Methods and Applications of Analysis

Volume 26 (2019)

Number 1

In Memory of Professor John N. Mather: Part 3 of 3

Guest Editors: Sen Hu, University of Science and Technology, China; Stanisław Janeczko, Polish Academy of Sciences, Poland; Stephen S.-T. Yau, Tsinghua University, China; and Huaiqing Zuo, Tsinghua University, China.

On John Mather’s seminal contributions in Hamiltonian dynamics

Pages: 37 – 64

DOI: https://dx.doi.org/10.4310/MAA.2019.v26.n1.a3

Author

Alfonso Sorrentino (Dipartimento di Matematica, Università degli Studi di Roma “Tor Vergata”, Roma, Italy)

Keywords

action-minimizing methods, Aubry–Mather theory, Mather measures, Mather sets, Aubry sets, Mañé sets, minimal average action

2010 Mathematics Subject Classification

37J40, 37J45, 37J50, 70H08

Full Text (PDF format)

Received 25 July 2018

Accepted 4 January 2019

Published 14 November 2019