Speaker
Alexander Muzaika
(COIN, Helsinki)
Description
The generating functional method is employed to investigate
the synchronous dynamics of Boolean networks, providing an
exact result for the system dynamics. The framework
accommodates a variety of Boolean function distributions and
can be used to study both the noisy and noiseless regimes; it
enables one to calculate correlation functions at different
times that are inaccessible via commonly used
approximations. It is also used to determine conditions for the
approximations used in past to be valid, explore phases of the
system under different levels of noise and obtain results for
models with strong memory effects, where existing
approximations break down. Links between noisy Boolean
networks and fault-tolerant computation are identified and
results common to both system types are highlighted.
