(Fénix Editora, 2006) Cardona, Mónica; Colomer, M. Angels; Pérez Jiménez, Mario de Jesús; Zaragoza, Alba; Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial; Ministerio de Educación y Ciencia (MEC). España; Universidad de Sevilla. TIC193: Computación Natural
In this paper we approach the problem of computing the n–th power of
the transition matrix of an arbitrary Markov chain through membrane computing. The
proposed solution is described in a semi–uniform way in the framework of P systems with
external output. The amount of resources required in the construction is polynomial in
the number of states of the Markov chain and in the power. The time of execution is
linear in the power and is independent of the number of states involved in the Markov
chain.
