Publications

List of Publications

Submitted:

Sandra Kliem, Anita Winter:
Evolving phylogenies of trait-dependent branching with mutation and competition. Part I: Existence
arxiv:1705.03277

Andreas Greven, Anja Sturm, Iljana Zähle, Anita Winter:
Multi-type spatial branching models for local self-regulation, I: Construction and an exponential duality
arXiv:1509.0402

Andreas Greven, Vlada Limic, Anita Winter:
Coalescent processes arising in the study of diffusive clustering
arXiv:math.PR/0703875

R. van der Hofstad, Sandra Kliem and Johan S.H. van Leeuwaarden:
Cluster tails for critical power-law inhomogeneous random graphs
version on the arXiv (44 pages, 2014): pdf

Lisa Hartung, Anton Klimovsky:
The phase diagram of the complex branching Brownian motion energy model
[ PDF, arXiv ]

Andreas Greven, Frank den Hollander, Anton Klimovsky:
The hierarchical Cannings process in random environment
[ PDF, arXiv ]

Zakhar Kabluchko, Anton Klimovsky:
Gaussian fluctuations in generalized random energy model at complex temperatures
[ PDF, arXiv ]

Zakhar Kabluchko, Anton Klimovsky:
Generalized random energy model at complex temperatures
[ PDF, arXiv ]


Publications

2017:

Siva Athreya, Wolfgang Löhr, Anita Winter:
Invariance principle for variable speed random walks on trees
Annals of Probability, 45 (2): 625-667, arXiv:math.PR/1404.6290.

Sandra Kliem:
Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support
Stochastic Process. Appl., 2017, http://dx.doi.org/10.1016/j.spa.2016.06.012 (34 pages).


2016:

Andreas Greven, Rongfeng Sun, Anita Winter:
Continuum Space Limit of the Genealogies of Interacting Fleming-Viot Prozesses on Z Electronic Journal of Probability, Volume 21, No. 58, 1-64, arXiv:1508.07169.

Siva Athreya, Wolfgang Löhr, Anita Winter:
The gap between Gromov-vague and Gromov-Hausdorff-vague topology
Stochastic Processes and their Applications, 126 (9): 2527-2553, arXiv:1407.6309.

E. Aïdékon, R. van der Hofstad, S. Kliem and Johan S.H. van Leeuwaarden:
Large deviations for power-law thinned Lévy processes
Stochastic Process. Appl., 126 (5), 1353-1384, http://dx.doi.org

Wolfgang Löhr, Thomas Rippl:
Boundedly finite measures: Separation and convergence by an algebra of functions
Electronic Communications in Probability, 21 (60):1-16, 2016. MR3548772. Paper. arXiv Preprint.


2015:

Wolfgang Löhr, Guillaume Voisin, Anita Winter:
Convergence of bi-measure R-trees and the pruning process
Annales de l'Institut Henri Poincaré (B) Probababilités et Statistiques, Volume 51, No. 4, 1342-1368, arXiv:math.PR/1304.6035.

Sandra Kliem, Wolfgang Löhr:
Existence of mark functions in marked metric measure spaces
Electron. J. Probab., 20 (73), 1-24, Paper. arXiv Preprint.

Nihat Ay, Wolfgang Löhr:
The Umwelt of an Embodied Agent -- A Measure-Theoretic Definition
Theory in Biosciences, 134 (3):105-116, 2015. Paper. Preprints: SFI Working Paper (pdf), arXiv.

Lisa Hartung, Anton Klimovsky:
The glassy phase of the complex branching Brownian motion energy model
Electron. Commun. Probab. 20 (78), 1–15. 2015.
[ PDF, arXiv, journal version ]


2014:

A.Greven, F. den Hollander, S. Kliem and A. Klimovsky:
Renormalisation of hierarchically interacting Cannings processes
ALEA, Lat. Am. J. Probab. Stat. 11 (1), 43--140, PDF

Sandra Kliem:
A compact containment result for nonlinear historical superprocess approximations for population models with trait-dependence
Electron. J. Probab., 19 (97), 1--13, dx.doi.org/

Zakhar Kabluchko, Anton Klimovsky:
Complex Random Energy Model: Zeros and Fluctuations
Prob. Theor. and Rel. Fields. 158. Pages 159-196. 2014.
[ PDF, arXiv, journal version, EURANDOM report ]
 

2013:

Siva Athreya, Michael Eckhoff, Anita Winter:
Brownian motion on real trees
Transaction American Mathematics Society, Volume 365, 3115-3150, arXiv:math.PR/1102.3215.

Andreas Greven, Peter Pfaffelhuber, Anita Winter:
Tree-valued resampling dynamics: Martingale problems and applications
Probability Theory and Related Fields, Volume 155(3-4), 789-838, arXiv:math.PR/0806.2224 .

Wolfgang Löhr:
Equivalence of Gromov-Prohorov- and Gromov's Box-Metric on the Space of Metric Measure Spaces
Electronic Communications in Probability, 18 (17):1-10, 2013. MR3037215. Paper. arXiv Preprint.


2012:

Wolfgang Löhr, Arleta Szkoła, Nihat Ay:
Process Dimension of Classical and Non-Commutative Processes
Open Systems & Information Dynamics, 19 (1):1-14, 2012. MR2910001. Paper. arXiv Preprint.

Wolfgang Löhr:
Predictive Models and Generative Complexity
Journal of System Science and Complexity, 25 (1):30-45, 2012. MR2886523. Paper. Preprint (pdf)

Anton Klimovsky:
High-dimensional Gaussian fields with isotropic increments seen through spin glasses
Electron. Commun. Probab. 17. 2012.
[ PDF, journal version, arXiv, EURANDOM report ]


2011:

Sandra Kliem:
Long-term behaviour of a cyclic catalytic branching system
Stochastic Process. Appl., 121, 357--377, dx.doi.org/.

Sandra Kliem:
Convergence of Rescaled Competing Species Processes to a Class of SPDEs
Electron. J. Probab., 16, 618--657, dx.doi.org/.

Anton Klimovsky:
Towards renormalisation of the hierarchically interacting heavy-tailed Lambda-Cannings models
Oberwolfach Reports, 8(1):806–809, March 2011.
[ journal version ].


2009:

Andreas Greven, Peter Pfaffelhuber, Anita Winter:
Convergence in distribution of random metric measure spaces: The Lambda-coalescent measure tree
Probability Theory and Related Fields, Volume 145(1-2), 285-322, arXiv:math.PR/0609801v3 .

Andreas Greven, Lea Popovic, Anita Winter:
Genealogy of catalytic branching models
Annals of Applied Probability , Volume 19(3), 1232-1272, arXiv:math.PR/0606313.

Sandra Kliem:
Degenerate Stochastic Differential Equations for Catalytic Branching Networks
Ann. Inst. H. Poincaré Probab. Statist., 45, 943--980, arXiv.