Jérôme Buzzi - Publications

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Dynamical systems:

Entropy Theory on the Interval (minicourse, 40p.)
Abstract PDF
Puzzles of Quasi-Finite Type, Zeta Functions and Symbolic Dynamics for Multi-Dimensional Maps, 38p.
Abstract PDF PS
with Mike Boyle and Ricardo Gomez:
Good potentials for almost isomorphism of countable state Markov shifts
Abstract PDF
with Mike Boyle and Ricardo Gomez:
Almost isomorphism for countable state Markov shifts
Journal für die reine und angewandte Mathematik, 592 (2006).
Abstract Abstract PDF
Entropy of equilibrium measures for continuous piecewise monotonic maps.
Stochastics and dynamics (proc. Warwick Conference in honor of K. Schmidt and P. Walters), 4 (2004), no. 1, 84--94.
Abstract PDF
Subshifts of quasi-finite type.
Invent. Math., 159 (2005), no. 2, 369--406.
Abstract preprint version Published version
Markov partitions for piecewise monotonic maps
Preprint 2003.
Abstract PDF
with O. Sarig:
Uniqueness of equilibrium measures for countable Markov shifts and multi-dimensional piecewise expanding maps
Prépublication de l'I.H.E.S. M/01/55 (2001)
Abstract PDF
Ergodic th. and dynam. syst. 23 (2003), 1383-1400.
with V. Maume-Deschamps:
Decay of correlations for piecewise invertible maps in higher dimensions
Prépublication 202 du Laboratoire de Topologie (1999) (Dijon)
Revised version (2001):
- Part I, piecewise expanding maps: Abstract PDF (Israel J. Math., 131 (2002), 203-220).
- Part II, towers: Abstract PDF (Discrete Continuous Dynam. Syst., 12 (2005), no. 4, 639--656.
with S. Ruette:
Large topological entropy implies existence of measures with maximal entropy,
The case of interval maps.
Discrete and Continuous Dynamical Systems - Series A 14 (2006), no. 4, 673--688.
Abstract PDF
with P. Hubert:
Piecewise monotone maps without periodic points: rigidity, measures and complexity,
Preprint IML 2001-27
Abstract PDF
Ergodic th. and dynam. syst. 24 (2004), no. 2, 383--405.
The coding of non-uniformly expanding maps with an application to endomorphisms of CP^k,
Preprint CMAT 2001-04.
Abstract PDF 173K
Ergodic th. and dynam. syst. 23 (2003), 1015 - 1024.
Some remarks on random zeta functions
Ergodic th. and dynam. syst. 22 (2002), 1031--1040.
Abstract PS
with O. Sester, M. Tsujii:
Weakly expanding skew-products of quadratic maps
Ergodic th. dynam. syst. 23 (2003), 1401 - 1414. Abstract PDF
No or infinitely many a.c.i.p. for piecewise expanding C^r maps in higher dimensions
Commun. Math. Phys. 222 (2001), 495-501.
Abstract PS
On entropy-expanding maps
Preprint with comments and supplement
Piecewise isometries have zero topological entropy
Ergodic th. and dynam. syst. 21 (2001), 1371-1377.
Abstract PS
Correction to Remark 4 thanks to B. Kruglikov
with K. Johnson:
Beta-transformations with a non-Markovian part carrying a given rotation
Abstract PS
with F. Paccaut and B. Schmitt:
Conformal measures for multidimensional piecewise invertible maps
Ergodic th. and dynam. syst. 21 (2001), 1035--1049.
Abstract PS107K
with Gerhard Keller:
Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps.
Ergodic th. and dynam. syst. 21 (2000), 689--716.
Preprint version: Abstract PS
Thermodynamical formalism for piecewise invertible maps:
absolutely continuous invariant measures as equilibrium states
in Smooth ergodic theory and its applications (Seattle, WA, 1999), 749--783,
Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI, 2001.
Abstract PS
Entropy, volume growth and Lyapunov exponents
Sur une généralisation de la notion de rang un définie par le pistage
Preprint (1997) de l'I.M.L..
PS Abstract
Piecewise expanding and real-analytic mappings of the plane,
Ergodic th. and dynam. syst. 20 (2000), 697--708.
Preprint version: PS Abstract
Exponential decay of correlations for random Lasota-Yorke maps,
Commun. Math. Phys. 208, 25--54 (1999).
Original publication: (c) Springer-Verlag
Preprint version: PS Abstract
S.R.B. measures for random Lasota-Yorke maps,
Trans. Amer. Math. Soc. 352 (2000), 3289--3303.
Preprint version: PS Abstract
Markov extensions for multi-dimensional dynamical systems,
Israel J. Math., 112 (1999), 357-380.
Preprint version: PS Abstract
A.c.i.m.'s for generic piecewise expanding and affine maps,
Int. J. Bif. & Chaos, 9 (1999), 1743-1750.
Abstract
Preprint version: PS
Ergodicité intrinsèque de produits fibrés d'applications unidimensionnelles chaotiques,
Bull. Soc. Math. France, 126 (1998), 51-77.
Preliminary english version: PS Abstract
Intrinsic ergodicity of affine maps in [O,1]**d,
Monat. fur Math., 124 (1997), 97-118.
Specification on the interval,
Trans. Amer. Math. Soc., 349 (1997), 2737-2754.
Intrinsic ergodicity for smooth interval maps,
Israel J. Math., 100 (1997), 125-161.
Number of equilibrium states for piecewise monotonic maps on the interval,
Proc. Amer. Math. Soc., 123 (1995); Erratum, 125 (1997).
Entropies et représentations markoviennes d'applications régulières de l'intervalle,
Ph.D. thesis, Université Paris-Sud (Orsay).

Image processing and analysis:

with F. Guichard:
Automatic zoom detection.
IEEE International Conference on Image Processing, vol. 5 (2004) pp 2981-2984.
PDF IEEE
with F. Guichard:
Uniqueness of blur measure.
IEEE International Conference on Image Processing, vol. 5 (2004) 2985- 2988.
PDF IEEE
with F. Guichard:
Noise in imaging chains: correlations and predictions.
IEEE International Conference on Image Processing, 2005.
PDF
with F. Guichard:
Idempotence and automatic linear contrast enhancements.
IEEE International Conference on Image Processing, 2005.
PDF

Updated on March 29, 2006.

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