Regular Courses (ICTP & SISSA)
Introduction to Smooth Ergodic Theory (SISSA 2021)
Information, Lectures Notes and Videos, here
Information, Lectures Notes and Videos, here
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Introduction to Ergodic Theory
ICTP & SISSA, 2009-2017 |
Introduction to Differential Equations and Dynamical Systems
ICTP & SISSA, 2009-2017 |
Intensive Mini-Courses
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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)
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)
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)
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)
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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)
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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
University of Manchester Institute of Science and Technology, 2000
Regular Courses (Marlboro College)
College Algebra, Precalculus (Foundation Year)
Marlboro College, VT, USA. 1998-1990
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
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)
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 Hussein (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 ()
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
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