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We establish a symmetry in a variety of integrable stochastic systems: Certain multi-point distributions of natural observables are unchanged under a shift of a subset of observation points.
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J. Quastel, Introduction to KPZ, Current developments in mathematics 2011 (1)
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A. Borodin, On a family of symmetric rational functions, Advances in Mathematics, 306 (2017), 973–1018
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A. Borodin, L. Petrov, Higher spin six vertex model and symmetric rational functions. Selecta Mathematica, 24, no. 2 (2018), 751–874
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