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 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.

A list of publications can be found below. For citations, statistics, etc., see MathSciNet and Google Scholar.

Erdős number: 2

miscellaneous

Students looking for a PhD position, or a postdoc, in discrete probability theory are welcome to get in contact.

educational material

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.

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

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)

featured research



preprint manuscripts

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

D. Ahlberg and C. Fransson.
Multi-colour competition with reinforcement.
arxiv video

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

published manuscripts

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.