A CFG is a discrete dynamical system defined on a (directed) graph G = (V, E), where each configuration consists of a partition of n chips on the vertices V, and obeys the following rule, called the firing rule: a vertex containing at least at many chips as its outgoing degree (i.e. the number of outgoing edges) ...
Dec 10, 2007 · This allows us to characterize its lattice structure, fixed point, and longest chains as well as their length, using Chip Firing Game theory.
In this paper, we study the structure of an interesting class SP(n) of partitions of n called strict partitions, or partitions with distinct parts, from the ...
Dec 10, 2007 · This allows us to characterize its lattice structure, fixed point, and longest chains as well as their length, using Chip Firing Game theory.
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We study general types of integer partitions as configurations of discrete dynamical models with two transition rules and with the initial configuration ...
Abstract. In this paper, we study general types of integer partitions as configurations of discrete dynamical models with two transition rules and with the ...
Abstract. In this paper, we study general types of integer partitions as configurations of discrete dynamical models with two transition rules and with the ...
Many physical systems displaying chaotic behavior are accurately described by mathematical models derived from well-understood physical principles. For ex-.
Abstract. We study a family of continuous time Markov jump processes on strict partitions (partitions with distinct parts) preserving the distributions ...
Apr 3, 2013 · We use a discrete dynamical model with three evolution rules in order to analyze the structure of a partially ordered set of signed integer ...