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Research Articles
- Dimension of Julia sets of polynomial automorphisms of C2, Michigan Math. J. 47 (2000), 585-600.
- (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.
- On the box-dimension of an invariant set, Nonlinearity 14 (2001), 73-79.
- Hausdorff and topological
dimension for polynomial automorphisms of C2,
Ergod. Theory & Dynam. Sys. 22 (2002), 1313-1327.
- On measures of maximal and full dimension for polynomial automorphisms of C2, Trans. Amer. Math. Soc. 355 (2003), 3227-3239.
- (with L. Barreira) Measures of maximal dimension for hyperbolic diffeomorphisms, Communications Math. Physics 239 (2003), 93-113.
- (with R. Shafikov) Filtrations, hyperbolicity and dimension for polynomial automorphisms of Cn, Michigan Math. J. 51 (2003) no. 3, 631-649.
- (with L. Barreira and L. Radu) Dimension of measures for suspension flows, Dynamical Systems 19 (2004), no. 2, 89--107.
- (with M. Urbanski) SRB measures for Axiom A endomorphisms, Mathematical Research Letters 11 (2004), no. 5-6, 785-797.
- (with R. Shafikov) Stable sets, hyperbolicity and dimension, Discrete and Continuous Dynamical Systems 12 (2005), no. 3, 403-412.
- (with S. Hayes) Dynamics of a one-parameter family of Henon maps, Dynamical Systems 21 (2006), no. 4, 399--407.
- Generalized physical and SRB measures for hyperbolic diffeomorphisms, Journal of Statistical Physics 122 (2006), 1111-1138.
- (with L. Barreira) Pointwise dimension and ergodic decompositions, Ergodic theory and Dynamical Systems 26 (2006), 653-671.
- (with L. Barreira) Dimension and ergodic decompositions for hyperbolic flows, Discrete and Continuous Dynamical Systems 17 (2007), 201-212.
- (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.
- (with K. Gelfert) Topological pressure via periodic points, Trans. Amer. Math. Soc. 360 (2008), no. 1, 545--561.
- (with M. Urbanski) Ergodic theory of parabolic horseshoes , Communications Math. Physics 281 (2008), no. 3, 711--751.
- (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.
- (with K. Gelfert) On the distribution of periodic orbits, submitted.
- Variation of topological pressure: From invertible to non-invertible dynamics, in preparation
Thesis
- Fraktale Juliamengen polynomialer Automorphismen des C2, Ph.D. dissertation, Technical University of Munich, 1999.
- Fractal Julia sets of polynomial Diffeomorphisms of C2, Summary of my Ph.D. dissertation.
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