{"doi":"http://dx.doi.org/10.1016/j.spa.2018.05.012","page":"1659-1696","publication_status":"published","issue":"5","date_created":"2022-09-12T07:46:44Z","abstract":[{"lang":"eng","text":"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)."}],"type":"journal_article","date_updated":"2022-09-12T07:46:47Z","publication":"Stochastic Processes and their Applications","language":[{"iso":"eng"}],"volume":129,"title":"Quasistationary distributions for one-dimensional diffusions with two singular boundary points","_id":"33334","department":[{"_id":"96"}],"user_id":"85821","citation":{"short":"A. Hening, M. Kolb, Stochastic Processes and Their Applications 129 (2019) 1659–1696.","chicago":"Hening, Alexandru, and Martin Kolb. “Quasistationary Distributions for One-Dimensional Diffusions with Two Singular Boundary Points.” <i>Stochastic Processes and Their Applications</i> 129, no. 5 (2019): 1659–96. <a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>.","bibtex":"@article{Hening_Kolb_2019, title={Quasistationary distributions for one-dimensional diffusions with two singular boundary points}, volume={129}, DOI={<a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>}, number={5}, journal={Stochastic Processes and their Applications}, publisher={Bernoulli Society for Mathematical Statistics and Probability}, author={Hening, Alexandru and Kolb, Martin}, year={2019}, pages={1659–1696} }","apa":"Hening, A., &#38; Kolb, M. (2019). Quasistationary distributions for one-dimensional diffusions with two singular boundary points. <i>Stochastic Processes and Their Applications</i>, <i>129</i>(5), 1659–1696. <a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>","ieee":"A. Hening and M. Kolb, “Quasistationary distributions for one-dimensional diffusions with two singular boundary points,” <i>Stochastic Processes and their Applications</i>, vol. 129, no. 5, pp. 1659–1696, 2019, doi: <a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>.","mla":"Hening, Alexandru, and Martin Kolb. “Quasistationary Distributions for One-Dimensional Diffusions with Two Singular Boundary Points.” <i>Stochastic Processes and Their Applications</i>, vol. 129, no. 5, Bernoulli Society for Mathematical Statistics and Probability, 2019, pp. 1659–96, doi:<a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>.","ama":"Hening A, Kolb M. Quasistationary distributions for one-dimensional diffusions with two singular boundary points. <i>Stochastic Processes and their Applications</i>. 2019;129(5):1659-1696. doi:<a href=\"http://dx.doi.org/10.1016/j.spa.2018.05.012\">http://dx.doi.org/10.1016/j.spa.2018.05.012</a>"},"year":"2019","status":"public","intvolume":"       129","publisher":"Bernoulli Society for Mathematical Statistics and Probability","author":[{"first_name":"Alexandru","last_name":"Hening","full_name":"Hening, Alexandru"},{"full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin"}]}