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.
I am a probabilist with research interests that span a wide range of random spatial processes. I am particularly interested in percolation processes, spatial growth models, aspects of competing growth, combinatorial optimization problems, and analysis of Boolean function.
Since 04/2017 I am based at Stockholm University (tenured 01/2022). I obtained a Ph.D. at the University of Gothenburg (09/2011), supervised by Professor Olle Häggström.
Before coming to Stockholm I was a postdoctoral researcher at MSRI in Berkeley during a semester-long programme on random spatial processes, at IMPA in Rio de Janeiro, and at Uppsala University.
Research in part supported by the Swedish Research Council (VR) and the Ruth and Nils Stenbäck Foundation.
Students looking for a PhD position, or a postdoc, in discrete probability theory are welcome to get in contact.
Below you will find some material intended as a companion for undergraduate students interested in probability theory. The written material are 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.
Daniel de la Riva, Stockholm University (transfered to UBC)
Benjamin Walsh, Stockholm University (discontinued)
Carolina Fransson, Stockholm University, co-advisor
Rangel Baldasso, IMPA, Rio de Janeiro, co-advisor (defended 09/2017)
D. Ahlberg, J. Hanson and C. Hoffman. The number of geodesics in planar first-passage percolation grows sublinearly. arxivvideo
D. Ahlberg and C. Fransson. Multi-colour competition with reinforcement. arxivvideo
D. Ahlberg and C. Hoffman. Random coalescing geodesics in first-passage percolation. arxivtalk
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.
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.
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.
D. Ahlberg. Tertiles and the time constant. Journal of Applied Probability, 57(2): 407-408, 2020.
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.
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.
D. Ahlberg and R. Baldasso. Noise sensitivity and Voronoi percolation. Electronic Journal of Probability, 23(108): 1-21, 2018.
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.
D. Ahlberg and J. Tykesson. Gilbert's disc model with geostatistical marking. Advances in Applied Probability, 50(4): 1075-1094, 2018.
D. Ahlberg, S. Griffiths, S. Janson and R. Morris. Competition in growth and urns. Random Structures and Algorithms, 54(2): 211-227, 2019.
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.
D. Ahlberg, S. Griffiths, R. Morris and V. Tassion. Quenched Voronoi percolation. Advances in Mathematics, 286: 889-911, 2016.
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.
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.
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.
D. Ahlberg. A Hsu-Robbins-Erdős strong law in first-passage percolation. The Annals of Probability, 43(4): 1992-2025, 2015.
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.
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.
D. Ahlberg. Partially observed Boolean sequences and noise sensitivity. Combinatorics, Probability and Computing, 23(3): 317-330, 2014.
D. Ahlberg, E. Broman, S. Griffiths and R. Morris. Noise sensitivity in continuum percolation. Israel Journal of Mathematics, 201(2): 847-899, 2014.
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.
D. Ahlberg. Asymptotics of first-passage percolation on 1-dimensional graphs. Advances in Applied Probability, 47(1): 182-209, 2015.
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.