Hydrodynamics of the Generalized N-urn Ehrenfest Model

Moderate deviations of generalized $N$-urn Ehrenfest models

“…In this paper we will prove a moderate deviation principle from the hydrodynamic limit of the generalized N -urn Ehrenfest model introduced in [7]. We first recall the definition of the model.…”

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This paper is a further investigation of the generalized N -urn Ehrenfest model introduced in [7]. A moderate deviation principle from the hydrodynamic limit of the model is derived.

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Hydrodynamics of a class of $N$-urn linear systems

“…Theorem 2.2 shows that the hydrodynamic limit of our linear system {X N t } t≥0 is driven by a (C[0, 1]) ′ -valued ordinary differential equation. An analogue result for the N -urn Ehrenfest model is given in Theorem 2.3 of [11].…”

“…According to an analysis similar with those in the proof of Theorem 1.4 of [2] and Appendix A.2 of [11], for any t > s and…”

“…So far, investigations of hydrodynamics of interacting particle systems on N -urns are mainly concerned with the Ehrenfest model, where particles perform independent random walks between N -urns. Hydrodynamic limits and corresponding fluctuations, large and moderate deviations of generalized N -urn Ehrenfest models are given in [11] and [8]. It is more important to investigate cases where interactions are among particles.…”