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20052025
most citedNon-exponential stability and decay rates in nonlinear stochastic difference equation with unbounded noises

38 citations · 117 across the 22 of their papers we have counts for

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math.PR2005★ 18 cited

Almost Sure Convergence of Solutions to Non-Homogeneous Stochastic Difference Equation

Gregory Berkolaiko, Alexandra Rodkina

We consider a non-homogeneous nonlinear stochastic difference equation X_{n+1} = X_n (1 + f(X_n)ξ_{n+1}) + S_n, and its important special case X_{n+1} = X_n (1 + ξ_{n+1}) + S_n, bo…