It is emphasized that non-Markovian processes, which occur for instance in the case of colored noise, cannot be considered merely as corrections to the class of Markov processes but require special treatment. Many familiar concepts, such as first-passage times, no longer apply and need be reconsidered. Several methods of dealing with non-Markov processes are discussed. As an example a recent application to the transport of ions through a membrane is briefly mentioned
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
It is emphasized that non-Markovian processes, which occur for instance in the case of colored noise...
An equation for mean first-passage times of non-Markovian processes driven by colored noise is deriv...
A new method for the calculation of first-passage times for non-Markovian processes is presented. In...
An equation for mean first-passage times of non-Markovian processes driven by colored noise is deriv...
There are non-Markov Ito processes that satisfy the Fokker-Planck, backward time Kolmogorov, and Cha...
First-passage time statistics for non-Markovian processes have heretofore only been developed for pr...
First-passage time statistics for non-Markovian processes have heretofore only been developed for pr...
The computation of the probability of the first-passage time through a given threshold of a stochast...
We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by di...
We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by di...
The computation of the probability of the first-passage time through a given threshold of a stochast...
The study of quantum dynamics featuring memory effects has always been a topic of interest within th...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
It is emphasized that non-Markovian processes, which occur for instance in the case of colored noise...
An equation for mean first-passage times of non-Markovian processes driven by colored noise is deriv...
A new method for the calculation of first-passage times for non-Markovian processes is presented. In...
An equation for mean first-passage times of non-Markovian processes driven by colored noise is deriv...
There are non-Markov Ito processes that satisfy the Fokker-Planck, backward time Kolmogorov, and Cha...
First-passage time statistics for non-Markovian processes have heretofore only been developed for pr...
First-passage time statistics for non-Markovian processes have heretofore only been developed for pr...
The computation of the probability of the first-passage time through a given threshold of a stochast...
We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by di...
We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by di...
The computation of the probability of the first-passage time through a given threshold of a stochast...
The study of quantum dynamics featuring memory effects has always been a topic of interest within th...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...
We consider a general class of non-Markovian processes defined by stochastic differential equations ...