---
_id: '10797'
abstract:
- lang: eng
  text: We consider symmetric partial exclusion and inclusion processes in a general
    graph in contact with reservoirs, where we allow both for edge disorder and well-chosen
    site disorder. We extend the classical dualities to this context and then we derive
    new orthogonal polynomial dualities. From the classical dualities, we derive the
    uniqueness of the non-equilibrium steady state and obtain correlation inequalities.
    Starting from the orthogonal polynomial dualities, we show universal properties
    of n-point correlation functions in the non-equilibrium steady state for systems
    with at most two different reservoir parameters, such as a chain with reservoirs
    at left and right ends.
- lang: fre
  text: Nous considérons des processus d’exclusion partielle, et des processus d’inclusion
    sur un graphe général en contact avec des réservoirs. Nous autorisons la présence
    de inhomogenéités sur les arrêts ainsi que sur les sommets du graph. Nous généralisons
    les “dualités classiques” dans ce contexte et nous démontrons des nouvelles dualités
    orthogonales. À partir des dualités classiques, nous démontrons l’unicité de l’état
    stationnaire non-équilibre, ainsi que des inégalités de corrélation. À partir
    des dualités orthogonales nous démontrons des propriétés universelles des fonctions
    de corrélation à n points dans l’état stationnaire non-équilibre pour des systèmes
    avec deux paramètres de réservoirs inégaux, comme par exemple une chaîne avec
    des réservoirs à droite et à gauche.
acknowledgement: The authors would like to thank Gioia Carinci and Cristian Giardinà
  for useful discussions. F.R. and S.F. thank Jean-René Chazottes for a stay at CPHT
  (Institut Polytechnique de Paris), in the realm of Chaire d’Alembert (Paris-Saclay
  University), where part of this work was performed. S.F. acknowledges Simona Villa
  for her support in creating the picture. S.F. acknowledges financial support from
  NWO via the grant TOP1.17.019. F.S. acknowledges financial support from the European
  Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie
  grant agreement No. 754411.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Simone
  full_name: Floreani, Simone
  last_name: Floreani
- first_name: Frank
  full_name: Redig, Frank
  last_name: Redig
- first_name: Federico
  full_name: Sau, Federico
  id: E1836206-9F16-11E9-8814-AEFDE5697425
  last_name: Sau
citation:
  ama: Floreani S, Redig F, Sau F. Orthogonal polynomial duality of boundary driven
    particle systems and non-equilibrium correlations. <i>Annales de l’institut Henri
    Poincare (B) Probability and Statistics</i>. 2022;58(1):220-247. doi:<a href="https://doi.org/10.1214/21-AIHP1163">10.1214/21-AIHP1163</a>
  apa: Floreani, S., Redig, F., &#38; Sau, F. (2022). Orthogonal polynomial duality
    of boundary driven particle systems and non-equilibrium correlations. <i>Annales
    de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of
    Mathematical Statistics. <a href="https://doi.org/10.1214/21-AIHP1163">https://doi.org/10.1214/21-AIHP1163</a>
  chicago: Floreani, Simone, Frank Redig, and Federico Sau. “Orthogonal Polynomial
    Duality of Boundary Driven Particle Systems and Non-Equilibrium Correlations.”
    <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute
    of Mathematical Statistics, 2022. <a href="https://doi.org/10.1214/21-AIHP1163">https://doi.org/10.1214/21-AIHP1163</a>.
  ieee: S. Floreani, F. Redig, and F. Sau, “Orthogonal polynomial duality of boundary
    driven particle systems and non-equilibrium correlations,” <i>Annales de l’institut
    Henri Poincare (B) Probability and Statistics</i>, vol. 58, no. 1. Institute of
    Mathematical Statistics, pp. 220–247, 2022.
  ista: Floreani S, Redig F, Sau F. 2022. Orthogonal polynomial duality of boundary
    driven particle systems and non-equilibrium correlations. Annales de l’institut
    Henri Poincare (B) Probability and Statistics. 58(1), 220–247.
  mla: Floreani, Simone, et al. “Orthogonal Polynomial Duality of Boundary Driven
    Particle Systems and Non-Equilibrium Correlations.” <i>Annales de l’institut Henri
    Poincare (B) Probability and Statistics</i>, vol. 58, no. 1, Institute of Mathematical
    Statistics, 2022, pp. 220–47, doi:<a href="https://doi.org/10.1214/21-AIHP1163">10.1214/21-AIHP1163</a>.
  short: S. Floreani, F. Redig, F. Sau, Annales de l’institut Henri Poincare (B) Probability
    and Statistics 58 (2022) 220–247.
date_created: 2022-02-27T23:01:50Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2025-04-14T07:43:48Z
day: '01'
department:
- _id: JaMa
doi: 10.1214/21-AIHP1163
ec_funded: 1
external_id:
  arxiv:
  - '2007.08272'
  isi:
  - '000752489300010'
fulldoi: https://doi.org/10.1214/21-AIHP1163
intvolume: '        58'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2007.08272
month: '02'
oa: 1
oa_version: Preprint
page: 220-247
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Annales de l'institut Henri Poincare (B) Probability and Statistics
publication_identifier:
  issn:
  - 0246-0203
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium
  correlations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2022'
...