Lieb-Robinson Bounds for the Toda Lattice

Umar Islambekov, Robert Sims, Gerald Teschl

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We establish locality estimates, known as Lieb-Robinson bounds, for the Toda lattice. In contrast to harmonic models, the Lieb-Robinson velocity for these systems do depend on the initial condition. Our results also apply to the entire Toda as well as the Kac-van Moerbeke hierarchy. Under suitable assumptions, our methods also yield a finite velocity for certain perturbations of these systems.

Original languageEnglish (US)
Pages (from-to)440-479
Number of pages40
JournalJournal of Statistical Physics
Issue number3
StatePublished - Aug 2012


  • Lieb-Robinson bound
  • Toda lattice

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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