supported by the PRIN project 2017S35EHN 2019-2021 “Regular and stochastic behaviour in dynamical systems”
O. Bernardi, A. Florio, J. Wiseman
The Generalized Recurrent Set, Explosions and Lyapunov Functions
Journal of Dynamics and Differential Equations
https://doi.org/10.1007/s10884-019-09788-5
Published: 31 August 2019
L. Marangio, J. Sedro, S. Galatolo, A. Di Garbo, M. Ghil
Arnold maps with noise: differentiability and non-monotonicity of the rotation number
J. Stat. Phys.179 (2020), no. 5-6, 1594-1624
https://doi.org/10.1007/s10955-019-02421-1
Published: November 2019
M. Radice, M. Onofri, R. Artuso, G. Cristadoro
Transport properties and ageing for the averaged Lévy-Lorentz gas
2019 J. Phys. A: Math. Theor.
https://doi.org/10.1088/1751-8121/ab5990
Published: 19 December 2019
A. Bianchi, M. Lenci, F. Pène
Continuous-time random walk between Lévy-spaced targets in the real line
Stochastic Process. Appl. 130 (2020), no. 2, 708-732
https://doi.org/10.1016/j.spa.2019.03.010
Published: February 2020
S. Galatolo, J. Sedro
Quadratic response of random and deterministic dynamical systems
Chaos 30 (2020), no. 2, 023113, 15 pp.
https://doi.org/10.1063/1.5122658
Published Online: 4 February 2020
M. Radice, M. Onofri, R. Artuso, G. Pozzoli
Statistics of occupation times and connection to local properties of nonhomogeneous random walks
Phys. Rev. E 101, 042103
https://doi.org/10.1103/PhysRevE.101.042103
Published: 3 April 2020
S. Marò
Diffusion and chaos in a bouncing ball problem
Zeitschrift für angewandte Mathematik und Physik ZAMP 71: 78 (2020)
https://doi.org/10.1007/s00033-020-01300-0
Published:
T. Caby, G. Mantica
Extreme value theory of evolving phenomena in complex dynamical systems: firing cascades in a model or a neural network
Chaos 30 (2020) 043118
https://www.doi.org/10.1063/1.5120570
Published: April 2020
C. Bonanno, S. Isola
Series expansions for Maass forms on the full modular group from the Farey transfer operators
Journal of Number Theory, 210 (2020), 183--230
https://doi.org/10.1016/j.jnt.2019.09.009
Published: May 2020
Oliver Butterley, Lucia D. Simonelli
Parabolic Flows Renormalized by Partially Hyperbolic Maps
Boll. Unione Mat. Ital., 13: 341–360, 2020.
https://doi.org/10.1007/s40574-020-00235-8
Published: 13 June 2020
S. Galatolo, M. Monge, I. Nisoli
Existence of noise induced order, a computer aided proof
Nonlinearity 33 (2020), no. 9, 4237-4276
https://doi.org/10.1088/1361-6544/ab86cd
Published: July 2020
S. Marò, V. Ortega
Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex
Journal of Differential Equations 269: 3624-3651 (2020)
https://doi.org/10.1016/j.jde.2020.03.009
Published: 5 August 2020
G. Cristadoro, M. Degli Esposti, E. G. Altmann
Dynamics of transposable elements generates structure and symmetries in genetic sequences
Phys. Rev. Research 2, 033477 (2020)
https://doi.org/10.1103/PhysRevResearch.2.033477
Published: 23 September 2020
C. Carminati, S. Marmi, D. Sauzin, A. Sorrentino
On the regularity of Mather's β-function for standard-like twist maps
Advances in Mathematics 377 (2021), no. 107460
http://dx.doi.org/10.1016/j.aim.2020.107460
Published: October 2020
M. Onofri, G. Pozzoli, M. Radice, R. Artuso
Exploring the Gillis model: a discrete approach to diffusion in logarithmic potentials
J. Stat. Mech, 11 (2020) 113201
https://www.doi.org/10.1088/1742-5468/abbed6
Published: November 2020
G. Pozzoli, M. Radice, M. Onofri, R. Artuso
A continuous-time random walk extension of the Gillis model
Entropy 22 (2020) 1431
https://www.doi.org/10.3390/e22121431
Published: December 2020
G. Mantica
CT-scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems
Commun.Nonlinear Sci. and Numer. Simul. 91 (2020) 105410
https://www.doi.org/10.1016/j.cnsns.2020.105410
Published: December 2020
C. Bonanno, A. Del Vigna, S. Munday
A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs
Monatshefte für Mathematik 194 (2021), 1-40
https://doi.org/10.1007/s00605-020-01500-w
Published: January 2021
G. Del Magno, J. Lopes Dias, P. Duarte, J.P. Gaivão
Hyperbolic polygonal billiards close to 1-dimensional piecewise expanding maps
J. Stat. Phys. 182 (2021), no. 1, no. 11
http://dx.doi.org/10.1007/s10955-020-02673-2
Published: January 2021
D. Dolgopyat, M. Lenci, P. Nándori
Global observables for RW: law of large numbers
Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), no. 1, 94-115
http://dx.doi.org/10.1214/20-AIHP1072
Published: February 2021
C. Bonanno, M. Lenci
Pomeau-Manneville maps are global-local mixing
Discrete Contin. Dyn. Syst. 41 (2021), no. 3, 1051-1069
https://doi.org/10.3934/dcds.2020309
Published: March 2021
C. Carminati, G. Tiozzo
The bifurcation locus for numbers of bounded type
Ergodic Theory and Dynamical Systems, in press
http://dx.doi.org/10.1017/etds.2021.28
Published: April 2021
S. Stivanello, G. Bet, A. Bianchi, M. Lenci, E. Magnanini
Limit theorems for Lévy flights on a 1D Lévy random medium
Electron. J. Probab. 26 (2021), article no. 57, 1-25
http://dx.doi.org/10.1214/21-EJP626
Published: May 2021
S. Isola
Musica, scienza e seconda natura
Lexicon Philosophicum 8 (2021), 235-244
https://doi.org/10.19283/lph-20208.650
Published: May 2021
C. Carminati, N. Langeveld, W. Steiner
Tanaka-Ito alpha-continued fractions and matching
Nonlinearity 34 (2021), no. 6, 3565-3582
http://dx.doi.org/10.1088/1361-6544/abef75
Published: June 2021
S. Isola
Le armonie celesti e il metodo scientifico
ArteScienza, Anno VIII, n. 15, giugno 2021, pp. 7-28
https://doi.org/10.30449/AS.v8n15.13
Published: June 2021
C. Bonanno, S. Marò
Chaotic motion in the breathing circle billiard
Annales Henri Poincaré 23 (2022), no. 1, 255-291
https://doi.org/10.1007/s00023-021-01090-9
Published: July 2021
G. Panti, D. Sclosa,
The finiteness conjecture holds in SL(2,Z>=0)^2
Nonlinearity 34 (2021), no. 8, 5234-5260
https://doi.org/10.1088/1361-6544/ac0484
Published: July 2021
O. Bernardi, A. Florio, J. Wiseman
A Conley-type Lyapunov function for the strong chain recurrent set
Topology Appl. 302 (2021), paper no. 107768
https://doi.org/10.1016/j.topol.2021.107768
Published: September 2021
C. Bonanno, A. Del Vigna
Representation and coding of rational pairs on a Triangular tree and Diophantine approximation in R^2
Acta Arithmetica 200 (2021), no. 4, 389-427
https://doi.org/10.4064/aa200820-3-3
Published: October 2021
S. Isola
On the relationships between ancient exact science and musical acoustics
Rendiconti Lincei. Scienze Fisiche e Naturali 32 (2021), pp. 817-839
https://doi.org/10.1007/s12210-021-01026-9
Published: October 2021
S. Galatolo, H. Marsan
Quadratic response and speed of convergence of invariant measures in the zero-noise limit
Discrete Contin. Dyn. Syst. 41 (2021), no. 11, 5303-5327
https://doi.org/10.3934/dcds.2021078
Published: November 2021
G. Pozzoli, B. De Bruyne
Survival probability of random walks leaping over traps
J. Stat. Mech. (2021) 123203
Published 23 December 2021
T. Chihara, Y. Sato, I. Nisoli, S. Galatolo
Existence of multiple noise-induced transitions in Lasota-Mackey maps
Chaos 32 (2022), no. 1, no. 013117
https://doi.org/10.1063/5.0070198
Published: January 2022
G. Panti
Attractors of dual continued fractions
J. Number Theory, in press
https://doi.org/10.1016/j.jnt.2021.12.011
Published: January 2022
G. Casati, G. Mantica
Caos Chaos
Giornale di Fisica LXII (2021) 461
https://doi.org/10.1393/gdf/i2022-10420-6
Published online 7 February 2022
S. Galatolo, A. Sorrentino
Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle
Discrete Contin. Dyn. Syst. 42 (2022), no. 2, 815-839
https://doi.org/10.3934/dcds.2021138
Published: February 2022
R. Artuso, M.Onofri, G. Pozzoli, M. Radice
Extreme value statistics of positive recurrent centrally biased random walks
J. Stat. Mech. (2022) 103209
https://doi.org/10.1088/1742-5468/ac98bd
Published 31 October 2022
C. Bonanno, G. Cristadoro, M. Lenci
Maximal escape rate for shifts
Discrete Contin. Dyn. Syst., 42 (2022), no. 12, 6007-6029
Published: December 2022
D. Galli, M. Lenci
Extensions of exact and K-mixing dynamical systems
J. Stat. Phys. 190 (2023), no. 1, Paper No. 21, 15 pp.
DOI: 10.1007/s10955-022-03039-6
Published: January 2023
Oliver Butterley, Niloofar Kiamari, Carlangelo Liverani
Locating Ruelle-Pollicott resonances
Nonlinearity, Volume 35, Number 1, 513, 2022
Oliver Butterley, Giovanni Canestrari, Sakshi Jain
Discontinuities cause essential spectrum
Commun. Math. Phys., 398, 627-653, 2022
Bernardi, O., Florio, A. & Wiseman, J.
Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism?.
Boll Unione Mat Ital 16, 153–162 (2023).