A stochastic complex network model society.
A stochastic min-driven coalescence process and its hydrodynamical limit
A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalized version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.
A superprocess involving both branching and coalescing
A super-stable motion with infinite mean branching
A symmetric entropy bound on the non-reconstruction regime of Markov chains on galton-watson trees.
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential.
A universality property for last-passage percolation paths close to the axis.
A version of the Harris-Spitzer "random constant velocity" model for infinite systems of particles
AB percolation: a brief survey
Aging for interacting diffusion processes
Alcune disuguaglianze nel modello di Edwards-Anderson e in altri modelli di vetri di spin
Almost all words are seen in critical site percolation on the triangular lattice.
An application of the Bakry-Émery criterion to infinite dimensional diffusions
An application of the voter model–super-brownian motion invariance principle
An approach to characterize metastability and critical droplets in stochastic Ising models
An approximation of the pressure for the two-dimensional Ising model
An asymptotic result for brownian polymers
We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields92 (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process Xt (corresponding to the location of the end of the polymer at time t) for a particular type of repelling interaction function without compact support.
An ergodic theorem for a class of spin systems
An extension of the inductive approach to the lace expansion.
An infinite dimensional central limit theorem for correlated martingales