56 Thermodynamic formalism for piecewise expanding maps in finite dimension (with R. Castorrini) (2023) arXiv and HAL, DCDS (2024) doi:10.3934/dcds.2024023
55 A parameter ASIP for the quadratic family (with M. Aspenberg and T. Persson) (2022) arXiv and HAL, submitted
54 Measure of maximal entropy for finite horizon Sinai billiard flows (with J. Carrand and M. Demers) (2022) arXiv and Hal, to appear Ann. H. Lebesgue
53
Horocycle averages on closed manifolds and transfer operators
(with A. Adam) Tunisian J. Math 4 387-441 (2022)
doi:10.2140/tunis.2022.4.387
52
Thermodynamic formalism for dispersing billiards
(with M. Demers)
J. Mod. Dynam. 18 415-493 (2022) doi:10.3934/jmd.2022013
51
Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters
(with D. Smania),
Comm. Math. Phys. 385 1957-2007 (2021)
https://doi.org/10.1007/s00220-021-04015-z
In the "second fact" in the proof of Lemma 5.3 (when referring
to Thm 1.1 in [18]) the L_1 norm in the rhs should be a sup norm. There is a factor 2 missing in the first term of (40)
and in the first term of the line above it.
See here for correcting typos in formula (50).
50 On the fractional susceptibility function of piecewise expanding maps (with M. Aspenberg, J. Leppänen, and T. Persson), DCDS 42 (2022) 679-706, doi:10.3934/dcds.2021133
49 There are no deviations for the ergodic averages of the Giulietti-Liverani horocycle flows on the two-torus ETDS 42 Anatole Katok Memorial Issue Part 1 (2022) 500-513, https://doi.org/10.1017/etds.2021.17
48
On the measure of maximal entropy for finite horizon Sinai billiard maps
(with M. Demers)
JAMS 33 381-449 (2020), DOI:https://doi.org/10.1090/jams/939
(Fixing some typos)
47 Characteristic functions as bounded multipliers on anisotropic spaces Proceedings Amer. Math. Soc. 146 4405-4420 (2018) DOI: https://doi.org/10.1090/proc/14107
46 The quest for the ultimate anisotropic Banach space J. Stat. Phys. 166 525-557 (2017) (volume in honour of Ruelle and Sinai) (DOI) 10.1007/s10955-016-1663-0 (Corrections and complements) 170 1242-1247 (2018) /doi.org/10.1007/s10955-018-1976-2
45 Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables (with T. Kuna and V. Lucarini) Nonlinearity 30 1204-1220 (2017) DOI: 10.1088/1361-6544/aa5b13, Corrigendum Nonlinearity 30 C4-C6 (2017) doi.org/10.1088/1361-6544/aa7768
44 Linear response for intermittent maps (with M. Todd) Comm. Math. Phys. 347 857-874 (2016) DOI: 10.1007/s00220-016-2577-z
43
Exponential decay of correlations for finite horizon Sinai billiard flows
(with M. Demers and C. Liverani)
Invent. Math.
211 39-177 (2018) DOI 10.1007/s00222-017-0745-1
Minor corrections
42
Whitney-Holder continuity of the SRB measure for transversal families of
smooth unimodal maps (with M. Benedicks and D. Schnellmann)
Invent. Math. 201 773-844 (2015) doi 10.1007/s00222-014-0554-8
(There is a typo in (49) which should hold for all k < M.)
(The last claim of Thm 1.3 follows "immediately" from Lemma 4.6 if one
replaces mu_t by Lebesgue in the first and third integrals.
To get the
bound as stated, use that the density of
mu_j is in some Sobolev space H^s_p for s in (0,1/2) and
p>1, and mollify. See e.g. Lemma 14 and Thm 10 in Sedro,
Nonlinearity, 2021.)
41 Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps (with S. Marmi and D. Sauzin) ETDS 34 (2014) 777-800 doi:10.1017/etds.2012.161
40 Exponential decay of correlations for piecewise cone hyperbolic contact flows (with C. Liverani) Comm. Math. Phys. 314 (2012) 689-773, (DOI) 10.1007/s00220-012-1538-4
39
Linear response for smooth deformations of generic nonuniformly
hyperbolic unimodal maps
(with D.
Smania)
Ann. ENS 45 (2012) 861-926.
3 comments
38 Banach spaces for piecewise cone hyperbolic maps (with S. Gouëzel) J. Modern Dynam., 4 (2010) 91-137
37 Alternative proofs of linear response for piecewise expanding unimodal maps (with D. Smania) (2010) Ergodic Theory Dynamical Systems 30 1-20 doi:10.1017/S0143385708001077 Published version (Copyright Cambridge University Press)
36 Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps (with D. Smania) Proc. Amer. Math. Soc. 137 (2009) 1431-1437
35 Good Banach spaces for piecewise hyperbolic maps via interpolation (with S. Gouëzel) Annales de l'Institut Henri Poincaré / Analyse non linéaire 26 (2009) 1453-1481 DOI: 10.1016/j.anihpc.2009.01.001
34 Smooth deformations of piecewise expanding unimodal maps, (with D. Smania) DCDS Series A 23 (2009) 685-703
33
Linear response formula for piecewise expanding unimodal maps,
(with D. Smania)
Nonlinearity , 21 (2008) 677-711
Corrigendum (Nonlinearity 25 (2012) 2203-2205)
(The
end of the proof of Thm 7.1 is amended: the claim about dense
postscritical orbits is that "there exists a sequence" tn, not "for
all sequences")
32 On the susceptibility function of piecewise expanding interval maps, Comm. Math. Phys. 275 (2007) 839-859
31
Dynamical determinants and spectrum for hyperbolic diffeomorphisms,
(with M. Tsujii) pp. 29--68, in Probabilistic and Geometric Structures in Dynamics,
K. Burns, D. Dolgopyat and Ya. Pesin (eds),
Contemp. Math. 469 (Amer. Math. Soc.), Volume in honour of M.
Brin's 60th birthday (2008).
In line 11 of p. 63, both sides should be multiplied with
a bounded function and integrated with respect to $y$
(the bound obtained from (4.24) is not a pointwise bound on the kernel).
30 A local limit theorem with speed of convergence for euclidean algorithms and diophantine costs, (with A. Hachemi) Ann. I.H.P. prob. stat. 44 (2008) 749-770. published arxiv version
29 Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms, (with M. Tsujii) Ann. Inst. Fourier, 57 (2007) 127-154
28
Anisotropic Sobolev spaces and dynamical transfer operators:
27 Exponential decay of correlations for surface semi-flows without finite Markov partitions, (with B. Vallée) Proc. Amer. Math. Soc. , 133 (2005) 865-874
26 A note on stretched exponential decay of correlations for the Viana-Alves map, (with S. Gouëzel) Preprint, arXiv:math.DS/0311189 (2003)
25 Euclidean algorithms are Gaussian, (with B. Vallée) J. Number Theory , 110 (2005) 331-386
24 Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting, (with E. Pujals and M. Sambarino) J. Inst. Math. de Jussieu, 4 (2005) 175-218, copyright Cambridge University Press
23 Kneading determinants and spectra of transfer operators in higher dimensions, the isotropic case, (with M. Baillif) Ergodic Theory Dynam. Systems, 25 (2005) 1437-1470
22 Dynamical determinants via dynamical conjugacies for postcritically finite polynomials, (with H.-H. Rugh and Y. Jiang) J. Stat. Phys., 108, 973-993 (2002)
21 Floquet spectrum of weakly coupled map lattices, (with H.-H. Rugh) Comm. Math. Phys., 220, 561-582 (2001)
20 Almost sure rates of mixing for i.i.d. unimodal maps, (with M. Benedicks and V. Maume-Deschamps) Ann. E.N.S., 35 77-126 (2002); Corrigendum Ann. E.N.S., 36 319-322 (2003), Corrigendum 2010 and 2017
19 Approximation of nonessential spectrum of transfer operators, (with M. Holschneider) Nonlinearity, 12, 525-538 (1999)
18 The spectrum of weakly coupled map lattices, (with M. Degli Esposti, S. Isola, E. Järvenpää, and A. Kupiainen) Journal de Mathématiques Pures et Appliquées, 77, 539-584 (1998)
17 Abnormal escape rates from nonuniformly hyperbolic sets, (with C. Bonatti and B. Schmitt) Ergodic Theory Dynamical Systems, 19, 1111-1125 (1999)
16 Correlation spectrum of quenched and annealed equilibrium states for random expanding maps, Comm. Math. Phys., 186, 671-700 (1997)
15Sharp determinants and kneading operators for holomorphic maps (with A. Kitaev, D. Ruelle, and S. Semmes), Proc. Steklov Math. Inst. 216, 186-228 (1997)
14 Lyapunov exponents for non-classical multidimensional continued fraction algorithms (with A. Nogueira), Nonlinearity, 9, 1529-1546 (1996)
13
Random correlations for small
perturbations of expanding maps
(with A. Kondah and B. Schmitt),
Random & Comput. Dyn.,
4, 179-204 (1996)
(Above Lemma 3.2, "by some M_γ" should be replaced by
"by M_γ φ(x) for some M_γ", the Hölder constant being local at x.)
12 Strong stochastic stability and rate of mixing for unimodal maps (with M. Viana), Ann. scient. Ec. norm. sup. (4) 29, 483-517 (1996)
11 Transfer operators acting on Zygmund functions (with Y. Jiang and O.E. Lanford III), Trans. Amer. Math. Soc. 348, 1599-1615 (1996)
10 Sharp determinants (with D. Ruelle), Invent. Math. 123, 553-574 (1996)
9 Transfer operators for piecewise affine approximations of interval maps (with S. Isola and B. Schmitt), Annales Inst. H. Poincaré (phys. théor.) 62, 251-266 (1995)
8 Infinite kneading matrices and weighted zeta functions of interval maps, J. Functional Analysis 128, 226-244 (1995)
7 An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps (with D. Ruelle), Ergodic Theory Dynamical Systems 14, 621-632 (1994)
6 On the spectra of randomly perturbed expanding maps (with L.-S. Young), Comm. Math. Phys 156, 355-385 (1993), Erratum, Comm. Math. Phys 166, 219-220 (1994)
5 Renormalization on the n-dimensional torus (with D. Rockmore, N. Tongring, and C. Tresser), Nonlinearity 5, 1111-1137 (1992)
4 Optimality of Ruelle's bound for the domain of meromorphy of generalized zeta functions, Portugaliae Mathematica 49, 69-83 (1992)
3 Gibbs states and equilibrium states for finitely presented dynamical systems, J. Stat. Phys. 62, 239-256 (1991)
2 Zeta functions and transfer operators for piecewise monotone transformations (with G. Keller), Comm. Math. Phys. 127, 459-479 (1990)
1 Resonances for intermittent systems (with J.-P. Eckmann and D. Ruelle), Nonlinearity 2, 119-135 (1989)
Conference proceedings, book chapters etc.
y Dynamical zeta functions and dynamical determinants for hyperbolic maps, Springer Ergebnisse, 2018, front and backmatter on Mittag-Leffler preprint server (Fractal Geometry and Dynamics Program, Fall 2017) , Erratum
x Dynamical zeta functions Graduate course, Orsay, 2002
w Linear response, or else Proceedings of the International Congress of Mathematicians-Seoul 2014. Vol. III. Invited lectures. 525-545. Papers from the congress (ICM 2014) held August 13-21, 2014. Edited by Sun Young Jang, Young Rock Kim, Dae-Woong Lee and Ikkwon Yie. Kyung Moon Sa, Seoul, 2014. vii+1250 pp. ISBN: 978-89-6105-806-3; 978-89-6105-803-2
v Linear response despite critical points , Nonlinearity 21 T81-T90 (2008)
u Dynamics beyond uniform hyperbolicity: Linear response in the absence of structural stability , to appear Proceedings Equadiff 2007
t Regularisation for dynamical zeta functions, in Encyclopedia of Mathematical physics, ed. J-P Francoise, G. Naber, Sh. Tsun Tsou, Elsevier (2006) (Vol 4 pp 386-390)
s Spectra of differentiable hyperbolic maps (with M. Tsujii) in "Traces in number theory, geometry and quantum fields", S. Albeverio, M. Marcolli, S. Paycha (eds), Aspects of Mathematics E38, pp. 1-21, Vieweg Verlag 2008; proceedings MPIM Bonn 2005. (Preliminary version: Course given at IHP workshop , 2005)
r Distributional analyses of Euclidean algorithms (with B. Vallée) Proceedings ANALCO04 pp 170-184
q Résonances dans les systèmes hyperboliques et hamiltoniens notes de cours, 2003 Resonances in hyperbolic and hamiltonian systems has appeared in "Harmonic analysis and rational approximation - an outgrowth of the 2003 Porquerolles summer school" Springer Lecture Notes in Control and Information Sciences, vol 327 (2006)
p Stretched exponential bounds for the correlations of the Viana-Alves skew product (with S. Gouëzel) preprint 2002
o Kneading determinants and transfer operators in higher dimensions, ( Erratum ) Mandelbrot Jubilee, Proceedings of Symposia in Pure Mathematics, Amer. Math. Soc., Vol. 72,part. 2, pp. 407-417, 2004 (AMS-SMF conference Lyons 2001)
n Dynamical zeta functions and kneading operators, Course notes, New Directions in Dynamical Systems, Kyoto, 2002,
m Finite-dimensional functional analysis applied to transfer operators for infinite-dimensional maps, Proceedings Journées Systèmes Aléatoires Inhomogènes, (January 2001, Université de Cergy-Pontoise, France), session on Rapidity of convergence to equilibrium or stationary states, Markov Processes and Related Fields, 8, 149-154 (2002).
l Spectrum and Statistical Properties of Chaotic Dynamics, Proceedings Third European Congress of Mathematics, 203-224 Barcelona 2000, Birkhauser (2001)
k Positive Transfer Operators and Decay of Correlations, Book Advanced Series in Nonlinear Dynamics, Vol 16, World Scientific, Singapore (2000) - Erratum
j Decay of random correlation functions for unimodal maps, (with M. Benedicks and V. Maume-Deschamps) Proceedings 31st Symposium on Mathematical Physics, May 18-21 1999, Torun, Reports on Mathematical Physics, 46, 15-26 (2000)
i Decay of correlations, 1999 AMS Summer Institute on Smooth ergodic theory and applications, Seattle, Proc. Symposia in Pure Math. Vol. 69, AMS (2001), pp 297-325
h Periodic orbits and dynamical spectra, Ergodic Theory Dynamical Systems, 18, 255-292 (1998)
g The Magnet and the Butterfly: Thermodynamic formalism and the ergodic theory of chaotic dynamics, in: Développement des mathématiques au cours de la seconde moitié du XXe siècle, Birkhauser, Basel (2000) (Postscript file also available without figures )
f A brief introduction to dynamical zeta functions, in: DMV-Seminar 27, Classical Nonintegrability, Quantum Chaos, by A. Knauf and Ya.G. Sinai, Birkhäuser, 3-20 (1997)
e Dynamical zeta function and generalised Fredholm determinants (with a joint Appendix with D. Ruelle: Some properties of zeta functions associated with maps in one dimension), XIth International Congress of Mathematical Physics (Paris 1994), Internat. Press, Cambridge, 249-260 (1995)
d Dynamical zeta functions, Proceedings of the NATO ASI "Real and Complex Dynamical Systems" (1993), B. Branner and P. Hjorth, editors, Kluwer Academic Publishers, Dordrecht, 1-26 (1995)
c Comment compter avec les fonctions zêta?, Gazette des Mathématiciens, 47, 79-96 (1991)
b Fonctions zêta,
fonctions de corrélation et états d'équilibre
pour quelques systèmes dynamiques non Axiome A,
Ph.D Thesis, University of Geneva, 98 pages (1989)
a A program for
computing Puiseux expansions
(with J.-P. Guillement),
SIGSAM Bulletin 24, 33-41 (1990)
For preprints consult the
mp_archive
and
arXiv
Viviane Baladi