Consistent particle systems and duality

DOI10.1214/21-EJP684zbMath1491.60172arXiv1907.10583OpenAlexW3204495052MaRDI QIDQ2076611

Gioia Carinci, Cristian Giardinà, Frank Redig

Publication date: 22 February 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10583

zbMATH Keywords

dualityinteracting particle systemssymmetric exclusion processboundary driven systemsnon-equilibrium stationary measuresymmetric inclusion process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (2)

Exact solution of an integrable non-equilibrium particle system ⋮ Orthogonal intertwiners for infinite particle systems in the continuum

Cites Work

• Duality for stochastic models of transport
• Correlation inequalities for interacting particle systems with duality
• Entropy of open lattice systems
• Mathematical methods for hydrodynamic limits
• Factorized duality, stationary product measures and generating functions
• Orthogonal stochastic duality functions from Lie algebra representations
• Duality and hidden symmetries in interacting particle systems
• On the notion(s) of duality for Markov processes
• Duality and exact correlations for a model of heat conduction
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP
• Unnamed Item

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