---
OA_place: repository
OA_type: green
_id: '22063'
abstract:
- lang: eng
  text: 'We consider two discrete completely integrable evolutions: the Toda Lattice
    and the Ablowitz–Ladik system. The principal thrust of the paper is the development
    of microscopic conservation laws that witness the conservation of the perturbation
    determinant under these dynamics. In this way, we obtain discrete analogues of
    objects that we found essential in our recent analyses of KdV, NLS, and mKdV.
    In concert with this, we revisit the classical topic of microscopic conservation
    laws attendant to the (renormalized) trace of the Green’s function.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Benjamin
  full_name: Harrop-Griffiths, Benjamin
  last_name: Harrop-Griffiths
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Harrop-Griffiths B, Killip R, Vişan M. Microscopic conservation laws for integrable
    lattice models. <i>Monatshefte für Mathematik</i>. 2021;196(3):477-504. doi:<a
    href="https://doi.org/10.1007/s00605-021-01529-5">10.1007/s00605-021-01529-5</a>
  apa: Harrop-Griffiths, B., Killip, R., &#38; Vişan, M. (2021). Microscopic conservation
    laws for integrable lattice models. <i>Monatshefte Für Mathematik</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s00605-021-01529-5">https://doi.org/10.1007/s00605-021-01529-5</a>
  chicago: Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Microscopic
    Conservation Laws for Integrable Lattice Models.” <i>Monatshefte Für Mathematik</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1007/s00605-021-01529-5">https://doi.org/10.1007/s00605-021-01529-5</a>.
  ieee: B. Harrop-Griffiths, R. Killip, and M. Vişan, “Microscopic conservation laws
    for integrable lattice models,” <i>Monatshefte für Mathematik</i>, vol. 196, no.
    3. Springer Nature, pp. 477–504, 2021.
  ista: Harrop-Griffiths B, Killip R, Vişan M. 2021. Microscopic conservation laws
    for integrable lattice models. Monatshefte für Mathematik. 196(3), 477–504.
  mla: Harrop-Griffiths, Benjamin, et al. “Microscopic Conservation Laws for Integrable
    Lattice Models.” <i>Monatshefte Für Mathematik</i>, vol. 196, no. 3, Springer
    Nature, 2021, pp. 477–504, doi:<a href="https://doi.org/10.1007/s00605-021-01529-5">10.1007/s00605-021-01529-5</a>.
  short: B. Harrop-Griffiths, R. Killip, M. Vişan, Monatshefte Für Mathematik 196
    (2021) 477–504.
das_tickbox: '1'
date_created: 2026-06-19T08:12:18Z
date_published: 2021-11-01T00:00:00Z
date_updated: 2026-06-30T07:03:12Z
day: '01'
doi: 10.1007/s00605-021-01529-5
extern: '1'
external_id:
  arxiv:
  - '2012.04782'
intvolume: '       196'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.04782
month: '11'
oa: 1
oa_version: Preprint
page: 477-504
publication: Monatshefte für Mathematik
publication_identifier:
  eissn:
  - 1436-5081
  issn:
  - 0026-9255
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Microscopic conservation laws for integrable lattice models
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 196
year: '2021'
...