Anders Karlsson
Professor vid Matematiska institutionen; Akademisk personal
- Telefon:
- 018-471 32 26
- E-post:
- anders.karlsson@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Ladda ned kontaktuppgifter för Anders Karlsson vid Matematiska institutionen; Akademisk personal
Professor vid Matematiska institutionen; Dynamiska system och talteori
- Telefon:
- 018-471 32 26
- E-post:
- anders.karlsson@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postadress:
- Box 480
751 06 UPPSALA
Kort presentation
Mina forskningsintressen ligger inom ergodteori, metrisk geometri, värmekärnor, spektral grafteori, analytisk talteori, gruppteori och deras tillämpningar på andra grenar av matematik och vetenskap, såsom komplex analys, matematisk fysik och djupinlärning.
Media
Noncommuting random products
Thematic Program on Boundaries and Dynamics, University of Notre Dame, USA, 2015
https://www.youtube.com/watch?v=ymc82pSGMvY
Stars at infinity and other metric ideas relevant for complex analysis
Workshop INDAM 2021 "Gromov hyperbolicity and negative curvature in complex analysis", Cortona, Italy
https://www.youtube.com/watch?v=tzV3Sl5d6_k
Metric Functional Analysis
Seminar on Complex Analysis and allied topics, Rome-Milano-Bologna, 2021
https://www.youtube.com/watch?v=5AK304D6nEE
New subadditive and multiplicative ergodic theorems
Ergodic Theory, Fractals, and Groups, Israel Institute for Advanced Studies, 2015
https://www.youtube.com/watch?v=7jGbyVuvjWc
Geometry of deep learning and explainable ML
Workshop at SLMath (MSRI) program Algorithms, Fairness and Equity, Berkeley, 2023
https://player.vimeo.com/video/859592421
En fixpunkt sats för isometrier
Konferens vid ESI, Wien 2023, "Geometry beyond Riemann: Curvature and Rigidity"
Publikationer
Urval av publikationer
A Metric Fixed Point Theorem and Some of Its Applications
Ingår i Geometric and Functional Analysis, s. 486-511, 2024
- DOI för A Metric Fixed Point Theorem and Some of Its Applications
- Ladda ner fulltext (pdf) av A Metric Fixed Point Theorem and Some of Its Applications
Deep Limits and a Cut-Off Phenomenon for Neural Networks
Ingår i Journal of machine learning research, 2022
From linear to metric functional analysis
Ingår i Proceedings of the National Academy of Sciences of the United States of America, 2021
Subadditive and multiplicative ergodic theorems
Ingår i Journal of the European Mathematical Society (Print), s. 1893-1915, 2020
Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip
Ingår i Tohoku mathematical journal, s. 585-610, 2017
Senaste publikationer
The discrete analogue of the Gaussian
Ingår i Journal of Physics A, 2025
- DOI för The discrete analogue of the Gaussian
- Ladda ner fulltext (pdf) av The discrete analogue of the Gaussian
The Parametrix Construction of the Heat Kernel on a Graph
Ingår i Complex Analysis and Operator Theory, 2024
Complex Variables Functions: The stars at infinity in several complex variables
Ingår i Rendiconti Lincei - Matematica e Applicazioni, s. 49-75, 2024
- DOI för Complex Variables Functions: The stars at infinity in several complex variables
- Ladda ner fulltext (pdf) av Complex Variables Functions: The stars at infinity in several complex variables
The resolvent kernel on the discrete circle and twisted cosecant sums
Ingår i Journal of Mathematical Analysis and Applications, 2024
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Ingår i Advances in Mathematics, 2024
- DOI för Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
- Ladda ner fulltext (pdf) av Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Alla publikationer
Artiklar i tidskrift
The discrete analogue of the Gaussian
Ingår i Journal of Physics A, 2025
- DOI för The discrete analogue of the Gaussian
- Ladda ner fulltext (pdf) av The discrete analogue of the Gaussian
The Parametrix Construction of the Heat Kernel on a Graph
Ingår i Complex Analysis and Operator Theory, 2024
Complex Variables Functions: The stars at infinity in several complex variables
Ingår i Rendiconti Lincei - Matematica e Applicazioni, s. 49-75, 2024
- DOI för Complex Variables Functions: The stars at infinity in several complex variables
- Ladda ner fulltext (pdf) av Complex Variables Functions: The stars at infinity in several complex variables
The resolvent kernel on the discrete circle and twisted cosecant sums
Ingår i Journal of Mathematical Analysis and Applications, 2024
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Ingår i Advances in Mathematics, 2024
- DOI för Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
- Ladda ner fulltext (pdf) av Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
A Metric Fixed Point Theorem and Some of Its Applications
Ingår i Geometric and Functional Analysis, s. 486-511, 2024
- DOI för A Metric Fixed Point Theorem and Some of Its Applications
- Ladda ner fulltext (pdf) av A Metric Fixed Point Theorem and Some of Its Applications
Volumes of spheres and special values of zeta functions of Z and Z/nZ
Ingår i Acta Arithmetica, s. 161-170, 2023
Deep Limits and a Cut-Off Phenomenon for Neural Networks
Ingår i Journal of machine learning research, 2022
From linear to metric functional analysis
Ingår i Proceedings of the National Academy of Sciences of the United States of America, 2021
Comments on the cosmic convergence of nonexpansive maps
Ingår i Journal of Fixed Point Theory and Applications, 2021
- DOI för Comments on the cosmic convergence of nonexpansive maps
- Ladda ner fulltext (pdf) av Comments on the cosmic convergence of nonexpansive maps
Hahn-Banach for metric functionals and horofunctions
Ingår i Journal of Functional Analysis, 2021
- DOI för Hahn-Banach for metric functionals and horofunctions
- Ladda ner fulltext (pdf) av Hahn-Banach for metric functionals and horofunctions
A natural graph of finite fields distinguishing between models
Ingår i Finite Fields and Their Applications, 2021
- DOI för A natural graph of finite fields distinguishing between models
- Ladda ner fulltext (pdf) av A natural graph of finite fields distinguishing between models
Subadditive and multiplicative ergodic theorems
Ingår i Journal of the European Mathematical Society (Print), s. 1893-1915, 2020
Spectral Zeta Functions Of Graphs And The Riemann Zeta Function In The Critical Strip
Ingår i Tohoku mathematical journal, s. 585-610, 2017
Kapitel i böcker, delar av antologi
Elements of a metric spectral theory
Ingår i Dynamics, Geometry and Number Theory, s. 276-300, University of Chicago Press, 2022
Ingår i Discrete and Continuous Models in the Theory of Networks, s. 199-211, Birkhäuser, 2020
Konferensbidrag
Generalized Lyapunov exponents and aspects of the theory of deep learning
Ingår i New Trends in Lyapunov Exponents, s. 99-118, 2023
- DOI för Generalized Lyapunov exponents and aspects of the theory of deep learning
- Ladda ner fulltext (pdf) av Generalized Lyapunov exponents and aspects of the theory of deep learning
A Proof of the Subadditive Ergodic Theorem
Ingår i Groups, Graphs and Random Walks, s. 343-354, 2017