(with M. Todd)

*A trichotomy for hitting times and escape rates for a class of unimodal maps*, submitted. pdf(with V. Climenhaga, Y. Lima and H.-K. Zhang)

*Lyapunov exponents and nonadapted measures for dispersing billiards*, to appear in Comm. Math. Phys. pdf(with V. Baladi and J. Carrand)

*Measure of maximal entropy for finite horizon Sinai billiard flows*, to appear in Annales Henri Lebesgue. pdf(with A. Korepanov)

*Rates of mixing for the measure of maximal entropy of dispersing billiard maps*, Proc. London Math. Soc.**128**:1 (2024), e12578. pdf*Topological entropy and pressure for finite horizon Sinai billiards*, Proceedings Int. Cong. Math. 2022, Vol. 5, pp. 3432--3459. EMS Press, Berlin, 2023. pdf(with C. Liverani)

*Projective cones for sequential dispersing billiards*, Comm. Math. Phys.**401**:1 (2023), 841-923. pdf(with V. Baladi)

*Thermodynamic formalism for dispersing billiards*, Journal of Modern Dynamics**18**(2022), 415-493. 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.

Thermodynamic Formalism for Dispersing Billiard Maps and Flows, Slides from mini-course given as part of the Summer School on Partial Hyperbolicity, held at the Brin Mathematics Research Center, University of Maryland, College Park, May 30 - June 9, 2023.

Lecture 1 ∣ Lecture 2 ∣ Lecture 3Transfer Operators in Hyperbolic Dynamics: An Introduction, with N. Kiamari and C. Liverani, 33° Colóquio Brasileiro de Matemática, IMPA 2021, 252 pp.

Link to IMPA Brazilian Colloquium Book List Link to pdf on IMPA webpageAnisotropic Banach Spaces and Thermodynamic Formalism for Dispersing Billiard Maps, Slides from mini-course given as part of the Spring School on Transfer Operators, held during the research semester: Dynamics, Transfer Operators and Spectra, sponsored by the Centre Interfacultaire Bernoulli, EPFL, Lausanne, Switzerland, March 22-26, 2021 (held online).

Lecture 1 ∣ Lecture 2 ∣ Lecture 3 ∣ Lecture 4 ∣ Lecture 5 ∣ Lecture 6Exponential 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.