14  exercises
bibliography
index

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