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Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes
Pagnini, G.
; Mura, A.; Mainardi, F. (2013-12-31)
; Mura, A.; Mainardi, F. (2013-12-31)
Two-particle dispersion is investigated in the context of anomalous diffusion. Two different modeling approaches related to time subordination are considered and unified in the framework of self-similar stochastic processes. ...
The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes
Pagnini, G. (2013-12-31)
(2013-12-31)
The leading role of a special function of the Wright-type, referred to as M-Wright or Mainardi function, within a parametric class of self-similar stochastic processes with stationary increments, is surveyed. This class ...
Non-cooperative Equilibria of Fermi Systems With Long Range Interactions
Bru, J.-B.; de Siqueira Pedra, W. (2013-07)
; de Siqueira Pedra, W. (2013-07)
We define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in ...