If I have a stochastic process $\{X_t\}$ such that $P(X_t\geq X_{t+1})=1$.
From the monotony of the process can I conclude that
$lim_{t\to +\infty}X_t$ exists almost surely?
Thank you very much
2026-02-22 21:49:54.1771796994
Almost surely convergence of a monotone stochastic process
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