@article{33334,
  abstract     = {{In the present work we characterize the existence of quasistationary distributions for diffusions on (0,∞) allowing singular behavior at 0 and ∞. If absorption at 0 is certain, we show that there exists a quasistationary distribution as soon as the spectrum of the generator is strictly positive. This complements results of Collet et al. and Kolb/Steinsaltz for 0 being a regular boundary point and extends results by Collet et al. on singular diffusions. We also study the existence and uniqueness of quasistationary distributions for a class of one-dimensional diffusions with killing that arise from a biological example and which have two inaccessible boundary points (more specifically 0 is natural and ∞ is entrance).}},
  author       = {{Hening, Alexandru and Kolb, Martin}},
  journal      = {{Stochastic Processes and their Applications}},
  number       = {{5}},
  pages        = {{1659--1696}},
  publisher    = {{Bernoulli Society for Mathematical Statistics and Probability}},
  title        = {{{Quasistationary distributions for one-dimensional diffusions with two singular boundary points}}},
  doi          = {{http://dx.doi.org/10.1016/j.spa.2018.05.012}},
  volume       = {{129}},
  year         = {{2019}},
}