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We study an inverse problem for photon transport in an interstellar cloud. In particular, we evaluate the position of a localized source , inside a nebula (for example, a star). We assume that the photon transport phenomenon is one-dimensional. Since a nebula moves slowly in time, the number of photons inside the cloud changes slowly in time. For this reason, we consider the so-called quasi-static approximation to the exact solution . By using semigroup theory, we prove existence and uniqueness...
In questo contributo si discute qualche problema connesso alla derivazione delle equazioni cinetiche a partire dalla meccanica dei sistemi di particelle.
In this paper, we prove that the laws of interacting brownian particles are characterized as Gibbs fields on pathspace associated to an explicit class of hamiltonian functionals. More generally, we show that a large class of Gibbs fields on pathspace corresponds to brownian diffusions. Some applications to time reversal in the stationary and non stationary case are presented.
In this paper, we prove that the laws of interacting Brownian particles
are characterized as Gibbs fields on pathspace associated to an
explicit class of
Hamiltonian functionals. More generally, we show that a large class of Gibbs
fields on pathspace corresponds to Brownian diffusions. Some applications to
time reversal in the stationary and non stationary case are presented.
We study a continuous time random walk in an environment of dynamic random conductances in . We assume that the conductances are stationary ergodic, uniformly bounded and bounded away from zero and polynomially mixing in space and time. We prove a quenched invariance principle for , and obtain Green’s functions bounds and a local limit theorem. We also discuss a connection to stochastic interface models.
Convergence of an iteration sequence for some class of nonlocal elliptic problems appearing in mathematical physics is studied.
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