12,653 research outputs found
Asymptotic estimates related to an integro differential equation
The paper deals with an integrodifferential operator which models numerous
phenomena in superconductivity, in biology and in viscoelasticity.
Initialboundary value problems with Neumann, Dirichlet and mixed boundary
conditions are analyzed. An asymptotic analysis is achieved proving that for
large t, the in uences of the initial data vanish, while the effects of
boundary disturbances are everywhere bounded
An exact representation of the fermion dynamics in terms of Poisson processes and its connection with Monte Carlo algorithms
We present a simple derivation of a Feynman-Kac type formula to study
fermionic systems. In this approach the real time or the imaginary time
dynamics is expressed in terms of the evolution of a collection of Poisson
processes. A computer implementation of this formula leads to a family of
algorithms parametrized by the values of the jump rates of the Poisson
processes. From these an optimal algorithm can be chosen which coincides with
the Green Function Monte Carlo method in the limit when the latter becomes
exact.Comment: 4 pages, 1 PostScript figure, REVTe
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