Mathematical Centre Tracts, Volumes 167-168Mathematisch Centrum, 1983 - Mathematics |
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algebraic number field ALGOL 60 analogous aperiodic assume assumption asymptotic behaviour basic class binary cubic form binary form chapter choose constant convergence parameter countable covariant defined definition denotes diophantine equations distinct prime Doeblin condition dynamic programming dynamic programming recursions eigenvalue eigenvectors exists exp(tQ finite set function Furthermore Hence i,j e implies inequality infinite primes integers x,y integral coefficients ISBN 90 J.W. DE BAKKER lemma linear Markov decision processes Markov process Math methods ML-matrix non-zero nonnegative matrices Note number of solutions number theory optimal p-adic polynomial positive integers prime ideals product property proof of lemma proof of theorem R-invariant vectors R-recurrent recurrent set of reference solutions of 2.6 spectral radius square nonnegative matrix stochastic matrix strictly positive strong ergodicity Suppose theorem 6.1 upper bound ZIJM αξ