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arXiv · 1512.01136

The Lipschitz Constant of a Nonarchimedean Rational Function

Robert Rumely·Stephen Winburn
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Abstract

Let K be a complete, algebraically closed nonarchimedean valued field, and let f(z) be a non-constant rational function in K(z). We provide explicit bounds for the Lipschitz constant of f(z) acting on the Berkovich projective line, relative to the Favre/Rivera-Letelier d(x,y)-metric, and for the Lipschitz constant of f(z) acting on classical points in the projective line, relative to the spherical metric.

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Robert Rumely, Stephen Winburn. 2015-12-03. The Lipschitz Constant of a Nonarchimedean Rational Function. https://arxiv.org/abs/1512.01136

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