Diffusions with Bessel-like drifts

Yuji Kasahara; Shin’ichi Kotani

doi:10.1215/21562261-3157739

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Home > Journals > Kyoto J. Math. > Volume 55 > Issue 4 > Article

December 2015 Diffusions with Bessel-like drifts

Yuji Kasahara, Shin’ichi Kotani

Kyoto J. Math. 55(4): 773-797 (December 2015). DOI: 10.1215/21562261-3157739

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Abstract

Linear diffusions which are not far from Bessel diffusions are considered. Specifically, the regular variation of Feller’s canonical measure is interpreted in terms of the drift coefficient. As an application, the asymptotic behavior of the transition probability at large times is discussed.

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Yuji Kasahara. Shin’ichi Kotani. "Diffusions with Bessel-like drifts." Kyoto J. Math. 55 (4) 773 - 797, December 2015. https://doi.org/10.1215/21562261-3157739