Anders Öberg
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; Affiliated
- Visiting address:
- Engelska parken, Thunbergsvägen 3 H
- Postal address:
- Box 627
751 26 UPPSALA
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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 (2019)
- Phase transitions in long-range Ising models and an optimal condition for factors of g-measures (2019)
- Ergodic Theory of Kusuoka Measures (2017)
- Unique Bernoulli g-measures (2012)
- Hilary Putnam on Meaning and Necessity (2011)
- Multifractal analysis of non-uniformly hyperbolic systems (2010)
- Square Summability of Variations and Convergence of the Transfer Operator (2008)
- Countable state shifts and uniqueness of g-measures (2007)
- Approximation of invariant measures for random iterations (2006)
- Om matematiska begrepp (2005)
- Algorithms for approximation of invariant measures for IFS (2005)
- Square summability of variations of g-functions and uniqueness of g-measures (2003)
- On Carleman and Knopp's inequalities (2002)
- Level sets of harmonic functions on the Sierpinski gasket (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
- A piecewise contractive dynamical system and Phragmèn's election method (2019)
- Phase transitions in long-range Ising models and an optimal condition for factors of g-measures (2019)
- The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets (2019)
- Ergodic Theory of Kusuoka Measures (2017)
- Unique Bernoulli g-measures (2012)
All publications
Articles
- A piecewise contractive dynamical system and Phragmèn's election method (2019)
- Phase transitions in long-range Ising models and an optimal condition for factors of g-measures (2019)
- The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets (2019)
- Ergodic Theory of Kusuoka Measures (2017)
- Unique Bernoulli g-measures (2012)
- Multifractal analysis of non-uniformly hyperbolic systems (2010)
- Square Summability of Variations and Convergence of the Transfer Operator (2008)
- Countable state shifts and uniqueness of g-measures (2007)
- Approximation of invariant measures for random iterations (2006)
- Om matematiska begrepp (2005)
- Algorithms for approximation of invariant measures for IFS (2005)
- Square summability of variations of g-functions and uniqueness of g-measures (2003)
- On Carleman and Knopp's inequalities (2002)
- Level sets of harmonic functions on the Sierpinski gasket (2002)
- Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
- The Kusuoka measure and the energy Laplacian on some level-k Sierpiński gaskets
- Properties of the energy Laplacian on Sierpinski gasket type fractals
Books
Reports
