%0 Journal Article %1 ayala2017quantitative %A Ayala, Mario %A Carinci, Gioia %A Redig, Frank %D 2017 %K particle-system %T Quantitative Boltzmann Gibbs principles via orthogonal polynomial duality %U http://arxiv.org/abs/1712.08492 %X We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can be quantified. This implies a quantitative generalization of the Boltzmann Gibbs principle. In the context of independent random walkers, we complete this program, including also fluctuation fields in non-stationary context (local equilibrium). For other interacting particle systems with duality such as the symmetric exclusion process, similar results can be obtained, under precise conditions on the $n$ particle dynamics

@article{ayala2017quantitative, abstract = {We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can be quantified. This implies a quantitative generalization of the Boltzmann Gibbs principle. In the context of independent random walkers, we complete this program, including also fluctuation fields in non-stationary context (local equilibrium). For other interacting particle systems with duality such as the symmetric exclusion process, similar results can be obtained, under precise conditions on the $n$ particle dynamics}, added-at = {2017-12-26T17:17:31.000+0100}, author = {Ayala, Mario and Carinci, Gioia and Redig, Frank}, biburl = {https://www.bibsonomy.org/bibtex/2568f777dbe70343083f55bc1e0a8e2a6/claired}, description = {Quantitative Boltzmann Gibbs principles via orthogonal polynomial duality}, interhash = {26625ca67eea36d190025ddcb144edd1}, intrahash = {568f777dbe70343083f55bc1e0a8e2a6}, keywords = {particle-system}, note = {cite arxiv:1712.08492Comment: 24 pages}, timestamp = {2017-12-26T17:17:31.000+0100}, title = {Quantitative Boltzmann Gibbs principles via orthogonal polynomial duality}, url = {http://arxiv.org/abs/1712.08492}, year = 2017 }