[2304.04657] On the sturdy stability of ergodic iterations

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Obtain a PDF of the paper titled On the sturdy stability of ergodic iterations, by L’aszl’o Gy”orfi and a couple of different authors

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Summary:We revisit processes generated by iterated random capabilities pushed by a stationary and ergodic sequence. Such a course of is known as strongly secure if a random initialization exists, for which the method is stationary and ergodic, and for some other initialization, the distinction between the 2 processes converges to zero nearly absolutely. Beneath some delicate situations on the corresponding recursive map, with none situation on the driving sequence, we present the sturdy stability of iterations. A number of functions are surveyed reminiscent of generalized autoregression and queuing. Moreover, new outcomes are deduced for Langevin-type iterations with dependent noise and for multitype branching processes.

Submission historical past

From: Attila Lovas [view email]
[v1]
Mon, 10 Apr 2023 15:33:56 UTC (15 KB)
[v2]
Tue, 18 Apr 2023 14:47:46 UTC (16 KB)
[v3]
Mon, 15 Jan 2024 15:27:20 UTC (16 KB)
[v4]
Mon, 5 Feb 2024 11:54:01 UTC (18 KB)



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