Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups
Randomly interacting particle systems : the uniqueness regime
Slowdown estimates and central limit theorem for random walks in random environment
This work is concerned with asymptotic properties of multi-dimensional random walks in random environment. Under Kalikow’s condition, we show a central limit theorem for random walks in random environment on , when . We also derive tail estimates on the probability of slowdowns. These latter estimates are of special interest due to the natural interplay between slowdowns and the presence of traps in the medium. The tail behavior of the renewal time constructed in [25] plays an important role in...
Statistical properties of the Ejgielies model of a cogged bit
Stimuli-Responsive Polymers in Nanotechnology: Deposition and Possible Effect on Drug Release
Stimuli-responsive polymers result in on-demand regulation of properties and functioning of various nanoscale systems. In particular, they allow stimuli-responsive control of flow rates through membranes and nanofluidic devices with submicron channel sizes. They also allow regulation of drug release from nanoparticles and nanofibers in response to temperature or pH variation in the surrounding medium. In the present work two relevant mathematical models are introduced to address precipitation-driven...
Stochastic bosonization for a Fermi system
Stochastic bosonization for an interacting Fermi system
Stochastic reaction diffusion equations and interacting particle systems
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
Variational principles for a relativistic stochastic mechanics
Zero-time vectors in the domain of the Hamiltonian in Quantum Field Theory as application of a programme for nearly Gaussian processes.
Антиферромагнетизм, ферромагнетизм и сверхпроводимость в модели Хаббарда с отталкиванием
Антиферромагнитные и сверхпроводящие состояния в трехзонной двумерной модели Хаббарда с отталкиванием