Prof Oliver Jenkinson
Professor of Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Ergodic theory, Dynamical systems
Interests
Ergodic theory and dynamical systemsPublications
Publications of specific relevance to the Centre for Complex Systems2021
Jenkinson O, Pollicott M and Vytnova P (2021). How Many Inflections are There in the Lyapunov Spectrum? Communications in Mathematical Physics, Springer Nature vol. 386 (3), 1383-1411. 26-07-2021
2020
Jenkinson O and Pollicott M (2020). Rigorous dimension estimates for Cantor sets arising in Zaremba theory. Contemporary Mathematics, American Mathematical Society (AMS) vol. 744, 83-107. 01-01-2020
2018
JENKINSON OM (2018). ERGODIC OPTIMIZATION IN DYNAMICAL SYSTEMS. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP) 24-01-2018
2017
JENKINSON OM and POLLICOTT M (2017). RIGOROUS EFFECTIVE BOUNDS ON THE HAUSDORFF DIMENSION OF CONTINUED FRACTION CANTOR SETS: A HUNDRED DECIMAL DIGITS FOR THE DIMENSION OF E2. Advances in Mathematics, Elsevier/Science Direct vol. 325 (5), 87-115. 05-12-2017
JENKINSON OM, Pollicott M and VYTNOVA P (2017). Rigorous computation of diffusion coefficients for expanding maps. Journal of Statistical Physics 30-11-2017
JENKINSON OM and Pollicott M (2017). Joint spectral radius, Sturmian measures, and the finiteness conjecture. Ergodic Theory and Dynamical Systems, Cambridge University Press 02-05-2017
2014
Bandtlow OF and Jenkinson O (2014). Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with Holes. 31-39. 01-01-2014
Bandtlow OF, Jenkinson O and Pollicott M (2014). Chapter 3 Periodic Points, Escape Rates and Escape Measures. 41-58. 01-01-2014
2012
Anagnostopoulou V, Diaz-Ordaz K, Jenkinson O and Richards C (2012). The flat spot standard family: variation of the entrance time median., Editors: Ashwin P. Dynamical Systems, Taylor & Francis vol. 27 (1), 29-43. 01-01-2012
Anagnostopoulou V, Diaz-Ordaz K, Jenkinson O and Richard C (2012). Sturmian maximizing measures for the piecewise-linear cosine family. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY vol. 43 (2), 285-302. 01-01-2012
2010
Jenkinson O and Steel J (2010). Majorization of invariant measures for orientation-reversing maps. ERGOD THEOR DYN SYST, Cambridge Journals Online vol. 30 (5), 1471-1483. 01-10-2010
Anagnostopoulou V, Diaz-Ordaz K, Jenkinson O and Richard C (2010). Entrance time functions for flat spot maps. NONLINEARITY, IOP PUblishing vol. 23 (6), 1477-1494. 01-06-2010
2009
Anagnostopoulou V and Jenkinson O (2009). Which beta-shifts have a largest invariant measure? J LOND MATH SOC, Oxford Journals vol. 79 (2), 445-464. 01-04-2009
JENKINSON OM (2009). Balanced words and majorization. Discrete Mathematics, Algorithms and Applications, World Scientific vol. 1 (4), 463-483. 01-01-2009
2008
Bandtlow OF and Jenkinson O (2008). On the Ruelle eigenvalue sequence. ERGOD THEOR DYN SYST, Cambridge Journals online vol. 28 (6), 1701-1711. 01-12-2008
Jenkinson O and Morris ID (2008). Lyapunov optimizing measures for C-1 expanding maps of the circle. ERGOD THEOR DYN SYST, Cambridge Journals vol. 28 (6), 1849-1860. 01-12-2008
Jenkinson O (2008). A Partial Order on x2-Invariant Measures. Mathematical Research Letters, International Press vol. 15 (5), 893-900. 01-09-2008
Bandtlow OE and Jenkinson O (2008). Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions. ADV MATH, Elsevier/Science Direct vol. 218 (3), 902-925. 20-06-2008
Jenkinson O (2008). On sums of powers of inverse complete quotients. Proceedings of the American Mathematical Society, American Mathematical Society vol. 136 (3), 1023-1027. 01-01-2008
2007
Bandtlow OF and Jenkinson O (2007). Explicit a priori bounds on transfer operator eigenvalues. COMMUN MATH PHYS vol. 276 (3), 901-905. 01-12-2007
Harriss E and Jenkinson O (2007). Flattening functions on flowers. Ergodic Theory and Dynamical Systems, Cambridge Journals vol. 27 (6), 1865-1886. 01-12-2007
Bandtlow OF and Jenkinson O (2007). Invariant measures for real analytic expanding maps. J LOND MATH SOC vol. 75, 343-368. 01-04-2007
JENKINSON OM and Pollicott M (2007). A dynamical approach to accelerating numerical integration with equidistributed points. Proceedings of the Steklov Institute of Mathematics, Springer vol. 256 (1), 275-289. 01-01-2007
Jenkinson O, Mauldin RD and Urbanski M (2007). Ergodic Optimization for Noncompact Dynamical Systems. Differential Equations and Dynamical Systems: an international journal for theory and applications, Taylor & Francis vol. 22 (3), 379-388. 01-01-2007
Jenkinson O (2007). Optimization and majorization of invariant measures. ELECTRON RES ANNOUNC vol. 13, 1-12. 01-01-2007
2006
Jenkinson O, Mauldin RD and Urbanski M (2006). Ergodic optimization for countable alphabet subshifts of finite type. ERGOD THEOR DYN SYST, Cambridge Journals Online vol. 26 (6), 1791-1803. 01-12-2006
Jenkinson O (2006). Every ergodic measure is uniquely maximizing. DISCRETE CONT DYN S vol. 16 (2), 383-392. 01-10-2006
Jenkinson O (2006). Ergodic optimization. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS vol. 15 (1), 197-224. 01-05-2006
2005
Jenkinson O (2005). Maximum hitting frequency and fastest mean return time. NONLINEARITY vol. 18 (5), 2305-2321. 01-09-2005
Jenkinson O, Mauldin RD and Urbanski M (2005). Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite type. J STAT PHYS vol. 119 (3-4), 765-776. 01-05-2005
Jenkinson O and Pollicott M (2005). Orthonormal expansions of invariant densities for expanding maps. ADV MATH vol. 192 (1), 1-34. 20-03-2005
2004
JENKINSON OM (2004). Entropy, exponents and invariant densities for hyperbolic systems:. "Modern Dynamical Systems and Applications" 365-384. 01-01-2004
Jenkinson O and Zamboni LQ (2004). Characterisations of balanced words via orderings. THEOR COMPUT SCI vol. 310 (1-3), 247-271. 01-01-2004
JENKINSON OM (2004). On the density of Hausdorff dimensions of bounded type continued fraction sets: the Texan conjecture. Stochastics and Dynamics vol. 4 (1), 63-76. 01-01-2004
2003
Jenkinson O, Gonzalez LF and Urbanski M (2003). On transfer operators for continued fractions with restricted digits. P LOND MATH SOC vol. 86, 755-778. 01-05-2003
2002
Jenkinson O and Pollicott M (2002). Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. AM J MATH vol. 124 (3), 495-545. 01-06-2002
Jenkinson O (2002). Smooth cocycle rigidity for expanding maps, and an application to Mostow rigidity. MATH PROC CAMBRIDGE vol. 132, 439-452. 01-05-2002
Bousch T and Jenkinson O (2002). Cohomology classes of dynamically non-negative C-k functions. INVENT MATH vol. 148 (1), 207-217. 01-04-2002
2001
Jenkinson O and Pollicott M (2001). Computing the dimension of dynamically defined sets: E-2 and bounded continued fractions. ERGOD THEOR DYN SYST vol. 21, 1429-1445. 01-10-2001
JENKINSON OM (2001). Strong cocycle trivality for Z^2 subshifts. Theor. Comp. Sci. vol. 262 (1-2), 191-213. 01-07-2001
Jenkinson O (2001). Directional entropy of rotation sets. CR ACAD SCI I-MATH vol. 332 (10), 921-926. 15-05-2001
Jenkinson O (2001). Geometric barycentres of invariant measures for circle maps. ERGOD THEOR DYN SYST vol. 21, 511-532. 01-04-2001
Jenkinson O (2001). Rotation, entropy, and equilibrium states. T AM MATH SOC vol. 353 (9), 3713-3739. 01-01-2001