Neil Dobbs' preprints/publications
and his 2015
Curriculum Vitae.
PhD thesis: Critical points, cusps and induced expansion in dimension one
Supervisor: Jacek Graczyk.
Family tree.
Defended on 11th December 2006, Orsay.
I work in the School of Mathematics and Statistics at UCD. Come visit!
My research career has been supported by the French government, the Marie Curie network CODY, the Wallenberg Foundation, the Gustafsson Foundation, an IBM Herman Goldstine Fellowship, the Academy of Finland and the ERC.
I organise the UCD Junior Maths Enrichment activities.
Versions of the first n of the following are on my Arxiv page. My googlescholar page may also be of interest. The arxiv/preprint versions are provided for convenience and may differ from the published versions; read at your own risk.

Knobby but nice.
Ergodic Theory Dynam. Systems Link.
 On the timescale at which statistical stability breaks down. (joint with Alexey Korepanov).
To appear, Ann. IHP Analyse Nonlinéaire.
 Diabolical Entropy. (joint with Nicolae Mihalache).
Comm. Math. Phys. (2019), doi 10.1007/s0022001903293y
 Free energy and equilibrium states for families of interval maps (joint with Mike Todd and previously known as 'Free energy jumps up').
To appear, Memoirs of the AMS.
 Quasistatic dynamical systems. (joint with Mikko Stenlund)
Ergodic Theory Dynam. Systems 37 (2017), no. 8, 2556–2596.
 Line, spiral, dense.
L'Enseignement Mathematique. Vol 62, Issue 1/2, 2016, pp. 91107. doi 10.4171/LEM/621/26
 Pesin theory and equilibrium measures on the interval.
Fund. Math. 231 (2015), no. 1, 117.
 Perturbing Misiurewicz parameters in the exponential family.
Comm. Math. Phys. 335 (2015), no. 2, 571608
 On cusps and flat tops.
Ann. Inst. Fourier 64(2) (2014), 571605. A version
 Latticefree sets, multibranch split disjunctions, and mixedinteger programming(joint with Sanjeeb Dash, Oktay Gunluk, Tomasz Nowicki and Grzegorz Swirszcz).
Math. Program. 145 (2014) no.12 Ser. A.
 Outer billiard around a curvilinear triangle with a fixed diameter (joint with Grzegorz Swirszcz and Tomasz Nowicki).
Publ. Mat. 58 (2014), suppl., 179194.
 Aprproximation algorithms for the joint replenishment problem with deadlines. (Joint with Marcin Bienkowski, Jaroslaw Byrka, Marek Chrobak, Tomasz Nowicki, Maxim Sviridenko, Grzegorz Swirszcz, Neal Young!).
Automata, Languages, and programming. Part I, 135147, Lect Notes in Comp Sci, 7965, 2013.
 Measures with positive Lyapunov exponent and conformal measures in rational dynamics.
Trans. AMS. 364 (2012), 28032824
 Nice sets and invariant densities in complex dynamics.
Math. Proc. Camb. Phil. Soc. 150, No. 1, 157165 (2011)
 Renormalisationinduced phase transitions for unimodal maps.
Commun. Math. Phys. 286, 377387 (2009)
 Nonexistence of absolutely continuous invariant probabilities for exponential maps (Joint with Bartlomiej Skorulski).
Fundamenta Mathematicae, 198(3):283287, 2008
 Visible Measures of Maximal Entropy in Dimension One.
Bull. London Math. Soc. 2007 39: 366376.
 Expanding Cocyles for Interval Maps.
C. R. Math. Acad. Sci. Paris 345 (2007), no. 1, 3944.
 Hyperbolic Dimension for Interval Maps.
Nonlinearity, Volume 19, Issue 12, 2006.