Anders Öberg
Universitetslektor vid Matematiska institutionen; Akademisk personal
- Telefon:
- 018-471 31 96
- E-post:
- Anders.Oberg@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Ladda ned kontaktuppgifter för Anders Öberg vid Matematiska institutionen; Akademisk personal
Gästforskare vid Filosofiska institutionen; Teoretisk filosofi; Övrigt verksamma
- Besöksadress:
- Engelska parken, Thunbergsvägen 3 H
- Postadress:
- Box 627
751 26 UPPSALA
Universitetslektor vid Matematiska institutionen; Dynamiska system och talteori
- Telefon:
- 018-471 31 96
- E-post:
- anders.oberg@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
- Akademiska meriter:
- FD, Docent
Kort 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
Biografi
MA in Philosophy (and Mathematics), Umeå University, January 1994
PhD in Mathematics, Umeå University, June 1998
Docent in Mathematics, Uppsala University, September 2005
PhD in Theoretical Philosophy, Uppsala University, January 2012
Publikationer
Urval av publikationer
Continuous eigenfunctions of the transfer operator for Dyson models
Ingår i Mathematische Zeitschrift, 2025
- DOI för Continuous eigenfunctions of the transfer operator for Dyson models
- Ladda ner fulltext (pdf) av Continuous eigenfunctions of the transfer operator for Dyson models
Uniqueness and mixing properties of Doeblin measures
Ingår i Probability theory and related fields, 2025
- DOI för Uniqueness and mixing properties of Doeblin measures
- Ladda ner fulltext (pdf) av Uniqueness and mixing properties of Doeblin measures
A piecewise contractive dynamical system and Phragmèn's election method
Ingår i Bulletin de la Société Mathématique de France, s. 395-441, 2019
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Ingår i Ergodic Theory and Dynamical Systems, s. 1317-1330, 2019
Ergodic Theory of Kusuoka Measures
Ingår i Journal of Fractal Geometry, s. 185-214, 2017
- DOI för Ergodic Theory of Kusuoka Measures
- Ladda ner fulltext (pdf) av Ergodic Theory of Kusuoka Measures
Ingår i Journal of the European Mathematical Society (Print), s. 1599-1615, 2012
Hilary Putnam on Meaning and Necessity
2011
Multifractal analysis of non-uniformly hyperbolic systems
Ingår i Israel Journal of Mathematics, s. 125-144, 2010
- DOI för Multifractal analysis of non-uniformly hyperbolic systems
- Ladda ner fulltext (pdf) av Multifractal analysis of non-uniformly hyperbolic systems
Square Summability of Variations and Convergence of the Transfer Operator
Ingår i Ergodic Theory and Dynamical Systems, s. 1145-1151, 2008
Countable state shifts and uniqueness of g-measures
Ingår i American Journal of Mathematics, s. 1501-1511, 2007
Approximation of invariant measures for random iterations
Ingår i Rocky Mountain Journal of Mathematics, s. 273-301, 2006
Algorithms for approximation of invariant measures for IFS
Ingår i Manuscripta mathematica, s. 31-55, 2005
Om matematiska begrepp: en filosofisk undersökning med tillämpningar
Ingår i Filosofisk Tidskrift, s. 11-17, 2005
Square summability of variations of g-functions and uniqueness of g-measures
Ingår i Mathematical Research Letters, s. 587-601, 2003
Level sets of harmonic functions on the Sierpinski gasket
Ingår i Arkiv för matematik, s. 335-362, 2002
On Carleman and Knopp's inequalities
Ingår i Journal of Approximation Theory, s. 140-151, 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
Senaste publikationer
Continuous eigenfunctions of the transfer operator for Dyson models
Ingår i Mathematische Zeitschrift, 2025
- DOI för Continuous eigenfunctions of the transfer operator for Dyson models
- Ladda ner fulltext (pdf) av Continuous eigenfunctions of the transfer operator for Dyson models
Uniqueness and mixing properties of Doeblin measures
Ingår i Probability theory and related fields, 2025
- DOI för Uniqueness and mixing properties of Doeblin measures
- Ladda ner fulltext (pdf) av Uniqueness and mixing properties of Doeblin measures
The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
Ingår i Rocky Mountain Journal of Mathematics, s. 945-961, 2019
A piecewise contractive dynamical system and Phragmèn's election method
Ingår i Bulletin de la Société Mathématique de France, s. 395-441, 2019
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Ingår i Ergodic Theory and Dynamical Systems, s. 1317-1330, 2019
Alla publikationer
Artiklar i tidskrift
Continuous eigenfunctions of the transfer operator for Dyson models
Ingår i Mathematische Zeitschrift, 2025
- DOI för Continuous eigenfunctions of the transfer operator for Dyson models
- Ladda ner fulltext (pdf) av Continuous eigenfunctions of the transfer operator for Dyson models
Uniqueness and mixing properties of Doeblin measures
Ingår i Probability theory and related fields, 2025
- DOI för Uniqueness and mixing properties of Doeblin measures
- Ladda ner fulltext (pdf) av Uniqueness and mixing properties of Doeblin measures
The Kusuoka measure and the energy Laplacian on level-k Sierpinski gaskets
Ingår i Rocky Mountain Journal of Mathematics, s. 945-961, 2019
A piecewise contractive dynamical system and Phragmèn's election method
Ingår i Bulletin de la Société Mathématique de France, s. 395-441, 2019
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Ingår i Ergodic Theory and Dynamical Systems, s. 1317-1330, 2019
Ergodic Theory of Kusuoka Measures
Ingår i Journal of Fractal Geometry, s. 185-214, 2017
- DOI för Ergodic Theory of Kusuoka Measures
- Ladda ner fulltext (pdf) av Ergodic Theory of Kusuoka Measures
Ingår i Journal of the European Mathematical Society (Print), s. 1599-1615, 2012
Multifractal analysis of non-uniformly hyperbolic systems
Ingår i Israel Journal of Mathematics, s. 125-144, 2010
- DOI för Multifractal analysis of non-uniformly hyperbolic systems
- Ladda ner fulltext (pdf) av Multifractal analysis of non-uniformly hyperbolic systems
Square Summability of Variations and Convergence of the Transfer Operator
Ingår i Ergodic Theory and Dynamical Systems, s. 1145-1151, 2008
Countable state shifts and uniqueness of g-measures
Ingår i American Journal of Mathematics, s. 1501-1511, 2007
Approximation of invariant measures for random iterations
Ingår i Rocky Mountain Journal of Mathematics, s. 273-301, 2006
Algorithms for approximation of invariant measures for IFS
Ingår i Manuscripta mathematica, s. 31-55, 2005
Om matematiska begrepp: en filosofisk undersökning med tillämpningar
Ingår i Filosofisk Tidskrift, s. 11-17, 2005
Square summability of variations of g-functions and uniqueness of g-measures
Ingår i Mathematical Research Letters, s. 587-601, 2003
Level sets of harmonic functions on the Sierpinski gasket
Ingår i Arkiv för matematik, s. 335-362, 2002
On Carleman and Knopp's inequalities
Ingår i Journal of Approximation Theory, s. 140-151, 2002