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DinAmicI VII
6-9 June 2022
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List of the attendees
- Aaronson jon
- Artuso Roberto
- Bambusi Dario
- Bonanno Claudio Bonanno
- Butterley Oliver
- Canestrari Giovanni
- Castorrini Roberto
- Cherubini Anna Maria
- Corso Emilio
- Cristadoro Giampaolo
- Cruz Diaz Inti
- Del Magno Gianluigi
- Gidea Marian
- Gilbert Thomas
- Giorgio Turchetti
- Giuliani Filippo
- Giulietti Paolo
- Guardia Marcel
- Hani Zaher
- Jain Sakshi
- Kesseböhmer Marc
- Khalifa Tahar
- Kona Albana
- Langella Beatrice
- Lenci Marco
- liverani carlangelo
- Mantica giorgio
- Marklof Prof Jens
- Marklof Jens
- Marmi Stefano
- Massetti jessica elisa
- Muhammad Mubarak
- Nandori Peter
- Ounesli Hamza
- Panti Giovanni
- Pollicott Mark
- Pozzoli Gaia
- Quaschner Manuel
- Safaee Pedram
- Schindler Tanja
- Slipantschuk Julia
- Sorrentino Alfonso
- Vaienti Sandro
The field of Dynamical Systems has always been one of the most transversal and ramified of Mathematics, exchanging ideas, techniques and results with a broad array of other fields, such as Geometry, Analysis, Probability, Number Theory, etc.
It is also one of the most interdisciplinary and applicable, providing approaches, models and mathematical predictions for disciplines as diverse as Physics, Biology, Economy, Social Sciences, etc. etc. In a scientific panorama that is becoming more and more interdisciplinary, in which Mathematics plays the role of the most basic science and common language, it is not surprising that Dynamical Systems are going through a thriving time, as demonstrated also by the many top prizes awarded recently to mathematicians in and around the field – cf. The Fields medals to A. Venkatesh (2018), A. Avila and M. Mirzakhani (2014), E. Lindenstrauss (2010) and the Abel prizes to H. Furstenberg and G. Margulis (2020), Ya. Sinai (2014), D. Sullivan (2022), E. Szemeredi (2012).
The DinAmicI (https://dinamici.org) is a network of specialists in Dynamical Systems with diverse backgrounds and research interests; originally created in 2009 with the aim of connecting and supporting a number of Italian dynamicists, DinAmicI has then evolved into an international community comprising, more than 100 members based in more than 20 countries.
In Fall 2020, it has become a work group of the Italian Mathematical Society (the UMI group DinAmicI). Previous activities include: 8 workshops (6 “official” DinAmicI workshops + 2 other workshops), a Summer School, 4 “DinAmicI Days” (scientific/social one-day meetings), as well as a series of online seminars. The proposed conference will be our seventh official workshop (DinAmicI VII).
One of the main purposes of the workshop, in line with our tradition, is to provide an opportunity for young researchers to interact with world-class experts in different areas of Dynamical Systems.
Speakers:
- J. Aaronson (Tel Aviv University, Tel Aviv, IL)
- F. Cellarosi (Queen’s University, Kingston, ON, CA)
- E. Corso, ETH Zurich (ETH Zurich, Zurich, CH)
- M. Gidea (Yeshiva University, New York, NY, USA)
- F. Giuliani (Politecnico di Milano, Milano, IT)
- M. Guardia (Universitat Politècnica de Catalunya, Barcelona, ES)
- Z. Hani (University of Michigan, Ann Arbor, MI, USA)
- S. Jain (Università di Roma Tor Vergata, Roma, IT)
- M. Kesseböhmer (Universität Bremen, Bremen, DE)
- B. Langella (SISSA, Trieste, IT)
- C. Liverani (Università di Roma Tor Vergata, Roma, IT)
- J. Marklof (University of Bristol, Bristol, UK)
- J.E. Massetti (Università di Roma Tre , Roma, IT)
- P. Nándori (Yeshiva University, New York, NY, USA)
- T. Osman (Queen’s University, Kingston, ON, CA)
- M. Pollicott (University of Warwick, Coventry, UK)
- M. Quaschner (Friederich-Alexander-Universität Erlangen-Nürenberg, DE)
- T. Schindler (Universität Wien, Wien, AT)
- D. Turaev (Imperial College, London, UK)
- S. Vaienti (Centre de Physique Théorique, Luminy & Université de Toulon, FR)
Scientific Committee:
- Lai-Sang Young (Courant Institute of Mathematical Sciences, NYU, New York, USA)
- Dmitry Dolgopyat (University of Maryland, College Park, MD, USA)
- Vadim Kaloshin (Institute of Science and Technology Austria, Klosterneuburg, AT)
Organizing Committee (in representation of the DinAmicI community):
- Roberto Artuso (Insubria)
- Anna Maria Cherubini (Salento)
- Marco Lenci (Bologna)
- Simone Paleari (Milano La Statale)
- Alfonso Sorrentino (Roma Tor Vergata)
Schedule
Monday, June 6th
9.45
Opening
9.45
10:00
Asymptotic properties of deterministic fast-slow systems
C. Liverani
11:00
Coffee break
11:00
11:30
The mathematical theory of wave turbulence
Z. Hani
12:30
Lunch
12:30
14:30
Geodesic random line processes and the roots of quadratic congruences
J. Marklof
15:30
A few results on quenched random dynamics on open systems
S. Vaienti
15:30
16:30
Coffee break
17:00
Global Effect of Non-Conservative Perturbations on Homoclinic Orbits to a Normally Hyperbolic Invariant Manifold
M. Gidea
17:00
Tuesday, June 7th
9:30
Oscillatory motions and symbolic dynamics in the three body problem
M. Guardia
9:30
10:30
On the persistence of periodic tori for symplectic twist maps
J.E. Massetti
11:30
Coffee break
11:30
12:00
Non-collision singularities and the (4+4)-system
M. Quaschner
13:00
Lunch
13:00
14:30
On triple instability
D. Turaev
15:30
Coffee break
15:30
16:00
Arnold diffusion in Hamiltonian systems on infinite lattices
F. Giuliani
18:00
Visit & social dinner
18:00
Wednesday, June 8th
9:30
A hyperbolic dynamics perspective of flat surfaces
M. Pollicott
9:30
10:30
Folding dilating shapes: a journey from Euclidean to hyperbolic geometry
E. Corso
11:30
Coffee break
11:30
12:00
Discontinuities Cause Essential Spectrum
S. Jain
13:00
Lunch
13:00
15:00
Flexibility of the central limit theorem in smooth dynamical systems
P. Nándori
16:00
Coffee break
16:00
16:30
A quantitative central limit theorem for certain unbounded observables over piecewise expanding interval map
T. Schindler
Thursday, June 9th
9:30
The Jacobi theta function near the real line
F. Cellarosi
9:30
10:30
Tail asymptotics for generalised Theta Sums with rational parameters
T. Osman
11:30
Coffee break
11:30
12:00
Spectral dimensions of Krein--Feller operators in higher dimensions
M. Kesseböhmer
13:00
Lunch
13:00
14:30
Growth of Sobolev norms in quasi integrable systems: a quantum Nekhoroshev theorem
B. Langella
15:30
Coffee break
15:30
16:00
Some infinite ergodic renewal theory
J. Aaronson