75) D. FARANDA, S. VAIENTI, Extreme Value laws for dynamical systems
under observational noise, Physica D, 280–281, (2014), 86-94, arXiv:1308.5624
74) W. BASHOUN, H. HU, S. VAIENTI, Pseudo-Orbits, Stationary Measures
and Metastability, Dynamical
Systems: an International Journal, Volume 29, Issue 3, July 2014, pages 322-336, http://arxiv.org/pdf/1211.2952.pdf
73) D. FARANDA, S. VAIENTI, A new recurrences based technique for detecting
robust extrema in long temperature records, Geophysical Research Letters, 40, Issue 21, 16
November 2013, Pages: 5782–5786 arXiv:1308.5622
72) N. HAYDN, M. NICOL, S. VAIENTI, L. ZHANG, Central limit theorems for the shrinking target
problem, Journal of Statistical Physics, 153, (2013), 864-887http://arxiv.org/pdf/1305.6073.pdf
71) H. AYTAC, J.M. FREITAS, S. VAIENTI, Laws of rare events for
deterministic and random dynamical systems, Trans. Amer Math. Soc., 367 (2015), 8229-8278,
http://arxiv.org/pdf/1207.5188
70) D. FARANDA, J.-M. FREITAS, V. LUCARINI, G. TURCHETTI, S. VAIENTI, Extreme Value Statistics for Dynamical Systems
with Noise,
Nonlinearity, 26, 2597-2622, (2013),
http://arxiv.org/pdf/1208.5582
69) W. BAHSOUN, S. VAIENTI, Escape rates formulae and
metastability for randomly perturbed maps, Nonlinearity, 26 (2013)
1415–1438, http://arxiv.org/pdf/1206.3654
68) R. AIMINO, S. VAIENTI, A note on the large deviations for piecewise
expanding multidimensional maps, in Nonlinear Dynamics: New Directions, Theoretical
Aspects 1 , Edgardo Ugalde, Gelasio Salazar, Editors, Series Mathematical
Method and Modeling, Springer, 11
p. http://arxiv.org/abs/1110.5488
67) D. FARANDA, V. LUCARINI, G. TURCHETTI, S. VAIENTI, Extreme value distributions for singular
measures, Chaos,
22, 023135, (2012), 17 pages, http://arxiv.org/abs/1106.2299
66) D. FARANDA, V. LUCARINI, G. TURCHETTI, S. VAIENTI, Generalized Extreme Value distribution
parameters as dynamical indicators of Stability, International Journal of Bifurcation
and Chaos, 22, N°11, 1250276, (2012), 13 pages, http://arxiv.org/pdf/1107.5972
65) W. BASHOUN, S. VAIENTI, Metastability of certain intermittent maps, Nonlinearity, 25,
107-124, (2012), http://arxiv.org/pdf/1105.0538.pdf
64) N. HAYDN, M. NICOL, T. PERSSON, S. VAIENTI, A note on Borel-Cantelli Lemmas for
non-uniformly hyperbolic dynamical systems, Ergodic Theory and Dynamical Systems,
33, 02, 475-498, (2013), http://arxiv.org/pdf/1103.2113.pdf
63) M. GIANFELICE, F. MAIMONE, V. PELINO, S. VAIENTI, On the recurrence and robust properties of
Lorenz'63 model,
Communication in Mathematical Physics, 313, 3, 745-779,
(2012), http://arxiv.org/pdf/1103.1850.pdf
62) D. FARANDA, V. LUCARINI, G. TURCHETTI, S. VAIENTI, Numerical convergence of the block-maxima
approach to the Generalized Extreme Value distribution, Journal of Statistical Physics, 145 1156-1180, (2011)
61) J. ALVES, J. FREITAS, S. LUZZATTO, S. VAIENTI, From rates of mixing to recurrence times via
large deviations,
Advances in Mathematics, 228 (2011) 1203–123
60) G. TURCHETTI, S. VAIENTI, F. ZANLUNGO, Asymptotic distribution of global errors in the
numerical computations of dynamical systems, Physica A, 389,
(2010) pp. 4994-5006,
59) G. CRISTADORO, N. HAYDN, Ph. MARIE, S. VAIENTI, Statistical properties of intermittent
maps with unbounded derivative, Nonlinearity, 23,1071-1096, (2010)
58) G. TURCHETTI, S. VAIENTI, F. ZANLUNGO, Relaxation to the asymptotic distribution of
global errors due to rounf off, Europhys. Lett., 89, 40006,
(2010)
57) Ph. MARIE, G. TURCHETTI, S. VAIENTI, F. ZANLUNGO, Error Distribution in randomly perturbed orbits, Chaos, 19, 043118, (2009)
56) G. MANTICA, S. VAIENTI, On the statistical distribution of first-return
times of balls and cylinders in chaotic systems, International Journal of
Bifurcations and Chaos, 20, 1845-1858, (2010)
55) N. HAYDN, S. VAIENTI, The Rényi Entropy Function and the Large
Deviation of Short Return Times, Ergodic Theory and Dynamical Systems, 30, 159-179, (2010).
54) H. HU, S. VAIENTI, Absolutely continuous invariant measures for non-uniformly
expanding maps,
Ergodic Theory and Dynamical Systems, 29, 1185-1215, (2009)
53) N. HAYDN, S. VAIENTI, The compound Poisson distribution and return
times in dynamical systems, Probability Theory and Related Fields, 144,
(2009), 517-542
52) M. ABADI, S. VAIENTI, Large deviations for short recurrence, Discrete and Continuous
Dynamical Systems A, 21, (2008), 729-747
51) N. HAYDN, E. LUNEDEI, S. VAIENTI, Averaged number of visits, Chaos, 17, 033119, 13 pages,
(2007)
50) C. LIVERANI, Ph. MARIE, S. VAIENTI, Random Classical fidelity, Journal of Statistical
Physics, 128, 4, 1079-1091, (2007)
49) G. MANTICA, S. VAIENTI, The asymptotic behavior of the Fourier
transform of Orthogonal Polynomials I: Mellin transform techniques, Ann. Inst. H. Poincaré,
8, 2, (2007)
48) N. HAYDN, E. LUNEDEI, L. ROSSI, G. TURCHETTI, S. VAIENTI,
Multiple returns for some regular and mixing maps, Chaos, 15, 033109, (2005)
47) N. HAYDN, Y. LACROIX, S. VAIENTI, Hitting and return times in ergodic
dynamical systems, Annals of Probability, 33,(2005), 2040-2050
46) N. HAYDN, S. VAIENTI, Fluctuations of the metric entropy for mixing
measures , Stochastic
and Dynamics, 4, 595-627, (2004)
45) H. HU, A. RAMPIONI, L. ROSSI, G. TURCHETTI, S.VAIENTI:
Statistics of Poincaré recurrences for area-preserving maps with
integrable and ergodic components, Chaos, 14, (2004), 160-171
44) N. HAYDN, S. VAIENTI, The limiting distribution and error terms for
return time of dynamical systems, Discrete and Continuous Dynamical Systems A,
10, (2004), 584-616
43) P FERRERO, N HAYDN, S VAIENTI, Entropy fluctuations for parabolic maps, Nonlinearity, 16,
(2003), 1203-1218
42) H. BRUIN, A. LAMBERT, G. POGGIASPALLA S. VAIENTI, Numerical analysis
for a discontinuous rotation of the torus, Chaos, 13, 558-571, (2003)
41) N. BURIC, A. RAMPIONI, G. TURCHETTI, S. VAIENTI, Weak Chaos and Poincaré recurrences for area
preserving maps,
Journ. Phys. A: Math. Gen., 36, (2003), L209-L215,
Corrigendum: Journ. Phys. A: Math. Gen., 36,
(2003), 7223
40) B. SAUSSOL, S. TROUBETZKOY, S. VAIENTI, Recurrence and Lyapunov exponents, Moscow Math. Journ., 3,
(2003), 189-203
39) H. BRUIN, S. VAIENTI, Return times for unimodal maps, Forum Math., 176,
(2003), 77-94
38) H. BRUIN, B. SAUSSOL, S. TROUBETZKOY, S. VAIENTI, Return time statistics via inducing, Ergodic
theory and dynamical systems, 23, (2003), 991-1013
37) N. HAYDN, J. LUEVANO, G. MANTICA, S. VAIENTI, Multrifractal spectrum of dimensions via return
times, Phys.
Rev. Letts, 88, (2002), 224502
36) B. SAUSSOL, S. TROUBETZKOY, S. VAIENTI, Recurrence, dimensions and Lyapunov exponents , Journal Stat. Phys.,
106, (2002), 623-634
35) P. KURKA, V. PENNE', S. VAIENTI, Dynamically defined recurrence dimension, Discrete and Continuous
Dynamical Systems A, 8, (2002), 137-
34) M. HIRATA, B. SAUSSOL, S. VAIENTI, Statistics of return times: A general
framework and new applications, Communication in Mathematical Physics, 206,
33-55 (1999)
33) V. PENNE, B. SAUSSOL, S. VAIENTI, Dimensions for recurrence times: topological
and dynamical properties, Discrete and Continuous Dynamical Systems A, 4,
(1999)
32) C. LIVERANI, B. SAUSSOL, S. VAIENTI: A probabilistic approach to intermittency, Ergodic theory and
dynamical systems, 19, 671-685 (1999)
31) C. LIVERANI, B. SAUSSOL, S. VAIENTI: Conformal measures and decay of correlations
for covering weighted systems, Ergodic Theory and Dyn. Syst., 18, 1399-1420 (1998)
30) F. BRINI, S. SIBONI, G. TURCHETTI, S. VAIENTI: Decay of correlations for
the automorphisms of the torus, Nonlinearity, 10, 1257-1268 (1997)
29) S. VAIENTI, J. DUSEK: Scaling exponents for turbulent scalar fields:
analytic results, Il Nuovo Cimento B, 4, 455-469 (1995)
28) M. OULD-ROUIS, F. ANSELMET, P. LE GAL, S. VAIENTI: Statistics of temperature increments in fully
developed turbulence. Part II: experiments , Physica D, 85,
405-424, (1995)
27) S. VAIENTI, M. OULD-ROUIS, F. ANSELMET, P. LE GAL: Statistics of temperature increments in fully
developed turbulence. Part I: theory, Physica D, 73,
99-112 (1994)
26) A. BAZZANI, S. SIBONI, G. TURCHETTI, S. VAIENTI: A model of modulated diffusion II: numerical
results on statistical properties, J. Stat. Phys., 76, 969-984 (1994)
25) A. BAZZANI, S. SIBONI, G. TURCHETTI, S. VAIENTI: A model of modulated diffusion I: analytical
results, J.
Stat. Phys., 76, 928-968 (1994)
24) S. SIBONI, G .TURCHETTI, S. VAIENTI: Diffusion on the torus for hamiltonian maps, J. Stat. Phys., 75,
167-187 (1993)
23) A. LAMBERT, S. SIBONI, S. VAIENTI, Statistical properties of a non-uniformly
hyperbolic map of the interval, J. Stat. Phys., 72, 1305 (1993)
22) A. BAZZANI, S. SIBONI, G. TURCHETTI, S. VAIENTI: Diffusion in models of
modulated area-preserving maps, Phys. Rev. A, 46, 6754-6756 (1992)
21) J-M. GHEZ, E. ORLANDINI, M-C. TESI, S. VAIENTI: Dynamical integral transform on fractal sets
and the computation of entropy, Physica D, 63, 282 (1993)
20) S. VAIENTI: Ergodic properties of the
discontinuous sawtooth map, J. Stat. Phys., 67, 251-269 (1992)
19) J-M. GHEZ, S. VAIENTI: Integrated wavelets on fractal sets II: the
generalized dimensions, Nonlinearity, 3, 791-804, (1992)
18) J-M. GHEZ, S. VAIENTI: Integrated wavelets on fractal sets I: the
correlation dimension, Nonlinearity, 3, 777-790 (1992)
17) J. BELLISSARD, S. VAIENTI: Rigourous diffusion properties for the sawtooth
map, Comm. Math. Phys., 144,
521-536 (1992)
16) R. COUTINHO, R. VILELA-MENDES, R. LIMA, S. VAIENTI: Logarithmic measures, subdimensions and
Lyapunov exponents of cantori, Ann. Ist. H. Poincaré, 56, 415-427
(1992)
15) S. VAIENTI: A Frostman-like theorem for the wavelets transform on fractal
sets, Nonlinearity, 4, 1241-1249 (1991)
14) G. PALADIN, S. VAIENTI: Hausdorff dimension in two dimensional maps
and thermodynamic formalism, J. Stat. Phys., 57, 289-299 (1989)
13) J-M. GHEZ, S. VAIENTI: On the wavelet analysis for multifractal sets, J. Stat. Phys.,
57, 415-420 (1989)
12) J-D. FOURNIER, G. TURCHETTI, S. VAIENTI: Singularity spectrum of the
generalized energy integral, Phys. Lett.A, 140, 331-335 (1989)
11) S. VAIENTI: Computing the pressure for Axiom-A
attractors by time series and large deviations for the Lyapunov exponent, J. Stat. Phys.,
56, 403-413 (1989)
10) G. PALADIN, S. VAIENTI: Looking at the equilibrium measures in dynamical
systems, J. Phys. A: Math. Gen., 21,
4609-4616 (1988)
9) G. SERVIZI, G. TURCHETTI, S. VAIENTI: Pressure and fractal indices for the
Gibbs measures of hyperbolic Julia sets, J. Phys. A: Math. Gen., L639-L643, (1988)
8) G. SERVIZI, G. TURCHETTI, S. VAIENTI: Generalized dynamical variables and
measures for the Julia sets, Il Nuovo Cimento, 101B,
285-307 (1988)
7) D. BESSIS, G. PALADIN, G. TURCHETTI, S. VAIENTI: Generalized dimensions, entropies and Lyapunov
exponents from the pressure function for strange sets, J. Stat. Phys., 51,
109-134, (1988)
6) S. VAIENTI: Generalized spectra for the dimensions of strange sets, J. Phys. A: Math. Gen., 21, 2313-2320 (1988)
5) S. VAIENTI: Some properties of mixing repellers, J. Phys. A: Math. Gen., 21, 2023-2043 (1988)
4) G. TURCHETTI, S. VAIENTI: Analytical estimates of fractal and dynamical
properties for one-dimensional expanding maps, Phys. Lett., 128 A, 343-348 (1987)
3) D. BESSIS, J-D. FOURNIER, G. SERVIZI, G. TURCHETTI, S. VAIENTI: Mellin transforms of correlation integrals and
generalized dimensions of strange sets, Phys. Rev. A , 36,
920-937 (1987)
2) D. BESSIS, G. SERVIZI, G. TURCHETTI, S. VAIENTI: Mellin transforms and
correlation dimensions, Phys. Lett., 119 A, 345-347
(1987)
1) S. VAIENTI: Lyapunov exponent and bounds for the Hausdorff dimension of
Julia sets of polynomilal maps, Il Nuovo Cimento, 99B,
77-91 (1987)\\
D- PROCEEDINGS, SPECIAL ISSUES
24) Caby, T., Alberti, T., Faranda, D., Donner, R. V., Consolini,
G., Vaienti, S., and Carbone, V.: Instantaneous multiscale properties
of solar wind dynamical regimes and their attractors, EGU General
Assembly 2021, online, 19–30 Apr 2021, EGU21-8342, https://doi.org/10.5194/egusphere-egu21-8342, 2021.
23)Special Issue, Extreme Value Theory, Entropy, Editors : J-M. Freitas, S. Vaienti.
22) Special issue, Probabilistic aspects of dynamical systems, Chaos, Solitons and Fractals, Volume 133, April 2020, 109654 , Editors: W.Bahsoun, S. Galatolo, S. Troubetzkoy and S. Vaienti.
21) P. Fraunié C. Aldebert, D. Bourras, J.L. Devenon, V. Rey, A. Sentchev, V. Shrira, S. Vaienti, Ocean Surface currents climatology in North Western Mediterranean Sea,
VII International Conference \Frontiers of Nonlinear Physics", Nizhny
Novgorod, Russia, June 28-July 4, 2019.
20)C.
Aldebert, M. Baklouti, D. Bourras, T. Caby, J.L. Devenon, D. Faranda,
P. Fraunié, R. Fuchs, P. Garreau, G. Koenig, I. Pairaud, V. Rey, A.
Sentchev, V. Shrira, SVaienti, Eddy viscosity identification in the Ekman layer in North Western Mediterranean Sea, proceedings Journées Scientifiques LEFE/GMMC 2019, Toulon, Juin 2019
19) V. CALVEZ, F. PICARD, S. VAIENTI, L'interdisciplinarité en
mathématique-biologie: le rôle de la cid 51, Gazette des mathématiciens,
154, 2017
18) T. KUNA, S. VAIENTI, Special issue on mathematics for the fluid Earth, Journal of Physics A: Mathematical and Theoretical,
Volume 48, Number 14, 2015
17) Ch. KASSEL et al. Rapport de Prospective du Conseil Scientifique de l'INSMI-
Institut National des Sciences Mathématiques et de leurs
interactions,
CNRS, 2014
16) Statistical
Properties of Dynamical Systems Guest Editors: ANTHONY QUAS and
SANDRO
VAIENTI, Dynamical Systems, An International Journal,
Volume 28
Number 3 September 2013
15) I. ROSIELLO, S. VAIENTI, Validation and
Fidelity in Numerical Simulations, Proceedings of the Conference
Intérêts comparatifs et problèmes des simulations en sciences exactes
et en sciences humaines, Marseille, 4-5 Juin 2010
14) S. VAIENTI, Récurrence dans les systèmes dynamiques,
dans CHAOS ET SYSTEMES DYNAMIQUES - Elements Pour Une Epistemologie
Auteur(s) : Sara Franceschelli, Tatiana Roque, Michel Paty, Editeur : Hermann (2007)
13)
Ergodic Theory and Non-Uniform Dynamical systems, proceedings du
Colloque au CIRM en 2004, "Non-uniformly hyperbolic dynamical systems",
special issue of Discrete and Continuous Dynamical Systems A, guest
editors: Xavier Bressaud, Yves Lacroix, Carlangelo Liverani and Sandro
Vaienti, (2006).
12) L. ROSSI, G. TURCHETTI, S. VAIENTI: Poincaré
recurrences as a tool to investigate the statistical properties of
dynamical systems with integtable and mixing components,
Proceedings Carry-le-Rouet, Juin 2004, J. Phys. Conf. Ser., 7, 2005
11)
N. HAYDN, S. VAIENTI, The distribution of the measure of cylinder sets
for non-Gibbsian measures, in Complex Dynamics and related topics, New
Studies in advanced mathematics Vol 5, International Press (2004)
10)
Dynamical Systems: from cristal to chaos, Proceedings of the Conference
in honor of the 60th birthday of G. Rauzi, Marseille July 1998, J-M
Gambaudo, P Hubert, P Tisseur S Vaienti eds., World Scientific, River
Edge, 2000.
9) V. PENNE, B. SAUSSOL, S. VAIENTI, Fractal and
statistical characteristics of recurrence times, Journal de Physique
(Paris) Proceeding of the conference "Disorders and Chaos", Rome (1998).
8)
S. VAIENTI, M. OULD-ROUIS, F. ANSELMET, P. LE GAL, J. DUSEK: Statistics
of temperature increments in fully developed turbulence, in Advance in
Turbulence, R. Benzi ed., Kluwer Academic (1995)
7) F. BRINI., S.
SIBONI, G. TURCHETTI., S. VAIENTI, Decay of correlations for the
automorphism of the torus $T2". 1994.Proceedings of the Conference
Symposium on classical and quantum billiards, Ascona (Switzerland),
25-30 Luglio 1994
6) J-M. GHEZ, E. ORLANDINI, S. SIBONI, M-C. TESI,
S. VAIENTI: Wavelet transform and multientropy analysis of strange
sets, in Progress in wavelet analysis and applications, 319, Ed.
Frontiers, France (1993)
5) G. TURCHETTI, S. VAIENTI: Generalized
dimensions of strange sets and cantorian approximation, Proc. Math.
Phys. Egypt., 65, 117-143 (1992)
4) A. BAZZANI, S. SIBONI, G.
TURCHETTI, S. VAIENTI: From dynamical system to local diffusion
processes, in NATO ASI Series Volume "Chaotic Dynamics: theory and
practice", T. Bountis ed., Plenum Press, New York (1991)
3) J-M.
GHEZ, S. VAIENTI: Rigourous wavelts analysis for multifractal sets, in
Proceedings of the Conference Large Scale Structures in Nonlinear
Physics, J-D. Fournier, P. Sulem eds., 320-328, Lect. Notes Phys.,
392, (1991)
2) S. VAIENTI: Dimension of the attractors from
thermodynamical indices, in Nonlinear Dynamics, G. Turchetti ed.,
397-403, World Scientific, Singapore (1989)
1) S. VAIENTI: Energy
integrals and correlation integral for mixing repellers, in Advance in
Nonlinear Dynamics and Stochastic Processes II, G. Paladin et A.
Vulpiani eds., 47-60, World Scientific, Singapore (1897)\
E- OTHERS
- S. VAIENTI, La fédération de recherche des
unités de mathématiques de Marseille, Gazette des
mathématiciens, 93, 2002
- Bulletin de la FRUMAM, six issues since 2002
- Quand les mathématiciens se parlent, interview given to La Provence, 20-02-2001
-
Presentation of the Conference at CIRM Systèmes Dynamiques 2001:
l'odyssée dynamique, at Journal televisé de France 3 (Février 2001)
- Marseille pôle d'excellence, interview given to La Marseillaise, 27-06-2001
- Marseille, problemes de maths, interview given to Energie Sud, in La Marseillaise, 24-03-2006