(with Jason Bell, Holly Krieger and Mattias Jonsson) Birational maps with transcendental dynamical degree. Preprint.

(with Jason Bell and Mattias Jonsson) A transcendental dynamical degree. Acta Mathematica

**225**(2020), pages 193-225.(with Kyounghee Kim) Entropy of real rational surface automorphisms. Experimental Mathematics

**30**(2021), pages 172-190.(with Jan-Li Lin) Rotation numbers of elements in Thompson’s group T. Topology Proceedings

**50**(2017), pages 203–212.(with Roland Roeder) Typical dynamics of plane rational maps with equal degrees. Journal of Modern Dynamics

**10**(2016), 353–377.(with Eric Bedford and Kyounghee Kim) Pseudoautomorphisms with invariant elliptic curves. Springer Abel Symposium

**10***Complex Geometry and Dynamics*(2015), pages 1-27.(with Jan-Li Lin) Rational surface maps with invariant two forms. Math Annalen

**364**(2016), pages 313-352.(with appendix written by Igor Dolgachev) Cremona transformations, surface automorphisms, and the group law, Michigan Math Journal

**60**(2011), pages 409–440.(with Romain Dujardin and Vincent Guedj) Dynamics of meromorphic maps with small topological degree III: geometric currents and ergodic theory, Annales Scientifiques de l'École Normale Supérieure

**43**(2010), pages 235–278.(with Romain Dujardin and Vincent Guedj) Dynamics of meromorphic maps with small topological degree II: energy and invariant measure, Commentarii Mathematicae Helvetici

**86**(2011), pages 277–316..(with Romain Dujardin and Vincent Guedj) Dynamics of meromorphic maps with small topological degree I: from currents to cohomology, Indiana University Math Journal

**59**(2010), pages 521–561.(with Eric Bedford)

*Real dynamics of a family of plane birational maps: trapping regions and entropy zero*, in volume**Complex Dynamics: Families and Friends**(published by AK Peters, 2009).(with Vincent Guedj)

*Regularity of Dynamical Green Functions*, Transactions of the American Mathematical Society 9 (2009) pages 4783-4805.(with Eric Bedford)

*Dynamics of a two parameter family of plane birational maps: maximal entropy*, Journal of Geometric Analysis**16**(2006) 409—430.(with Daniel Jackson and Andrew Sommese)

*Invariant curves for birational surface maps*, Transactions of the American Mathematical Society**359**(2007), pages 2793--2991.(with Eric Bedford)

*Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift*, American Journal of Mathematics**127**(2005), pages 595-646.(with Eric Bedford)

*Energy and invariant measure for birational surface maps*, Duke Mathematical Journal**128**(2005), pages 338-368.Birational maps with sparse post-critical sets. Complex Dynamics, Proceeding of RIMS April 2003-March 2004. Kyoto University (2005), pages 56-65.

(with Charles Favre)

*Dynamics of bimeromorphic maps of surfaces*, American Journal of Mathematics**123**(2001), pages 1135-1169.*Invariant measure and Lyapunov exponents for birational maps of**P*^{2}, Commentarii Mathematicae Helvetici**76**(2001), pages 754-780.*Green's functions, electric networks, and the geometry of hyperbolic Riemann surfaces,*Illinois Journal of Mathematics**45**(2001), pages 453-485.(with Matttias Jonsson)

*Topological entropy on saddle sets in**P*, Duke Mathematical Journal^{2}**103**(2000), pages 261-278.*Birational maps, positive currents, and dynamics*, Michigan Mathematics Journal**46**(1999), pages 361-375.(with David E. Barrett)

*A new construction of Riemann surfaces with corona*, Journal of Geometric Analysis (1998), pages 341-347.*Dynamics of birational maps of**P*, Indiana University Mathematics Journal^{2}**45**(1996), pages 721-772.(with David E. Barrett)

*Contraction properties of the Poincaré series operator*, Michigan Mathematics Journal**43**(1996), pages 519-538.*A canonical ∂ problem for bordered Riemann surfaces*, Journal of Geometric Analysis**6**(1996), pages 1-17.*Limits on an extension of Carleson's ∂ Theorem*, Indiana University Mathematics Journal**44**(1995), pages 747-763.*The failure of weak holomorphic averaging*, Mathematische Zeitschrift**217**(1994), pages 167-177.(with David E. Barrett)

*Poincare series and holomorphic averaging*, Inventiones Mathematica**110**(1992), pages 23-27.