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



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


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

Received 25 July 2018

Accepted 4 January 2019

Published 14 November 2019