Coupled cell networks have been used extensively in modeling nonlinear dynamics that arise from complex networks. Among others, synchronization is one of the most important collective dynamics that arise from complex networks. To understand the emergence of synchronization in relation to the...
In this seminar, I will introduce some recent results for the calculation of upper and lower bounds for the rate of information exchanged between two nodes (or a group of nodes) in a dynamical network, a quantity also known as the mutual information rate (MIR), without having to calculate...
Suppose $T: X \rightarrow X$ is a map of a metric space preserving a probability measure $\mu$ and $\phi: X\rightarrow R$ is a H\"older observation on $X$. We may define $M_n (x)=\max \{ \phi(x), \phi ( T x), \ldots , \phi (T^n x) \}$, the sequence of successive maxima. Extreme value theory is...