Lecture 7: Minimal invariants sets for RDS with bounded noise

   Video recording: lecture 7  (Kalle Timperi and Wei Hao Tey) 

Reading material:

1. Kalle's notes (lecture slides) (Wei Hao's notes contain unpublished results which we do not post here)
2. J.S.W. Lamb, M. Rasmussen and K. Timperi. On Boundaries of ε-neighbourhoods of Planar Sets, Part I: Singularities. arXiv:2012.13515
3. J.S.W. Lamb, M. Rasmussen and K. Timperi. On Boundaries of ε-neighbourhoods of Planar Sets, Part II: Global Structure and Curvature, arXiv:2107.07544

Lecture 6: Random unstable manifolds

  Video recording: lecture 6  (Giuseppe Tenaglia) 

Reading material:

1. Random unstable manifolds (lecture notes)

Lecture 5: Random circle maps

 Video recording: lecture 5  (Jeroen Lamb) 

Reading material:

1. Random circle homeomorphisms (lecture sides)
2. Synchronisation in random circle maps (notes by Julian Newman)

Related material (as mentioned in class):

1. Necessary and Sufficient Conditions for Stable Synchronisation in Random Dynamical Systems (talk by Julian Newman @ BIRS (2015)).
2. Random product of maps synchronizing on average (E. Matias an I. Melo)
3. Random walks on Homeo(S^1) (D. Malicet)

Lecture 4: Intermittency

  Video recording: lecture 4 (Bernat Bassols Cornudella) 

Reading material:

1. Intermittency in iterated function systems and Infinite Ergodic Theory
: The random logistic map (RDSET project 2021)
2. Infinite Ergodic Theory and Intermittency of a random logistic map (lecture slides)

Lecture 3: Correspondence theorem

 Video recording: lecture 3 (Matheus Manzatto de Castro) 

Reading material:

1. RDS - Correspondence theorem (lecture slides) 

Lecture 2: Markov RDS

Video recording: lecture 2 (Matheus Manzatto de Castro) 

Reading material:

1. RDS - Markov Random Dynamical Systems (lecture slides; 1/2/2022 version) 

Lecture 1: The chaos game

  Video recording: lecture 1 (Jeroen Lamb) 

  for a discussion of last part of the slides, as discussed during the Thursday afternoon discussion

   session on 20/1/22, see 

  Video recording lecture 2021: lecture 1 (passwd: rds&et2021) by Jeroen Lamb 

Reading material:

1. RDSETL1-slides.pdf
2. IFS-as-RDS.pdf (Jan Stanczuk, 2019)