list of publications resulting directly from the project for the period 1/1

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THE UNIVERSITY OF WARWICK
Olek Kozlovski and Sebastian van Strien, Stable maps are dense in dimension one,
April 2 2007, submitted for publication, 10 pages.
Henk Bruin, Juan Rivera-Letelier, Weixiao Shen and Sebastian van Strien, Large
derivatives, backward contraction and invariant densities for interval maps, 2007,
accepted for publication in Inventiones Math. 20 pages.
Oleg Kozlovski and Sebastian van Strien, Local connectivity and quasi-conformal
rigidity of non-renormalizable polynomials. Preprint Sept 2006,
http://arxiv.org/abs/math/0609710, 30 pages.
Colin Sparrow, Sebastian van Strien and Christopher Harris, Fictitious Play in 3x3
Games: the transition between periodic and chaotic bahavior. Accepted for
publication in Games and Economic Behavior.
Oleg Kozlovski, Weixiao Shen and Sebastian van Strien, Density of hyperbolicity in
dimension one. Annals of Mathematics 166, July 2007, 145-182.
Oleg Kozlovski, Weixiao Shen and Sebastian van Strien, Rigidity for real
polynomials. Annals of Mathematics 165 (May 2007), 749-841.
Jordan, T.; Pollicott, M. Multifractal analysis and the variance of Gibbs measures. J.
Lond. Math. Soc. (2) 76 (2007), no. 1, 57--72. 37Dxx (37Axx)
Pollicott, Mark; Sharp, Richard Chebotarev-type theorems in homology classes. Proc.
Amer. Math. Soc. 135 (2007), no. 12, 3887--3894
Nair, R.; Pollicott, M. Pair correlations of sequences in higher dimensions. Israel J.
Math. 157 (2007), 219--238.
Pollicott, Mark; Sridharan, Shrihari Large deviation results for periodic points of a
rational map. J. Dyn. Syst. Geom. Theor. 5 (2007), no. 1, 69--77.
Jenkinson, O.; Pollicott, M. A dynamical approach to accelerating numerical
integration with equidistributed points. Tr. Mat. Inst. Steklova 256 (2007), Din.
Sist. i Optim., 290--304.
Pollicott, Mark; Sharp, Richard Pseudo-Anosov foliations on periodic surfaces.
Topology Appl. 154 (2007), no. 12, 2365--2375.
Jordan, Thomas; Pollicott, Mark; Simon, Károly Hausdorff dimension for randomly
perturbed self affine attractors. Comm. Math. Phys. 270 (2007), no. 2, 519--544.
Rempe, Lasse On a question of Eremenko concerning escaping components of entire
functions. Bull. Lond. Math. Soc. 39 (2007), no. 4, 661--666.
Rempe, Lasse On nonlanding dynamic rays of exponential maps. Ann. Acad. Sci.
Fenn. Math. 32 (2007), no. 2, 353--369.
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Davie, Alexander M.; Urbanski, Mariusz; Zdunik, Anna Maximizing measures of
metrizable non-compact spaces. Proc. Edinb. Math. Soc. (2) 50 (2007), no. 1, 123-151.
Baranski, Krzysztof Trees and hairs for some hyperbolic entire maps of finite order.
Math. Z. 257 (2007), no. 1, 33--59.
Baranski, Krzysztof Hausdorff dimension of the limit sets of some planar geometric
constructions. Adv. Math. 210 (2007), no. 1, 215--245.
Baranski, Krzysztof; Karpinska, Boguslawa Coding trees and boundaries of attracting
basins for some entire maps. Nonlinearity 20 (2007), no. 2, 391—415
Bojarski, B. Whitney's jets for Sobolev functions. Ukraïn. Mat. Zh. 59 (2007), no. 3,
345--358; translation in Ukrainian Math. J. 59 (2007), no. 3, 379--395
Bojarski, Bogdan Primary solutions of general Beltrami equations. Ann. Acad. Sci.
Fenn. Math. 32 (2007), no. 2, 549--557.
Neil Dobbs, Bartlomiej Skorulski "Non-existence of absolutely continuous invariant
probabilities for exponential maps", to appear in Fundamenta Mathematicae
Irene Raquel Inoquio-Renteria Thermodynamic Formalism for transcendental,
Symbolic Dynamic Outlook”. (will be published in the next month)
Przytycki, Feliks; Rivera-Letelier, Juan Statistical properties of topological ColletEckmann maps. Ann. Sci. École Norm. Sup. (4) 40 (2007), no. 1, 135--178.
Rams, Micha\l; Lévy Véhel, Jacques Results on the dimension spectrum for selfconformal measures. Nonlinearity 20 (2007), no. 4, 965--973.
Urbanski, Mariusz; Zdunik, Anna Instability of exponential Collet-Eckmann maps.
Israel J. Math. 161 (2007), 347--371.
Urbanski, Mariusz; Zdunik, Anna Geometry and ergodic theory of non-hyperbolic
exponential maps. Trans. Amer. Math. Soc. 359 (2007), no. 8, 3973--3997
(electronic).
HELSINGIN YLIOPISTO
Astala, K., A. Clop, Mateu, J., Orobitg, J. and I. Uriarte-Tuero. Improved Painlev ́e
Removability for Bounded Planar Quasiregular Mappings. in Harmonic Analysis,
Partial Differential Equations and Related topics. Contemporary Mathematics 428
(2007), 1-12.
J. Brickmont and A.Kupiainen. Towards a Derivation of Fourier’s Law for Coupled
Anharmonic Oscillators. Commun. Math.Phys. 274 (2007), 555-626
J. Brickmont and A.Kupiainen. Fourier’s Law from Closure Equations. Phys. Rev.
Letters 98, 214301 (2007).
A. Clop. Removable singularities for Hölder continuous quasiregular mappings in the
Plane, Ann. Acad. Sci. Fenn. Ser. A I Math. 32 (2007) no.1 171—178
A. Clop. Nonremovable sets for Hölder continuous quasiregular mappings in the
plane. Michigan Math. J. 55 (2007) no.1, 195--208
A. Clop. “Sharp nonremovability examples for Hölder continuous quasiregular
mappings in the plane” joint work with I. Uriarte-Tuero, currently submitted for
publication. 19 pages.
A.Kupiainen and P. Muratore-Ginanneschi . Scaling, Renormalization and Statistical
Conservation Laws in the Kraichnan Model of Turbulent Advection. Journal of
Statistical Physics 126 (2007), 669 – 724.
A. Clop, X. Tolsa, "Analytic capacity and quasiconformal mappings with W(1,2)
Beltrami coefficient", to appear at Math. Res. Let.
A. Clop, D. Faraco, J. Mateu, J. Orobitg, X. Zhong, "Beltrami equations with
coefficient in the Sobolev space W(1,p)", to appear at Publ. Mat.
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE (CNRS)
M Aspenberg, “Dimension and measure of semi-hyperbolic rational maps of degree
2”, (with J. Gracyk). Preprint.
M Aspenberg, “Hyperbolic rational maps cluster around Misiurewicz maps”.
Preprint.
V. Baladi , A. Hachemi : A local limit theorem with speed of convergence for
euclidean algorithms and diophantine costs> To appear, Ann. IHP proba. stat.
V. Baladi et M. Tsujii, Dynamical determinants and spectrum for hyperbolic
diffeomorphisms, To appear, Contemporary Math. Volume in honour of M.
Brin's 60th birthday (Amer. Math. Soc.)
V. Baladi, On the susceptibility function of piecewise expanding interval maps,
Comm. Math. Phys. 275 (2007) 839--859
A.Batakis, P.Levitz, M.Zinsmeister, Brownian fights, accepted in the volume of
PAMQ dedicated to F.W. Gehring
X. Buff, Tan Lei: Dynamical convergence and polynomial vector fields, Journal of
Differential Geomtery, 77 (2007) 1-41.
Buff, Chéritat, Proceedings of the AMS, 2007 [Vol 135, pp. 1073-1080] How regular
can the boundary of a quadratic Siegel disk be?
Buff, Epstein, From Local to Global Analytic Conjugacies, Erg. Th. and Dyn. Sys.
(2007) 27/4, 1073-1094
A.
Cheritat, Parabolic explosion and the size of Siegel disks in the quadratic
family. In "Dynamics on the Riemann Shere, A Bodil Branner Festschrift",
European Mathematics Society, 2007).
Dobbs, Neil Expanding cocycles for interval maps. C. R. Math. Acad. Sci. Paris 345
(2007), no. 1, 39--44.
Dobbs, Neil Visible measures of maximal entropy in dimension one. Bull. Lond.
Math. Soc. 39 (2007), no. 3, 366—376
Grimaldi, Renata; Pansu, Pierre. Calibrations and isoperimetric profiles. Amer. J.
Math. 129, 315-350 (2007).
Y.Heurteaux, Stéphane Jaffard : Multifractal analysis of images : New connexions
between analysis and geometry. Proceedings of the NATO-ASI Conference on
Imaging for Detection and Identification, Springer / : 169-194, 2007.
Y.Heurteaux: Dimension of measures : the probabilistic approach. Publ. Mat. 51 :
243-290, 2007.
Kim, Inkang; Pansu, Pierre Local rigidity of quaternionic hyperbolic lattices. (2007).
28 pages. hal-00167185. To appear in J. Europ. Math. Soc.
H.Mazur, A.Zorich Combinatorial geometry of generic degenerations of quadratic
differentials}, in collect. ``Partially Hyperbolic Dynamics, Laminations, and
Teichm\"uller Flow''. Edited by: Giovanni Forni, Mikhail Lyubich, Charles Pugh
and Michael Shub. Fields Institute Communications, Vol. 51, 2007, 223--246.
Pansu, Pierre Cohomologie Lp en degré 1 des espaces homogènes. Potential Anal. 27,
151-165 (2007).
Pansu, Pierre, Plongements quasiisométriques du groupe de Heisenberg dans Lp,
d'après Cheeger, Kleiner, Lee, Naor. (2007). 15 pages. A paraître au Séminaire de
Théorie Spectrale et Géométrie de Grenoble.
Tan Lei & Carsten Petersen: Analytic coordinates recording cubic dynamics,
Submitted to the volume in honour of J.Hubbard.
A.Zorich. Explicit Jenkins--Strebel representatives of all strata of Abelian and
quadratic differentials, Journal of Modern Dynamics, Vol. 2, No. 1, 2008, 139-185.
UNIVERSITAT DE BARCELONA
P. Blanchard, R.L. Devaney and E. Russell and A. Garijo, Generalized version of the
{M}c{M}ullen Domain, Preprint, to appear in Inter. J. Biff. and Chaos.
Carroll, T.; Ortega-Cerdà, J., Configurations of balls in Euclidean space that
Brownian motion cannot avoid, Annales Academiae Scientiarum Fennicae Series
A1-Mathematica 32 (2007) 223--234.
Devaney, Robert L. and Antonio Garijo, Julia Sets Converging to the Unit Disk.
Preprint (to appear in Proc. AMS).
P. Dominguez and N. Fagella, Residual Julia sets of rational and transcendental
functions, In Transcendental dynamics and complex analysis, Cambridge
University Press, 2007.
N. Fagella, X. Jarque and J. Taixés, Connectivity of Julia sets of transcendental
meromorphic maps , To appear in Proc. London Math. Soc..
N. Fagella and A. Garijo, The Parameter Planes of $\lambda z^m \exp(z)$ for $m\geq
2$, Communications in Mathematical Physics, 273 (2007), 755--783.
Fagella, Núria; Garijo, Antonio The parameter planes of $\lambda z\sp m\exp(z)$ for
$m\geq 2$. Comm. Math. Phys. 273 (2007), no. 3, 755--783.
A. Garijo and X. Jarque, Local and global phase portrait of equation $z'=f(z)$,
Discrete and Cont. Dynamical Systems 17 no. 2 pp. 309-329, 2007.
A. Garijo, A. Gasull and X.Jarque, Simultaneous bifurcation of limit cycles from two
nests of periodic orbits. To appear in J. Math. Anal. Appl., 2007.
Havin, V.P.; Nersessian, A.H.; Ortega-Cerdà, J. Uniform estimates in the PoincareAronszajn theorem on the separation of singularities of analytic functions, Journal
d’Analyse Mathematique 101 (1) (2007), 65--93.
A. Jorba, C. Núñez, R. Obaya, J.C. Tatjer, Old and new results on SNAs on the real
line. International Journal of Bifurcation and Chaos (to appear).
CHRISTIAN-ALBRECHTS-UNIVERSITAET ZU KIEL
W. Bergweiler, P. J. Rippon und G. M. Stallard, Dynamics of meromorphic functions
with direct or logarithmic singularities, http://arxiv.org/abs/0704.2712
W. Bergweiler, Newton's method and Baker domains,
http://arxiv.org/abs/0710.1147
W. Bergweiler, D. Drasin and J. K. Langley, Baker domains for Newton's method,
Ann.\ Inst. Fourier, 57, 803-814 (2007).
W. Bergweiler and J. K. Langley, Zeros of differences of meromorphic functions,
Math.\ Proc.\ Cambridge Philos.\ Soc. 142, 133-147 (2007).
Bergweiler, Walter; Drasin, David; Langley, James K. Baker domains for Newton's
method. Ann. Inst. Fourier (Grenoble) 57 (2007), no. 3, 803--814.
Bergweiler, Walter; Langley, J. K. Zeros of differences of meromorphic functions.
Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 133--147
W. Bergweiler, Permutable entire functions satisfying algebraic differential
equations, Comput. Methods Funct. Theory, 8, 101-106 (2008).
Denker, Manfred; Holzmann, Hajo Markov partitions for fibre expanding systems.
Colloq. Math. 110 (2008), no. 2, 485--492.
Denker, Manfred; Kabluchko, Zakhar An Erdös-Rényi law for mixing processes.
Probab. Math. Statist. 27 (2007), no. 1, 139--149.
Denker, M.; Kan, N. On Sevast\cprime yanov's theorem. Statist. Probab. Lett. 77
(2007), no. 3, 272--279.
Denker, Manfred; Koch, Susanne On the uniqueness of the maximum of the paths of
random walks. J. Statist. Plann. Inference 137 (2007), no. 3, 659--668.
Denker, Manfred; Imai, Atsushi; Koch, Susanne Dirichlet forms on quotients of shift
spaces. Colloq. Math. 107 (2007), no. 1, 57--80.
V. A. Kaimanovich, I. Kapovich, P. Schupp, Generic stretching factors for free group
automorphisms, Israel J. Math.157, (2007), 1-46.
Markus Förster, Dierk Schleicher, Parameter rays for the complex exponential family,
(2005). Ergodic Theory and Dynamical Systems, to appear. ArXiv
math.DS/050597.
Markus Förster, Lasse Rempe, Dierk Schleicher. Classification of Escaping
Exponential Maps, Proceedings of the American Mathematical Society 136, 2,
(2008), 651--663.
Alexandra Kaffl: On the structure of abstract Hubbard trees and the space of abstract
kneading sequences of degree two. Ergodic Theory Dynam. Systems 27 (2007),
no. 4, 1215--1238.
Bastian Laubner,Vlad Vicol, Dierk Schleicher. A Combinatorial Classification of
Postsingularly Preperiodic Complex Exponential Maps, (2006). Discrete and
Continuous Dynamical Systems, to appear. ArXiv math.DS/0602602.
Lasse Rempe , Dierk Schleicher, Combinatorics of bifurcations in exponential
parameter space, ArXiv math.DS/0408011. Transcendental dynamics and
complex analysis, (Phil Rippon and Gwyneth Stallard, eds), London Math. Soc.
Lecture Note Ser., Cambridge University Press (2007), 317--370.
Johannes Rückert, Dierk Schleicher On Newton's method for entire functions, Journal
of the London Mathematical Society, 75, 3, (2007), 659--676. ArXiv
math.DS/0505652.
Rückert, Johannes; Schleicher, Dierk On Newton's method for entire functions. J.
Lond. Math. Soc. (2) 75 (2007), no. 3, 659--676.
Dierk Schleicher, The dynamical fine structure of iterated cosine maps and a
dimension paradox. Duke Mathematics Journal, 136, 2, (2007), 343--356.
Dierk Schleicher, Hausdorff dimension, its properties, and its surprises. American
Mathematical Monthly, 114, 6 (2007), 509--528. ArXiv math.DS/0505099.Dierk
Schleicher, Newton's Method as a Dynamical System: Efficient Root Finding of
Polynomials and the Riemann $\zeta$ function. Proceedings of the Fields
Institute, Toronto,Volume in Honor of John Milnor's 75th birthday, to appear.
Dierk Schleicher, Hausdorff Dimension of Exponential Parameter Rays and Their
Endpoints,with Mihai Bailesteanu and Vlad Balan. Nonlinearity, to appear (2007).
ArXiv 0704.3087.
Dierk Schleicher, Escaping Points of the Cosine Family, with Günter Rottenfußer.
ArXiv math.DS/0403012. Transcendental dynamics and complex analysis (Phil
Rippon and Gwyneth Stallard, eds), London Math. Soc. Lecture Note Ser.,
Cambridge University Press (2007).
Schleicher, Dierk Hausdorff dimension, its properties, and its surprises. Amer. Math.
Monthly 114 (2007), no. 6, 509--528.
Schleicher, Dierk The dynamical fine structure of iterated cosine maps and a
dimension paradox. Duke Math. J. 136 (2007), no. 2, 343--356.
ROSKILDE UNIVERSITETSCENTER.
T. Bates, T.M. Carlsen, and S. Eilers: Dimension groups associated to betaexpansions. Mathematica Scandinavica 100, 2007.
T.M. Carlsen and S. Eilers: A graph approach to computing nondeterminacy in
substitutional dynamical systems. RAIRO - Theoretical Informatics and
Applications 41 (2007), 285306.
Carsten Lunde Petersen,
Quasi-symmetric conjugacy of Blaschke products on the unit circle, Bull. London
Math. Soc. 39 (2007) 724–730,
TECHNOLOGICAL EDUCATIONAL INSTITUTE OF WEST MACEDONIA
Mouratidis Christoforos, Geometric characterization for the Blaschke products,
(preprint)
UNIVERSITE DE GENEVE
Konstantin Izyurov, “On one uniqueness theorem for M. Rietz potentials, Algebra I”
Analiz N4(2007) (russian)
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