PreprintCC BY 4.0HAL
Dispersive decay and scattering for continuum Calogero--Moser models
Abstract
We prove pointwise decay and scattering for small-mass solutions to the focusing and defocusing continuum Calogero--Moser models under suitable decay assumptions on the initial data. Our proof is based on an explicit formula for solutions and the exact conservation of the Galilean vector field associated to the equation.
Related
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- Uniform-in-Time Approximation of Calogero-Moser Particles by Continuum Multisolitons
- Equivalence of superintegrable Poisson projection chains: magnetic cotangent bundles and spin Calogero-Moser models
- Calogero-Moser Polynomial Approximations and Dwork Congruences for Complete Flags
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BibTeX
@misc{killip2026dispersive,
title = {{Dispersive decay and scattering for continuum Calogero--Moser models}},
author = {Rowan Killip and Thierry Laurens and Jason Murphy and Monica Vişan},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12985},
eprint = {2609.12985},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05770063v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dispersive decay and scattering for continuum Calogero--Moser models
AU - Rowan Killip
AU - Thierry Laurens
AU - Jason Murphy
AU - Monica Vişan
PY - 2026
DA - 2026/09/29
PB - HAL
DO - 10.48550/arxiv.2609.12985
UR - https://hal.science/hal-05770063v1
AB - We prove pointwise decay and scattering for small-mass solutions to the focusing and defocusing continuum Calogero--Moser models under suitable decay assumptions on the initial data. Our proof is based on an explicit formula for solutions and the exact conservation of the Galilean vector field associated to the equation.
ER -