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.

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

Erdős number: 2


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 the theory of Markov chain mixing, and suitable for an advanced undergraduate course on the topic.

Written notes:
Epidemics and branching processes.
Polya's urn and martingales.

Video tutorials:
Markov chains and mixing times.

doctoral students

Daniel de la Riva, Stockholm University
Benjamin Walsh, Stockholm University (discontinued)
Carolina Fransson, Stockholm University, co-advisor
Rangel Baldasso, IMPA, Rio de Janeiro, co-advisor (defended 09/2017)


preprint manuscripts

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


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.