- Tuesday March 29: Graphics : Logistic map, fixed points, period doubling
- Thursday, March 31: Logistic map: period three implies chaos;
- Tuesday, April 5: Linear dynamics and chaotic dynamics on the Cantor set, coding space and coding map
- Thursday, April 7: Hausdorff measure and Hausdorff dimension
- Tuesday April 12: Fixed point theorem for contractions on complete metric spaces
- Thursday April 14: The Hausdorff distance between compact sets, contractions, self-similar sets
- Tuesday April 19: Topological dimension and Hausdorff dimension, box counting dimension
- Thursday April 21: Outer measures, measures, measurable sets
- Tuesday April 26: Lebesgue measure on the line, Bernoulli measures on Cantor sets, Banach-Tarski paradox (non-measurable sets)
- Thursday April 28: Shift spaces with Bernoulli and Markov measures
- Tuesday May 3: Measure and dimension: uniform mass principle, local dimension, Hausdorff dimension of a measure
- Thursday May 5: Bowen balls and local entropy, topological entropy, entropy of Markov measures
- Tuesday May 10: Lyapunov exponents, multifractals; Shannon entropy, Khinchin axioms, Renyi entropy, information gain, properties of Renyi entropy
- Thursday May 12: Information theoretic entropy and thermodynamical entropy, thermodynamics formalism and statistical mechanics, Potts models on one-dimensional lattices, coding and shift invariance
- Tuesday May 17: Renyi dimensions and box counting dimension, thermodynamicsl formalism
- Thursday May 19: Smale-Williams solenoid, hyperboli dynamical systems, stable and unstable manifolds, attractors
- Tuesday May 24: Hausdorff dimension of products, dimension of the solenoid attractor, Smale's horseshoe dynamical system

- Tuesday May 31, 10:30-11:00, Joseph Lyndon, Percolation
- Tuesday May 31, 11:00-11:30, Gerardo Ferrara, Copulas with fractal support
- Tuesday May 31, 11:30-12:00, Karan Gupta
- Thursday June 2, 10:30-11:00 Arpit Panda, Chaos and continued fractions
- Thursday June 2, 11:00-11:30 Chris Estrada, Lyapunov exponent and continued fractions
- Thursday June 2, 11:30-12:00 Eric Zhang, Brownian Motion and Browning Surfaces

- Gerardo Ferrara: (pdf) G.A.Fredricks, R.B.Nelson, J.A.Rodriguez-Lallena, "Copulas with fractal support" Insurance: Mathematics and Economics 37 (2005) 42-48
- Arpit Panda: (pdf) R.M.Corless, G.W.Frank, J.G.Monroe, "Chaos and continued fractions" Physica D 46 (1990) 241-253

- Shlomo Sternberg, "Dynamical Systems", Dover, 2010.
- Kenneth Falconer, "Fractal geometry" (2nd), Wiley, 2003.

- Approximation of continuous Newton's method: an extension of Cayley's problem (by J.Jacobssen, O.Lewis, B.Tennis)
- What is percolation? (by H.Kesten)
- Critical exponents for two-dimensional percolation (by S.Smirnov and W.Werner)
- Period three implies chaos (by T.Y.Li and A.Yorke)
- Fifty years of entropy in dynamics (by A.Katok)
- Multifractal analysis of Lyapunov exponent for Continued fraction ... (M.Pollicott and H.Weiss)
- Arithmetic Quantum Chaos (Jens Marklof)
- Contractive Markov Systems (Ivan Werner)
- Multifractal of the Apollonian tiling (Dominique Simpelaere)
- The multifractal analysis of Birkhoff averages and large deviations (Yakov Pesin and Howard Weiss)
- Arithmetic Quantum Chaos (Peter Sarnak)
- Tilings, scaling functions, and a Markov process (Richard F.Gundy)
- What is quantum chaos? (Zeev Rudnick)
- Chaos, fractals and statistics (S.Chatterjee and M.R.Yilmaz)
- Renormalization and fixed points in finance, since 1962 (B.Mandelbrot)

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