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  1. Startseite
  2. Mathematische Stochastik
  3. Prof. Dr. Andreas Greven
  4. Publications

Publications

Bereichsnavigation: Mathematische Stochastik
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  • Prof. Dr. Torben Krüger
  • Prof. Dr. Andreas Greven
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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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • Warnecke G., Keller G., Greven A.:
    Entropy
    Princeton: Princeton University Press, 2003
    ISBN: 9780691113388
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • Greven A.:
    On Phase-Transitions in Spatial Branching Systems with Interaction
    Canadian Mathematical Society Conference
    In: Gorostizza, Ivanov (Hrsg.): Stochastic models, Providence: 2000
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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/
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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)
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download
  • 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
    BibTeX: Download

  • 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
    BibTeX: Download

    BibTeX: Download

  • Greven A.:
    The hydrodynamical behavior of the coupled branching process
    In: Annals of Probability 12 (1984), S. 760-767
    ISSN: 0091-1798
    BibTeX: Download
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