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 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.

A list of publications can be found below, and also on my author profiles at arXiv, Google Scholar and MathSciNet.

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.

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

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

published manuscripts

D. Ahlberg and D. de la Riva.
Is 'being above the median' a noise sensitive property?
Transactions of the American Mathematical Society, to appear. arxiv video

D. Ahlberg, M. Deijfen and M. Sfragara.
Chaos, concentration and multiple valleys in first-passage percolation.
Annales de l'Institut Henri Poincaré Probabilités et Statistiques, to appear. arxiv video

D. Ahlberg, O. Angel and B. Kolesnik.
Annihilating branching Brownian motion.
International Mathematical Research Notices, 2024(13): 10425-10448, 2024. arxiv journal 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, 60(3): 1767-1787, 2024. arxiv journal 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.