On the use of the deterministic Lyapunov function for the erogdicity of stochastic difference equations

Chan, K.S; and Tong, Howell (1985) On the use of the deterministic Lyapunov function for the erogdicity of stochastic difference equations. Advances in Applied Probability, 17 (3). pp. 666-678. ISSN 0001-8678
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We have shown that within the setting of a difference equation it is possible to link ergodicity with stability via the physical notion of energy in the form of a Lyapunov function.

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