A. Navas

collaborators

3 papers

math.DS2026

How (not) to prove (un)distortion for diffeomorphisms of one-manifolds

HÃ©lÃ¨ne Eynard-Bontemps, AndrÃ©s Navas

This article addresses the following general question: Given a one-dimensional manifold $M$ and $1 \leq r < s \leq \infty$ , does there exist a $C^{s}$ orientation preserving compactly…

math.GM2025

Parametric proofs of the Pythagorean theorem via ziggurats and pyramids

AndrÃ©s Navas, Andrés Navas

We present two parametric families of area-rearrangement proofs of the Pythagorean theorem. Our contribution is primarily constructive and expository: we organize the geometry thro…

math.FA2025

Some examples of affine isometries of Banach spaces arising from 1-D dynamics

AndrÃ©s Navas

We provide a large family of examples of affine isometries of the Banach spaces $C^{0} (S^{1})$ , $L^{1} (S^{1})$ and $L^{2} (S^{1} \times S^{1})$ that are fixed-point-free despite being recurren…