| Date |
May 23, 2012 |
| Speaker |
Dr. Jun Ohkubo, Graduate School of Informatics,Kyoto University
|
| Title |
Counting statistics and related topics
|
| Abstract |
Recently, stochastic property of small systems, such as cells, has
been focused a lot. A
master equation approach enables us to treat the stochasticity
analytically and to obtain
a probability distribution of states of the system. However, sometimes
it is needed to
calculate a kind of dynamical property of the system, i.e., the number
of specific
transitions during a finite time interval. Counting statistics is a
scheme to calculate
all statistics of the dynamical property, including higher order
cumulants, based on the
master equation of the system. In this talk, I will briefly explain
the basic concept of
counting statistics. In addition, further topics will be given,
including numerical
evaluation and a mathematical structure behind time-dependent perturbations.
|
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