Curriculum Vitae

Personal information

• Name: Stefano Galatolo

• Born in Livorno (It) 13/04/1969

• Citizenship: Italian

• Languages: Italian, English , French

• Home page: http://users.dma.unipi.it/galatolo/

Education habilitation

• 1997: Italian graduation (Laurea) "cum laude" in Mathematics with a thesis titled "Complessita' dei Nodi" (Complexity of Knots), advisors: R. Benedetti, F. Lazzeri, University of Pisa.

• 2002: PhD in Mathematics with a thesis titled "Information, Complexity and weak Chaos in Dynamical Systems. Theory and measurement methods", advisor: V. Benci, University of Pisa.

• 2013: Italian National habilitation for the position of associate professor in Mathematical analysis.

• 2014: Italian National habilitation for the position of full professor in Mathematical analysis.

Current position

• Since may 2015: Associate Professor at Department of Mathematics, University of Pisa.

   Previous positions

• 2002: Research collaborator, projects "Cluster15 - Piano Tecniche per Immagini" and "Metodi variazionali e topologici per lo studio dei fenomeni non lineari" (granted by italian ministry of research).

• 2002-2004: Assegno di ricerca (postdoc) at Univ. Pisa.

• 2004-2015: Ricercatore Universtitario (Assistant Professor) at Department of Mathematics, University of Pisa.

Fellowships and visiting positions

• 1992: Erasmus fellowship, "Universite Pierre et Marie Curie" Paris (Fr)

• April 2008: Professeur invitè at Ecole Normale Superieure Paris, dept. of computer science (Fr)

• April 2009: Professeur invitè at Université Bretagne Occidentale, Laboratoire de Mathematique (Fr)

• July 2010: Professeur invitè at Université Bretagne Occidentale, Laboratoire de Mathematique (Fr)

• August 2010: Visiting researcher. IMPA, Rio de Janeiro (Br)

• July 2012: Professeur invitè at Université Bretagne Occidentale, Laboratoire de Mathematique (Fr)

• October 2013: Visiting Researcher. Newton Institute, Cambridge (UK)

• April 2016: Visiting Researcher. ICERM, Brown University (USA)

Recent funded projects

• 2011: research project “Approssimazione rigorosa delle misure invarianti” funded by GNAMPA/INdAM, italian national institute for advanced mathematics. Principal investigator.

• 2011 ISCRA (italian high performance computing resources) research project "Rigorous Approximation of Invariant Measures in Dynamical Systems". Principal investigator.

• 2013 Lond. Math. Soc. Grant Award 41216. Investigator.

• 2013-2017: EU Marie-Curie IRSES “Brazilian-European partnership in Dynamical Systems” (FP7-PEOPLE-2012-IRSES 318999 BREUDS): participant and scientific coordinator for the Pisa unit.

• 2014-2017 Leverhulm Trust grant IN-2014-021, “Statistical properties of non uniformly hyperbolic dynamical systems: computer assisted proofs and rigorous computation.” investigator.

Institutional, editor responsabilities.

• Since 2013: Scientific committee of Matematita (Inter-university centre for research, communication and informal teaching of Mathematics)

• 2013-2017: IRSES (Marie Curie Actions) project BREUDS: scientific coordinator for Pisa unit.

• Since 2012 Editor for Chaos Solitons and Fractals (Elsevier)

• Since 2014 Section Editor for Journal of Fixed Point Theory and Applications (Birkhäuser Basel)

• Since 2013 Editorial board member of Discontinuity, Nonlinearity, and Complexity (L&H sci. pub.)

• Since 2016 Director of Centro Interdipartimentale per lo Studio dei Sistemi Complessi (Interdepartmental centre for the study of complex systems, Univ. Pisa)

• 2017 Director of the specialization course “Specialisti delle tecnologie per il digital Advertising” University of Pisa.

PhD. students advised

• Mathieu Hoyrup, Universite Paris Diderot-Paris VII, 2008 (in cotutorship with G. Longo, ENS Paris)

• Cristobal Rojas , École Polytechnique, 2008 (in cotutorship with G. Longo, ENS Paris)

• Rafael Lucena, Univ. Fed. Rio de Janeiro, 2015 (in cotutorship with Maria Jose Pacifico, UFRJ)

Currently advising

• Ricardo Bioni Liberalquino, Univ. Fed. Rio de Janeiro (in cotutorship with Maria Jose Pacifico, UFRJ)

• Luigi Marangio, Université de Bourgogne Franche-Comté (in cotutorship with Christophe Guyeux, univ-fcomte)

Participation to thesis committee

• C. Maldonado, École Polytechnique, 2012 (commitee)

Conferences recently organized

• “School on Computation and Computability in Dynamics” ICTP, Trieste, 2014

• “Computation in Dynamics”, ICERM, Brown University, USA, 2016

• “Chaotic phenomena in mathematical models”, Centro De Giorgi, Pisa, 2016

• “Ergodic Theory, Algorithms and Rigorous Computations”, Warwick Univerisity, 2017

I usually speak in conferences, workshop or invited seminars several times every year. Let me only mention two 6 hours minicurses for graduate summer schools at Hokkaido University

• “Hokkaido University Summer Institute: Introduction to dynamical systems”, 2017

• “Lectures on Differential Equations and Differential Geometry”, 2015

The lecture notes of such courses are available at arXiv:1510.02615.

10 selected published papers

1. S. Galatolo, M. Pollicott. Controlling the statistical properties of expanding maps. Nonlinearity (2017)

2. S. Galatolo, I. Nisoli. Rigorous computation of invariant measures and fractal dimension for maps with contracting fibers: 2D Lorenz-like maps Erg. Th. Dyn. Sys (2016)

3. S. Galatolo, J Rousseau , B Saussol. Skew products, quantitative recurrence, shrinking targets and decay of correlations Erg. Th. Dyn. Sys (2014)

4. S. Galatolo, I Nisoli. An elementary approach to rigorous approximation of invariant measures SIAM J. Appl Dyn Sys. (2014)

5. S. Galatolo, M. Hoyrup, C. Rojas. Dynamics and abstract computability:computing invariant measures Discrete Contin. Dyn. Sys , (2011)

6. S. Galatolo; M. J. Pacifico. Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence. Ergod. Th. Dyn. Sys. (2010)

7. S. Galatolo, M. Hoyrup, C. Rojas. Effective symbolic dynamics, random points, statistical behavior, complexity and entropy. Inf. Comput. (2010)

8. F. Lorussi; S. Galatolo; D. De Rossi Textile-based electrogoniometers for wearable posture and gesture capture systems. IEEE Sensors J.(2009)

9. S. Galatolo. Dimension and hitting time in rapidly mixing systems Math. Res. Lett. (2007)

10. S. Galatolo; D. H. Kim. The dynamical Borel-Cantelli lemma and the waiting time problems. Indag. Math (2007)

For further information one can consult my papers on Google Scholar.

Other Papers

1. W. Bahsoun; S. Galatolo; I. Nisoli; X. Niu. Rigorous Approximation of Diffusion Coefficients for Expanding Maps. J. Stat. Phys. (2016)

2. S. Galatolo, M. Monge, I. Nisoli. Rigorous approximation of stationary measures and convergence to equilibrium for iterated function systems. Journal of Physics. A, Mathematical and Theoretical (2016)

3. S. Galatolo, B. Saussol, I. Nisoli . An elementary way to rigorously estimate convergence to equilibrium and escape rates. Journal of Computational Dynamics (2015)

4. S. Galatolo, I. Nisoli, C. Rojas. Probability, statistics and computation in dynamical systems. Mathematical Structures in Computer Science (2015) 

5. V. Araujo, S. Galatolo, MJ Pacifico. Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors Math. Zeitcrift (2014)

6. V. Araujo, S. Galatolo, M.J. Pacifico. Statistical Properties of Lorenz-like Flows, Recent Developments and Perspectives. Int. J. of Bifurcation and Chaos (2014) 

7. F. Lorussi; S. Galatolo; R. Bartalesi; D. De Rossi Modeling and characterization of extensible wearable textile-based electrogoniometers IEEE Sensors J. (2013)

8. S . Galatolo, M. Hoyrup, C. Rojas. Statistical properties of dynamical systems – Simulation and abstract computation. Chaos, Solitons and Fractals (2012)

9. S. Galatolo, I. Nisoli. Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds Nonlinearity (2011).

10. S. Galatolo, M. Hoyrup, C. Rojas. Computing the speed of convergence of ergodic averages and pseudorandom points in computable dynamical systems. Electronic Proc. in Theor. Comp. Sci. (2010) 

11. L. Calcagnile; S. Galatolo; G. Menconi. Non-sequential recursive pair substitutions and numerical entropy estimates in symbolic dynamical systems. J. Nonlinear Sci. (2010)

12. S. Galatolo, P. Peterlongo. Long hitting time, slow decay of correlations and arithmetical properties. Disc. Cont. Dyn. Sys. (2010)

13. V. Benci, S Galatolo, M. Ghimenti . An elementary approach to stochastic differential equations using the infinitesimals. Contemporary Math., AMS (2010)

14. S. Galatolo. Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems. Proc. Am. Math. Soc. (2010).

15. F. Lorussi, C. Caudai, De Rossi D., S. Galatolo . Stiffness and compliance control in dynamical systems driven by muscle-like actuators. In: Proceeding of ASME Dynamic Systems and Control Conference (2010)

16. S. Galatolo, F. Lorussi, C Caudai. Stiffness control of biomimetic systems through recruitment of bundle elastomeric actuators. In: Dielectric elastomers as electromechanical transducers. (2008)

17. S Galatolo, M. Hoyrup, C. Rojas. A constructive Borel-Cantelli lemma. Constructing orbits with required statistical properties. Theor. Comp. Sci.,  (2009)

18. Galatolo S . Metric complexity for weakly chaotic systems. Chaos (2007)

19. F. Lorussi, S. Galatolo, C. Caudai C., A. Tognetti, D. De Rossi D. Compliance control and Feldman's muscle model. In: Proceedings of the First IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronics (2006)

20. S. Galatolo; D. H. Kim; K. Park. The recurrence time for ergodic systems with infinite invariant measures. Nonlinearity (2006)

21. S. Galatolo. Hitting Time and Dimension in Axiom A Systems, Generic Interval Exchanges and an Application to Birkoff Sums, J. Stat. Phys. (2006)

22. S. Galatolo. Dimension via waiting time and recurrence, Math. Res. Lett. (2005)

23. V Benci, S. Galatolo. Optimal information measures for weakly chaotic dynamical systems. Electr. Notes in Discrete Math.  (2005).

24. S. Galatolo S, M. Degli Esposti. Recurrence near given sets and the complexity of the Casati-Prosen map. Chaos, Solitons and Fractals, (2005)

25. C. Bonanno, S. Galatolo, S. Isola. Recurrence and algorithmic information, Nonlinearity (2004)

26. C. Bonanno, S. Galatolo. Algorithmic information for interval maps with an indifferent fixed point and infinite invariant measure. Chaos (2004) 

27. M. Storrie-Lombardi, F. Corsetti, P. Grigolini, M. Ignaccolo , P. Allegrini, Galatolo S, G. Tinetti. Complexity Analysis to explore the structure of ancient stromatolites. Chaos, Solitons and Fractals, (2004)

28. V. Benci , C. Bonanno C., S. Galatolo ,G. Menconi, M. Virgilio. Dynamical systems and computable information. Disc. Cont. Dyn. Sys. B (2004)

29. S. Galatolo. Global and local complexity in weakly chaotic dynamical systems. Disc. Cont. Dyn. Sys. (2003)

30. S. Galatolo. Complexity, initial condition sensitivity, dimension and weak chaos in dynamical systems, Nonlinearity (2003)

31. F . Argenti, V Benci, P. Cerrai, A. Cordelli, S. Galatolo, G. Menconi. Information and dynamical systems: a concrete measurement on sporadic dynamics. Chaos, Solitons and Fractals, (2002)

32. C . Bonanno, S. Galatolo, G. Menconi. Information of sequences and applications. Phys. A (2002)

33. S . Galatolo . Orbit complexity and data compression. Disc. Cont. Dyn. Sys. (2001)

34. S. Galatolo. Orbit complexity by computable structures. Nonlinearity (2000)

35. S. Galatolo. A proof of the Beyer-Stein-Ulam relation between complexity and entropy. Discrete Math. (2000)

36. S. Galatolo. Pointwise information entropy for metric spaces. Nonlinearity (1999)

37. S. Galatolo. On a problem in effective knot theory. Atti. Acad. Naz. Lincei (1998)

Preprints

1. S Galatolo, M Monge, I Nisoli. Existence of Noise Induced Order, a Computer Aided Proof arXiv:1702.07024

2. S Galatolo Quantitative statistical stability and speed of convergence to equilibrium for partially hyperbolic skew products arXiv:1702.05996

3. S Galatolo Quantitative statistical stability and convergence to equilibrium. An application to maps with indifferent fixed points arXiv:1512.01646

4. S Galatolo, R Lucena Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps arXiv:1507.08191

5. W Bahsoun, S Galatolo, I Nisoli, X Niu A Rigorous Computational Approach to Linear Response arXiv:1506.08661