Research Articles

  1. Dimension of Julia sets of polynomial automorphisms of C2, Michigan Math. J. 47 (2000), 585-600.
  2. (with J. Lafuma, R. Masse, M.  Morin and A.M. Kellerer) Neutron RBE for the induction of tumors with high lethality in Sprague-Dawley rats, Radiation Research 154 (2000), 412-420.
  3. On the box-dimension of an invariant set, Nonlinearity 14 (2001), 73-79.
  4. Hausdorff and topological dimension for polynomial automorphisms of C2, Ergod. Theory & Dynam. Sys. 22 (2002), 1313-1327.
  5. On measures of maximal and full dimension for polynomial automorphisms of C2, Trans. Amer. Math. Soc. 355 (2003), 3227-3239.
  6. (with L. Barreira) Measures of maximal dimension for hyperbolic diffeomorphisms, Communications Math. Physics 239 (2003), 93-113.
  7. (with R. Shafikov) Filtrations, hyperbolicity and dimension for polynomial automorphisms of Cn, Michigan Math. J. 51 (2003) no. 3, 631-649.
  8. (with L. Barreira and L. Radu) Dimension of measures for suspension flows, Dynamical Systems 19 (2004), no. 2, 89--107.
  9. (with M. Urbanski) SRB measures for Axiom A endomorphisms, Mathematical Research Letters 11 (2004), no. 5-6, 785-797.
  10. (with R. Shafikov) Stable sets, hyperbolicity and dimension, Discrete and Continuous Dynamical Systems 12 (2005), no. 3, 403-412.
  11. (with S. Hayes) Dynamics of a one-parameter family of Henon maps, Dynamical Systems 21 (2006), no. 4, 399--407.
  12. Generalized physical and SRB measures for hyperbolic diffeomorphisms, Journal of Statistical Physics 122 (2006), 1111-1138.
  13. (with L. Barreira) Pointwise dimension and ergodic decompositions, Ergodic theory and Dynamical Systems 26 (2006), 653-671.
  14. (with L. Barreira) Dimension and ergodic decompositions for hyperbolic flows, Discrete and Continuous Dynamical Systems 17 (2007), 201-212.
  15. (with K. Gelfert) Topological pressure for one-dimensional holomorphic dynamical systems, Bulletin Polish Acad. Sci. Math., Bull. Pol. Acad. Sci. Math. 55 (2007), no. 1, 53--62.
  16. (with K. Gelfert) Topological pressure via periodic points, Trans. Amer. Math. Soc. 360 (2008), no. 1, 545--561.
  17. (with M. Urbanski) Ergodic theory of parabolic horseshoes , Communications Math. Physics 281 (2008), no. 3, 711--751.
  18. (with B. Ingle and J. Kaufmann) Natural invariant measures, divergence points and dimension in one-dimensional holomorphic dynamics, Ergodic theory and Dynamical Systems, to appear.
  19. (with K. Gelfert) On the distribution of periodic orbits, submitted.
  20. Variation of topological pressure: From invertible to non-invertible dynamics, in preparation

Thesis

  1. Fraktale Juliamengen polynomialer Automorphismen des C2, Ph.D. dissertation, Technical University of Munich, 1999.
  2. Fractal Julia sets of polynomial Diffeomorphisms of C2, Summary of my Ph.D. dissertation.