Titlebook: Recent Developments in Stochastic Methods and Applications; ICSM-5, Moscow, Russ Albert N. Shiryaev,Konstantin E. Samouylov,Dmitry Confere

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On Positive Recurrence of One-Dimensional Diffusions with Independent Switchingstablished under suitable conditions on the drift in both regimes and on the intensities of switching. The approach is based on an embedded Markov chain with alternating jumps: one jump increases the average of the square norm of the process, while the next jump decreases it, and under suitable balance conditions this implies positive recurrence.

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/r/image/823223.jpg

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https://doi.org/10.1007/978-3-030-83266-7Stochastic analysis; Asymptotic methods; Limit theorems; Applied Probability; Machine Learning; Data Anal

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