(with A. Korepanov)

*Rates of mixing for the measure of maximal entropy of dispersing billiard maps*, submitted. pdf*Topological entropy and pressure for finite horizon Sinai billiards*, to appear in Proceedings of the ICM 2022. pdf(with C. Liverani)

*Projective cones for sequential dispersing billiards*, submitted. pdf(with V. Baladi)

*Thermodynamic formalism for dispersing billiards*, to appear in Journal of Modern Dynamics. pdf*Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps*, Discrete and Contin. Dynam. Sys.*Special issue celebrating 25 years of DCDS*,**41**:1 (2021), 217-256. pdf(with M. Todd)

*Asymptotic escape rates and limiting distributions for multimodal maps*, Ergod. Th. and Dynam. Sys.**41**:6 (2021), 1656-1705. pdf(with F. Pene and H.-K. Zhang)

*Local limit theorem for randomly deforming billiards*, Comm. Math. Phys.**375**(2020), 2281-2334. pdf(with I. Melbourne and M. Nicol)

*Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas*, Nonlinearity**33**:8 (2020), 4095--4113. pdf(with V. Baladi)

*On the measure of maximal entropy for finite horizon Sinai billiard maps*, Journal Amer. Math. Soc.**33**:2 (2020), 381-449. pdf*A gentle introduction to anisotropic Banach spaces*, Chaos, Solitons and Fractals**116**(2018), 29-42. pdf(with L. Rey-Bellet and H.-K. Zhang)

*Fluctuation of the entropy production for the Lorentz gas under small external forces*, Comm. Math. Phys.**363**:2 (2018), 699-740. pdf(with H. Bruin and M. Todd)

*Hitting and escaping statistics: mixing, targets and holes*, Advances in Mathematics**328**(2018), 1263-1298. pdf(with M. Todd)

*Slow and fast escape for open intermittent maps*, Comm. Math. Phys.**351**:2 (2017), 775-835. pdf(with C. Ianzano*, P. Mayer*, P. Morfe*, E. Yoo*)

*Limiting distributions for countable state topological Markov chains with holes*, Discrete and Contin. Dynam. Sys.**37**:1 (2017), 105-130. pdf(with V. Baladi and C. Liverani)

*Exponential decay of correlations for finite horizon Sinai billiard flows*, Inventiones Math.**211**:1 (2018), 39-177 pdf. Erratum pdf.(with M. Todd)

*Equilibrium states, pressure and escape for multimodal maps with holes*, Israel J. Math.**221**:1 (2017), 367-424. pdf(with B. Fernandez)

*Escape rates and singular limiting distributions for intermittent maps with holes*, Trans. Amer. Math. Soc.**368**:7 (2016), 4907-4932. pdf(with H.-K. Zhang)

*Spectral analysis of hyperbolic systems with singularities*, Nonlinearity**27**(2014), 379-433. pdf*Escape rates and physical measures for the infinite horizon Lorentz gas with holes*, Dynamical Systems: An International Journal**28**:3 (2013), 393-422. pdf*Dispersing billiards with small holes*, in*Ergodic theory, open dynamics and coherent structures*, Springer Proceedings in Mathematics**70**(2014), 137-170. pdf(with H.-K. Zhang)

*A functional analytic approach to perturbations of the Lorentz Gas*, Communications in Mathematical Physics**324**:3 (2013), 767-830. pdf(with P. Wright)

*Behavior of the escape rate function in hyperbolic dynamical systems*, Nonlinearity**25**(2012), 2133-2150. pdf(with H.-K. Zhang)

*Spectral analysis of the transfer operator for the Lorentz Gas*, Journal of Modern Dynamics**5**:4 (2011), 665-709. pdf(with P. Wright and L.-S. Young)

*Entropy, Lyapunov exponents and escape rates in open systems*, Ergod. Th. and Dynam. Sys.**32**:4 (2012), 1270-1301. pdf*Functional norms for Young towers*, Ergod. Th. and Dynam. Sys.**30**:5 (2010), 1371-1398. pdf(with P. Wright and L.-S. Young)

*Escape rates and physically relevant measures for billiards with small holes*, Communications in Mathematical Physics**294**:2 (2010), 353-388. pdf(with H. Bruin and I. Melbourne)

*Existence and convergence properties of physical measures for certain dynamical systems with holes*, Ergod. Th. and Dynam. Sys.**30**(2010), 687-728. pdf(with M.P. Wojtkowski)

*A family of pseudo-Anosov maps*, Nonlinearity**22**(2009), 1743-1760. Full text pdf Abstract(with C. Liverani)

*Stability of statistical properties in two-dimensional piecewise hyperbolic maps*, Trans. Amer. Math. Soc.**360**:9 (2008), 4777-4814. pdf(with L.-S. Young)

*Escape rates and conditionally invariant measures*, Nonlinearity**19**(2006), 377-397. pdf(with L.A. Bunimovich)

*Deterministic models of the simplest chemical reactions*, J. Stat. Phys.**120**(2005), 239-252. pdf*Markov extensions and conditionally invariant measures for certain logistic maps with small holes*, Ergod. Th. and Dynam. Sys.**25**:4 (2005), 1139-1171. pdf*Markov extensions for dynamical systems with holes: an application to expanding maps of the interval*, Israel J. Math.**146**(2005), 189-221. pdf

*Indicates undergraduate co-author.

Transfer Operators in Hyperbolic Dynamics: An Introduction, with N. Kiamari and C. Liverani, 33° Colóquio Brasileiro de Matemática, IMPA 2021, 252 pp.

Exponential Decay of Correlations for Contact Hyperbolic Flows, given as a minicourse at the workshop on Statistical Properties of Nonequilibrium Dynamical Systems held at the South University of Science and Technology of China, Shenzhen, China, July 11-26, 2016.

Introductory Lectures on Open Systems, given as part of the LMS-CMI Research School at Loughborough University, UK, April 13-17, 2015.