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Morris Marden, On the Zeros of Rational Functions Having Prescribed Poles, with Applications to the Derivative of an Entire Function of Finite Genre, Transactions of the American Mathematical Society, ...
This is equivalent to the following result: If all critical points of a rational function lie on a circle in the Riemann sphere (for example, on the real line), then the function maps this circle into ...
The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...