Publications and Preprints    



 
 


1. Holomorphic dynamics and conformal iterated function systems.

1.1 Meromorphic functions  


   Rigidity and absence of line fields for meromorphic and Ahlfors islands maps.
      (with L. Rempe)  pdf-file

            Ergodic Properties of sub-hyperbolic Functions with
               Polynomial Schwarzian Derivatives. (with M. Urbanski)  
               Proc. Edinburgh Math. Soc 53 (2010), 471-502. pdf-file

           Thermodynamical Formalism and Multifractal Analysis for
              Meromorphic Functions of finite order. (with M. Urbanski)
              Memoir AMS, Vol. 203, No. 954 (2010). pdf-file

           The size of the Julia set of meromorphic functions.
               Math. Nachrichten 282, No. 8 (2009), 1189-1194.  pdf-file

            Geometric thermodynamical formalism and real analyticity
                for meromorphic functions of finite order. (with M. Urbanski)
                Ergodic Theory and Dynamical Systems 28 (2008), 915-946.  pdf-file

            Fractal measures for meromorphic functions of finite order. (with M. Urbanski)
                Dynamical Systems, 22 (2007), 169-178.  pdf-file

           Exponential Elliptics give dimension two. (with M. Urbanski)
                Illinois J. Math., 49 (2005), 291-294.  ps-file

            Gibbs and Equilibrium Measures for Elliptic Functions. (with M. Urbanski)
               Math. Zeitschrift, 250 (2005), 657-683.  ps-file

1.2 Rational functions and conformal iterated function systems.

           Distance Expanding Random Mappings, Thermodynamical Formalism,   
               Gibbs measures and Fractal Geometry. (with B. Skorulski and M. Urbanski)
               preprint.  pdf-file

           Rational functions without conformal measures on the conical set.
                preprint.  ps-file

           Finer Geometric  Rigidity of limit sets of conformal IFS. (with M. Urbanski)
                Proceedings of the AMS, 131, Nr.12 (2003), 3695-3702.  ps-file

           Comparing measures and invariant line fields.
                Ergodic Theory & Dynamical Syst. 22 (2002),  555-570.  ps-file

           Rigidity of connected limit sets of conformal IFS. (with R. D. Mauldin and M. Urbanski)
               Michigan Math. J. 49 (2001), 451-458.  ps-file
 

2. Quasiregular Dynamics.

    The generalized Lichnerowicz problem:  Uniformly quasiregular mappings and space
        forms.  (with G. J. Martin and K. Peltonen) 
        Proceedings of the AMS, 134 (2006) 2091-2097.

    Local Dynamics of Uniformly Quasiregular Dynamics. (with A. Hinkkanen and G. J. Martin)
      Math Scandinavica, 95 (2004), 80-100.  ps-file

    Rigidity in Holomorphic and Quasiregular Dynamics. (with G. J. Martin)
      Transactions of the AMS, 355, Nr.11 (2003), 4297-4347 .  ps-file

    Behavior of quasiregular semigroups near attracting fixed points.
      Ann. Acad. Sci. Fenn. Math., Vol. 25  (2000), 31-39.

    Quasiregular analogues of Critically Finite Rational Functions with Parabolic Orbifold.
       J. d'Analyse Math., Vol. 75  (1998) , 105-119.

    Uniformly quasiregular mappings of Lattès type.
      Conformal Geometry & Dynamics, Vol. 1  (1997), 104-111.
 
 


3. Bilipschitz Homogeneous Curves.

    Bilipschitz group actions and homogeneous Jordan curves.
      (with D.A. Herron)  Illinois J. Math., Vol. 43, Nr. 4  (1999), 770- 792.

    Trajectoires de groupes à 1-paramètre de quasi-isométries.
      Revista Matematica Iberoamericana, Vol. 11, Nr. 1  (1995), 143-164.
 



4. Quasiconformal Groups.

    Groupes d'homéomorphisms de la droite ou du cercle laissant invariant l'espace BMO.
      (with M. Zinsmeister)  Bull. London Math. Soc. 28 (1996), 24-32.

    Cyclic parabolic quasiconformal groups that are not the quasiconformal conjugates of
      Mobius groups.
      Ann. Acad. Sci. Fenn. A.I. Math., Vol. 18 (1993), 147-154.