[{"external_id":{"arxiv":["2012.04782"]},"OA_place":"repository","arxiv":1,"day":"01","article_type":"original","publication_identifier":{"eissn":["1436-5081"],"issn":["0026-9255"]},"title":"Microscopic conservation laws for integrable lattice models","date_updated":"2026-06-30T07:03:12Z","author":[{"last_name":"Harrop-Griffiths","first_name":"Benjamin","full_name":"Harrop-Griffiths, Benjamin"},{"full_name":"Killip, Rowan","last_name":"Killip","first_name":"Rowan"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan"}],"doi":"10.1007/s00605-021-01529-5","citation":{"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.","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>.","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>","ista":"Harrop-Griffiths B, Killip R, Vişan M. 2021. Microscopic conservation laws for integrable lattice models. Monatshefte für Mathematik. 196(3), 477–504.","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>","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>.","short":"B. Harrop-Griffiths, R. Killip, M. Vişan, Monatshefte Für Mathematik 196 (2021) 477–504."},"volume":196,"scopus_import":"1","quality_controlled":"1","oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2012.04782","open_access":"1"}],"extern":"1","_id":"22063","oa":1,"type":"journal_article","page":"477-504","date_published":"2021-11-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","article_processing_charge":"No","year":"2021","intvolume":"       196","language":[{"iso":"eng"}],"OA_type":"green","publisher":"Springer Nature","date_created":"2026-06-19T08:12:18Z","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."}],"month":"11","publication":"Monatshefte für Mathematik","status":"public","das_tickbox":"1","issue":"3"}]