The Bethe lattice spin glass at zero temperature
The classical limit of a class of quantum dynamical semigroups
The fermion number processes as a functional central limit of quantum hamiltonian models
The law of large numbers for ballistic, multi-dimensional random walks on random lattices with correlated sites
The one dimensional annealed δ-Lyapounov exponent
The principle of variation for relativistic quantum particles
The unscaled paths of branching brownian motion
For a set A ⊂ C[0, ∞), we give new results on the growth of the number of particles in a branching Brownian motion whose paths fall within A. We show that it is possible to work without rescaling the paths. We give large deviations probabilities as well as a more sophisticated proof of a result on growth in the number of particles along certain sets of paths. Our results reveal that the number of particles can oscillate dramatically. We also obtain new results on the number of particles near the...
Towards a proof of recurrence for the Lorentz process