The Stability of some stochastic processes

Details The Stability of some stochastic processes The Stability of some stochastic processes

2010-12-15

arxiv.org/abs/1012.3202v2

Physics

Mathematical Physics

Scientific paper

We formulate and prove a new criterion for stability of e-processes. It says that any e-process which is averagely bounded and concentrating is asymptotically stable. In the second part, we show how this general result applies to some shell models (the Goy and the Sabra model). Indeed, we manage to prove that the processes corresponding to these models satisfy the e-process property. They are also averagely bounded and concentrating. Consequently, their stability follows.

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