Yamato, Kosuke A unifying approach to non-minimal quasi-stationary distributions for one-dimensional diffusions. (English) Zbl 07616204 J. Appl. Probab. 59, No. 4, 1106-1128 (2022). MSC: 60J60 60B10 60E07 PDF BibTeX XML Cite \textit{K. Yamato}, J. Appl. Probab. 59, No. 4, 1106--1128 (2022; Zbl 07616204) Full Text: DOI arXiv OpenURL
Tough, Oliver; Nolen, James The Fleming-Viot process with McKean-Vlasov dynamics. (English) Zbl 1498.60392 Electron. J. Probab. 27, Paper No. 101, 72 p. (2022). MSC: 60K35 35K55 35Q84 60H10 60J80 82C22 PDF BibTeX XML Cite \textit{O. Tough} and \textit{J. Nolen}, Electron. J. Probab. 27, Paper No. 101, 72 p. (2022; Zbl 1498.60392) Full Text: DOI arXiv Link OpenURL
Budhiraja, Amarjit; Fraiman, Nicolas; Waterbury, Adam Asymptotics of quasi-stationary distributions of small noise stochastic dynamical systems in unbounded domains. (English) Zbl 1486.60088 Adv. Appl. Probab. 54, No. 1, 64-110 (2022). MSC: 60J10 34F05 60F10 92D25 PDF BibTeX XML Cite \textit{A. Budhiraja} et al., Adv. Appl. Probab. 54, No. 1, 64--110 (2022; Zbl 1486.60088) Full Text: DOI arXiv OpenURL
Budhiraja, Amarjit; Fraiman, Nicolas; Waterbury, Adam Approximating quasi-stationary distributions with interacting reinforced random walks. (English) Zbl 1482.60097 ESAIM, Probab. Stat. 26, 69-125 (2022). MSC: 60J10 34F05 60F10 92D25 PDF BibTeX XML Cite \textit{A. Budhiraja} et al., ESAIM, Probab. Stat. 26, 69--125 (2022; Zbl 1482.60097) Full Text: DOI arXiv OpenURL
Champagnat, Nicolas; Schott, René; Villemonais, Denis Analysis of distributed systems via quasi-stationary distributions. (English) Zbl 1480.60208 Stochastic Anal. Appl. 39, No. 6, 981-998 (2021). MSC: 60J20 68W15 PDF BibTeX XML Cite \textit{N. Champagnat} et al., Stochastic Anal. Appl. 39, No. 6, 981--998 (2021; Zbl 1480.60208) Full Text: DOI Link OpenURL
Schreiber, Sebastian J.; Huang, Shuo; Jiang, Jifa; Wang, Hao Extinction and quasi-stationarity for discrete-time, endemic SIS and SIR models. (English) Zbl 1471.92346 SIAM J. Appl. Math. 81, No. 5, 2195-2217 (2021). MSC: 92D30 34D20 60J20 PDF BibTeX XML Cite \textit{S. J. Schreiber} et al., SIAM J. Appl. Math. 81, No. 5, 2195--2217 (2021; Zbl 1471.92346) Full Text: DOI arXiv OpenURL
Benaïm, Michel; Champagnat, Nicolas; Villemonais, Denis Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain. (English. French summary) Zbl 1472.60136 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 2, 726-739 (2021). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J60 60B10 60B12 60F99 60J70 PDF BibTeX XML Cite \textit{M. Benaïm} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 2, 726--739 (2021; Zbl 1472.60136) Full Text: DOI arXiv OpenURL
Ben-Ari, Iddo; Panzo, Hugo; Speegle, Philip; VandenBerg, R. Oliver Quasi-stationary distributions for the voter model on complete bipartite graphs. (English) Zbl 1465.60013 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 421-437 (2021). MSC: 60E05 60F99 60J90 PDF BibTeX XML Cite \textit{I. Ben-Ari} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 421--437 (2021; Zbl 1465.60013) Full Text: arXiv Link OpenURL
Martínez, Servet Entropy of killed-resurrected stationary Markov chains. (English) Zbl 1476.60119 J. Appl. Probab. 58, No. 1, 177-196 (2021). Reviewer: Joost-Pieter Katoen (Aachen) MSC: 60J10 28D20 PDF BibTeX XML Cite \textit{S. Martínez}, J. Appl. Probab. 58, No. 1, 177--196 (2021; Zbl 1476.60119) Full Text: DOI OpenURL
Champagnat, Nicolas; Villemonais, Denis Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution. (English) Zbl 1458.37009 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 1-15 (2021). MSC: 37A60 37A50 37A25 60K35 PDF BibTeX XML Cite \textit{N. Champagnat} and \textit{D. Villemonais}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 1--15 (2021; Zbl 1458.37009) Full Text: arXiv Link OpenURL
Mailler, Cécile; Villemonais, Denis Stochastic approximation on noncompact measure spaces and application to measure-valued Pólya processes. (English) Zbl 1461.62147 Ann. Appl. Probab. 30, No. 5, 2393-2438 (2020). MSC: 62L20 62R40 60J25 60J80 PDF BibTeX XML Cite \textit{C. Mailler} and \textit{D. Villemonais}, Ann. Appl. Probab. 30, No. 5, 2393--2438 (2020; Zbl 1461.62147) Full Text: DOI arXiv Euclid OpenURL
Ocafrain, William Quasi-stationarity for one-dimensional renormalized Brownian motion. (English) Zbl 1454.60127 ESAIM, Probab. Stat. 24, 661-687 (2020). MSC: 60J65 60B05 60E05 60F99 60J50 PDF BibTeX XML Cite \textit{W. Ocafrain}, ESAIM, Probab. Stat. 24, 661--687 (2020; Zbl 1454.60127) Full Text: DOI arXiv OpenURL
Champagnat, Nicolas; Villemonais, Denis Practical criteria for \(R\)-positive recurrence of unbounded semigroups. (English) Zbl 1434.60173 Electron. Commun. Probab. 25, Paper No. 6, 11 p. (2020); erratum ibid. 25, Paper No. 31, 2 p. (2020). MSC: 60J05 60J25 47A35 PDF BibTeX XML Cite \textit{N. Champagnat} and \textit{D. Villemonais}, Electron. Commun. Probab. 25, Paper No. 6, 11 p. (2020; Zbl 1434.60173) Full Text: DOI arXiv Euclid OpenURL
Champagnat, Nicolas; Villemonais, Denis Erratum: “Practical criteria for \(R\)-positive recurrence of unbounded semigroups”. (English) Zbl 1441.60055 Electron. Commun. Probab. 25, Paper No. 31, 2 p. (2020). MSC: 60J05 60J25 47A35 PDF BibTeX XML Cite \textit{N. Champagnat} and \textit{D. Villemonais}, Electron. Commun. Probab. 25, Paper No. 31, 2 p. (2020; Zbl 1441.60055) Full Text: DOI Euclid OpenURL
Cérou, Frédéric; Delyon, Bernard; Guyader, Arnaud; Rousset, Mathias A central limit theorem for Fleming-Viot particle systems. (English. French summary) Zbl 1447.82021 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 637-666 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C22 82M31 65C05 60J25 60J80 60K35 60K37 60F05 PDF BibTeX XML Cite \textit{F. Cérou} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 637--666 (2020; Zbl 1447.82021) Full Text: DOI arXiv Euclid OpenURL
Nåsell, Ingemar Approximations of cumulants of the stochastic power law logistic model. (English) Zbl 1432.92081 Bull. Math. Biol. 82, No. 2, Paper No. 19, 35 p. (2020). MSC: 92D25 34F05 PDF BibTeX XML Cite \textit{I. Nåsell}, Bull. Math. Biol. 82, No. 2, Paper No. 19, 35 p. (2020; Zbl 1432.92081) Full Text: DOI arXiv OpenURL
Le Peutrec, Dorian; Nectoux, Boris Repartition of the quasi-stationary distribution and first exit point density for a double-well potential. (English) Zbl 1430.35175 SIAM J. Math. Anal. 52, No. 1, 581-604 (2020). MSC: 35P15 60J60 35J10 82C31 35P20 47F05 35Q82 PDF BibTeX XML Cite \textit{D. Le Peutrec} and \textit{B. Nectoux}, SIAM J. Math. Anal. 52, No. 1, 581--604 (2020; Zbl 1430.35175) Full Text: DOI arXiv OpenURL
Mao, Yonghua Stationarity and quasi-stationarity for birth-death processes. (Chinese. English summary) Zbl 1499.60293 Sci. Sin., Math. 49, No. 3, 467-484 (2019). MSC: 60J80 60E07 PDF BibTeX XML Cite \textit{Y. Mao}, Sci. Sin., Math. 49, No. 3, 467--484 (2019; Zbl 1499.60293) Full Text: DOI OpenURL
Groisman, Pablo; Jonckheere, Matthieu Front propagation and quasi-stationary distributions: two faces of the same coin. (English) Zbl 1448.60171 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. III. Interacting particle systems and random walks, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 300, 242-254 (2019). MSC: 60J80 60J65 35Q92 35C07 92D25 PDF BibTeX XML Cite \textit{P. Groisman} and \textit{M. Jonckheere}, Springer Proc. Math. Stat. 300, 242--254 (2019; Zbl 1448.60171) Full Text: DOI OpenURL
Avrachenkov, Konstantin; Borkar, Vivek S. Metastability in stochastic replicator dynamics. (English) Zbl 1429.91044 Dyn. Games Appl. 9, No. 2, 366-390 (2019). MSC: 91A22 91A15 60H10 PDF BibTeX XML Cite \textit{K. Avrachenkov} and \textit{V. S. Borkar}, Dyn. Games Appl. 9, No. 2, 366--390 (2019; Zbl 1429.91044) Full Text: DOI arXiv Link OpenURL
Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime Diffusions from infinity. (English) Zbl 1447.60131 Trans. Am. Math. Soc. 372, No. 8, 5781-5823 (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J60 60F05 PDF BibTeX XML Cite \textit{V. Bansaye} et al., Trans. Am. Math. Soc. 372, No. 8, 5781--5823 (2019; Zbl 1447.60131) Full Text: DOI arXiv OpenURL
Wang, Andi Q.; Kolb, Martin; Roberts, Gareth O.; Steinsaltz, David Theoretical properties of quasi-stationary Monte Carlo methods. (English) Zbl 1408.60072 Ann. Appl. Probab. 29, No. 1, 434-457 (2019). MSC: 60J60 65C05 60J70 PDF BibTeX XML Cite \textit{A. Q. Wang} et al., Ann. Appl. Probab. 29, No. 1, 434--457 (2019; Zbl 1408.60072) Full Text: DOI arXiv Euclid OpenURL
Liu, Xin; Mubayi, Anuj; Reinhold, Dominik; Zhu, Liu Approximation methods for analyzing multiscale stochastic vector-borne epidemic models. (English) Zbl 1409.92242 Math. Biosci. 309, 42-65 (2019). MSC: 92D30 PDF BibTeX XML Cite \textit{X. Liu} et al., Math. Biosci. 309, 42--65 (2019; Zbl 1409.92242) Full Text: DOI arXiv OpenURL
Guo, Guangbao; Allison, James; Zhu, Lixing Bootstrap maximum likelihood for quasi-stationary distributions. (English) Zbl 1434.62060 J. Nonparametric Stat. 31, No. 1, 64-87 (2019). Reviewer: Pavel Stoynov (Sofia) MSC: 62G09 62D05 PDF BibTeX XML Cite \textit{G. Guo} et al., J. Nonparametric Stat. 31, No. 1, 64--87 (2019; Zbl 1434.62060) Full Text: DOI OpenURL
Champagnat, Nicolas; Coulibaly-Pasquier, Koléhè Abdoulaye; Villemonais, Denis Criteria for exponential convergence to quasi-stationary distributions and applications to multi-dimensional diffusions. (English) Zbl 1452.60050 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLIX. Cham: Springer. Lect. Notes Math. 2215, 165-182 (2018). MSC: 60J60 58J65 60J76 PDF BibTeX XML Cite \textit{N. Champagnat} et al., Lect. Notes Math. 2215, 165--182 (2018; Zbl 1452.60050) Full Text: DOI arXiv OpenURL
Groisman, Pablo; Jonckheere, Matthieu Front propagation and quasi-stationary distributions for one-dimensional Lévy processes. (English) Zbl 1409.60125 Electron. Commun. Probab. 23, Paper No. 93, 11 p. (2018). MSC: 60J68 60J80 60G51 PDF BibTeX XML Cite \textit{P. Groisman} and \textit{M. Jonckheere}, Electron. Commun. Probab. 23, Paper No. 93, 11 p. (2018; Zbl 1409.60125) Full Text: DOI arXiv Euclid OpenURL
Benaim, Michel; Cloez, Bertrand; Panloup, Fabien Stochastic approximation of quasi-stationary distributions on compact spaces and applications. (English) Zbl 06974754 Ann. Appl. Probab. 28, No. 4, 2370-2416 (2018). MSC: 65C20 60B12 60J10 34F05 60J20 60J60 PDF BibTeX XML Cite \textit{M. Benaim} et al., Ann. Appl. Probab. 28, No. 4, 2370--2416 (2018; Zbl 06974754) Full Text: DOI arXiv Euclid OpenURL
Schreiber, Sebastian J. Coexistence in the face of uncertainty. (English) Zbl 1384.92053 Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-6968-5/hbk; 978-1-4939-6969-2/ebook). Fields Institute Communications 79, 349-384 (2017). MSC: 92D25 60J20 PDF BibTeX XML Cite \textit{S. J. Schreiber}, Fields Inst. Commun. 79, 349--384 (2017; Zbl 1384.92053) Full Text: DOI arXiv OpenURL
Cloez, Bertrand; Fritsch, Coralie Gaussian approximations for chemostat models in finite and infinite dimensions. (English) Zbl 1372.60019 J. Math. Biol. 75, No. 4, 805-843 (2017). MSC: 60F05 92D25 60J25 60G57 60B10 60H10 PDF BibTeX XML Cite \textit{B. Cloez} and \textit{C. Fritsch}, J. Math. Biol. 75, No. 4, 805--843 (2017; Zbl 1372.60019) Full Text: DOI arXiv OpenURL
Martínez, Servet A probabilistic analysis of a discrete-time evolution in recombination. (English) Zbl 1371.92088 Adv. Appl. Math. 91, 115-136 (2017); corrigendum ibid. 110, 403-411 (2019). MSC: 92D10 92D15 60J20 PDF BibTeX XML Cite \textit{S. Martínez}, Adv. Appl. Math. 91, 115--136 (2017; Zbl 1371.92088) Full Text: DOI arXiv OpenURL
Buiculescu, Mioara Uniformly integrable potential operators and the existence of quasi-stationary distributions. (English) Zbl 1413.60074 An. Univ. Craiova, Ser. Mat. Inf. 43, No. 1, 21-26 (2016). MSC: 60J25 60J40 PDF BibTeX XML Cite \textit{M. Buiculescu}, An. Univ. Craiova, Ser. Mat. Inf. 43, No. 1, 21--26 (2016; Zbl 1413.60074) OpenURL
Zhu, Yixia Quasi-stationary distributions for absorbing stochastically monotone Markov chains. (English) Zbl 1363.60104 J. East China Norm. Univ., Nat. Sci. Ed. 2016, No. 3, 48-59 (2016). MSC: 60J10 60E07 60J80 PDF BibTeX XML Cite \textit{Y. Zhu}, J. East China Norm. Univ., Nat. Sci. Ed. 2016, No. 3, 48--59 (2016; Zbl 1363.60104) Full Text: DOI OpenURL
Asselah, Amine; Ferrari, Pablo A.; Groisman, Pablo; Jonckheere, Matthieu Fleming-Viot selects the minimal quasi-stationary distribution: the Galton-Watson case. (English. French summary) Zbl 1342.60145 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 647-668 (2016). MSC: 60J80 60K35 60J25 PDF BibTeX XML Cite \textit{A. Asselah} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 647--668 (2016; Zbl 1342.60145) Full Text: DOI arXiv Euclid OpenURL
Cloez, Bertrand; Thai, Marie-Noémie Fleming-Viot processes: two explicit examples. (English) Zbl 1337.60241 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 337-356 (2016). MSC: 60K35 60J27 60G50 60J80 60B10 37A25 05C81 PDF BibTeX XML Cite \textit{B. Cloez} and \textit{M.-N. Thai}, ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 337--356 (2016; Zbl 1337.60241) Full Text: arXiv Link OpenURL
Angeletti, Florian; Touchette, Hugo Diffusions conditioned on occupation measures. (English) Zbl 1335.60144 J. Math. Phys. 57, No. 2, 023303, 16 p. (2016). MSC: 60J60 60H10 60J35 60J65 60K25 60G50 82B31 PDF BibTeX XML Cite \textit{F. Angeletti} and \textit{H. Touchette}, J. Math. Phys. 57, No. 2, 023303, 16 p. (2016; Zbl 1335.60144) Full Text: DOI arXiv Link OpenURL
Cloez, Bertrand; Thai, Marie-Noémie Quantitative results for the Fleming-Viot particle system and quasi-stationary distributions in discrete space. (English) Zbl 1333.60200 Stochastic Processes Appl. 126, No. 3, 680-702 (2016). MSC: 60K35 60B10 37A25 PDF BibTeX XML Cite \textit{B. Cloez} and \textit{M.-N. Thai}, Stochastic Processes Appl. 126, No. 3, 680--702 (2016; Zbl 1333.60200) Full Text: DOI arXiv OpenURL
Coron, Camille Slow-fast stochastic diffusion dynamics and quasi-stationarity for diploid populations with varying size. (English) Zbl 1337.60211 J. Math. Biol. 72, No. 1-2, 171-202 (2016). MSC: 60J80 60J85 60H30 60H10 60J10 60J27 92D25 92D15 PDF BibTeX XML Cite \textit{C. Coron}, J. Math. Biol. 72, No. 1--2, 171--202 (2016; Zbl 1337.60211) Full Text: DOI arXiv OpenURL
Zhang, Hanjun; He, Guoman Existence and construction of quasi-stationary distributions for one-dimensional diffusions. (English) Zbl 1330.60101 J. Math. Anal. Appl. 434, No. 1, 171-181 (2016). MSC: 60J60 60E99 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{G. He}, J. Math. Anal. Appl. 434, No. 1, 171--181 (2016; Zbl 1330.60101) Full Text: DOI arXiv OpenURL
Buiculescu, Mioara Quasi-stationary distributions: an application of the revival technique. (English) Zbl 1389.60090 Rev. Roum. Math. Pures Appl. 60, No. 2, 93-99 (2015). MSC: 60J25 60J40 PDF BibTeX XML Cite \textit{M. Buiculescu}, Rev. Roum. Math. Pures Appl. 60, No. 2, 93--99 (2015; Zbl 1389.60090) OpenURL
Marić, Nevena Fleming-Viot particle system driven by a random walk on \(\mathbb {N}\). (English) Zbl 1360.82035 J. Stat. Phys. 160, No. 3, 548-560 (2015). MSC: 82B41 60K35 PDF BibTeX XML Cite \textit{N. Marić}, J. Stat. Phys. 160, No. 3, 548--560 (2015; Zbl 1360.82035) Full Text: DOI arXiv OpenURL
Binder, Andrew; Lelièvre, Tony; Simpson, Gideon A generalized parallel replica dynamics. (English) Zbl 1352.92187 J. Comput. Phys. 284, 595-616 (2015). MSC: 92E99 92-08 92C40 PDF BibTeX XML Cite \textit{A. Binder} et al., J. Comput. Phys. 284, 595--616 (2015; Zbl 1352.92187) Full Text: DOI arXiv OpenURL
Benaïm, Michel; Cloez, Bertrand A stochastic approximation approach to quasi-stationary distributions on finite spaces. (English) Zbl 1321.65009 Electron. Commun. Probab. 20, Paper No. 37, 13 p. (2015). MSC: 65C20 60B12 60J10 34F05 60J20 PDF BibTeX XML Cite \textit{M. Benaïm} and \textit{B. Cloez}, Electron. Commun. Probab. 20, Paper No. 37, 13 p. (2015; Zbl 1321.65009) Full Text: DOI arXiv OpenURL
Ferrari, Pablo A.; Rolla, Leonardo T. Yaglom limit via Holley inequality. (English) Zbl 1321.60142 Braz. J. Probab. Stat. 29, No. 2, 413-426 (2015). MSC: 60J10 60E15 PDF BibTeX XML Cite \textit{P. A. Ferrari} and \textit{L. T. Rolla}, Braz. J. Probab. Stat. 29, No. 2, 413--426 (2015; Zbl 1321.60142) Full Text: DOI arXiv Euclid OpenURL
Petersson, Mikael Quasi-stationary distributions for perturbed discrete time regenerative processes. (English) Zbl 1335.60165 Theory Probab. Math. Stat. 89, 153-168 (2014); translation from Teor. Jmovirn. Mat. Stat. 89, 140–155 (2013). MSC: 60K05 60F05 34E10 PDF BibTeX XML Cite \textit{M. Petersson}, Theory Probab. Math. Stat. 89, 153--168 (2014; Zbl 1335.60165); translation from Teor. Jmovirn. Mat. Stat. 89, 140--155 (2013) Full Text: DOI OpenURL
Zhang, Junfei; Li, Shoumei; Song, Renming Quasi-stationarity and quasi-ergodicity of general Markov processes. (English) Zbl 1309.60078 Sci. China, Math. 57, No. 10, 2013-2024 (2014). MSC: 60J25 60G20 60J35 60J75 60F25 PDF BibTeX XML Cite \textit{J. Zhang} et al., Sci. China, Math. 57, No. 10, 2013--2024 (2014; Zbl 1309.60078) Full Text: DOI OpenURL
Faure, Mathieu; Schreiber, Sebastian J. Quasi-stationary distributions for randomly perturbed dynamical systems. (English) Zbl 1334.60137 Ann. Appl. Probab. 24, No. 2, 553-598 (2014). MSC: 60J05 60H10 60F10 60J80 37H10 34F05 34K50 92D25 91A22 93E03 PDF BibTeX XML Cite \textit{M. Faure} and \textit{S. J. Schreiber}, Ann. Appl. Probab. 24, No. 2, 553--598 (2014; Zbl 1334.60137) Full Text: DOI arXiv Euclid OpenURL
Groisman, P.; Jonckheere, M. Simulation of quasi-stationary distributions on countable spaces. (English) Zbl 1321.60210 Markov Process. Relat. Fields 19, No. 3, 521-542 (2013). MSC: 60K35 60J25 PDF BibTeX XML Cite \textit{P. Groisman} and \textit{M. Jonckheere}, Markov Process. Relat. Fields 19, No. 3, 521--542 (2013; Zbl 1321.60210) Full Text: arXiv OpenURL
Zhang, Hanjun; Zhu, Yixia Domain of attraction of the quasi-stationary distributions for linear birth and death process with killing. (English) Zbl 1313.60155 Chin. J. Appl. Probab. Stat. 29, No. 6, 561-569 (2013). MSC: 60J80 60E05 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{Y. Zhu}, Chin. J. Appl. Probab. Stat. 29, No. 6, 561--569 (2013; Zbl 1313.60155) OpenURL
Pardo, Juan Carlos; Rivero, Víctor Self-similar Markov processes. (English) Zbl 1311.60042 Bol. Soc. Mat. Mex., III. Ser. 19, No. 2, 201-235 (2013). MSC: 60G18 60J99 60G51 60-02 PDF BibTeX XML Cite \textit{J. C. Pardo} and \textit{V. Rivero}, Bol. Soc. Mat. Mex., III. Ser. 19, No. 2, 201--235 (2013; Zbl 1311.60042) OpenURL
Budhiraja, Amarjit; Reinhold, Dominik Asymptotic results for near critical Bienaymé-Galton-Watson and catalyst-reactant branching processes. (English) Zbl 1277.60137 Englander, Janos (ed.) et al., Advances in superprocesses and nonlinear PDEs. Proceedings of the conference on advances in superprocesses and nonlinear PDEs, Boulder, CO, USA, June 24–26, 2010. New York, NY: Springer (ISBN 978-1-4614-6239-2/hbk; 978-1-4614-6240-8/ebook). Springer Proceedings in Mathematics & Statistics 38, 41-59 (2013). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J80 60F05 PDF BibTeX XML Cite \textit{A. Budhiraja} and \textit{D. Reinhold}, Springer Proc. Math. Stat. 38, 41--59 (2013; Zbl 1277.60137) Full Text: DOI OpenURL
Collet, Pierre; Martínez, Servet; San Martín, Jaime Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. (English) Zbl 1261.60002 Probability and Its Applications. Berlin: Springer (ISBN 978-3-642-33130-5/hbk; 978-3-642-33131-2/ebook). xv, 280 p. (2013). Reviewer: Zoran Vondraček (Zagreb) MSC: 60-02 60J10 60J27 60J60 60J65 60J80 93E03 92Dxx 37Dxx 35Pxx PDF BibTeX XML Cite \textit{P. Collet} et al., Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Berlin: Springer (2013; Zbl 1261.60002) Full Text: DOI OpenURL
Haas, Bénédicte; Rivero, Víctor Quasi-stationary distributions and Yaglom limits of self-similar Markov processes. (English) Zbl 1267.60038 Stochastic Processes Appl. 122, No. 12, 4054-4095 (2012). MSC: 60G18 60F05 60G51 PDF BibTeX XML Cite \textit{B. Haas} and \textit{V. Rivero}, Stochastic Processes Appl. 122, No. 12, 4054--4095 (2012; Zbl 1267.60038) Full Text: DOI arXiv OpenURL
Guo, Guangbao; Zhao, Weidong Schwarz methods for quasi stationary distributions of Markov chains. (English) Zbl 1252.60071 Calcolo 49, No. 1, 21-39 (2012). MSC: 60J22 60J10 65C40 65F10 PDF BibTeX XML Cite \textit{G. Guo} and \textit{W. Zhao}, Calcolo 49, No. 1, 21--39 (2012; Zbl 1252.60071) Full Text: DOI OpenURL
Barbour, A. D.; Pollett, P. K. Total variation approximation for quasi-equilibrium distributions. II. (English) Zbl 1251.60060 Stochastic Processes Appl. 122, No. 11, 3740-3756 (2012). MSC: 60J28 92D25 92D30 PDF BibTeX XML Cite \textit{A. D. Barbour} and \textit{P. K. Pollett}, Stochastic Processes Appl. 122, No. 11, 3740--3756 (2012; Zbl 1251.60060) Full Text: DOI arXiv OpenURL
Martínez, Servet; San Martín, Jaime Some properties of quasi-stationary distributions for finite Markov chains. (English) Zbl 1235.60089 Blath, Jochen (ed.) et al., Surveys in stochastic processes. Selected papers based on the presentations at the 33rd conference on stochastic processes and their applications, Berlin, Germany, July 27–31, 2009. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-072-2/hbk). EMS Series of Congress Reports, 59-66 (2011). Reviewer: Liliana Popa (Iaşi) MSC: 60J10 60J45 PDF BibTeX XML Cite \textit{S. Martínez} and \textit{J. San Martín}, in: Surveys in stochastic processes. Selected papers based on the presentations at the 33rd conference on stochastic processes and their applications, Berlin, Germany, July 27--31, 2009. Zürich: European Mathematical Society (EMS). 59--66 (2011; Zbl 1235.60089) OpenURL
Liu, Wenbo; Zhang, Hanjun Quasi-stationary distributions in linear birth and death processes. (English) Zbl 1218.60072 J. Math. Res. 3, No. 1, 27-32 (2011). MSC: 60J80 PDF BibTeX XML Cite \textit{W. Liu} and \textit{H. Zhang}, J. Math. Res. 3, No. 1, 27--32 (2011; Zbl 1218.60072) Full Text: Link OpenURL
Crossman, R. J.; Škulj, D. Imprecise Markov chains with absorption. (English) Zbl 1211.60029 Int. J. Approx. Reasoning 51, No. 9, 1085-1099 (2010). Reviewer: Gabriel V. Orman (Braşov) MSC: 60J10 37A50 PDF BibTeX XML Cite \textit{R. J. Crossman} and \textit{D. Škulj}, Int. J. Approx. Reasoning 51, No. 9, 1085--1099 (2010; Zbl 1211.60029) Full Text: DOI OpenURL
Chen, Anyue; Li, Junping; Hou, Zhenting; Ng, Kai Wang Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues. (English) Zbl 1255.90039 Queueing Syst. 66, No. 3, 275-311 (2010). MSC: 90B22 60J27 60J35 60J80 PDF BibTeX XML Cite \textit{A. Chen} et al., Queueing Syst. 66, No. 3, 275--311 (2010; Zbl 1255.90039) Full Text: DOI HAL OpenURL
Sharafali, Moosa; Hameed, Mohammed A. Shahul; Yadavalli, Venkata S. S. A note on evaluating the risk in continuous review inventory systems. (English) Zbl 1198.90042 Int. J. Prod. Res. 47, No. 19, 5543-5558 (2009). MSC: 90B05 PDF BibTeX XML Cite \textit{M. Sharafali} et al., Int. J. Prod. Res. 47, No. 19, 5543--5558 (2009; Zbl 1198.90042) Full Text: DOI OpenURL
Li, JunPing Decay parameter and related properties of 2-type branching processes. (English) Zbl 1185.60094 Sci. China, Ser. A 52, No. 5, 875-894 (2009). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60J27 PDF BibTeX XML Cite \textit{J. Li}, Sci. China, Ser. A 52, No. 5, 875--894 (2009; Zbl 1185.60094) Full Text: DOI OpenURL
Lambert, Amaury Quasi-stationary distributions and the continuous-state branching process conditioned to be never extinct. (English) Zbl 1127.60082 Electron. J. Probab. 12, 420-446 (2007). MSC: 60J80 60K05 60F05 60H10 60G18 PDF BibTeX XML Cite \textit{A. Lambert}, Electron. J. Probab. 12, 420--446 (2007; Zbl 1127.60082) Full Text: DOI EuDML OpenURL
Fernández, Claudio; Palma, Guillermo; Prado, Humberto Resonances for Hamiltonians with a delta perturbation in one dimension. (English) Zbl 1076.47063 J. Phys. A, Math. Gen. 38, No. 34, 7509-7518 (2005). MSC: 47N50 81Q05 47D08 47B34 81P99 47E05 47A55 46F10 PDF BibTeX XML Cite \textit{C. Fernández} et al., J. Phys. A, Math. Gen. 38, No. 34, 7509--7518 (2005; Zbl 1076.47063) Full Text: DOI OpenURL
Steinsaltz, David; Evans, Steven N. Markov mortality models: implications of quasistationarity and varying initial distributions. (English) Zbl 1109.92036 Theor. Popul. Biol. 65, No. 4, 319-337 (2004). MSC: 92D25 60J70 60J99 91D20 PDF BibTeX XML Cite \textit{D. Steinsaltz} and \textit{S. N. Evans}, Theor. Popul. Biol. 65, No. 4, 319--337 (2004; Zbl 1109.92036) Full Text: DOI OpenURL
Pollett, P. K. Identifying \(Q\)-processes with a given finite \(\mu\)-invariant measure. (English) Zbl 1070.60064 Hou, Zhenting (ed.) et al., Markov processes and controlled Markov chains. Papers from the international workshop, Changsha, China, August 22–28, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0803-1/hbk). 41-55 (2002). MSC: 60J35 60J27 PDF BibTeX XML Cite \textit{P. K. Pollett}, in: Markov processes and controlled Markov chains. Papers from the international workshop, Changsha, China, August 22--28, 1999. Dordrecht: Kluwer Academic Publishers. 41--55 (2002; Zbl 1070.60064) OpenURL
Gouet, Raúl; López, F. Javier Saturation in a Markovian parking process. (English) Zbl 1012.60087 Ann. Appl. Probab. 11, No. 4, 1116-1136 (2001). MSC: 60K35 60J27 60K30 PDF BibTeX XML Cite \textit{R. Gouet} and \textit{F. J. López}, Ann. Appl. Probab. 11, No. 4, 1116--1136 (2001; Zbl 1012.60087) Full Text: DOI OpenURL
Barbour, Andrew D.; Pugliese, Andrea On the variance-to-mean ratio in models of parasite distributions. (English) Zbl 0964.92038 Adv. Appl. Probab. 32, No. 3, 701-719 (2000). Reviewer: P.Krapivsky (Boston) MSC: 92D30 60J27 60J20 PDF BibTeX XML Cite \textit{A. D. Barbour} and \textit{A. Pugliese}, Adv. Appl. Probab. 32, No. 3, 701--719 (2000; Zbl 0964.92038) Full Text: DOI OpenURL
Ntivugeruzva, S.; Rydalevskaya, M. A. Kinetic description of gases at various dissociation levels. (Russian) Zbl 1016.76070 Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 3, 75-80 (1999). Reviewer: Andrei Zemskov (Moskva) MSC: 76P05 82C40 82D05 PDF BibTeX XML Cite \textit{S. Ntivugeruzva} and \textit{M. A. Rydalevskaya}, Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 3, 75--80 (1999; Zbl 1016.76070) OpenURL
Breyer, L. A.; Roberts, G. O. A quasi-ergodic theorem for evanescent processes. (English) Zbl 0996.60085 Stochastic Processes Appl. 84, No. 2, 177-186 (1999). Reviewer: Jan Seidler (Praha) MSC: 60J25 PDF BibTeX XML Cite \textit{L. A. Breyer} and \textit{G. O. Roberts}, Stochastic Processes Appl. 84, No. 2, 177--186 (1999; Zbl 0996.60085) Full Text: DOI OpenURL
Kijima, Masaaki; Makimoto, Naoki Quasi-stationary distributions of Markov chains arising from queueing processes: A survey. (English) Zbl 0955.60091 Shanthikumar, J. G. (ed.) et al., Applied probability and stochastic processees. Boston: Kluwer Academic Publishers. Int. Ser. Oper. Res. Manag. Sci. 19, 277-311 (1999). Reviewer: E.A.van Doorn (Enschede) MSC: 60K25 60J27 60J10 PDF BibTeX XML Cite \textit{M. Kijima} and \textit{N. Makimoto}, Int. Ser. Oper. Res. Manag. Sci. 19, 277--311 (1999; Zbl 0955.60091) OpenURL
Chan, Terence Large deviations and quasi-stationarity for density-dependent birth-death processes. (English) Zbl 0938.60080 J. Aust. Math. Soc., Ser. B 40, No. 2, 238-256 (1998). Reviewer: Vladimir Vatutin (Moskva) MSC: 60J80 PDF BibTeX XML Cite \textit{T. Chan}, J. Aust. Math. Soc., Ser. B 40, No. 2, 238--256 (1998; Zbl 0938.60080) Full Text: DOI OpenURL
Martínez, Servet; Picco, Pierre; San Martín, Jaime Domain of attraction of quasi-stationary distributions for the Brownian motion with drift. (English) Zbl 0911.60070 Adv. Appl. Probab. 30, No. 2, 385-408 (1998). MSC: 60J65 PDF BibTeX XML Cite \textit{S. Martínez} et al., Adv. Appl. Probab. 30, No. 2, 385--408 (1998; Zbl 0911.60070) Full Text: DOI Link OpenURL
Roberts, G. O.; Jacka, S. D.; Pollett, P. K. Non-explosivity of limits of conditioned birth and death processes. (English) Zbl 0874.60070 J. Appl. Probab. 34, No. 1, 35-45 (1997). MSC: 60J27 60J80 60B10 PDF BibTeX XML Cite \textit{G. O. Roberts} et al., J. Appl. Probab. 34, No. 1, 35--45 (1997; Zbl 0874.60070) Full Text: DOI Link OpenURL
Nåsell, Ingemar The quasi-stationary distribution of the closed endemic SIS model. (English) Zbl 0854.92020 Adv. Appl. Probab. 28, No. 3, 895-932 (1996). MSC: 92D30 60J27 PDF BibTeX XML Cite \textit{I. Nåsell}, Adv. Appl. Probab. 28, No. 3, 895--932 (1996; Zbl 0854.92020) Full Text: DOI OpenURL
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P. Existence of quasi-stationary distributions: A renewal dynamical approach. (English) Zbl 0827.60061 Ann. Probab. 23, No. 2, 501-521 (1995). MSC: 60J27 60J80 60K05 PDF BibTeX XML Cite \textit{P. A. Ferrari} et al., Ann. Probab. 23, No. 2, 501--521 (1995; Zbl 0827.60061) Full Text: DOI OpenURL
Martínez, Servet Quasi-stationary distributions for birth-death chains. Convergence radii and Yaglom limit. (English) Zbl 0864.60059 Boccara, Nino (ed.) et al., Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 396, 491-505 (1993). MSC: 60J10 60F99 15B52 PDF BibTeX XML Cite \textit{S. Martínez}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 396, 491--505 (1993; Zbl 0864.60059) OpenURL
Nair, M. G.; Pollett, P. K. Correction to: On the relationship between \(\mu\)-invariant measures and quasi-stationary distributions for continuous-time Markov chains. (English) Zbl 0781.60059 Adv. Appl. Probab. 25, No. 3, 717-719 (1993). MSC: 60J27 PDF BibTeX XML Cite \textit{M. G. Nair} and \textit{P. K. Pollett}, Adv. Appl. Probab. 25, No. 3, 717--719 (1993; Zbl 0781.60059) Full Text: DOI OpenURL
Kijima, Masaaki Quasi-stationary distributions of single-server phase-type queues. (English) Zbl 0771.60080 Math. Oper. Res. 18, No. 2, 423-437 (1993). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{M. Kijima}, Math. Oper. Res. 18, No. 2, 423--437 (1993; Zbl 0771.60080) Full Text: DOI Link OpenURL
Kijima, Masaaki; Makimoto, Naoki Computation of the quasi-stationary distributions in \(M(n)/GI/1/K\) and \(GI/M(n)/1/K\) queues. (English) Zbl 0759.60097 Queueing Syst. 11, No. 3, 255-272 (1992). MSC: 60K25 90B22 PDF BibTeX XML Cite \textit{M. Kijima} and \textit{N. Makimoto}, Queueing Syst. 11, No. 3, 255--272 (1992; Zbl 0759.60097) Full Text: DOI OpenURL
van Doorn, Erik A. Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes. (English) Zbl 0736.60076 Adv. Appl. Probab. 23, No. 4, 683-700 (1991). Reviewer: H.J.Weiner (Davis) MSC: 60J80 60J25 PDF BibTeX XML Cite \textit{E. A. van Doorn}, Adv. Appl. Probab. 23, No. 4, 683--700 (1991; Zbl 0736.60076) Full Text: DOI Link OpenURL
Çapar, U.; Al-Eideh, B. M. Quasi stationary distributions of Markov chains with more than one absorbing state. (English) Zbl 0701.60068 Hacettepe Bull. Nat. Sci. Eng. 18, 21-27 (1989). MSC: 60J10 PDF BibTeX XML Cite \textit{U. Çapar} and \textit{B. M. Al-Eideh}, Hacettepe Bull. Nat. Sci. Eng. 18, 21--27 (1989; Zbl 0701.60068) OpenURL
Eichhorn, J.; Schrodin, R.; Zdunkowski, W. Three-dimensional numerical simulations of the urban climate. (English) Zbl 0663.76011 Contrib. Atmos. Phys. 61, No. 3, 187-203 (1988). MSC: 76B60 86A10 PDF BibTeX XML Cite \textit{J. Eichhorn} et al., Contrib. Atmos. Phys. 61, No. 3, 187--203 (1988; Zbl 0663.76011) OpenURL
Glover, Joseph Quasi-stationary distributions, eigenmeasures, and eigenfunctions of Markov processes. (English) Zbl 0588.60071 Stochastic processes, Semin. Evanston/Ill. 1984, Prog. Probab. Stat. 9, 71-98 (1986). Reviewer: P.A.Meyer MSC: 60J35 47D07 PDF BibTeX XML OpenURL
Arjas, E.; Nummelin, E.; Tweedie, R. L. Semi-Markov processes on a general state space: alpha-theory and quasi- stationarity. (English) Zbl 0464.60085 J. Aust. Math. Soc., Ser. A 30, 187-200 (1980). MSC: 60K15 PDF BibTeX XML Cite \textit{E. Arjas} et al., J. Aust. Math. Soc., Ser. A 30, 187--200 (1980; Zbl 0464.60085) OpenURL
Tuominen, Pekka; Tweedie, Richard L. Exponential decay and ergodicity of general Markov processes and their discrete skeletons. (English) Zbl 0421.60065 Adv. Appl. Probab. 11, 784-803 (1979). MSC: 60J25 60F99 PDF BibTeX XML Cite \textit{P. Tuominen} and \textit{R. L. Tweedie}, Adv. Appl. Probab. 11, 784--803 (1979; Zbl 0421.60065) Full Text: DOI OpenURL