Publications

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

DOI 10.1088/1742-5468/ac3e6f

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

DOI: 10.3934/dcds.2022135

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

https://doi.org/10.1088/1361-6544/ac3ad5

Oliver Butterley, Giovanni Canestrari, Sakshi Jain

Discontinuities cause essential spectrum

Commun. Math. Phys., 398, 627-653, 2022

https://doi.org/10.1007/s00220-022-04531-6

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).

https://doi.org/10.1007/s40574-022-00334-8