DANIEL AHLBERG Associate professor (universitetslektor, docent) Departement of Mathematics Stockholm University - Sweden daniel dot ahlberg at math dot su dot se Collage with paper, ink and coffee. introduction I am a mathematician who uses probability theory to understand the world around us. My research interests span a wide range of random processes, in particular those with a spatial component. These include percolation processes, spatial growth models, aspects competing growth, random processes with reinforcement, combinatorial optimisation problems, and the analysis of Boolean function. I am affiliated with Stockholm University since 04/2017 (tenured 01/2022). I hold a Ph.D. from the University of Gothenburg since 09/2011 (supervised by Olle Häggström), and have been a postdoctoral researcher at MSRI (Berkeley), IMPA (Rio de Janeiro) and Uppsala University. Research in part supported by the Swedish Research Council (VR) and the Ruth and Nils Stenbäck Foundation. A list of publications can be found below, and also on my author profiles at arXiv, Google Scholar and MathSciNet. Erdős number: 2 miscellaneous The department announce postdoc fellowships at an annual basis, typically in October-November. featured research educational material Below you will find some material intended as a companion for undergraduate students interested in probability theory. The written material may serve as an illustration of the use of probabilistic techniques in a specific problem. The video tutorials provide an overview of basic concepts in probability theory and the theory of Markov chain mixing. Written notes: Conditional probabilities and expectation. Epidemics and branching processes. Polya's urn and martingales. Video tutorials: Probability basics. Markov chains and mixing times. doctoral students Ekaterina Toropova, Stockholm university (since 2023) Daniel de la Riva, Stockholm University (transfered to UBC) Benjamin Walsh, Stockholm University (discontinued) Carolina Fransson, Stockholm University, co-advisor (defended 02/2023) Rangel Baldasso, IMPA, Rio de Janeiro, co-advisor (defended 09/2017) preprint manuscripts D. Ahlberg and D. de la Riva. Is 'being above the median' a noise sensitive property? arxiv video D. Ahlberg, M. Deijfen and M. Sfragara. Chaos, concentration and multiple valleys in first-passage percolation. arxiv video D. Ahlberg, J. Hanson and C. Hoffman. The number of geodesics in planar first-passage percolation grows sublinearly. arxiv video D. Ahlberg and C. Hoffman. Random coalescing geodesics in first-passage percolation. arxiv talk published manuscripts D. Ahlberg, O. Angel and B. Kolesnik. Annihilating branching Brownian motion. International Mathematical Research Notices, to appear. arxiv video D. Ahlberg, M. Deijfen and M. Sfragara. From stability to chaos in last-passage percolation. Bulletin of the London Mathematical Society, 56(1): 411-422, 2024. arxiv journal video D. Ahlberg and C. Fransson. Multi-colour competition with reinforcement. Annales de l'Institut Henri Poincaré Probabilités et Statistiques, to appear. arxiv video D. Ahlberg, D. de la Riva and S. Griffiths. On the rate of convergence in quenched Voronoi percolation. Electronic Journal of Probability, 26: 1-26, 2021. arxiv journal talk D. Ahlberg, S. Griffiths and S. Janson. To fixate or not to fixate in two-type annihilating branching random walks. The Annals of Probability, 49(5): 2637-2667, 2021. arxiv journal D. Ahlberg. Existence and coexistence in first-passage percolation. In: In and out of equilibrium 3: Celebrating Vladas Sidoravicius (R. Fernandez, L. R. Fontes, C. Newman, M. E. Vares, editors), Progress in Probability 77:1-15, 2021, Springer. arxiv book D. Ahlberg. Tertiles and the time constant. Journal of Applied Probability, 57(2): 407-408, 2020. arxiv journal D. Ahlberg, M. Deijfen and C. Hoffman. The two-type Richardson model in the half-plane. Annals of Applied Probability, 30(5): 2261-2271, 2020. arxiv journal D. Ahlberg, M. Deijfen and S. Janson. Competing first passage percolation on random graphs with finite variance degrees. Random Structures and Algorithms, 55(3): 545-559, 2019. arxiv journal D. Ahlberg and R. Baldasso. Noise sensitivity and Voronoi percolation. Electronic Journal of Probability, 23(108): 1-21, 2018. arxiv journal D. Ahlberg, V. Tassion and A. Teixeira. Existence of an unbounded vacant set for subcritical continuum percolation. Electronic Communications in Probability, 23(63): 1-8, 2018. arxiv journal D. Ahlberg and J. Tykesson. Gilbert's disc model with geostatistical marking. Advances in Applied Probability, 50(4): 1075-1094, 2018. arxiv journal D. Ahlberg, S. Griffiths, S. Janson and R. Morris. Competition in growth and urns. Random Structures and Algorithms, 54(2): 211-227, 2019. arxiv journal talk D. Ahlberg, V. Tassion and A. Teixeira. Sharpness of the phase transition for continuum percolation in R^2. Probability Theory and Related Fields, 172(1-2): 525-581, 2018. arxiv journal D. Ahlberg, S. Griffiths, R. Morris and V. Tassion. Quenched Voronoi percolation. Advances in Mathematics, 286: 889-911, 2016. arxiv journal D. Ahlberg. A temporal perspective on the rate of convergence in first-passage percolation. Brazilian Journal of Probability and Statistics, 33(2): 397-401, 2019. arxiv journal D. Ahlberg and J. E. Steif. Scaling limits for the threshold window: When does a monotone Boolean function flip its outcome? Annales de l'Institut Henri Poincaré Probabilités et Statistiques, 53(4): 2135-2161, 2017. arxiv journal With an appendix by Gábor Pete. D. Ahlberg, M. Damron and V. Sidoravicius. Inhomogeneous first-passage percolation. Electronic Journal of Probability, 21(4): 1-19, 2016. arxiv journal D. Ahlberg. A Hsu-Robbins-Erdős strong law in first-passage percolation. The Annals of Probability, 43(4): 1992-2025, 2015. arxiv journal D. Ahlberg, H. Duminil-Copin, G. Kozma and V. Sidoravicius. Seven-dimensional forest fires. Annales de l'Institut Henri Poincaré Probabilités et Statistiques, 51(3): 862-866, 2015. arxiv journal D. Ahlberg, V. Sidoravicius and J. Tykesson. Bernoulli and self-destructive percolation on non-amenable graphs. Electronic Communications in Probability, 19(40): 1-6, 2014. arxiv journal D. Ahlberg. Partially observed Boolean sequences and noise sensitivity. Combinatorics, Probability and Computing, 23(3): 317-330, 2014. arxiv journal D. Ahlberg, E. Broman, S. Griffiths and R. Morris. Noise sensitivity in continuum percolation. Israel Journal of Mathematics, 201(2): 847-899, 2014. arxiv journal D. Ahlberg. Convergence towards an asymptotic shape in first-passage percolation on cone-like subgraphs of the integer lattice. Journal of Theoretical Probability, 28(1): 198-222, 2015. arxiv journal D. Ahlberg. Asymptotics of first-passage percolation on 1-dimensional graphs. Advances in Applied Probability, 47(1): 182-209, 2015. arxiv journal J. Elgqvist, D. Ahlberg, H. Andersson, H. Jensen, B. R. Johansson, H. Kahu, M. Olsson and S. Lindegren. Intraperitoneal alpha-radioimmunotherapy of advanced ovarian cancer in nude mice using different high specific activities. World Journal of Oncology, 1:101-110, 2010. journal treatise manuscripts Asymptotics and dynamics in first-passage and continuum percolation. Ph.D. thesis, University of Gothenburg, 2011. Asymptotics of first-passage percolation on 1-dimensional graphs. Licentiate thesis, University of Gothenburg, 2008. Some variants of the Max Nöther and Macaulay theorems. Master thesis, University of Gothenburg, 2006.