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
How Many Inflections are There in the Lyapunov Spectrum?Jenkinson O, Pollicott M and Vytnova P
Communications in Mathematical Physics, Springer Nature vol. 386 (3), 1383-1411.
26-07-2021
2020
Rigorous dimension estimates for Cantor sets arising in Zaremba theoryJenkinson O and Pollicott M
Contemporary Mathematics, American Mathematical Society (Ams) vol. 744, 83-107.
01-01-2020
2018
ERGODIC OPTIMIZATION IN DYNAMICAL SYSTEMSJENKINSON OM
Ergodic Theory and Dynamical Systems, Cambridge University Press (Cup)
24-01-2018
2017
RIGOROUS EFFECTIVE BOUNDS ON THE HAUSDORFF DIMENSION OF CONTINUED FRACTION CANTOR SETS: A HUNDRED DECIMAL DIGITS FOR THE DIMENSION OF E2JENKINSON OM and POLLICOTT M
Advances in Mathematics, Elsevier/Science Direct vol. 325 (5), 87-115.
05-12-2017
Rigorous computation of diffusion coefficients for expanding mapsJENKINSON OM, Pollicott M and VYTNOVA P
Journal of Statistical Physics
30-11-2017
Joint spectral radius, Sturmian measures, and the finiteness conjectureJENKINSON OM and Pollicott M
Ergodic Theory and Dynamical Systems, Cambridge University Press
02-05-2017
2014
Chapter 2 Eigenvalues of Transfer Operators for Dynamical Systems with HolesBandtlow OF and Jenkinson O
31-39.
01-01-2014
Chapter 3 Periodic Points, Escape Rates and Escape MeasuresBandtlow OF, Jenkinson O and Pollicott M
41-58.
01-01-2014
2012
The flat spot standard family: variation of the entrance time medianAnagnostopoulou V, Diaz-Ordaz K, Jenkinson O and Richards C
Dynamical Systems, Taylor & Francis vol. 27 (1), 29-43. Editors: Ashwin P.
01-01-2012
Sturmian maximizing measures for the piecewise-linear cosine familyAnagnostopoulou V, Diaz-Ordaz K, Jenkinson O and Richard C
Bulletin of The Brazilian Mathematical Society vol. 43 (2), 285-302.
01-01-2012
2010
Majorization of invariant measures for orientation-reversing mapsJenkinson O and Steel J
Ergod Theor Dyn Syst, Cambridge Journals Online vol. 30 (5), 1471-1483.
01-10-2010
Entrance time functions for flat spot mapsAnagnostopoulou V, Diaz-Ordaz K, Jenkinson O and Richard C
Nonlinearity, Iop Publishing vol. 23 (6), 1477-1494.
01-06-2010
2009
Which beta-shifts have a largest invariant measure?Anagnostopoulou V and Jenkinson O
J Lond Math Soc, Oxford Journals vol. 79 (2), 445-464.
01-04-2009
Balanced words and majorizationJENKINSON OM
Discrete Mathematics, Algorithms and Applications, World Scientific vol. 1 (4), 463-483.
01-01-2009
2008
On the Ruelle eigenvalue sequenceBandtlow OF and Jenkinson O
Ergod Theor Dyn Syst, Cambridge Journals Online vol. 28 (6), 1701-1711.
01-12-2008
Lyapunov optimizing measures for C-1 expanding maps of the circleJenkinson O and Morris ID
Ergod Theor Dyn Syst, Cambridge Journals vol. 28 (6), 1849-1860.
01-12-2008
A Partial Order on x2-Invariant MeasuresJenkinson O
Mathematical Research Letters, International Press vol. 15 (5), 893-900.
01-09-2008
Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functionsBandtlow OE and Jenkinson O
Adv Math, Elsevier/Science Direct vol. 218 (3), 902-925.
20-06-2008
On sums of powers of inverse complete quotientsJenkinson O
Proceedings of The American Mathematical Society, American Mathematical Society vol. 136 (3), 1023-1027.
01-01-2008
2007
Explicit a priori bounds on transfer operator eigenvaluesBandtlow OF and Jenkinson O
Commun Math Phys vol. 276 (3), 901-905.
01-12-2007
Flattening functions on flowersHarriss E and Jenkinson O
Ergodic Theory and Dynamical Systems, Cambridge Journals vol. 27 (6), 1865-1886.
01-12-2007
Invariant measures for real analytic expanding mapsBandtlow OF and Jenkinson O
J Lond Math Soc vol. 75, 343-368.
01-04-2007
A dynamical approach to accelerating numerical integration with equidistributed pointsJENKINSON OM and Pollicott M
Proceedings of The Steklov Institute of Mathematics, Springer vol. 256 (1), 275-289.
01-01-2007
Ergodic Optimization for Noncompact Dynamical SystemsJenkinson O, Mauldin RD and Urbanski M
Differential Equations and Dynamical Systems: An International Journal For Theory and Applications, Taylor & Francis vol. 22 (3), 379-388.
01-01-2007
Optimization and majorization of invariant measuresJenkinson O
Electron Res Announc vol. 13, 1-12.
01-01-2007
2006
Ergodic optimization for countable alphabet subshifts of finite typeJenkinson O, Mauldin RD and Urbanski M
Ergod Theor Dyn Syst, Cambridge Journals Online vol. 26 (6), 1791-1803.
01-12-2006
Every ergodic measure is uniquely maximizingJenkinson O
Discrete Cont Dyn S vol. 16 (2), 383-392.
01-10-2006
Ergodic optimizationJenkinson O
Discrete and Continuous Dynamical Systems vol. 15 (1), 197-224.
01-05-2006
2005
Maximum hitting frequency and fastest mean return timeJenkinson O
Nonlinearity vol. 18 (5), 2305-2321.
01-09-2005
Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite typeJenkinson O, Mauldin RD and Urbanski M
J Stat Phys vol. 119 (3-4), 765-776.
01-05-2005
Orthonormal expansions of invariant densities for expanding mapsJenkinson O and Pollicott M
Adv Math vol. 192 (1), 1-34.
20-03-2005
2004
Entropy, exponents and invariant densities for hyperbolic systems:JENKINSON OM
In "Modern Dynamical Systems and Applications", C.U.P. 365-384.
01-01-2004
Characterisations of balanced words via orderingsJenkinson O and Zamboni LQ
Theor Comput Sci vol. 310 (1-3), 247-271.
01-01-2004
On the density of Hausdorff dimensions of bounded type continued fraction sets: the Texan conjecture.JENKINSON OM
Stochastics and Dynamics vol. 4 (1), 63-76.
01-01-2004
2003
On transfer operators for continued fractions with restricted digitsJenkinson O, Gonzalez LF and Urbanski M
P Lond Math Soc vol. 86, 755-778.
01-05-2003
2002
Calculating Hausdorff dimension of Julia sets and Kleinian limit setsJenkinson O and Pollicott M
Am J Math vol. 124 (3), 495-545.
01-06-2002
Smooth cocycle rigidity for expanding maps, and an application to Mostow rigidityJenkinson O
Math Proc Cambridge vol. 132, 439-452.
01-05-2002
Cohomology classes of dynamically non-negative C-k functionsBousch T and Jenkinson O
Invent Math vol. 148 (1), 207-217.
01-04-2002
2001
Computing the dimension of dynamically defined sets: E-2 and bounded continued fractionsJenkinson O and Pollicott M
Ergod Theor Dyn Syst vol. 21, 1429-1445.
01-10-2001
Strong cocycle trivality for Z^2 subshiftsJENKINSON OM
Theor. Comp. Sci. vol. 262 (1-2), 191-213.
01-07-2001
Directional entropy of rotation setsJenkinson O
Cr Acad Sci I-Math vol. 332 (10), 921-926.
15-05-2001
Geometric barycentres of invariant measures for circle mapsJenkinson O
Ergod Theor Dyn Syst vol. 21, 511-532.
01-04-2001
Rotation, entropy, and equilibrium statesJenkinson O
T Am Math Soc vol. 353 (9), 3713-3739.
01-01-2001