Research articles

Proceedings, book chapters, etc

"But a counter-current of recomposition is also at work. Even as the eye looks away momentarily from the written passage, even as the local unit of textual material - the word, the sentence, the paragraph, the stanza in the poem, the scene in the play, the chapter in the novel - is receding into more or less retentive recollection, an erosion towards unity occurs. The detail is made less distinct as it enters into a largely subconscious, provisional construct of the whole. A memory trained to art will include within itself the skills of forgetting; it will smooth the sharp edges of the particular as our fingers smooth the edge of the stone before inserting it in the mosaic." (G. Steiner, Antigones)


53 Horocycle averages on closed manifolds and transfer operators (with A. Adam) (2021) arXiv and HAL, submitted for publication

52 Thermodynamic formalism for dispersing billiards (with M. Demers) (2020) arXiv and Hal, submitted

51 Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters (with D. Smania), Comm. Math. Phys. 385 1957-2007 (2021)
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.

50 On the fractional susceptibility function of piecewise expanding maps (with M. Aspenberg, J. Leppänen, and T. Persson), DCDS (2021), 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 (2021),

48 On the measure of maximal entropy for finite horizon Sinai billiard maps (with M. Demers) JAMS 33 381-449 (2020), DOI:
As the result of [Bu] is only asymptotic, the last lines of section 2.3 should be replaced by "if h _* > s0 log 2, then there exists C > 0 and M>=2 so that #Fix T^m >=Cexp(h _*m) for all m >= M [Bu, Theorem 1.5]". Footnote 36 refers to the lower bound (7.26), but it should instead refer to the upper bound (7.25).
Lemma 4.3 in Thermodynamic formalism for dispersing billiards (by the same authors, see also Remark 4.4 there) showing that L_t(C^1) is contained in the Banach space furnishes the proof of Lemma 4.9 here, which had been omitted.

47 Characteristic functions as bounded multipliers on anisotropic spaces Proceedings Amer. Math. Soc. 146 4405-4420 (2018) DOI:

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) /

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)

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

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.

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)

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: C foliations, in: Algebraic and Topological Dynamics", Sergiy Kolyada, Yuri Manin & Tom Ward (eds). Contemporary Mathematics, Amer. Math. Society, (2005) 123-136

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