Abstract
We show necessary and sufficient conditions for $R$-recurrence and \mbox{$R$-positivity} of one-dimensional diffusions killed at the origin. These conditions are stated in terms of the bottom eigenvalue function.
Citation
Servet Martínez. Jaime San Martín. "Classification of killed one-dimensional diffusions." Ann. Probab. 32 (1A) 530 - 552, January 2004. https://doi.org/10.1214/aop/1078415844
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