Prof. Dr. Anita Winter

List of Publications:


Submitted

  • Foucart, Clément; Rivero, Víctor; Winter, Anita
    Conditioning the logistic continuous-state branching process on non-extinction via its total progeny
    arXiv:2408.14993, preprint.
  • Greven, Andreas; den Hollander, Frank; Klimovsky, Anton; Winter, Anita
    Continuum graph dynamics via population dynamics: well-posedness, duality and equilibria
    arXiv:2311.00173, preprint.
  • Berzunza Ojeda, Gabriel; Winter, Anita
    Convergence of the pruning processes of stable Galton-Watson trees and other R-trees
    arXiv:2304.10489, preprint.
  • Nussbaumer, Josué; Winter, Anita
    The algebraic α-Ford tree under evolution
    arXiv: 2006.09316, preprint
  • Osorio, Luis; Winter, Anita
    Two level branching model for virus population under cell division
    arXiv:2004.14352, preprint

Refereed articles

  • Greven, Andreas; den Hollander, Frank; Klimovsky, Anton; Winter, Anita
    The grapheme-valued Wright–Fisher diffusion with mutation
    In: Theoretical Population Biology Jg. 158 (2024) S. 76 - 88
    Online Volltext: dx.doi.org/ (Open Access)
  • Nussbaumer, Josué; Chi Tran, Viet; Winter, Anita
    Algebraic two-level measure trees
    In: Electronic Journal of Probability Jg. 29 (2024) 167
    Online Volltext: dx.doi.org/ (Open Access)
  • Winter, Anita
    Algebraic measure trees : Statistics based on sample subtree shapes and sample subtree masses
    In: Probabilistic Structures in Evolution / Baake, Ellen; Wakolbinger, Anton (Hrsg.) 2021, S. 451 - 475
    Online Volltext: dx.doi.org/
  • Sturm, Anja; Winter, Anita
    Multitype branching models with state-dependent mutation and competition in the context of phylodynamic patterns
    In: Probabilistic Structures in Evolution / Baake, Ellen; Wakolbinger, Anton (Hrsg.) 2021, S. 337 - 364
    Online Volltext: dx.doi.org/
  • Löhr, Wolfgang; Winter, Anita
    Spaces of algebraic measure trees and triangulations of the circle
    In: Bulletin de la SMF (Société Mathématique de France) Jg. 149 (2021) Nr. 1, S. 55 - 117
    Online Volltext: dx.doi.org/ (Open Access)
  • Berzunza, Gabriel; Sturm, Anja; Winter, Anita
    Trait-dependent branching particle systems with competition and multiple offspring
    In: Electronic Journal of Probability Jg. 26 (2021) 153
    Online Volltext: dx.doi.org/ (Open Access)
  • Löhr, Wolfgang; Mytnik, Leonid; Winter, Anita
    The aldous chain on cladograms in the diffusion limit
    In: The Annals of Probability Jg. 48 (2020) Nr. 5, S. 2565 - 2590
    Online Volltext: dx.doi.org/ (Open Access)
  • Hutzenthaler, Martin; Winter, Anita
    Zufällige Strukturen in der Evolutionsbiologie : Ohne Zufall keine Evolution
    In: Unikate: Berichte aus Forschung und Lehre (2019) Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 79 - 88
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Kliem, Sandra; Winter, Anita
    Evolving phylogenies of trait-dependent branching with mutation and competition, : Part I: Existence
    In: Stochastic Processes and their Applications Jg. 129 (2019) Nr. 12, S. 4837 - 4877
    Online Volltext: dx.doi.org/ (Open Access)
  • Athreya, Siva; Löhr, Wolfgang; Winter, Anita
    Invariance principle for variable speed random walks on trees
    In: The Annals of Probability Jg. 45 (2017) Nr. 2, S. 625 - 667
    Online Volltext: dx.doi.org/ (Open Access)
  • Winter, Anita; Löhr, Wolfgang; Athreya, Siva
    The gap between Gromov-vague and Gromov-Hausdorff-vague topology
    In: Stochastic Processes and their Applications Jg. 126 (2016) Nr. 9, S. 2527 - 2553
    Online Volltext: dx.doi.org/ (Open Access)
  • Greven, Andreas; Sun, Rongfeng; Winter, Anita
    Continuum space limit of the genealogies of interacting Fleming-Viot processes on Z
    In: Electronic Journal of Probability Jg. 21 (2016) S. 58 64 S.
    Online Volltext: dx.doi.org/ (Open Access)
  • Löhr, Wolfgang; Voisin, Guillaume; Winter, Anita
    Convergence of bi-measure R-trees and the pruning process
    In: Annales de l'Institut Henri Poincaré (B): Probability and Statistics Jg. 51 (2015) Nr. 4, S. 1342 - 1368
    Online Volltext: dx.doi.org/ (Open Access)
  • Greven, Andreas; Pfaffelhuber, Peter; Winter, Anita
    Tree-valued resampling dynamics Martingale problems and applications
    In: Probability Theory & Related Fields Jg. 155 (2013) Nr. 3-4, S. 789 - 838
    Online Volltext: dx.doi.org/
  • Athreya, Siva; Eckhoff, Michael; Winter, Anita
    Brownian motion on R-trees
    In: Transactions of the American Mathematical Society (TRAN) Jg. 365 (2013) Nr. 6, S. 3115 - 3150
    Online Volltext: dx.doi.org/
  • Greven, Andreas; Popovic, Lea; Winter, Anita
    Genealogy of catalytic branching models
    In: Annals of Applied Probability Jg. 19 (2009) Nr. 3, S. 1232 - 1272
    Online Volltext: dx.doi.org/ Online Volltext
  • Greven, Andreas; Pfaffelhuber, Peter; Winter, Anita
    Convergence in distribution of random metric measure spaces (Lambda-coalescent measure trees)
    In: Probability Theory and Related Fields Jg. 145 (2009) Nr. 1-2, S. 285 - 322
    Online Volltext: dx.doi.org/ Online Volltext
  • Evans, Steven N.; Pitman, Jim; Winter, Anita
    Rayleigh processes, real trees, and root growth with re-grafting
    In: Probability Theory and Related Fields Jg. 134 (2006) Nr. 1, S. 81 - 126
    Online Volltext: dx.doi.org/ Online Volltext
  • Engländer, János; Winter, Anita
    Law of large numbers for a class of superdiffusions
    In: Annales de l'Institut Henri Poincaré (B): Probability and Statistics Jg. 42 (2006) Nr. 2, S. 171 - 185
    Online Volltext; Online Volltext
  • Evans, Steven N.; Winter, Anita
    Subtree prune and regraft : a reversible real tree-valued Markov process
    In: Annals of Probability Jg. 34 (2006) Nr. 3, S. 918 - 961
    Online Volltext: dx.doi.org/ Online Volltext

Other

  • Hutzenthaler, Martin; Winter, Anita
    Zufällige Strukturen in der Evolutionsbiologie : Ohne Zufall keine Evolution.
    In: Unikate: Berichte aus Forschung und Lehre (2019) Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 79 - 88, Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Greven, Andreas; Anja Sturm; Winter, Anita; Zähle, Iljana
    Multi-type spatial branching models for local self-regulation, I: Construction and an exponential duality
    arXiv:1509.0402, preprint
  • Greven, Andreas; Limic, Vlada; Winter, Anita
    Coalescent processes arising in the study of diffusive clustering
    arXiv:0703875, preprint
  • Habilitation: Tree-valued Markov limit dynamics, pdf