a) Peer-reviewed publications:
Greven, A., den Hollander, F., Klimovsky, A., & Winter, A. (2024). The grapheme-valued Wright-Fisher diffusion with mutation. Theoretical Population Biology. DOI: https://doi.org/10.1016/j.tpb.2024.04.007
Drewitz, A., Heydenreich, M., & Mailler, C. (2024). Voronoi cells in random split trees. Annales Henri Lebesgue, 7, 123-159. DOI: https://doi.org/10.5802/ahl.195
Bethuelsen, S. A., Birkner, M., Depperschmidt, A., & Schlüter, T. (2023). Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster. Electronic Journal of Probability, 28, 1-54. DOI: https://doi.org/10.1214/23-EJP1051
Gracar, P., Heydenreich, M., Mönch, C., & Mörters, P. (2022). Recurrence versus transience for weight-dependent random connection models. Electronic Journal of Probability, 27, 1-31. DOI: https://doi.org/10.1214/22-EJP748
Heydenreich, M., & Hirsch, C. (2022). Extremal linkage networks. Extremes, 25(2), 229-255. DOI: https://doi.org/10.1007/s10687-021-00433-3
Bethuelsen, S. A., Hirsch, C., & Mönch, C. (2021). Quenched invariance principle for random walks on dynamically averaging random conductances. Electronic Communications in Probability, 26, 1-13. DOI: https://doi.org/10.1214/ECP.v26-6938
Baptista da Silva, G., Depperschmidt, A., & Valesin, D. (2021). Graph constructions for the contact process with a prescribed critical rate. Journal of Theoretical Probability, 34, 1585–1603. DOI: https://doi.org/10.1007/s10959-020-01063-4
Černý, J., & Klimovsky, A. (2020). Markovian dynamics of exchangeable arrays. In: Genealogies of Interacting Particle Systems, (pp. 209-228). World Scientific Publishing. DOI: https://doi.org/10.1142/9789811206092_0005
b) Preprints:
Bethuelsen, S. A., & Völlering, F. (2024). Random walks on random walks: non-perturbative results in high dimensions. arXiv preprint arXiv:2411.13926. DOI: https://doi.org/10.48550/arXiv.2411.13926
Bethuelsen, S. A., Birkner, M., Depperschmidt, A., & Schlüter, T. (2024). Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for d≥1. Preprint, arXiv:2410.14302. DOI: https://doi.org/10.48550/arXiv.2410.14302
Dette, H., & Rohde, A. (2024). Nonparametric bootstrap of high-dimensional sample covariance matrices. Preprint, arXiv:2406.16849. DOI: https://doi.org/10.48550/arXiv.2406.16849
van Belle, T., & Klimovsky, A. (2024). Meeting times of Markov chains via singular value decomposition. Preprint, arXiv:2406.04958. DOI: https://doi.org/10.48550/arXiv.2406.04958
Hartung, L., Mönch, C., & Völlering, F. (2024). The mean field stubborn voter model. Preprint, arXiv:2405.08202. DOI: https://doi.org/10.48550/arXiv.2405.08202
Hirsch, Ch., & Willhalm, D. (2024). Large deviations of one-hidden-layer neural networks. Preprint, arXiv:2403.09310. DOI: https://doi.org/10.48550/arXiv.2403.09310
Athreya, S., Drewitz, A., & Sun, R. (2023). An Invariance Principle for a Random Walk Among Moving Traps via Thermodynamic Formalism. Preprint, arXiv:2309.05452. DOI: https://doi.org/10.48550/arXiv.2309.05452
Drewitz, A., Gallo, G., & Gracar, P. (2023). Lipschitz cutset for fractal graphs and applications to the spread of infections. Preprint, arXiv:2308.02688. DOI: https://doi.org/10.48550/arXiv.2308.02688
Greven, A., den Hollander, F., Klimovsky, A., & Winter, A. (2023). Continuum graph dynamics via population dynamics: well-posedness, duality and equilibria. Preprint, arXiv:2303.08813. DOI: https://doi.org/10.48550/arXiv.2303.08813
Bethuelsen, S. A., & Völlering, F. (2023). Limit laws for random walks in a dynamic path-cone mixing random environment. Preprint, arXiv:2303.06756. DOI: https://doi.org/10.48550/arXiv.2303.06756
Drewitz, A., Heydenreich, M., & Mailler, C. (2021). Voronoi cells in random split trees. Preprint, arXiv:2103.08498. DOI: https://doi.org/10.48550/arXiv.2103.08498