%0 Journal Article
%T On $ h $-transforms of one-dimensional diffusions stopped upon hitting zero
%A Kouji Yano
%A Yuko Yano
%J Mathematics
%D 2014
%I arXiv
%X For a one-dimensional diffusion on an interval for which 0 is the regular-reflecting left boundary, three kinds of conditionings to avoid zero are studied. The limit processes are $ h $-transforms of the process stopped upon hitting zero, where $ h $'s are the ground state, the scale function, and the renormalized zero-resolvent. Several properties of the $ h $-transforms are investigated.
%U http://arxiv.org/abs/1409.3112v2