Möhle, Martin A restaurant process with cocktail bar and relations to the three-parameter Mittag-Leffler distribution. (English) Zbl 1475.60023 J. Appl. Probab. 58, No. 4, 978-1006 (2021). MSC: 60C05 60F05 60J10 PDFBibTeX XMLCite \textit{M. Möhle}, J. Appl. Probab. 58, No. 4, 978--1006 (2021; Zbl 1475.60023) Full Text: DOI
Möhle, Martin The rate of convergence of the block counting process of exchangeable coalescents with dust. (English) Zbl 1477.60050 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1195-1220 (2021). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 60F05 60J27 60J90 60G09 92D15 47D07 PDFBibTeX XMLCite \textit{M. Möhle}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1195--1220 (2021; Zbl 1477.60050) Full Text: Link
Möhle, Martin; Vetter, Benedict Asymptotics of continuous-time discrete state space branching processes for large initial state. (English) Zbl 1480.60264 Markov Process. Relat. Fields 27, No. 1, 1-42 (2021). MSC: 60J80 60F05 60F17 60G50 60J27 PDFBibTeX XMLCite \textit{M. Möhle} and \textit{B. Vetter}, Markov Process. Relat. Fields 27, No. 1, 1--42 (2021; Zbl 1480.60264) Full Text: arXiv
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin The collision spectrum of \(\Lambda\)-coalescents. (English) Zbl 1404.60104 Ann. Appl. Probab. 28, No. 6, 3857-3883 (2018). MSC: 60J25 60F17 60C05 60G09 PDFBibTeX XMLCite \textit{A. Gnedin} et al., Ann. Appl. Probab. 28, No. 6, 3857--3883 (2018; Zbl 1404.60104) Full Text: DOI arXiv Euclid
Möhle, M. On strictly monotone Markov chains with constant hitting probabilities and applications to a class of beta coalescents. (English) Zbl 1417.60063 Markov Process. Relat. Fields 24, No. 1, 107-130 (2018). MSC: 60J10 62E15 60F05 92D15 PDFBibTeX XMLCite \textit{M. Möhle}, Markov Process. Relat. Fields 24, No. 1, 107--130 (2018; Zbl 1417.60063)
Kukla, Jonas; Möhle, Martin On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent. (English) Zbl 1390.60089 Stochastic Processes Appl. 128, No. 3, 939-962 (2018). MSC: 60F05 60J27 92D15 PDFBibTeX XMLCite \textit{J. Kukla} and \textit{M. Möhle}, Stochastic Processes Appl. 128, No. 3, 939--962 (2018; Zbl 1390.60089) Full Text: DOI arXiv
Freund, Fabian; Möhle, Martin On the size of the block of 1 for \(\varXi\)-coalescents with dust. (English) Zbl 1382.60109 Mod. Stoch., Theory Appl. 4, No. 4, 407-425 (2017). MSC: 60J75 60F15 60G55 60G09 60J25 60F05 PDFBibTeX XMLCite \textit{F. Freund} and \textit{M. Möhle}, Mod. Stoch., Theory Appl. 4, No. 4, 407--425 (2017; Zbl 1382.60109) Full Text: DOI arXiv
Möhle, Martin; Notohara, Morihiro An extension of a convergence theorem for Markov chains arising in population genetics. (English) Zbl 1351.60025 J. Appl. Probab. 53, No. 3, 953-956 (2016). MSC: 60F05 92D10 60J27 92D25 17D92 PDFBibTeX XMLCite \textit{M. Möhle} and \textit{M. Notohara}, J. Appl. Probab. 53, No. 3, 953--956 (2016; Zbl 1351.60025) Full Text: DOI
Gaiser, Florian; Möhle, Martin On the block counting process and the fixation line of exchangeable coalescents. (English) Zbl 1346.60124 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 2, 809-833 (2016). MSC: 60J27 60G09 60F05 92D10 PDFBibTeX XMLCite \textit{F. Gaiser} and \textit{M. Möhle}, ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 2, 809--833 (2016; Zbl 1346.60124) Full Text: arXiv Link
Huillet, Thierry; Möhle, Martin Asymptotics of symmetric compound Poisson population models. (English) Zbl 1371.60173 Comb. Probab. Comput. 24, No. 1, 216-253 (2015). MSC: 60K35 60J80 60F05 60G09 92D25 60J10 PDFBibTeX XMLCite \textit{T. Huillet} and \textit{M. Möhle}, Comb. Probab. Comput. 24, No. 1, 216--253 (2015; Zbl 1371.60173) Full Text: DOI
Möhle, Martin The Mittag-Leffler process and a scaling limit for the block counting process of the Bolthausen-Sznitman coalescent. (English) Zbl 1329.60271 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 35-53 (2015). MSC: 60J27 60F17 60J80 60F05 60E07 92D15 PDFBibTeX XMLCite \textit{M. Möhle}, ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 35--53 (2015; Zbl 1329.60271) Full Text: arXiv Link
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin On asymptotics of the beta coalescents. (English) Zbl 1323.60021 Adv. Appl. Probab. 46, No. 2, 496-515 (2014). MSC: 60C05 60G09 60F05 60J10 PDFBibTeX XMLCite \textit{A. Gnedin} et al., Adv. Appl. Probab. 46, No. 2, 496--515 (2014; Zbl 1323.60021) Full Text: DOI arXiv Euclid
Möhle, M. Asymptotic results for coalescent processes without proper frequencies and applications to the two-parameter Poisson-Dirichlet coalescent. (English) Zbl 1214.60037 Stochastic Processes Appl. 120, No. 11, 2159-2173 (2010). Reviewer: Valentin Topchii (Omsk) MSC: 60J27 92D10 60F05 92D15 PDFBibTeX XMLCite \textit{M. Möhle}, Stochastic Processes Appl. 120, No. 11, 2159--2173 (2010; Zbl 1214.60037) Full Text: DOI
Freund, F.; Möhle, M. On the time back to the most recent common ancestor and the external branch length of the Boltzhausen-Sznitman coalescent. (English) Zbl 1203.60110 Markov Process. Relat. Fields 15, No. 3, 387-416 (2009). Reviewer: Carlos A. Braumann (Évora) MSC: 60J25 92D15 60F05 60C05 05C05 92D10 PDFBibTeX XMLCite \textit{F. Freund} and \textit{M. Möhle}, Markov Process. Relat. Fields 15, No. 3, 387--416 (2009; Zbl 1203.60110)
Iksanov, Alex; Möhle, Martin On the number of jumps of random walks with a barrier. (English) Zbl 1157.60041 Adv. Appl. Probab. 40, No. 1, 206-228 (2008). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60G50 60F05 05C05 60E07 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Möhle}, Adv. Appl. Probab. 40, No. 1, 206--228 (2008; Zbl 1157.60041) Full Text: DOI
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. (English) Zbl 1129.60069 Stochastic Processes Appl. 117, No. 10, 1404-1421 (2007). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J25 60F05 PDFBibTeX XMLCite \textit{M. Drmota} et al., Stochastic Processes Appl. 117, No. 10, 1404--1421 (2007; Zbl 1129.60069) Full Text: DOI
Möhle, M. On the number of segregating sites for populations with large family sizes. (English) Zbl 1112.92046 Adv. Appl. Probab. 38, No. 3, 750-767 (2006). MSC: 92D15 60H30 60J27 60J20 92D10 60F05 PDFBibTeX XMLCite \textit{M. Möhle}, Adv. Appl. Probab. 38, No. 3, 750--767 (2006; Zbl 1112.92046) Full Text: DOI
Möhle, M. Robustness results for the coalescent. (English) Zbl 0913.60022 J. Appl. Probab. 35, No. 2, 438-447 (1998). Reviewer: J.M.Gani (Canberra) MSC: 60F05 92D10 60J27 92D25 PDFBibTeX XMLCite \textit{M. Möhle}, J. Appl. Probab. 35, No. 2, 438--447 (1998; Zbl 0913.60022) Full Text: DOI
Möhle, M. Coalescent results for two-sex population models. (English) Zbl 0910.60006 Adv. Appl. Probab. 30, No. 2, 513-520 (1998). MSC: 60F05 92D10 92D25 60J10 PDFBibTeX XMLCite \textit{M. Möhle}, Adv. Appl. Probab. 30, No. 2, 513--520 (1998; Zbl 0910.60006) Full Text: DOI
Möhle, M. A convergence theorem for Markov chains arising in population genetics and the coalescent with selfing. (English) Zbl 0910.60007 Adv. Appl. Probab. 30, No. 2, 493-512 (1998). MSC: 60F05 92D10 92D25 60J10 PDFBibTeX XMLCite \textit{M. Möhle}, Adv. Appl. Probab. 30, No. 2, 493--512 (1998; Zbl 0910.60007) Full Text: DOI