The following papers benifited from Prodyn support
J. Aaronson, M. Denker: Group extensions of Gibbs-Markov maps.
Probab. Theory and Related Fields {\bf 123} (2002), 28--40.
V. Baladi, H.H Rugh,
Floquet spectrum of weakly coupled map lattices, Comm. Math. Phys.,
220, 561-582 (2001) http://www.math.jussieu.fr/~baladi/
V. Baladi, M. Benedicks and V. Maume-Deschamps,
Almost sure rates of mixing for i.i.d. unimodal maps,
Ann. E.N.S., 35 77-126 (2002); Corrigendum Ann. E.N.S., 36 319-322
(2003)
http://www.math.jussieu.fr/~baladi/
and download
V. Baladi, H.-H. Rugh and Y. Jiang, Dynamical determinants via dynamical
conjugacies for postcritically finite polynomials, J. Stat. Phys., 108,
973-993 (2002)
http://www.math.jussieu.fr/~baladi/
V. Baladi and M. Baillif, Kneading determinants and spectra of transfer
operators in higher dimensions, the isotropic case, Preprint (revised
version, submitted to ETDS, 2003)
http://www.math.jussieu.fr/~baladi/
V. Baladi, E. Pujals, and M. Sambarino, Dynamical zeta functions for
analytic surface diffeomorphisms with
dominated splitting, Preprint (2003), submitted for publication
A. Bis, M. Urbanski, Some remarks on topological entropy of a semigroup of
countinuous maps, Preprint 2003.
M. Blank, G. Keller, C. Liverani
Ruelle-Perron-Frobenius spectrum for Anosov maps,
Nonlinearity 15 (2002), 1905-1973. Preprint(2001).
http://www.mi.uni-erlangen.de/~keller/english_index.html
C. Bonatti and E. Dufraine,
Équivalence topologique de connexions de selles en dimension 3,
Ergodic Theory Dynam. Systems (2003)
vol. 23, Issue 5, 1347 - 1381
http://www.maths.warwick.ac.uk/~dufraine/
X. Bressaud, R. Zweimuller. Non exponential law of entrance times in
asymptotically rare events for intermittent maps with infinite invariant
measure. Annales Henri Poincarré 2 (2001) 1 - 12.
X. Bressaud and C. Liverani,
Anosov diffeomorphism and coupling, Ergodic Theory and
Dynamical Systems, 22, n. 1, pp. 129--152, (2002).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html and
download
J. Bricmont, A.Kupiainen, R.Lefevre,
Probabilistic estimates for the Two Dimensional Stochastic
Navier-Stokes Equations. Abstract:
We consider the Navier-Stokes equation on atwo dimensional torus with
a random force which is is white noise in time,and exites only a
finite number of modes. The number of excited modes depends on the
viscosity n, and grows like n>-3 when n goes to zero. We prove that
this Markov process has a unique invariant measure and is
exponentially mixing in time.
download
J.Bricmont, A.Kupiainen, R.Lefevre,
Exponential mixing of the 2d Stochastic Navier-Stokes Dynamics
Abstract:
We consider the Navier-Stokes equation on atwo dimensional torus with
a random force which is is white noise in time,and exites only a
finite number of modes. The number of excited modes depends on the
viscosity n, and grows like n>-3 when n goes to zero. We prove that
this Markov process has a unique invariant measure and is
exponentially mixing in time.
download
J.Bricmont, A.Kupiainen, R.Lefevre,
Renormalizing the renormalization group pathologies.
We review the status of the "pathologies" of the Renormalization Group
encountered when one tries to define rigorously the Renormalization
Group tranformation as a map between Hamiltonians. We explain their
origin and clarify their status by relating them to the Griffith's
singularities appearing in disordered systems; moreover, we suggest
that the best way to avoid those pathologies is to use the contour
representation rather than the spin representation for lattice spin
models at low temperatures. Finally, we outline how to implement the
Renormalization Group in the contour representation.
download
J.Bricmont, A.Kupiainen, R.Lefevre,
Ergodicity of the 2D Navier-Stokes Equations with Random Forcing
Abstract: We consider the Navier-Stokes
equation on a two dimensional torus with
a random force, acting at discrete times and analytic in space, for
arbitrary small viscosity coefficient. We prove the existence and
uniqueness of the invariant measure for this system as well as
exponential mixing in time.
download
H. Bruin, S. Luzzatto and S. van Strien, Decay of correlations in
one-dimensional dynamics, Preprint (1999) and (2001), Ann. Sci.
Ec. Norm. Sup. 36 (2003) 621-646.
http://www.maths.surrey.ac.uk/personal/st/H.Bruin/publications.html
and download
H. Bruin, B. Saussol, S. Troubetzkoy and S. Vaienti,
Return time
statistics via inducing, Ergod. Th. Dyn. Sys. 23 (2003) 991-1013;
http://www.maths.surrey.ac.uk/personal/st/H.Bruin/publications.html
H. Bruin and S. van Strien, Expansion of Derivatives in One-Dimensional
Dynamics, Isr. J. Math. 137 (2003) 223-263.
http://www.maths.surrey.ac.uk/personal/st/H.Bruin/publications.html
H. Bruin and S. van Strien, Existence of acips for multimodal maps, in
Global Analysis of Dynamical Systems, Festschrift dedicated to
Floris Takens for his 60th birthday (2001)
http://www.maths.surrey.ac.uk/personal/st/H.Bruin/publications.html
H. Bruin and S. Vaienti, Return time statistics for unimodal maps.
Fund. Math. 176 (2003) 77--94.
http://www.maths.surrey.ac.uk/personal/st/H.Bruin/publications.html
H. Bruin and S. Troubetzkoy, The Gauss map on a class of interval
translation mappings. Isr. J. Math. 137 (2003) 125-148.
http://www.maths.surrey.ac.uk/personal/st/H.Bruin/publications.html
H. Bruin, A. Lambert, G. Poggiaspalla and S. Vaienti, Numerical
analysis for a discontinuous rotation of the torus. Chaos 13
(2003) 558-571. The original publication is available at
[http://www.springerlink.com]
H. Bruin, Weixiao Shen and Sebastian van Strien, Invariant measures
exist without a growth condition. Preprint (2002) [.ps.gz]
to appear in Commun. Math. Phys. The original
publication will be available shortly at
[http://www.springerlink.com]
X. Buff and A. Epstein, A Parabolic Yoccoz Inequality,
Fundamenta Mathematicae (2002), 172, 249-289
http://picard.ups-tlse/~buff
X. Buff and C. Henriksen,
Julia Sets in Parameter Spaces, Communications in Mathematical Physics
(2001) , 220, 333-375. The original publication is
available on LINK at
http://link.springer.de
X. Buff, On the zeros and critical points of a rational map, Int. J. Math. Math. Sci. (2001), 28:4, 243-246.
http://picard.ups-tlse/~buff
X. Buff, Fibonacci Fixed Point of Renormalization, Ergodic Theory and Dynamical Systems (2000), 20, 1287-1317.
http://picard.ups-tlse/~buff
J Buzzi, F Paccaut and B. Schmitt,
Conformal measures for multidimensional piecewise invertible
maps to appear in Ergodic Theory and Dynamical Systems.
http://math.polytechnique.fr/cmat/buzzi/travaux.html
download
J. Buzzi, G. Keller, Zeta functions and transfer operators for
multidimensional piecewise affine and expanding maps,Ergod. Th.
&Dynam. Sys. 21(2001), 690-716.
http://www.mi.uni-erlangen.de/~keller/english_index.html
J. Buzzi, Markov partitions for piecewise monotonic maps, preprint 2003.
http://math.polytechnique.fr/cmat/buzzi/markovpmm.pdf
J. Buzzi, O. Sarig, Uniqueness of equilibrium measures for countable Markov
shifts and multi-dimensional piecewise expanding maps. Ergodic th. and dynam.
syst. 23 (2003), 1383-1400. Preprint 2001.
http://math.polytechnique.fr/cmat/buzzi/uniequ.pdf
J. Buzzi, V. Maume-Deschamps, Decay of correlations for piecewise invertible
maps in higher dimensions, Israel J. Math., 131 (2002),
203-220. Preprint 2001.
http://math.polytechnique.fr/cmat/buzzi/correlpwi.pdf
A. de Carvalho, T. Hall Symbolic dynamics and topological models in
dimensions 1 and 2, in "Topics in Dynamics and Ergodic Theory", ed. S.
Bezuglyi and S. Kolyada, LMS Lecture note series 310, (2003), pp. 40-59.
A. de Carvalho, T. Hall Braid forcing and star-shaped train tracks, to
appear in Topology.
Z Coelho and W Parry,
Ergodicity of p-adic multiplications and the distribution of Fibonacci numbers
http://www-users.york.ac.uk/~zc3/
and
Z. Coelho - On discrete stochastic processes generated by
deterministic sequences and multiplication machines.
http://www-users.york.ac.uk/~zc3/
and download
P. Collet and J.P. Eckmann.
Extensive properties of the complex Ginzburg-Landau equation.
Communications in Mathematical Physics, 1999, vol. 200, n° 3, p. 699-722.
Collet P., Eckmann J.P.
The definition and measurement of the topological entropy per unit volume in parabolic pde?s.
Nonlinearity, 1999, vol. 12, n° 3, p. 451-473.
P.Collet, J.-P.Eckmann. A Rigorous Upper Bound for the Propagation
Speed for the Swift-Hohenberg Equation and Related Equations.
J. Stat. Phys. {\bf 108}, 1107-1124 (2002).
P. Collet,
Statistics of closest returns for some non uniformly hyperbolic systems.
Ergodic Theory & Dynamical Systems, 2001, vol. 21, p. 401-420.
M. Denker, M. Gordin, S.M. Heinemann: On the relative variational
principle for
fibre expanding maps.
Ergodic Theory and Dynamical Systems {\bf 22} (2002), 757--782.
E. Dufraine,
About homotopy classes of non-singular vector fields on the three-sphere
Qual. Theory Dyn. Syst. (2003). Vol 3, 361-376
http://www.maths.warwick.ac.uk/~dufraine/
J P Eckmann, E Jarvenpaa and M Jarvenpaa - Porosities and dimensions
of measures appeared in Nonlinearity 13 (2000) 1-18.
download and
http://mpej.unige.ch/~eckmann/ and
download
C. Fidaleo and C. Liverani,
Ergodic properties of a model related to disordered quantum anharmonic
crystals, Communications in Mathematical Physics, 235,
169-189 (2003).
F. Fidaleo and C. Liverani,
Ergodic properties for a quantum non linear dynamics,
Journal of Statistical Mechanics, 97, 5/6, pp. 957--1009 (1999).
K.Fraczek - Linear growth of the derivative for
measure-preserving diffeomorphisms.
fraczek@mat.uni.torun.pl and http://arxiv.org
and download
K. Fraczek - Measure-preserving diffeomorphisms of the torus.
fraczek@mat.uni.torun.pl and http://arxiv.org
and download
K. Fraczek, On cocycles with values in the group SU(2),
Monatsh. Math 131 (2000), 279-307. Preprint (2000).
http://arxiv.org/abs/math.DS/0002120
K. Fraczek, On the dergree of cocycles with values in the group SU(2),
to appear in Isr. J. Math. Preprint (2002).
Graczyk, J. and Smirnov, S., Collet, Eckmann and Hölder. Invent. Math. 133 (1998), no. 1, 69--96.
http://www.math.kth.se/~stas/
J. Graczyk and S. Smirnov,
Non-uniform hyperbolicity in complex dynamics I, II.
E Jarvenpaa and M Jarvenpaa - Porous measures on the real line have
packing dimension close to zero.
download
C. Keller and C. Liverani,
Stability of the spectrum for transfer operators.,
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (4) Vol.
XXVIII, pp. 141--152 (1999).
http://www.mi.uni-erlangen.de/~keller/english_index.html ,
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
and download
G. Keller, R. Zweimüller Weakly coupled map lattices - between
differentiable dynamics and statistical mechanics: The case of
unidirectional interactions, Nonlinearity 15(2002), 1-24.
http://www.mi.uni-erlangen.de/~keller/english_index.html
Marc Kesseböhmer:
Large deviation for weak Gibbs measures and multifractal spectra.
Nonlinearity 14, No.2, 395-409 (2001).
J. Kotus, M. Urbanski, Geometry and ergodic theory of non-recurrent
elliptic functions, Preprint 2002, to appear in J. d'Analyse Math..
J. Kotus, M. Urbanski, The finer geometry and dynamics of some meromorphic
functions, Preprint 2003.
A.Kupiainen, R.Lefevre
Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations
We consider the Navier-Stokes equation on atwo dimensional torus with
a random force which is is white noise in time,and exites only a
finite number of modes. The number of excited modes depends on the
viscosity n, and grows like n>-3 when n goes to zero. We prove that
this Markov process has a unique invariant measure and is
exponentially mixing in time.
PS PDF 00/22 J.bricmont,
C. Liverani and
V. Maume-Deschamps,
Flows, Random Perturbations and Rate of Mixing, Ergodic Theory and
Dynamical Systems, 18, 6, pp. 1421--1446 (1998).
C. Liverani and M. Wojtkowski,
Conformally Symplectic Dynamics and Symmetry of the Lyapunov Spectrum,
Communications in Mathematical Physics, 194,1, pp.
7--60 (1998).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani, B. Saussol and S.Vaienti,
Conformal Measure and Decay of Correlations for Covering Weighted
Systems,
Ergodic Theory and Dynamical
Systems, 18, 6, pp. 1399--1420 (1998).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani and V. Maume-Deschamps,
Lasota-Yorke maps with holes: conditionally invariant probability
measures and invariant probability measures on the survivor set,
Annales de l'Institut Henri Poincar Probability and
Statistics, 39 (3), 385-412 (2003).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani, S. Vaienti and B. Saussol,
A Probabilistic Approach to Intermittency,
Ergodic Theory and Dynamical Systems, 19, pp. 671--685 (1999).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani,
Interacting particles, in ``Hard Balls Systems and the Lorentz gas" edit
by D.Szasz, Springer series Encyclopaedia of Mathematical Sciences, 101,
Springer, New York, (2000).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani,
Rigorous numerical investigation of the statistical properties of
piecewise expanding maps--A feasibility study, Nonlinearity, 14, n. 3, pp.
463--490, (2001).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
and download
C. Liverani,
Computing the rate of decay of correlations in expanding and hyperbolic
systems , Markov Processes and Related Fields, 8, n.2, pp. 155-162 (2002).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani and V. Maume-Deschamps,
Lasota-Yorke maps with holes: conditionally invariant probability
measures and invariant probability measures on the survivor set,
Annales de l'Institut Henri Poincar Probability and
Statistics, 39 (3), 385-412 (2003).
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
C. Liverani, On Contact Anosov flows, to appear in Annals of Mathematics.
http://www.mat.uniroma2.it/~liverani/pubblicazioni.html
S. Luzzatto and W. Tucker, Non-uniformly expanding dynamics for
maps with critical points and singularities to appear in
Publ.Math.IHES. http://www.ma.ic.ac.uk/~luzzatto/StefIC/index.htm and download
S. Luzzatto, Bounded recurrence of critical points and Jakobson's
Theorem to appear in The Mandelbrotset: themes and variations, Tan Lei
(Ed), CUP.
http://www.ma.ic.ac.uk/~luzzatto/StefIC/index.htm
download
V. Maume-Deschamps - Projective metrics and mixing properties on
towers. download
E. Mihailescu, M. Urbanski, The stable dimension for holomorphic
non-invertible maps is independent of the point, Preprint 2003
F. Przytycki, J. Rivera-Letelier and S. Smirnov,
Equivalence and topological invariance of conditions for non-uniform
hyperbolicity in the iteration of
rational maps. Invent. Math. 151 (2003), no. 1, 29--63.
http://www.impan.gov.pl/~feliksp/
F. Przytycki, J. Rivera-Letelier, S. Smirnov. Equality of pressures
for rational functions, Preprint, to appear in Ergodic Theory and
Dynamical Systems. http://www.impan.gov.pl/~feliksp/publ.html
P Roesch - Holomorphicmotions and puzzels (following MShishkura) to
appear in The Mandelbrotset: themes and variations, Tan Lei (Ed), CUP.
download
M. Roy, M. Urbanski, Breakdown of the real-analyticity of the Hausdorff
dimension in infinite IFS, Preprint 2003.
Mario Roy: Fibrewise expansive systems.
Topology Appl. 124, No.3, 373-396 (2002).
Mario Roy: Gibbs families for fibrewise expansive systems.
PhD-Dissertation, G\"ottingen 2000.
S Slijepcevic - Construction of invariant measures of Lagrangian maps
I: minimisation and relaxation.
download
S Slijepcevic - Extended gradient systems: dimension one to appear in
Discrete and continuous dynamical systems.
download
Oliver Schmitt: Remarks on the generator-problem. PhD-Dissertation,
G\"ottingen 2001.
Manuel Stadlbauer: The Bowen-Series map for some free groups.
PhD-Dissertation, G\"ottingen 2002.
M. Urbanski, A. Zdunik, Geometry and ergodic theory of non-hyperbolic
exponential maps, Preprint 2003.
Mariusz Urbanski, Anna Zdunik: The parabolic map ${1\over e}e^z$.
(preprint 2003)