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Changes of graph structure of transition probability matrices indicate the slowest kinetic relaxations

Changes of graph structure of transition probability matrices indicate the slowest kinetic relaxations

Graphs of the most probable transitions for a transition probability matrix, ${e}^{\ensuremath{\tau}K}$, i.e., the time evolution matrix of the transition rate matrix $K$ over a finite time interval $\ensuremath{\tau}$, are considered. We study how the graph structures of the most probable transitions change as functions of $\ensuremath{\tau}$, thereby elucidating that …