vol14pp43-50. 151KB Jun 04 2011 12:05:54 AM
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A sign pattern A is shown to require power-positivity if and only if either A or −A is nonnegative and has a primitive digraph, or equivalently, either A or −A requires
A sign pattern is an L -matrix provided it requires linearly independent rows, and is balanceable if it allows a left null vector with no zero entries.. A square L-matrix is
Schur complement, LU factorization, Bipartite graph, Sign pattern, Zero pattern, Nearly reducible matrix, Minimally strongly connected digraph.. AMS
Theorem 4 in [CD95] states that long-range voter models (without swapping) exhibit interface tightness provided that their infection rates q are symmetric, irreducible, and have
If each of the other three dikes of that neighbouring polder is higher than a, the water in the polder of O will remain at level a until the above mentioned neighboring polder
In the case of the Potts model, the present theorem reproduces earlier results of the authors, with a simplified proof, in the case of the symmetric Ising model (where the
We study the problem of directed polymers in gaussian environments in Z d from the viewpoint of a gaussian family indexed by the set of random walk paths.. In the zero-temperature
The branching property can be summarised into the fact that given her type and birth time, the daughter process of any individual born is independent of all individuals not in
