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Asymptotic enumeration of symmetric integer matrices with uniform row sums
(CAMBRIDGE UNIV PRESS, 2013)
We investigate the number of symmetric matrices of nonnegative integers with zero diagonal such that each row sum is the same. Equivalently, these are zero-diagonal symmetric contingency tables with uniform margins, or ...
Random dynamical systems and transfer operator cycles
Random dynamical systems are generated by recursively applied sequences of maps, where the choice of map at each timestep is determined by a stochastic process. Such systems are usually formulated as a skew-product, in ...