Anders Öberg
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 31 96
- E-mail:
- Anders.Oberg@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Anders Öberg at Department of Mathematics; Academic staff
Senior Lecturer/Associate Professor at Department of Mathematics; Dynamical Systems and Number Theory
- Telephone:
- +46 18 471 31 96
- E-mail:
- anders.oberg@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Visiting researcher at Department of Philosophy; Theoretical Philosophy; Emeriti and Otherwise Active
- Visiting address:
- Engelska parken, Thunbergsvägen 3 H
- Postal address:
- Box 627
751 26 UPPSALA
Short presentation
I study invariant measures in ergodic theory and dynamical systems. In particular, I have results on Doeblin measures (g-measures) and eigenfunctions for the transfer operator. My coauthors include Noam Berger, Svante Janson, Anders Johansson, Mark Pollicott, and Robert S. Strichartz.
Papers and Publications at Google Scholar
Biography
MA in Philosophy (and Mathematics), Umeå University, 13 January 1994
PhD in Mathematics, Umeå University, 10 June 1998
Docent in Mathematics, Uppsala University, 27 September 2005
PhD in Theoretical Philosophy, Uppsala University, 31 January 2012

Publications
Selection of publications
A piecewise contractive dynamical system and Phragmèn's election method
Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Part of Ergodic Theory and Dynamical Systems, p. 1317-1330, 2019
Ergodic Theory of Kusuoka Measures
Part of Journal of Fractal Geometry, p. 185-214, 2017
- DOI for Ergodic Theory of Kusuoka Measures
- Download full text (pdf) of Ergodic Theory of Kusuoka Measures
Part of Journal of the European Mathematical Society (Print), p. 1599-1615, 2012
Hilary Putnam on Meaning and Necessity
2011
Multifractal analysis of non-uniformly hyperbolic systems
Part of Israel Journal of Mathematics, p. 125-144, 2010
- DOI for Multifractal analysis of non-uniformly hyperbolic systems
- Download full text (pdf) of Multifractal analysis of non-uniformly hyperbolic systems
Square Summability of Variations and Convergence of the Transfer Operator
Part of Ergodic Theory and Dynamical Systems, p. 1145-1151, 2008
Countable state shifts and uniqueness of g-measures
Part of American Journal of Mathematics, p. 1501-1511, 2007
Approximation of invariant measures for random iterations
Part of Rocky Mountain Journal of Mathematics, p. 273-301, 2006
Algorithms for approximation of invariant measures for IFS
Part of Manuscripta mathematica, p. 31-55, 2005
Om matematiska begrepp: en filosofisk undersökning med tillämpningar
Part of Filosofisk Tidskrift, p. 11-17, 2005
Square summability of variations of g-functions and uniqueness of g-measures
Part of Mathematical Research Letters, p. 587-601, 2003
On Carleman and Knopp's inequalities
Part of Journal of Approximation Theory, p. 140-151, 2002
Level sets of harmonic functions on the Sierpinski gasket
Part of Arkiv för matematik, p. 335-362, 2002
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Properties of the energy Laplacian on Sierpinski gasket type fractals
Recent publications
The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
Part of Rocky Mountain Journal of Mathematics, p. 945-961, 2019
A piecewise contractive dynamical system and Phragmèn's election method
Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Part of Ergodic Theory and Dynamical Systems, p. 1317-1330, 2019
Ergodic Theory of Kusuoka Measures
Part of Journal of Fractal Geometry, p. 185-214, 2017
- DOI for Ergodic Theory of Kusuoka Measures
- Download full text (pdf) of Ergodic Theory of Kusuoka Measures
Part of Journal of the European Mathematical Society (Print), p. 1599-1615, 2012
All publications
Articles in journal
The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
Part of Rocky Mountain Journal of Mathematics, p. 945-961, 2019
A piecewise contractive dynamical system and Phragmèn's election method
Part of Bulletin de la Société Mathématique de France, p. 395-441, 2019
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Part of Ergodic Theory and Dynamical Systems, p. 1317-1330, 2019
Ergodic Theory of Kusuoka Measures
Part of Journal of Fractal Geometry, p. 185-214, 2017
- DOI for Ergodic Theory of Kusuoka Measures
- Download full text (pdf) of Ergodic Theory of Kusuoka Measures
Part of Journal of the European Mathematical Society (Print), p. 1599-1615, 2012
Multifractal analysis of non-uniformly hyperbolic systems
Part of Israel Journal of Mathematics, p. 125-144, 2010
- DOI for Multifractal analysis of non-uniformly hyperbolic systems
- Download full text (pdf) of Multifractal analysis of non-uniformly hyperbolic systems
Square Summability of Variations and Convergence of the Transfer Operator
Part of Ergodic Theory and Dynamical Systems, p. 1145-1151, 2008
Countable state shifts and uniqueness of g-measures
Part of American Journal of Mathematics, p. 1501-1511, 2007
Approximation of invariant measures for random iterations
Part of Rocky Mountain Journal of Mathematics, p. 273-301, 2006
Algorithms for approximation of invariant measures for IFS
Part of Manuscripta mathematica, p. 31-55, 2005
Om matematiska begrepp: en filosofisk undersökning med tillämpningar
Part of Filosofisk Tidskrift, p. 11-17, 2005
Square summability of variations of g-functions and uniqueness of g-measures
Part of Mathematical Research Letters, p. 587-601, 2003
On Carleman and Knopp's inequalities
Part of Journal of Approximation Theory, p. 140-151, 2002
Level sets of harmonic functions on the Sierpinski gasket
Part of Arkiv för matematik, p. 335-362, 2002