Carlangelo Liverani - Selected Publications#

1. Parabolic dynamics and Anisotropic Banach spaces, with Paolo Giulietti. Journal of the European Mathematical Society. 21, no. 9, 2793–2858 (2019).

2. Fast-slow partially hyperbolic systems beyond averaging. Limit Theorems, with Jacopo De Simoi. Inventiones Mathematicae 213 (2018), no. 3, 811-1016.

3. Exponential Decay of Correlations for Finite Horizon Sinai Billiard Flows, with Viviane Baladi and Mark Demers. Inventiones Mathematicae, 211, 1, pp. 39–177 (2018).

4. Statistical properties of mostly contracting fast-slow partially hyperbolic systems, with Jacopo De Simoi. Inventiones Mathematicae. 206, 1, (2016) 147–227.

5. Anosov Flows and Dynamical Zeta Functions, with Paolo Giulietti and Mark Pollicott. Annals of Mathematics, 178, 2 (2013) 687–773.

6. Toward the Fourier law for a weakly interacting anharmonic crystal, with Stefano Olla, Journal of the American Mathematical Society, 25 (2012) 555-583.

7. Dolgopyat, Dmitry; Liverani, Carlangelo Energy transfer in a fast-slow Hamiltonian system. Comm. Math. Phys. 308 (2011), no. 1, 201–225.

8. Random Walk in Markovian Environment, with Dmitry Dolgopyat and Gerhard Keller, Annals of Probability, 36, Number 5 (2008), 1676-1710.

9. Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties, with S. Gouëzel, Journal of Differential Geometry, 79 (2008) 433-477.

10. On Contact Anosov flows, Annals of Mathematics, 159, 3, 1275–1312 (2004).

11. A probabilistic approach to intermittency. with Saussol, Benoît and Vaienti, Sandro. Ergodic Theory Dynam. Systems 19 (1999), no. 3, 671–685

12. Stability of the spectrum for transfer operators, with Keller, GerhardAnn. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999), no. 1, 141–152.

13. Decay of correlations. Ann. of Math. (2) 142 (1995), no. 2, 239–301.