Note: Some of the files contained here may differ slightly from the published versions.
Robust Parameter Identification with Adaptive Sparse Grid-based Optimization for Nonlinear Systems Biology Models (with M. Donahue, A. Rundell), in 2009 American Control Conference Proceedings, 2009.
Parameter Identification with Adaptive Sparse Grid-based Optimization for Models of Cellular Processes, (with M. Donahue, A. Rundell), submitted, 2009.
Variance-based global sensitivity analysis via sparse-grid interpolation and cubature, (with D. Xiu), submitted, 2009.
Massively parallel simulation of cardiac electrical wave propagation on Blue Gene, Parallel Computing: Architectures, Algorithms and Applications, (with Fox, J.J., Miller, R., Siso-Nadal, F.), C. Bischof, M. Bšucker, P. Gibbon, G.R. Joubert, T. Lippert, B. Mohr, F. Peters (Eds.), John von Neumann Institute for Computing, Jšulich, NIC Series, Vol. 38, pp. 609-616, 2007. Reprinted in: Advances in Parallel Computing, Volume 15, (IOS Press), 2008.
Holomorphic motions and structural stability for polynomial automorphisms of C^2, (with Jenkins, A.), Indiana U. Math. J., 57(1); 277-308, 2008.
Sharp interface and voltage conservation in the phase field method: Application to cardiac electrophysiology, (with Fox, J.J., and F. Siso), SIAM J. Sci. Comp., 30(2); 837-854, 2008.
Computationally Efficient Strategy for Modeling the Effect of Ion Current Modifiers, (with Fox, J.J., Rand, D.G., and Zhou, Q.) IEEE Trans. BME, 55(1); 3-13, 2008.
Modeling and analysis of early events in T-lymphocyte antigen-activated intracellular-signaling pathways (postscript version), (with Zheng, Y., Balakrishnan, V., Geahlen, R., Harrison, M., and Rundell, A.), J. Comp. Appl. Math., 184(1); 320-341, 2005.
Kupka-Smale Theorem for polynomial automorphisms of C^2 and persistence of heteroclinic intersections, (with S. Hruska and Y. Ilyashenko), Invent. Math., 161(1); 45-89, 2005.
Maps conjugating holomorphic maps in C^n (with S. Merenkov), Indiana Univ. Math. J., 52 (2003), 1135-1146.
Tame sets, dominating maps, and complex tori Trans. A.M.S., 355 (2003), no. 6, 2557-2568.
Hyperbolic automorphisms and holomorphic motions in C^2, (with K. Verma), Mich. Math. J., 49 (2001), no. 3, 541-565.
Double sections, dominating maps, and the Jacobian fibration, (with S. Lu), Am. J. Math., 122 (2000), 1061-1084.
Extensions of Henon maps to the closed 4-ball Ergod. Th. Dyn. Sys., 20 (2000), 1319-1334.
A Fatou-Bieberbach domain avoiding a neighborhood of a variety of codimension 2, (with J.H. Hubbard), Math. Ann., 316 (2000), 699-702.
An interpolation theorem for holomorphic automorphisms of C^n, (with F. Forstneric), J. Geom. Anal, 10 (2000), no. 1, 101-108.
Algebraic surfaces holomorphically dominable by C^2, (with S. Lu), Invent. Math., 139 (2000), no. 3, 617-659.
Nondensity of stability for polynomial automorphisms of C^2, Indiana U. Math. J., 48 (1999), no. 3, 857-865.
Kupka-Smale theorem for automorphisms of C^n, Duke Math. J., 93 (1998), no. 3, 487-503.
Complex dynamics in several variables, (with J. Smillie), (expository paper) in Flavors of Geometry, MSRI Publications, Volume 31, 1997.
A Carleman type theorem for proper holomorphic embeddings, (with F. Forstneric), Ark. Mat., 35 (1997), 157-169.
Infinitely many periodic attractors for holomorphic maps of 2 variables, Annals of Math., 145 (1997), 389-417.
Compositional roots of Henon maps, (with J.E. Fornaess), in Geometric Complex Analysis, ed. by J. Noguchi, et al., World Scientific Publ. Co., Singapore, 1996, pp. 67-73.
An embedding of C in C^2 with hyperbolic complement (with J.E. Fornaess), Math. Ann., 306 (1996), no. 3, 539--546.
Complete holomorphic vector fields and time-1 maps, (with J.E. Fornaess), Indiana U. Math. J., 44 (1995), no. 4, 1175-1182.
Stably intersecting Julia sets of polynomials, C.R. Acad. Sci. Paris, Ser. I Math., 317 (1993), no. 11, 1013-1018.