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 timedependent perturbations.

