Publications

Publications of A. Greven

Greven A., den Hollander F., Klimovsky A., Winter A.:
Continuum graph dynamics via population dynamics: Well-posedness, duality and equilibria
In: Stochastic Processes and their Applications 188 (2025), Art.Nr.: 104670
ISSN: 0304-4149
DOI: 10.1016/j.spa.2025.104670
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Depperschmidt A., Greven A., Pfaffelhuber P.:
Duality and the well-posedness of a martingale problem
In: Theoretical Population Biology 159 (2024), S. 59-73
ISSN: 0040-5809
DOI: 10.1016/j.tpb.2024.07.003
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Greven A., den Hollander F., Klimovsky A., Winter A.:
The grapheme-valued Wright–Fisher diffusion with mutation
In: Theoretical Population Biology 158 (2024), S. 76-88
ISSN: 0040-5809
DOI: 10.1016/j.tpb.2024.04.007
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Birkner M., Greven A., Hollander Fd.:
Correction to: Quenched large deviation principle for words in a letter sequence (Probability Theory and Related Fields, (2010), 148, 3-4, (403-456), 10.1007/s00440-009-0235-5)
In: Probability Theory and Related Fields 187 (2023), S. 523-569
ISSN: 0178-8051
DOI: 10.1007/s00440-023-01212-w
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Greven A., Den Hollander F.:
Spatial populations with seed-bank: finite-systems scheme
In: Electronic Journal of Probability 28 (2023), Art.Nr.: 84
ISSN: 1083-6489
DOI: 10.1214/23-EJP974
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Greven A., Den Hollander F., Oomen M.:
Spatial populations with seed-bank: well-posedness, duality and equilibrium
In: Electronic Journal of Probability 27 (2022), S. 1-88
ISSN: 1083-6489
DOI: 10.1214/21-EJP728
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Glode P., Greven A., Rippl T.:
Branching trees I: concatenation and infinite divisibility
In: Electronic Journal of Probability 24 (2019)
ISSN: 1083-6489
DOI: 10.1214/19-EJP276
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Depperschmidt A., Greven A.:
Stochastic Evolution of genealogies of spatial populations: state description, characterization of dynamics and properties
In: arXiv (2018)
ISSN: 2331-8442
DOI: 10.1142/9789811206092_0002
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Greven A., Rippl T., Glöde PK.:
Branching Processes - A General Concept
In: arXiv (2018), Art.Nr.: 1807.01921
ISSN: 2331-8442
Open Access: http://arxiv.org/abs/1807.01921
URL: http://arxiv.org/abs/1807.01921
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Glöde PK., Greven A., Rippl T.:
Branching trees I: Concatenation and infinite divisibility
In: arXiv (2017), Art.Nr.: 1612.01265
ISSN: 2331-8442
URL: https://arxiv.org/abs/1612.01265
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Greven A., den Hollander F., Klimovsky A.:
The hierarchical Cannings process in random environment
In: ALEA : Latin American Journal of Probability and Mathematical Statistics (2017)
ISSN: 1980-0436
URL: https://arxiv.org/abs/1703.03061
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Greven A., Pokalyuk C., Pfaffelhuber P., Wakolbinger A.:
The fixation time of a strongly benefical allele in a structured population
In: Electronic Journal of Probability 21 (2016), S. 1-42
ISSN: 1083-6489
DOI: 10.1214/16-EJP3355
URL: https://projecteuclid.org/euclid.ejp/1475586182
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Greven A., Sun R., Winter A.:
Continuum space limit of the genealogies of interacting Fleming-Viot processes on Z
In: Electronic Journal of Probability 21 (2016)
ISSN: 1083-6489
DOI: 10.1214/16-EJP4514
URL: https://projecteuclid.org/euclid.ejp/1475266506
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Dawson DA., Greven A.:
Spatial Fleming - Viot Models with Selection and Mutation
Springer Verlag, 2014
(Lecture Notes in Mathematics, Bd.2092)
ISBN: 9783319021522
DOI: 10.1007/978-3-319-02153-9__5
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Greven A., den Hollander F., Kliem S., Klimovsky A.:
Renormalisation of hierarchically interacting Cannings processes
In: ALEA : Latin American Journal of Probability and Mathematical Statistics 11 (2014), S. 43-140
ISSN: 1980-0436
URL: http://alea.impa.br/english/index_v11.htm
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Depperschmidt A., Greven A., Pfaffelhuber P.:
Path-properties of the tree-valued Fleming-Viot process
In: Electronic Journal of Probability 18 (2013), S. 1-47
ISSN: 1083-6489
DOI: 10.1214/EJP.v18-2514
URL: https://projecteuclid.org/euclid.ejp/1465064309
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Greven A., Pfaffelhuber P., Winter A.:
Tree-valued resampling dynamics Martingale problems and applications
In: Probability Theory and Related Fields 155 (2013), S. 789-838
ISSN: 0178-8051
DOI: 10.1007/s00440-012-0413-8
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Depperschmidt A., Greven A., Pfaffelhuber P.:
Tree-valued Fleming-Viot dynamics with mutation and selection
In: Annals of Applied Probability 22 (2012), S. 2560-2615
ISSN: 1050-5164
DOI: 10.1214/11-AAP831
URL: https://projecteuclid.org/euclid.aoap/1353695962
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Greven A., Dawson DA.:
Multiscale Analysis: Fisher-Wright Diffusions with Rare Mutations and Selection, Logistic Branching System
DOI: 10.1007/978-3-642-23811-6_15
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Birkner M., den Hollander F., Greven A.:
Collision local time of transient random walks and intermediate phases in interacting stochastic systems
In: Electronic Journal of Probability 16 (2011), S. 552-586
ISSN: 1083-6489
URL: https://projecteuclid.org/euclid.ejp/1464820189
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Depperschmidt A., Greven A., Pfaffelhuber P.:
Marked metric measure spaces
In: Electronic Communications in Probability 16 (2011), S. 174-188
ISSN: 1083-589X
URL: https://projecteuclid.org/euclid.ecp/1465261973
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Greven A., Birkner M., den Hollander F.:
Quenched large deviation principle for words in a letter sequence
In: Probability Theory and Related Fields 148 (2010), S. 403-456
ISSN: 0178-8051
DOI: 10.1007/s00440-009-0235-5
URL: https://link.springer.com/article/10.1007/s00440-009-0235-5
BibTeX: Download

Hochberg K., Greven A.:
On the use of the Laplace Functional for Two-Level Branching Systems
In: International Journal of Pure and Applied Mathematics 55 (2009), S. 165-172
ISSN: 1311-8080
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Pfaffelhuber P., Winter A., Greven A.:
Convergence in distribution of random metric measure spaces (The Lambda-coalescent measure tree)
In: Probability Theory and Related Fields 145 (2009), S. 285-322
ISSN: 0178-8051
URL: https://link.springer.com/article/10.1007/s00440-008-0169-3
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Popovic L., Winter A., Greven A.:
Genealogy of catalytic branching models
In: Annals of Applied Probability 19 (2009), S. 1243-1272
ISSN: 1050-5164
DOI: 10.1214/08-AAP574
URL: https://projecteuclid.org/euclid.aoap/1245071025
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Dawson DA., den Hollander F., Sun R., Swart JM., Greven A.:
The renormalization transformation for two-type branching models
In: Annales de l'Institut Henri Poincaré - Probabilités Et Statistiques 44 (2008), S. 1038-1077
ISSN: 0246-0203
DOI: 10.1214/07-AIHP143
URL: https://arxiv.org/abs/math/0610645v2
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den Hollander F., Greven A.:
Phase transitions for the long-time behavior of interacting diffusions
In: Annals of Probability 35 (2007), S. 1250-1306
ISSN: 0091-1798
DOI: 10.1214/009117906000001060
URL: https://projecteuclid.org/euclid.aop/1181334245
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Greven A.:
Multi-scale analysis of population models
In: A. Bovier, F. Dunlop, A. van Enter, F. den Hollander, J. Dalibard (Hrsg.): Mathematical statistical physics, 2006, S. 547-605 (École d'ÉtÉ de physique des houches session LXXXIII, Bd.83)
DOI: 10.1016/S0924-8099(06)80049-1
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Greven A.:
Renormalisation and Universality for Multitype Population Models
In: J.-D. Deuschel, A. Greven (Hrsg.): Interacting Stochastic Systems, Part II, Hamburg: Springer Verlag, 2005, S. 209-244
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Greven A., Winter A., Limic V.:
Representation theorems for interacting moran models, interacting Fisher-wright diffusions and applications
In: Electronic Journal of Probability 10 (2005), S. 1286-1358
ISSN: 1083-6489
URL: https://projecteuclid.org/euclid.ejp/1464816840
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Cox JT., Dawson DA., Greven A.:
Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis
American Mathematical Society, 2004
(Memoirs of the American Mathematical Society, Bd.171)
ISBN: 978-0-8218-3542-5
DOI: 10.1090/memo/0809
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Dawson DA., Greven A.:
State dependent multi-type spatial branching processes and their longtime behaviour
In: European Journal of Physics 8 (2003), S. 1-93
ISSN: 0143-0807
URL: https://projecteuclid.org/euclid.ejp/1464037577
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Warnecke G., Keller G., Greven A.:
Entropy
Princeton: Princeton University Press, 2003
ISBN: 9780691113388
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Klenke A., Wakolbinger A., Greven A.:
Interacting diffusions in a random medium: comparison and longtime behavior
In: Stochastic Processes and their Applications 98 (2002), S. 23-41
ISSN: 0304-4149
DOI: 10.1016/S0304-4149(01)00141-7
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Klenke A., Wakolbinger A., Greven A.:
Interacting Fisher-Wright Diffusions in a Catalytic Medium
In: Probability Theory and Related Fields 120 (2001), S. 85-117
ISSN: 0178-8051
DOI: 10.1007/PL00008777
URL: https://link.springer.com/article/10.1007/PL00008777
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Greven A.:
Interacting stochastic systems: Longtime behavior and its renormalization analysis
In: Jahresbericht der deutschen Mathematiker-Vereinigung 102 (2000), S. 149-170
ISSN: 0012-0456
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Greven A.:
On Phase-Transitions in Spatial Branching Systems with Interaction
Canadian Mathematical Society Conference
In: Gorostizza, Ivanov (Hrsg.): Stochastic models, Providence: 2000
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Greven A.:
Renormalization Analysis of interacting spatial stochastic systems
Infinite-dimensional stochastic analysis (Amsterdam, 11-02-1999 - 12-02-1999)
In: Ph. Clément, F. den Hollander, J. van Neerven, B. de Pagter (Hrsg.): Proceedings of the Royal Dutch Academy 2000
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Greven A., Hochberg K.:
New Behavioral Patterns for Two-Level Branching Systems
Stochastic Models
In: Gorostizza, Ivanov (Hrsg.): Canadian Mathematical Society Conference Proceedings, Providence: 2000
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Dawson DA., Greven A.:
Hierarchically interacting Fleming-Viot processes with selection and mutation: Multiple space time scale analysis and quasi equilibria
In: Electronic Journal of Probability 4 (1999), S. 1-8
ISSN: 1083-6489
DOI: 10.1214/EJP.v4-41
URL: https://projecteuclid.org/euclid.ejp/1457125513
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Greven A., Klenke A., Wakolbinger A.:
The longtime behavior of branching random walk in a catalytic medium
In: Electronic Journal of Probability 4 (1999), S. 80 pp.
ISSN: 1083-6489
DOI: 10.1214/EJP.v4-49
URL: https://projecteuclid.org/euclid.ejp/1457125521
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Greven A., Cox JT., Shiga T.:
Finite and infinite systems of interacting diffusions: Cluster formation and universality properties
In: Mathematische Nachrichten 192 (1998), S. 105-124
ISSN: 0025-584X
URL: https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.19981920107
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Baillon JB., Clément PPJE., Greven A., den Hollander F.:
On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusion. Part II: The noncompact case
In: Journal of Functional Analysis 146 (1997), S. 236-298
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.3031
URL: https://www.sciencedirect.com/science/article/pii/S0022123696930311?via=ihub
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Bramson M., Cox JT., Greven A.:
Invariant measures of critical spatial branching processes in high dimensions
In: Annals of Probability 25 (1997), S. 56-70
ISSN: 0091-1798
DOI: 10.1214/aop/1024404278
URL: https://projecteuclid.org/euclid.aop/1024404278
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Cox JT., Fleischmann K., Greven A.:
Comparison of interacting diffusions and an application to their ergodic theory
In: Probability Theory and Related Fields 105 (1996), S. 513-528
ISSN: 0178-8051
DOI: 10.1007/BF01191911
URL: https://link.springer.com/article/10.1007/BF01191911
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Dawson DA., Greven A.:
Multiple space-time scale analysis for interacting branching models
In: Electronic Journal of Probability 1 (1996), S. 1-84
ISSN: 1083-6489
DOI: 10.1214/EJP.v1-14
URL: https://projecteuclid.org/euclid.ejp/1453756477
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Fleischmann K., Greven A.:
Time-space analysis of the cluster-formation in interacting diffusions
In: Electronic Journal of Probability 1 (1996), S. 1-46
ISSN: 1083-6489
DOI: 10.1214/EJP.v1-6
URL: https://projecteuclid.org/euclid.ejp/1453756469
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Baillon JB., Clément PPJE., Greven A., den Hollander F.:
On the attracting orbit of a nonlinear transformation arising from renormalisation of hierarchially interacting diffusions. Part I: The compact case
In: Canadian Journal of Mathematics-Journal Canadien De Mathematiques 47 (1995), S. 3-27
ISSN: 0008-414X
URL: https://openaccess.leidenuniv.nl/handle/1887/63061
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Cox JT., Greven A., Shiga T.:
Finite and infinite systems of interacting diffusions
In: Probability Theory and Related Fields 102 (1995), S. 165-197
ISSN: 0178-8051
DOI: 10.1007/BF01204213
URL: https://link.springer.com/article/10.1007/BF01204213
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Cranston M., Greven A.:
Coupling and harmonic functions in the case of continuous time Markov processes
In: Stochastic Processes and their Applications 60 (1995), S. 261-286
ISSN: 0304-4149
DOI: 10.1016/0304-4149(95)00055-0
URL: https://www.sciencedirect.com/science/article/pii/0304414995000550?via=ihub
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Dawson DA., Greven A., Vaillancourt J.:
Equilibria and quasi-equlibria for infinite systems of Feming-Viot processes
In: Transactions of the American Mathematical Society 347 (1995), S. 2277-2361
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-1995-1297523-5
URL: http://www.ams.org/journals/tran/1995-347-07/S0002-9947-1995-1297523-5/
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Baillon JB., Clément PPJE., Greven A., den Hollander F.:
On a variational problem for an infinite particle system in a random medium. Part I: The global growth rate
In: Journal für die reine und angewandte Mathematik 1994 (1994), S. 181-217
ISSN: 1435-5345
DOI: 10.1515/crll.1994.454.181
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Cox JT., Greven A.:
Ergodic theorems for systems of locally interacting diffusions
In: Annals of Probability 22 (1994), S. 833-853
ISSN: 0091-1798
DOI: 10.1214/aop/1176988732
URL: https://projecteuclid.org/euclid.aop/1176988732
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Cox JT., Greven A.:
The finite systems scheme: An abstract theorem and a new example
In: Proceedings of CRM Conference on Measure valued processes, Stochastic partial differential equation and interacting Systems, 1994, S. 55-68 (CRM Proceedings and Lecture Notes of the American Mathematical Society, Bd.5)
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Fleischmann K., Greven A.:
Diffusive clustering in an infinite system of hierarchically interacting diffusions
In: Probability Theory and Related Fields 98 (1994), S. 517-566
ISSN: 0178-8051
DOI: 10.1007/BF01192837
URL: https://link.springer.com/article/10.1007/BF01192837
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Greven A.:
Coupling in the theory of interacting systems
In: Acta Applicandae Mathematicae 34 (1994), S. 17-35
ISSN: 0167-8019
DOI: 10.1007/BF00994255
URL: https://link.springer.com/article/10.1007/BF00994255
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Greven A., den Hollander F.:
Large Deviations for a random walk in random environment
In: Annals of Probability 22 (1994), S. 1381-1428
ISSN: 0091-1798
DOI: 10.1214/aop/1176988607
URL: https://projecteuclid.org/euclid.aop/1176988607
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Greven A., den Hollander F.:
On a variational problem for an infinite particle system in a random medium Part II: The local growth rate
In: Probability Theory and Related Fields 100 (1994), S. 301-328
ISSN: 0178-8051
DOI: 10.1007/BF01193703
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Baillon JB., Clément PPJE., Greven A., den Hollander F.:
A Variational Approach to Branching Random Walk in Random Environment
In: Annals of Probability 21 (1993), S. 290-317
ISSN: 0091-1798
DOI: 10.1214/aop/1176989405
URL: https://projecteuclid.org/euclid.aop/1176989405
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Bramson M., Cox JT., Greven A.:
Ergodicity of critical spatial branching processes in low dimensions
In: Annals of Probability 21 (1993), S. 1946-1957
ISSN: 0091-1798
DOI: 10.1214/aop/1176989006
URL: https://projecteuclid.org/euclid.aop/1176989006
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Dawson DA., Greven A.:
Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
In: Probability Theory and Related Fields 96 (1993), S. 435-473
ISSN: 0178-8051
DOI: 10.1007/BF01200205
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Dawson DA., Greven A.:
Multiple time scale analysis of interacting diffusions
In: Probability Theory and Related Fields 95 (1993), S. 467-508
ISSN: 0178-8051
DOI: 10.1007/BF01196730
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Greven A., den Hollander F.:
A Variational characterisation of the speed of a one-dimensional self-repellent random walk
In: Annals of Probability 3 (1993), S. 1067-1099
ISSN: 0091-1798
DOI: 10.1214/aoap/1177005273
URL: https://projecteuclid.org/euclid.aoap/1177005273
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Greven A., Fleischmann K.:
Localisation and Selection for a Mean Field Branching Random Walk in Random Environment
In: Annals of Probability 20 (1992), S. 2141-2163
ISSN: 0091-1798
DOI: 10.1214/aop/1176989543
URL: https://projecteuclid.org/euclid.aop/1176989543
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Greven A., den Hollander F.:
Branching random walk in random environment: phase transitions for local and global growth rates
In: Probability Theory and Related Fields 91 (1992), S. 195-249
ISSN: 0178-8051
DOI: 10.1007/BF01291424
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Greven A.:
A phase transition for the coupled branching process - Part I: The ergodic theory in the range of finite second moments
In: Probability Theory and Related Fields 87 (1991), S. 417-458
ISSN: 0178-8051
DOI: 10.1007/BF01304274
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Greven A., den Hollander F.:
Population growth in random media - II. Wavefront propagation
In: Journal of Statistical Physics 65 (1991), S. 1147-1154
ISSN: 0022-4715
DOI: 10.1007/BF01049603
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Greven A., den Hollander F.:
Population growth in random media. I. Variational formula and phase diagram
In: Journal of Statistical Physics 65 (1991), S. 1123-1146
ISSN: 0022-4715
DOI: 10.1007/BF01049602
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Cox JT., Greven A.:
On the long term behavior of some finite particle systems
In: Probability Theory and Related Fields 85 (1990), S. 195-237
ISSN: 0178-8051
DOI: 10.1007/BF01277982
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Greven A.:
Symmetric exclusion on random sets and a related problem for random walks in random environment
In: Probability Theory and Related Fields 85 (1990), S. 307-364
ISSN: 0178-8051
DOI: 10.1007/BF01193942
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Greven A., den Hollander F.:
Branching Random Walk in Random Environment. II. Wavefront Propagation
In: Journal of Statistical Physics 65 (1990), S. 1147-1154
ISSN: 0022-4715
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Greven A., den Hollander F.:
Branching Random Walk in Random Environment. I. Phase diagram and variational problem
In: Journal of Statistical Physics 65 (1990), S. 1123-1146
ISSN: 0022-4715
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Greven A.:
Couplings of markov chains by randomized stopping times - Part I: Couplings, harmonic functions and the poisson equation
In: Probability Theory and Related Fields 75 (1987), S. 195-212
ISSN: 0178-8051
DOI: 10.1007/BF00354033
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Greven A.:
Couplings of Markov chains by randomized stopping times - Part II: Short couplings for 0-recurrent chains and harmonic functions
In: Probability Theory and Related Fields 75 (1987), S. 431-458
ISSN: 0178-8051
DOI: 10.1007/BF00318710
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Greven A.:
A class of infinite particle systems in random environment
In: P- Tautu (Hrsg.): Lecture Notes in Mathematics, Berlin Heidelberg New York: Springer, 1986, S. 145-164
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Greven A.:
The hydrodynamical behavior of the coupled branching process
In: Annals of Probability 12 (1984), S. 760-767
ISSN: 0091-1798
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Publications of A. Greven

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