Abstract
We present a mathematical view of the structure of matter based on the invariance of the classical equations of physics.
| Original language | English (US) |
|---|---|
| Title of host publication | Invited Lectures |
| Editors | Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana |
| Publisher | World Scientific Publishing Co. Pte Ltd |
| Pages | 3985-4012 |
| Number of pages | 28 |
| ISBN (Electronic) | 9789813272934 |
| State | Published - 2018 |
| Event | 2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil Duration: Aug 1 2018 → Aug 9 2018 |
Publication series
| Name | Proceedings of the International Congress of Mathematicians, ICM 2018 |
|---|---|
| Volume | 4 |
Conference
| Conference | 2018 International Congress of Mathematicians, ICM 2018 |
|---|---|
| Country/Territory | Brazil |
| City | Rio de Janeiro |
| Period | 8/1/18 → 8/9/18 |
Bibliographical note
Funding Information:This work was supported by AFOSR (FA9550-15-1-0207), NSF (DMREF-1629026), ONR (N00014-14-1-0714), and the MURI program (FA9550-12-1-0458, FA9550-16-1-0566). MSC2010: primary 82-02; secondary 20H15, 35Q60, 51F25, 70H33, 78A45. Keywords: Atomic structure, symmetry, objective structures, isometry groups, molecular dynamics, invariant manifold, Boltzmann equation, homoenergetic solutions, Maxwell’s equations, non-equilibrium statistical mechanics, X-ray methods.
Publisher Copyright:
© ICM 2018.All rights reserved.
Keywords
- Atomic structure
- Boltzmann equation
- Homoenergetic solutions
- Invariant manifold
- Isometry groups
- Maxwell’s equations
- Molecular dynamics
- Non-equilibrium statistical mechanics
- Objective structures
- Symmetry
- X-ray methods