Stefano Luzzatto Abdus Salam International Centre for Theoretical Physics (ICTP)
Strada Costiera 11
Trieste, Italy
luzzatto@ictp.it
+39 040 2240253
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Regular Courses (ICTP & SISSA)

Introduction to Smooth Ergodic Theory (SISSA 2021)
Information, Lectures Notes and Videos, here
Introduction to Ergodic Theory
ICTP & SISSA, 2009-2017
Introduction to Differential Equations and Dynamical Systems
ICTP & SISSA, 2009-2017

Intensive Mini-Courses

Differentiable Ergodic Theory
CIMPA School on "Aspects of Ergodic Theory"
Kathmandu, Nepal. 
November 2014
Organizers: R. Leplaideur (Brest, France) and A. Singh (Tribhuvan University, Nepal)

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Differentiable Ergodic Theory
ICTP-NLAGA School in Dynamical Systems and Ergodic Theory
AIMS-Senegal, Mbour,
June 2014
Organizers: I. Assani (UNC, Chapel Hill, USA), S. Luzzatto (ICTP), M. Vana (IMPA, Brazil)
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Dynamical Systems
Ghana

Dynamical Systems and Ergodic Theory
University of Masshad, Iran.

Dynamical Systems and Ergodic Theory
ICTP School on Dynamical Systems.
University of Alfateh, Tripoli, Libya.
Organizer: S. Luzzatto (ICTP)

Parameter exclusions in 1-dimensional maps
Special semester on Dynamical Systems
Chinese Academy of Sciences, Beijing, China.
9th-27th April 2006

Topological dynamics and ergodic theory
School on Real and Complex Dynamics (London Dynamical Systems Graduate School)
Imperial College London

Nonuniformly hyperbolic dynamics
SISSA/PRODYN Winter School in Geometric, Probabilistic and Variational Methods in Dynamical Systems.
International School for Advanced Studies (SISSA), Trieste, Italy


Using invariant manifolds to study chaotic dynamics
Course on Regular and Stochastic Motions in Deterministic Dynamics.
Limburgs Universitair Centrum, Diepenbeek, Belgium

Organiser: Freddy Dumortier (Belgium)

Regular Courses (Imperial College)

Probabilistic Methods in Dynamics (4th Year/Msc)
Imperial College London, Yearly 2001-2009
Maths 1 for Aeronautical Engineering (1st Year)
Imperial College London, Yearly 2001-2009
Introduction to Chaos (3rd/4th Year)
Imperial College London, Yearly 2001-2005

Regular Courses (Warwick)

Non-Hyperbolic Dynamics (4th Year/MSc)
Warwick University, 1995-1999

Hyperbolic Dynamics (3rd/4th Year/MSc)
Warwick University, 1998
Introduction to Dynamical Systems (3rd  Year/MSc)
Warwick University, 1997

Qualitative Theory of Differential Equations (3rdYear)
Warwick University, 1996

Regular Courses (UMIST)

Foundation Year Mathematics
University of Manchester Institute of Science and Technology, 2000

Regular Courses (Marlboro College)

College Algebra, Precalculus (Foundation Year)
Marlboro College, VT, USA. 1998-1990

PhD Students

Hamza Ounesli (Algeria) - current
Mubarak Muhammad (Nigeria) - current
​
Khadim M. War (Senegal) - 2016
Sina Tureli (Turkey) - Integrability of continuous tangent sub-bundles 2015
​
Marks Ruziboev (Uzbekistan) - Gibbs-Markov-Young structures and Decay of Correlations 2015
Sina Tureli (Turkey) - Integrability of continuous tangent sub-bundles 2015
​Oliver Butterley (UK) Statistical properties of Chaotic Flows.  2011
Katie Bloor  (UK)  Hyperbolicity in the standard family of area-preserving maps. 2007
Simon Cedervall (Sweden)  Invariant measures and correlation decay for S-multimodal interval maps 2006
Karla Diaz-Ordaz (Mexico) Statistical properties of interval maps with critical and singular points 2005
Vincent Lynch (UK)  Non-uniformly expanding dynamical systems and decay of correlations for non-Holder continuous observables. 2003
Mark Holland (UK)  Physical measures for chaotic dynamical systems and decay of correlation. 2001

Post-Docs

2021-present Dominic Veconi (USA)
2019-2020     Wagner Ranter (Brazil) 
2017-2020.     Lucia Simonelli (USA)
2015-2017      Oliver Butterley (UK)
2013-2015      Li Xin (China) 
2013-2014.     Mohammad Soufi (Iran)
2010-2011      Ali Golmakani, (Iran) 
2010-2011.     Li Ming (China) 
2010-2011      Hongfei  (China)
2003-2004    Yongluo Cao Suzhou University, P. R. China; 
2003-2004    Geon Ho Choe Korea Advanced Institute of Science and Technology; 
2003-2004    Roland Zweimuller, University of Vienna; 
2003-2004    Isabel Rios Universidade Federal Fluminense, Niterói,
2003-2004    Lan Yu Wang (Chinese Academy of Sciences, Beijing, China)
2000-2001.   Frederic Paccaut (University of Picardie, France) ​

ICTP Diploma Students

2021 Ruba Hussei​n (Egypt)
         Toluwani Okunola (Nigeria)                                           -> Berlin Mathematica School
2020 Ibrahem Abdelghany                                                     -> MSc Trieste
         Mirmukshin Makhmudiv (Uzbekistan)                           -> Phd Leiden
2019 Asad Ullah 
(Pakistan)                                                    -> PhD Portugal
         Eugene Bronasco ()
2018 Shah Faisal (Pakistan)                                                   -> Msc/PhD Berlin Mathematical School

          Mubarak Muhammad (Nigeria)                                     -> PhD ICTP-SISSA
2017  Abror Pirnapasov (Uzbekistan)                                    -> PhD Bochum, Germany
         Niloofar Kiamari (Iran)                                                  -> PhD Rome Tor Vergata
​2016  Alvaro Javeir Fuentes Suárez (Cuba)                           -> PhD Nice
          Vahatra Rabodonandrianandraina (Madagascar)         -> PhD Amsterdam

2015.  Moussa Ndour (Senegal)
           Noor Ahmed Mahemd (Sudan)

2014.  Lakmi Niwanthi (Sri Lanka)                                         -> PhD North Texas
           Existence of Invariant and Ergodic Measures (pdf)
2013   Bolaji Salako (Benin) 
           El Hadji Yaya Tall (Senegal)                                        -> PhD IMPA, Brazil
          Abdoulaye Thiam (Senegal)                                        ->  PhD Canada
          Shohruh Kholmatov (Uzbekistan)                                ->  PhD ICTP-SISSA
2011.  Marks Ruziboev (Uzbekistan)                                      ->  PhD ICTP-SISSA
          Anup Lamichane (Nepal)
          Bob Senyange (Uganda)
          Zarre Dooghabadi (Iran)
2010. Bertran Sedar Koumba Ngoma (Congo)
2009 Silvya Agwang (Cameroon); 
          Alex Behakanira Tumwesigye ()

MSc Students & Undergraduate Projects

2008  Colin Little (4th Year) Absolutely continuous invariant measures for interval maps 
2007 Emily Lines (4th Yr) The construction of a nonuniformly hyperbolic diffeomorphism of the torus
         Nick Calafatis (4th Yr) Julia sets and the Mandelbrot set
         Ryan Millerieux (4th Yr) Rotation number
2006 Solange Dive (4th Yr) Regularity of foliations for nonlinear dynamical systesm
          Juncal Hernan (3rd Yr) Structural stability 
2005  Eric Reynolds (4th Yr) Markov induced structures for one-dimensional maps
2004  Lea Oljaca (4th Yr) Axiom A systems and Markov partitions 
          Oliver Butterley  (MSc) Partitioning methods for nonuniformly expanding maps 
          Matthew Ford (MSc) Measures of maximal entropy for interval maps
2003  Alexander Drewitz (3rd Yr) On a new proof of the stable manifold theorem for 2 dimensions
          Andrew Lawrie (4th Yr) Mixing for induced Markov maps 
          Simon Cedervall (MSc) Tower construction for quadratic polynomials 
2002. Katie Bloor (4th Yr ) Existence of ergodic measures for uniformly expanding maps
           Martin Andersson (4th Yr) Characterisation of ergodicity