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 PhD 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 funded through the following grants and awards:

The Ruth and Nils-Erik Stenbäck Foundation, stipend award, 2022.
Swedish Research Council (VR), research project grant, 2022-2025.
Swedish Research Council (VR), starting grant, 2017-2021.
Swedish Research Council (VR), international postdoc grant, 2014-2017.
Brazilian Council of Technology and Scientific Development (CNPq), postdoctoral grant, 2012-2014.

Erdős number: 2

miscellaneous

The department announce
postdoc fellowships
at an annual basis, typically in October-November. PhD positions are usually announced in March-April.

Notice: Short course on Percolation Theory given in May 2024.

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.

Ekaterina Toropova, Stockholm university (since 09/2023)
Daniel de la Riva, Stockholm University (since 09/2020, 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, M. Deijfen and M. Sfragara. Mean field stable matchings.
Submitted.
arxiv

D. Ahlberg and D. de la Riva. Is 'being above the median' a noise sensitive property?
Submitted.
arxivvideo

D. Ahlberg, M. Deijfen and M. Sfragara. Chaos, concentration and multiple valleys in first-passage percolation.
Under revision.
arxivvideo

D. Ahlberg, J. Hanson and C. Hoffman. The number of geodesics in planar first-passage percolation grows sublinearly.
Under revision.
arxivvideo

D. Ahlberg and C. Hoffman. Random coalescing geodesics in first-passage percolation.
Under revision.
arxivtalk

published manuscripts

D. Ahlberg, O. Angel and B. Kolesnik. Annihilating branching Brownian motion. International Mathematical Research Notices, rnae068, 2024.
arxivjournalvideo

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.
arxivjournalvideo

D. Ahlberg and C. Fransson. Multi-colour competition with reinforcement. Annales de l'Institut Henri Poincaré Probabilités et Statistiques, 60(3): 1767-1787, 2024.
arxivjournalvideo

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.
arxivjournaltalk

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.
arxivjournal

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.
arxivbook

D. Ahlberg. Tertiles and the time constant. Journal of Applied Probability, 57(2): 407-408, 2020.
arxivjournal

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.
arxivjournal

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.
arxivjournal

D. Ahlberg and R. Baldasso. Noise sensitivity and Voronoi percolation. Electronic Journal of Probability, 23(108): 1-21, 2018.
arxivjournal

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.
arxivjournal

D. Ahlberg and J. Tykesson. Gilbert's disc model with geostatistical marking. Advances in Applied Probability, 50(4): 1075-1094, 2018.
arxivjournal

D. Ahlberg, S. Griffiths, S. Janson and R. Morris. Competition in growth and urns. Random Structures and Algorithms, 54(2): 211-227, 2019.
arxivjournaltalk

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.
arxivjournal

D. Ahlberg, S. Griffiths, R. Morris and V. Tassion. Quenched Voronoi percolation. Advances in Mathematics, 286: 889-911, 2016.
arxivjournal

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.
arxivjournal

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.
arxivjournal
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.
arxivjournal

D. Ahlberg. A Hsu-Robbins-Erdős strong law in first-passage percolation. The Annals of Probability, 43(4): 1992-2025, 2015.
arxivjournal

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.
arxivjournal

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.
arxivjournal

D. Ahlberg. Partially observed Boolean sequences and noise sensitivity. Combinatorics, Probability and Computing, 23(3): 317-330, 2014.
arxivjournal

D. Ahlberg, E. Broman, S. Griffiths and R. Morris. Noise sensitivity in continuum percolation. Israel Journal of Mathematics, 201(2): 847-899, 2014.
arxivjournal

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.
arxivjournal

D. Ahlberg. Asymptotics of first-passage percolation on 1-dimensional graphs. Advances in Applied Probability, 47(1): 182-209, 2015.
arxivjournal

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