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arXiv · 1507.08938

Hölder properties of Weierstrass-like solutions of $θ$-twisted cohomological equations

Dmitry Todorov
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Abstract

It is proved that bounded solutions of modified ($θ$-twisted) cohomological equations for expanding circle maps are $θ$-Hölder continuous but are not $(θ+γ)$-Hölder continuous for every $γ>0$ at almost every point. This gives new examples of "nonlinear" Weierstrass-like functions for which the optimal \holder exponent at most points is known.

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Dmitry Todorov. 2015-07-31. Hölder properties of Weierstrass-like solutions of $θ$-twisted cohomological equations. https://arxiv.org/abs/1507.08938

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