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Möhle, Martin

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 Author ID: mohle.martin Published as: Moehle, Martin; Möhle, M.; Möhle, Martin Homepage: http://www.math.uni-tuebingen.de/user/moehle/moehle.html External Links: MGP
 Documents Indexed: 60 Publications since 1993, including 1 Book
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Co-Authors

 29 single-authored 8 Iksanov, Aleksander M. 6 Huillet, Thierry E. 3 Freund, Fabian 3 Gnedin, Alexander V. 2 Birkner, Matthias 2 Blath, Jochen 2 Drmota, Michael 2 Marynych, Alexander V. 2 Pitters, Helmut 2 Rösler, Uwe 2 Sagitov, Serik 1 Capaldo, Marcella 1 Cordero, Fernando 1 Dhersin, Jean-Stéphane 1 Etheridge, Alison Mary 1 Gaiser, Florian 1 Herriger, Philip 1 Kukla, Jonas 1 Martinez Aguilera, Servet 1 Marynych, Alex 1 Müller, Johannes 1 Notohara, Morihiro 1 Schweinsberg, Jason Ross 1 Steinrücken, Matthias 1 Tams, Johanna 1 Vetter, Benedict 1 Wakolbinger, Anton
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Serials

 11 Journal of Applied Probability 8 Advances in Applied Probability 5 Stochastic Processes and their Applications 5 Electronic Communications in Probability 5 Markov Processes and Related Fields 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 4 Bernoulli 2 Combinatorics, Probability and Computing 2 Electronic Journal of Probability 2 Stochastic Models 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 The Annals of Probability 1 Theoretical Population Biology 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Journal of Statistical Computation and Simulation 1 Computational and Applied Mathematics 1 Modern Stochastics. Theory and Applications
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Fields

 54 Probability theory and stochastic processes (60-XX) 48 Biology and other natural sciences (92-XX) 11 Combinatorics (05-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX)

Citations contained in zbMATH Open

49 Publications have been cited 568 times in 243 Documents Cited by Year
A classification of coalescent processes for haploid exchangeable population models. Zbl 1013.92029
Möhle, Martin; Sagitov, Serik
2001
Alpha-stable branching and beta-coalescents. Zbl 1066.60072
Birkner, Matthias; Blath, Jochen; Capaldo, Marcella; Etheridge, Alison M.; Möhle, Martin; Schweinsberg, Jason; Wakolbinger, Anton
2005
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1133.60012
Iksanov, Alex; Möhle, Martin
2007
The concept of duality and applications to Markov processes arising in neutral population genetics models. Zbl 0942.92020
Möhle, Martin
1999
A convergence theorem for Markov chains arising in population genetics and the coalescent with selfing. Zbl 0910.60007
Möhle, M.
1998
A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1187.05068
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2009
On sampling distributions for coalescent processes with simultaneous multiple collisions. Zbl 1099.92052
Möhle, M.
2006
Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. Zbl 1129.60069
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2007
Coalescent patterns in diploid exchangeable population models. Zbl 1054.92039
Möhle, Martin; Sagitov, Serik
2003
Robustness results for the coalescent. Zbl 0913.60022
Möhle, M.
1998
A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks. Zbl 1162.60342
Birkner, Matthias; Blath, Jochen; Möhle, Martin; Steinrücken, Matthias; Tams, Johanna
2009
On the number of segregating sites for populations with large family sizes. Zbl 1112.92046
Möhle, M.
2006
Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models. Zbl 1002.92015
Möhle, M.
2000
On asymptotics of exchangeable coalescents with multiple collisions. Zbl 1159.60016
Gnedin, Alexander; Iksanov, Alex; Möhle, Martin
2008
On the number of jumps of random walks with a barrier. Zbl 1157.60041
Iksanov, Alex; Möhle, Martin
2008
Asymptotic results for coalescent processes without proper frequencies and applications to the two-parameter Poisson-Dirichlet coalescent. Zbl 1214.60037
Möhle, M.
2010
On the time back to the most recent common ancestor and the external branch length of the Boltzhausen-Sznitman coalescent. Zbl 1203.60110
Freund, F.; Möhle, M.
2009
Coalescent results for two-sex population models. Zbl 0910.60006
Möhle, M.
1998
On the extended Moran model and its relation to coalescents with multiple collisions. Zbl 1296.92207
Huillet, Thierry; Möhle, Martin
2013
On the number of collisions in beta($$2, b$$)-coalescents. Zbl 1208.60081
Iksanov, Alex; Marynych, Alex; Möhle, Martin
2009
The time back to the most recent common ancestor in exchangeable population models. Zbl 1042.60054
Möhle, M.
2004
Forward and backward diffusion approximations for haploid exchangeable population models. Zbl 1056.92039
Möhle, M.
2001
The coalescent in population models with time-inhomogeneous environment. Zbl 1064.92034
Möhle, M.
2002
Population genetics models with skewed fertilities: a forward and backward analysis. Zbl 1367.92074
Huillet, Thierry; Möhle, Martin
2011
The Mittag-Leffler process and a scaling limit for the block counting process of the Bolthausen-Sznitman coalescent. Zbl 1329.60271
Möhle, Martin
2015
Convergence results for compound Poisson distributions and applications to the standard Luria-Delbrück distribution. Zbl 1086.60014
Möhle, M.
2005
Weak convergence to the coalescent in neutral population models. Zbl 0938.92024
Möhle, M.
1999
On hitting probabilities of beta coalescents and absorption times of coalescents that come down from infinity. Zbl 1341.60088
Möhle, Martin
2014
On the external branches of coalescents with multiple collisions. Zbl 1285.60079
Dhersin, Jean-Stéphane; Möhle, Martin
2013
Conditions for exchangeable coalescents to come down from infinity. Zbl 1277.60122
Herriger, Philip; Möhle, Martin
2012
On the number of allelic types for samples taken from exchangeable coalescents with mutation. Zbl 1202.92061
Freund, F.; Möhle, M.
2009
Asymptotics of symmetric compound Poisson population models. Zbl 1371.60173
Huillet, Thierry; Möhle, Martin
2015
A spectral decomposition for the block counting process of the Bolthausen-Sznitman coalescent. Zbl 1334.60157
Möhle, Martin; Pitters, Helmut
2014
On asymptotics of the beta coalescents. Zbl 1323.60021
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2014
Coalescent processes derived from some compound Poisson population models. Zbl 1367.92105
Möhle, Martin
2011
Looking forwards and backwards in the multi-allelic neutral Cannings population model. Zbl 1210.60078
Möhle, M.
2010
Duality and asymptotics for a class of nonneutral discrete Moran models. Zbl 1181.92067
Huillet, Thierry; Möhle, Martin
2009
Forward and backward processes in bisexual models with fixed population sizes. Zbl 0812.92017
Möhle, M.
1994
On the block counting process and the fixation line of exchangeable coalescents. Zbl 1346.60124
Gaiser, Florian; Möhle, Martin
2016
Family trees of continuous-time birth-and-death processes. Zbl 1054.60088
Müller, Johannes; Möhle, Martin
2003
On strictly monotone Markov chains with constant hitting probabilities and applications to a class of beta coalescents. Zbl 1417.60063
Möhle, M.
2018
On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent. Zbl 1390.60089
Kukla, Jonas; Möhle, Martin
2018
Asymptotic hitting probabilities for the Bolthausen-Sznitman coalescent. Zbl 1328.60173
Möhle, Martin
2014
Correction on ‘Population genetics models with skewed fertilities: a forward and backward analysis’. Zbl 1367.92075
Huillet, Thierry; Möhle, Martin
2012
The collision spectrum of $$\Lambda$$-coalescents. Zbl 1404.60104
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2018
An extension of a convergence theorem for Markov chains arising in population genetics. Zbl 1351.60025
Möhle, Martin; Notohara, Morihiro
2016
Absorption time and tree length of the Kingman coalescent and the Gumbel distribution. Zbl 1328.60021
Möhle, M.; Pitters, H.
2015
Duality and cones of Markov processes and their semigroups. Zbl 1298.60079
Möhle, M.
2013
On a class of non-regenerative sampling distributions. Zbl 1125.62122
Möhle, Martin
2007
On strictly monotone Markov chains with constant hitting probabilities and applications to a class of beta coalescents. Zbl 1417.60063
Möhle, M.
2018
On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent. Zbl 1390.60089
Kukla, Jonas; Möhle, Martin
2018
The collision spectrum of $$\Lambda$$-coalescents. Zbl 1404.60104
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2018
On the block counting process and the fixation line of exchangeable coalescents. Zbl 1346.60124
Gaiser, Florian; Möhle, Martin
2016
An extension of a convergence theorem for Markov chains arising in population genetics. Zbl 1351.60025
Möhle, Martin; Notohara, Morihiro
2016
The Mittag-Leffler process and a scaling limit for the block counting process of the Bolthausen-Sznitman coalescent. Zbl 1329.60271
Möhle, Martin
2015
Asymptotics of symmetric compound Poisson population models. Zbl 1371.60173
Huillet, Thierry; Möhle, Martin
2015
Absorption time and tree length of the Kingman coalescent and the Gumbel distribution. Zbl 1328.60021
Möhle, M.; Pitters, H.
2015
On hitting probabilities of beta coalescents and absorption times of coalescents that come down from infinity. Zbl 1341.60088
Möhle, Martin
2014
A spectral decomposition for the block counting process of the Bolthausen-Sznitman coalescent. Zbl 1334.60157
Möhle, Martin; Pitters, Helmut
2014
On asymptotics of the beta coalescents. Zbl 1323.60021
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2014
Asymptotic hitting probabilities for the Bolthausen-Sznitman coalescent. Zbl 1328.60173
Möhle, Martin
2014
On the extended Moran model and its relation to coalescents with multiple collisions. Zbl 1296.92207
Huillet, Thierry; Möhle, Martin
2013
On the external branches of coalescents with multiple collisions. Zbl 1285.60079
Dhersin, Jean-Stéphane; Möhle, Martin
2013
Duality and cones of Markov processes and their semigroups. Zbl 1298.60079
Möhle, M.
2013
Conditions for exchangeable coalescents to come down from infinity. Zbl 1277.60122
Herriger, Philip; Möhle, Martin
2012
Correction on ‘Population genetics models with skewed fertilities: a forward and backward analysis’. Zbl 1367.92075
Huillet, Thierry; Möhle, Martin
2012
Population genetics models with skewed fertilities: a forward and backward analysis. Zbl 1367.92074
Huillet, Thierry; Möhle, Martin
2011
Coalescent processes derived from some compound Poisson population models. Zbl 1367.92105
Möhle, Martin
2011
Asymptotic results for coalescent processes without proper frequencies and applications to the two-parameter Poisson-Dirichlet coalescent. Zbl 1214.60037
Möhle, M.
2010
Looking forwards and backwards in the multi-allelic neutral Cannings population model. Zbl 1210.60078
Möhle, M.
2010
A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1187.05068
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2009
A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks. Zbl 1162.60342
Birkner, Matthias; Blath, Jochen; Möhle, Martin; Steinrücken, Matthias; Tams, Johanna
2009
On the time back to the most recent common ancestor and the external branch length of the Boltzhausen-Sznitman coalescent. Zbl 1203.60110
Freund, F.; Möhle, M.
2009
On the number of collisions in beta($$2, b$$)-coalescents. Zbl 1208.60081
Iksanov, Alex; Marynych, Alex; Möhle, Martin
2009
On the number of allelic types for samples taken from exchangeable coalescents with mutation. Zbl 1202.92061
Freund, F.; Möhle, M.
2009
Duality and asymptotics for a class of nonneutral discrete Moran models. Zbl 1181.92067
Huillet, Thierry; Möhle, Martin
2009
On asymptotics of exchangeable coalescents with multiple collisions. Zbl 1159.60016
Gnedin, Alexander; Iksanov, Alex; Möhle, Martin
2008
On the number of jumps of random walks with a barrier. Zbl 1157.60041
Iksanov, Alex; Möhle, Martin
2008
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1133.60012
Iksanov, Alex; Möhle, Martin
2007
Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. Zbl 1129.60069
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2007
On a class of non-regenerative sampling distributions. Zbl 1125.62122
Möhle, Martin
2007
On sampling distributions for coalescent processes with simultaneous multiple collisions. Zbl 1099.92052
Möhle, M.
2006
On the number of segregating sites for populations with large family sizes. Zbl 1112.92046
Möhle, M.
2006
Alpha-stable branching and beta-coalescents. Zbl 1066.60072
Birkner, Matthias; Blath, Jochen; Capaldo, Marcella; Etheridge, Alison M.; Möhle, Martin; Schweinsberg, Jason; Wakolbinger, Anton
2005
Convergence results for compound Poisson distributions and applications to the standard Luria-Delbrück distribution. Zbl 1086.60014
Möhle, M.
2005
The time back to the most recent common ancestor in exchangeable population models. Zbl 1042.60054
Möhle, M.
2004
Coalescent patterns in diploid exchangeable population models. Zbl 1054.92039
Möhle, Martin; Sagitov, Serik
2003
Family trees of continuous-time birth-and-death processes. Zbl 1054.60088
Müller, Johannes; Möhle, Martin
2003
The coalescent in population models with time-inhomogeneous environment. Zbl 1064.92034
Möhle, M.
2002
A classification of coalescent processes for haploid exchangeable population models. Zbl 1013.92029
Möhle, Martin; Sagitov, Serik
2001
Forward and backward diffusion approximations for haploid exchangeable population models. Zbl 1056.92039
Möhle, M.
2001
Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models. Zbl 1002.92015
Möhle, M.
2000
The concept of duality and applications to Markov processes arising in neutral population genetics models. Zbl 0942.92020
Möhle, Martin
1999
Weak convergence to the coalescent in neutral population models. Zbl 0938.92024
Möhle, M.
1999
A convergence theorem for Markov chains arising in population genetics and the coalescent with selfing. Zbl 0910.60007
Möhle, M.
1998
Robustness results for the coalescent. Zbl 0913.60022
Möhle, M.
1998
Coalescent results for two-sex population models. Zbl 0910.60006
Möhle, M.
1998
Forward and backward processes in bisexual models with fixed population sizes. Zbl 0812.92017
Möhle, M.
1994
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Cited by 248 Authors

 25 Möhle, Martin 17 Huillet, Thierry E. 13 Iksanov, Aleksander M. 9 Bertoin, Jean 9 Blath, Jochen 8 Berestycki, Nathanaël 8 Gnedin, Alexander V. 8 Holmgren, Cecilia Ingrid 8 Lessard, Sabin 7 Berestycki, Julien 7 Kersting, Götz-Dietrich 7 Limic, Vlada 7 Schweinsberg, Jason Ross 7 Wakeley, John 6 Casanova, Adrián González 6 Eldon, Bjarki 6 Freund, Fabian 6 Hössjer, Ola G. 6 Pfaffelhuber, Peter 6 Sagitov, Serik 6 Spanò, Dario 6 Wakolbinger, Anton 5 Birkner, Matthias 5 Giardinà, Cristian 5 Koskela, Jere 5 Kurt, Noemi 5 Lambert, Amaury 5 Marynych, Alexander V. 5 Siri-Jegousse, Arno 4 Cai, Xing Shi 4 Delmas, Jean-François 4 Etheridge, Alison Mary 4 Griffiths, Robert C. 4 Jenkins, Paul A. 4 Pollak, Edward 4 Rösler, Uwe 3 Baur, Erich 3 Drmota, Michael 3 Franceschini, Chiara 3 Greven, Andreas 3 Grosjean, Nicolas 3 Hénard, Olivier 3 Jagers, Peter 3 Liu, Huili 3 Martinez Aguilera, Servet 3 Ohkubo, Jun 3 Pitman, Jim William 3 Redig, Frank 3 Steinrücken, Matthias 3 Sturm, Anja K. 3 Yuan, Linglong 2 Addario-Berry, Louigi 2 Blythe, Richard A. 2 Broutin, Nicolas 2 Carinci, Gioia 2 Chen, Yu-Ting 2 Dahmer, Iulia 2 Durrett, Richard Timothy 2 Foucart, Clément 2 Groenevelt, Wolter G. M. 2 Gufler, Stephan 2 Haas, Bénédicte 2 Kobayashi, Yutaka 2 Leviyang, Sivan 2 Melfi, Andrew 2 Müller, Johannes 2 Notohara, Morihiro 2 Olsson, Fredrik 2 Pardo, Juan Carlos 2 Rosenberg, Noah A. 2 Rubenthaler, Sylvain 2 Ryman, Nils 2 Sargsyan, Ori 2 Schertzer, Emmanuel 2 Skerman, Fiona 2 Taylor, Jesse Earl 2 Tyvand, Peder A. 2 Véber, Amandine 2 Viswanath, Divakar 2 Wilke-Berenguer, Maite 2 Winter, Anita 2 Zhou, Xiaowen 1 Abraham, Romain 1 Aguirre-von-Wobeser, Eneas 1 Alsmeyer, Gerold 1 Alter, Idan 1 Angel, Omer 1 Arbisser, Ilana M. 1 Arjas, Elja 1 Austerlitz, Frédéric 1 Baake, Ellen 1 Bansaye, Vincent 1 Baumdicker, Franz 1 Berzunza, Gabriel 1 Bobrowski, Adam 1 Burden, Conrad John 1 Businger, Silvia 1 Buss, Samuel R. 1 Buzzoni, Eugenio 1 Caliebe, Amke ...and 148 more Authors
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Cited in 53 Serials

 46 Theoretical Population Biology 20 Journal of Applied Probability 20 The Annals of Applied Probability 18 Advances in Applied Probability 14 Stochastic Processes and their Applications 12 Journal of Mathematical Biology 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 The Annals of Probability 8 Probability Theory and Related Fields 8 Electronic Journal of Probability 7 Bernoulli 6 Journal of Statistical Physics 6 Mathematical Biosciences 4 Combinatorics, Probability and Computing 3 Bulletin of Mathematical Biology 3 Journal of Theoretical Probability 3 Random Structures & Algorithms 3 Stochastic Models 2 The Annals of Statistics 2 The Electronic Journal of Combinatorics 2 Mathematical Population Studies 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Statistics 1 Applied Mathematical Modelling 1 Computational Statistics and Data Analysis 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical Physics, Analysis and Geometry 1 Journal of Shanghai University 1 Discrete Dynamics in Nature and Society 1 Methodology and Computing in Applied Probability 1 Statistical Applications in Genetics and Molecular Biology 1 Stochastics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Electronic Journal of Statistics 1 International Journal of Biomathematics 1 Probability Surveys 1 Journal of Probability and Statistics 1 Games 1 Dynamic Games and Applications 1 Statistics and Computing 1 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 ISRN Biomathematics 1 Modern Stochastics. Theory and Applications
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Cited in 18 Fields

 185 Probability theory and stochastic processes (60-XX) 151 Biology and other natural sciences (92-XX) 32 Combinatorics (05-XX) 19 Statistics (62-XX) 13 Statistical mechanics, structure of matter (82-XX) 7 Numerical analysis (65-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)