8.2k citations
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Showing 2008 · math.PRShow all
3 papers · 2 filters
math.PR2008★ 31 cited
Stochastic calculus for convoluted Lévy processes
Christian Bender, Tina Marquardt
We develop a stochastic calculus for processes which are built by convoluting a pure jump, zero expectation Lévy process with a Volterra-type kernel. This class of processes contai…
math.PR2008★ 63 cited
Energy transport in stochastically perturbed lattice dynamics
Giada Basile, Stefano Olla, Herbert Spohn
We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order \varepsilon\^-1 the local spectral density (Wigner…
math.PR2008
The conditioned reconstructed process
Tanja Gernhard
We investigate a neutral model for speciation and extinction, the constant rate birth-death process. The process is conditioned to have extant species today, we look at the tre…