- (with Eric Klassen) Entropy of Real Rational Surface automorphisms: Actions on the Fundmental Groups, preprint (2021), Arxiv version
- (with Eric Bedford) Julia sets for polynomial diffeomorphisms of
**C**^{2}are not seminanlytic, Documenta Mathematica, 24, 163-173. Arxiv version - (with Jeffrey Diller) Entropy of real rational surface automorphisms,Experimental mathematics online version is available . here
- (with Eric Bedford) No smooth Julia sets for polynomial diffeomorphisms of
**C**^{2}with positive entropy, J. Geom. Anal. 27, 3085-3098 Arxiv version - (with Eric Bedford and Jeffrey Diller) Pseudoautomorphisms with invariant curves, Complex Geometry and Dynamics, The Abel Symp. 2013, 1-27. Arxiv version
- (with Eric Bedford and Serge Cantat) Pseudo-automorphisms with no invariant foliation, J. Mod. Dyn. 8 (2014), no. 2, 221¡©250. Arxiv version . A longer version is available here
- (with Eric Bedford and Serge Cantat) Pseudo-automorphisms without dimension-reducing factors, J. Mod. Dyn. 8 (2014), no. 2, 221¡©250. Arxiv version
- (with Eric Bedford) Pseudo-Automorphisms of 3-space: Periodicities and Positive Entropy in Linear Fractional Recurrences,Publ. Mat. 58 (2014), no. 1, 65-119 Arxiv version
- (with Eric Bedford) Dynamics of Rational Surface Automorphisms: Rotation Domains, Amer. J. Math. 134 (2012), no. 2, 379¡©405. Arxiv version
- How to Find Invariant Hypersurfaces for Birational Maps,roceedings of the International Workshop Future Directions in Difference Equations, 107-112, Universida de Vigo, Spain.
- (with Eric Bedford) Linear Fractional Recurrences: Periodicities and Integrability, Annales de la Facult\'{e} des Sciences de Toulouse, 33-56, Universit\'{e} Paul Sabatier, Toulouse, France. Arxiv version
- (with Eric Bedford) Continuous Families of Rational Surface Automorphisms with Positive Entropy, Mathematische Annalen, 348:667-688 Arxiv version
- (with Eric Bedford) Dynamics of Rational Surface Automorphisms : Linear Fractional Recurrences, J. Geom. Anal. 19 (2009), no. 3, 553--583 preprint
- (with Nina Abarenkova et al.) Degree Complexity of a Family of Birational Maps, Math. Phys. Anal. Geom. 11 (2008), no. 1, 53--71 preprint
- (with Eric Bedford) The Number of Periodic Orbits of a Rational Difference Equation, To appear in the KiselmanFest volume Arxiv version
- (with Eric Bedford) Degree Growth of Matrix Inversion: Birational Maps of Symmetric, Cyclic Matrices, Discrete Contin. Dyn. Syst. 21 (2008), no. 4, 977--1013 Arxiv version
- (with Eric Bedford) Linear Recurrences in the Degree Sequences of Monomial Mappings, Ergodic Theory Dynam. Systems 28 (2008), no. 5, 1369--1375 Arxiv version
- (with Eric Bedford) Periodicities in Linear Fractional Recurrences: Degree growth of birational surface maps, Michigan Math. J. 54(3), 647-671 2006 Arxiv version
- (with Eric Bedford) On the Degree Growth of Birational Mappings in Higher Dimension, Journal of Geometric Analysis 14(4), 567-596 2004 Arxiv version

- (with Victor W. Goodman) Common Forward Rate Volatility, SIAM J. Finan. Math. 1, 3, 212-229.
- (with Jungmin Choi) The derivatives of Asian call option prices, Commun. Math. Sci. 6 (2008), no. 3, 557--568 preprint
- Moment Generating function of the inverse of integral of geometric Brownian Motion, Proc. Amer. Math. Soc. 132, 2753-2759 2004
- (with Victor W. Goodman) Exponential Martingales and Time Integrals of Brownian motion 2006 preprint preprint
- Integrals of Exponential Brownian motion and Derivative pricing in the log-normal bond model, Doctorate thesis 2003

- (with Dong-Uy Shin) The recursive dimension formula for graded Lie algebra and its applications, Communications in algebra, 27(6), 2627-2652 1999
- The recursive dimension formula for graded Lie algebra and its applications, Master's thesis 1997