Details

Autor(en) / Beteiligte

• Carminati, Carlo
• Marmi, Stefano
• Sauzin, David
• Sorrentino, Alfonso

Titel

On the regularity of Mather's β-function for standard-like twist maps

Ist Teil von

• Advances in mathematics (New York. 1965), 2021-01, Vol.377, p.107460, Article 107460

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2021

Link zum Volltext

Quelle

ScienceDirect

Beschreibungen/Notizen

• We consider the minimal average action (Mather's β function) for area preserving twist maps of the annulus. The regularity properties of this function share interesting relations with the dynamics of the system. We prove that the β-function associated to a standard-like twist map admits a unique C1-holomorphic (canonical) complex extension, which coincides with this function on the set of real diophantine frequencies. In particular, we deduce a uniqueness result for Mather's β function.