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# Uniqueness for an inviscid stochastic dyadic model on a tree

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### Abstract

In this paper we prove that the lack of uniqueness for solutions of the tree dyadic model of turbulence is overcome with the introduction of a suitable noise. The uniqueness is a weak probabilistic uniqueness for all $$l^2$$-initial conditions and is proven using a technique relying on the properties of the $$q$$-matrix associated to a continuous time Markov chain.

### Most cited references7

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### Continuous-Time Markov Chains

(1991)
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### Some Rigorous Results on a Stochastic GOY Model

(2006)
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### Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise

(2007)
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### Author and article information

###### Journal
30 January 2013
1301.7247 10.1214/ECP.v18-2382