Ph.D., Adjunct Professor of Mathematics
I work at the Center of Excellence in Analysis and Dynamics Research, focusing on dynamical systems, probability and mathematical physics.
Previously, I was involved in the ERC project Mathematical Physics of Out-of-Equilibrium Systems (MPOES), and also worked at the University of Rome "Tor Vergata" in Italy: Macroscopic Laws and Dynamical Systems (MALADY).
Before that, I spent several years at Courant Institute
and at Rutgers University in the United States of America.
I am an Adjunct Professor of Mathematics at the University of Helsinki and at the University of Jyväskylä.
For their notable support, I thank Emil Aaltosen Säätiö, the Jane and Aatos Erkko Foundation, the Academy of Finland, the Finnish Academy of Science and Letters, and the Finnish Cultural Foundation.
I serve as an Editor in Mathematical Physics, Analysis and Geometry, being responsible for dynamical systems manuscripts.
(Manuscripts, which can be pure mathematics but of interest to mathematical physics, should be submitted through the website above.)
(See also my author pages on the arXiv
and on Google Scholar
An almost sure ergodic theorem for quasistatic dynamical systems.
Quasistatic dynamical systems. (With Neil Dobbs) [arXiv]
A coupling approach to random circle maps expanding on the average. Stochastics and
Dynamics 14, No. 4 (2014) 1450008 (29 pages). (With Henri Sulku) [arXiv][Article]
A vector-valued almost sure invariance principle for Sinai billiards with random scatterers. Commun. Math. Phys. 325, 879-916 (2014). [arXiv][Article]
(See also my talk at Courant in May 2012. [Slides])
Dispersing Billiards with Moving Scatterers. Commun. Math. Phys. 322, 909-955 (2013). (With Lai-Sang Young and Hongkun Zhang) [arXiv][Article]
A local limit theorem for random walks in balanced environments. Electronic Communications in Probability 18 (2013), no. 19, 1-13. [arXiv][Article]
Positive Lyapunov exponent by a random perturbation, Dynamical Systems: An International Journal, 27, Issue 2, 2012, 239-252. (With Zeng Lian) [arXiv][Article]
A Dilution Test for the Convergence of Subseries of a Monotone Series, Journal of Classical Analysis 1, Number 1 (2012), 17-22. (With Lasse Leskelä) [arXiv][Article]
A local limit theorem for a transient chaotic walk in a frozen environment, Stochastic Processes and their Applications 121 (2011) 2818-2838. (With Lasse Leskelä) [arXiv][Article]
Non-Stationary Compositions of Anosov Diffeomorphisms, Nonlinearity 24 (2011) 2991-3018. [arXiv][Article]
Multi-Gaussian Modes of Diffusion in a Quenched Random Medium, Phys. Rev. E 82, 041125 (2010) [6 pages]. (With Tapio Simula) [arXiv][Article]
An Expansion of the Homoclinic Splitting Matrix for
the Rapidly, Quasiperiodically, Forced Pendulum. J. Math. Phys. 51, 072902 (2010). [arXiv][Article]
A Strong Pair Correlation Bound implies the CLT for Sinai Billiards. Journal of Statistical Physics 140 (2010), no. 1, 154-169. [arXiv][Article]
From Limit Cycles to Strange Attractors, Commun. Math. Phys. 296, 215-249 (2010). (With William Ott) (With William Ott) [arXiv][Article]
Deterministic Walks in Quenched Random Environments of Chaotic Maps. J. Phys. A: Math. Theor. 42 (2009) 245101 (14 pp). (With Tapio Simula) [arXiv][Article]
Memory Loss for Time-Dependent Dynamical Systems. Math. Res. Lett. 16 (2009), no. 3, 463-475 (With William Ott and Lai-Sang Young) [arXiv][Article]
Quenched CLT for Random Toral Automorphism.
Discrete and Continuous Dynamical Systems A. 24 (2009), no. 2, 331-348. (With Arvind Ayyer and
Carlangelo Liverani) [arXiv][Article]
Exponential Decay of Correlations for Randomly Chosen
Hyperbolic Toral Automorphisms. Chaos 17 (2007), no. 4, 043116 (7 pp). (With Arvind
Construction of Whiskers for the Quasiperiodically Forced
Pendulum. Rev. Math. Phys. 19 (2007), no. 8, 823-877. [arXiv][Article]
Homoclinic Splitting without Trees, Ph.D. thesis, University of Helsinki, May 2006. [http://urn.fi/URN:ISBN:952-10-3128-X]
A Characterization of the Parabola. Math. Gaz. 89 (Nov
2005), no. 516, 507-511.
On the Tangent Lines of a Parabola. College Math. J. 32
(2001), no. 3, 194-196.
Former students and postdocs:
Please contact me if you are interested in thesis work at any level, in the field of dynamical systems! I will be happy to advise students also at the University of Jyväskylä.
Otathan yhteyttä, jos olet kiinnostunut opinnäytteen laatimisesta dynaamisiin systeemeihin liittyen! Ohjaan mielelläni opiskelijoita myös Jyväskylän yliopistossa.
Measure and Integral. University of Helsinki, Summer 2015.
Ergodic Theory. University of Helsinki, Spring 2015.
Differential Equations I. University of Helsinki, Summer 2014.
Algebra & Calculus. NYU, Fall 2008.