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math.PR2017★ 11 cited
Quantitative Boltzmann Gibbs principles via orthogonal polynomial duality
Mario Ayala, Gioia Carinci, Frank Redig
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 fi…
math.PR2017★ 1 cited
Exact formulas for two interacting particles and applications in particle systems with duality
Gioia Carinci, Cristian Giardina, Frank Redig
We consider two particles performing continuous-time nearest neighbor random walk on and interacting with each other when they are at neighboring positions. Typical exa…