# Publications of Mark Pollicott

"*For twenty-five years he has been reading and writing things that clever men have long known and stupid ones are not interested i*n".

(Uncle Vanya on the Professor, by Chekov).

**Papers published in 2010**

- Topological dynamics of the Weil-Petersson geodesic flow (with H. Weiss and S. Wolpert), Adv. Math. 223 (2010) 1225--1235
- Multifractal analysis of non-uniformly hyperbolic systems (with A. Johansson, T. Jordan and A. Oberg, Anders), Israel Journal of Mathematcs, 177 (2010) 125-144
- Maximal Lyapunov exponents for random matrix products, Inventiones Mathematicae, 181 (2010) 209-226

**Papers published in 2011**

- Statistics of matrix products in hyperbolic geometry (with R. Sharp), 213-230 in Dynamical Numbers: Interplay between Dynamical Systems and Number Theory, Contemporary Mathematics 532, AMS, 2011
- Factors of Gibbs measures for full shifts (with T. Kempton), 246-257, in Entropy of Hidden Markov Processes and Connections to Dynamical Systems, LMSLNM 385, CUP, 2011
- Computing entropy rates for hidden markov processes, 223-245, in Entropy of Hidden Markov Processes and Connections to Dynamical Systems, LMSLNM 385, CUP, 2011
- On the Hannay-Ozorio De Almeida Sum Formula (with R. Sharp), 575-590, in Dynamics, Games and Science II DYNA 2008, Springer, 2011
- Statistics of matrix products in hyperbolic geometry (with R. Sharp), 213-230, Dynamical numbers - interplay between dynamical systems and number theory, Contemp. Math., 532, Amer. Math. Soc., Providence, RI, 2010
- Dynamical Zeta Functions, Proceedings of the Leiden Numeration Conference 2010, Integers, 11B (2011) A11
- Rates of Convergence for Linear Actions of Cocompact Lattices on the Complex Plane, Proceedings of the Leiden Numeration Conference 2010, Integers, 11B (2011) A12

**Papers published in 2012**

- Unique Bernoulli g-measures (with A. Johansson and A. Oberg), Journal of the European Mathematical Society 14 (2012) 1599–1615.
- Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem (with H.Wang and H.Weiss). J. Biol. Dyn. 6 (2012), no. 2, 509–523.
- B. Bárány, M. Pollicott, K. Simon, Stationary measures for projective transformations: the Blackwell and Furstenberg measures. J. Stat. Phys. 148 (2012) 393–421.
- A. Ferguson and M. Pollicott, Escape rates for Gibbs measures. Ergodic Theory Dynam. Systems 32 (2012) 961–988.

**Papers published in 2013**

- L. Magalhães and M. Pollicott, Geometry and dynamics of planar linkages. Comm. Math. Phys. 317 (2013) 615–634.
- M. Pollicott and R. Sharp, Ergodic theorems for actions of hyperbolic groups. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1749–1757.
- M. Pollicott and R. Sharp, Correlations of length spectra for negatively curved manifolds. Comm. Math. Phys. 319 (2013) 515–533.
- P. Giulietti, C. Liverani, M. Pollicott, Anosov flows and dynamical zeta functions. Ann. of Math. (2) 178 (2013) 687–773

**Papers published in 2014**

- M. Pollicott and R. Sharp, Length asymptotics in higher Teichmüller theory. Proc. Amer. Math. Soc. 142 (2014) 101–112.
- M.Pollicott and P. Felton, Estimating Mahler measures using periodic points for the doubling map. Indag. Math. (N.S.) 25 (2014) 619–631.
- M. Pollicott and R. Sharp, A Weil-Petersson type metric on spaces of metric graphs. Geom. Dedicata 172 (2014), 229–244.
- O. Bandtlow, O. Jenkinson and M. Pollicott, Periodic points, escape rates and escape measures, in Ergodic theory, open dynamics, and coherent structures, 41–58, Springer Proc. Math. Stat., 70, Springer, New York, 2014.

**Papers published in 2015**

- F. Paulin, M. Pollicott and B. Schapira, Equilibrium states in negative curvature. Astérisque No. 373 (2015), viii+281 pp. ISBN: 978-2-85629-818-3
- D. Kagiso and M.Pollicott, Computing multifractal spectra. Dyn. Syst. 30 (2015) 404–425.
- J. Fraser and M. Pollicott, Micromeasure distributions and applications for conformally generated fractals. Math. Proc. Cambridge Philos. Soc. 159 (2015) 547–566.
- M. Pollicott, Analyticity of dimensions for hyperbolic surface diffeomorphisms. Proc. Amer. Math. Soc. 143 (2015), 3465–3474.
- M. Pollicott and P. Vytnova, Estimating singularity dimension. Math. Proc. Cambridge Philos. Soc. 158 (2015) 223–238.

**Papers published in 2016**

- M. Pollicott and R. Sharp, Weil-Petersson metrics, Manhattan curves and Hausdorff dimension. Math. Z. 282 (2016) 1007–1016.
- F. Paulin and M. Pollicott, Logarithm laws for equilibrium states in negative curvature. Comm. Math. Phys. 346 (2016), no. 1, 1–34.
- M. Pollicott and P. Vytnova, Linear response and periodic points. Nonlinearity 29 (2016) 3047–3066.

**Papers published in 2017**

- M. Pollicott, A Nonlinear Transfer Operator Theorem. J. Stat. Phys. 166 (2017), no. 3-4, 516–524.
- J. Fraser and M. Pollicott, Uniform scaling limits for ergodic measures. J. Fractal Geom. 4 (2017) 1–19.
- A. Johansson, A. Öberg and M. Pollicott, Ergodic theory of Kusuoka measures. J. Fractal Geom. 4 (2017) 185–214.
- S. Galatolo and M. Pollicott, Controlling the statistical properties of expanding maps. Nonlinearity 30 (2017) 2737–2751.
- M. Pollicott, A note on the shrinking sector problem for surfaces of variable negative curvature. (Russian) Tr. Mat. Inst. Steklova 297 (2017), Poryadok i Khaos v Dinamicheskikh Sistemakh, 281–291.
- M. Pollicott, Amenable covers for surfaces and growth of closed geodesics. Adv. Math. 319 (2017), 599–609.
- M. Pollicott and P. Vytnova, Critical points for the Hausdorff dimension of pairs of pants. Groups Geom. Dyn. 11 (2017), no. 4, 1497–1519.

**Papers published in 2018**

- O.Jenkinson, M. Pollicott, and P.Vytnova,Rigorous Computation of Diffusion Coefficients for Expanding Maps. J. Stat. Phys. 170 (2018), 221–253
- O.Jenkinson and M.Pollicott, Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of E2. Adv. Math. 325 (2018), 87–115.
- Open Conformal Systems and Perturbations of Transfer Operators (with M.Urbanski), Lecture Notes in Mathematics 2206, Springer, Berlin, 2018 (ISBN 978-3-319-72178-1)
- Hyperbolic systems, zeta functions and other fields, Banach Center Publications, 115 (2018) 145-182
- Stationary measures associated to analytic iterated function schemes, (with I. Cipriano) Math. Nachr. 291 (2018), no. 7, 1049–1054
- Hyperbolic systems, zeta functions and other friends.
*Dynamical systems,*145–182, Banach Centre Publications, volume 115,*Polish Acad. Sci. Inst. Math., Warsaw,*2018. - Apollonius circle counting, London Math. Soc. Newsletter, No. 478 (2018) 31–34.
- Joint spectral radius, Sturmian measures and the finiteness conjecture (with O. Jenkinson), Ergodic Theory and Dynamical Systems, 38 (2018) 3062-3100.

**Papers published in 2019**

- Phase transitions in long-range Ising models and an optimal condition for factors of
g -measures (with A. Johansson and A. Oberg), Ergodic Theory and Dynamical Systems, 39 (2019) 1317-1330