Explore rigorous computer algorithms for chaotic dynamics in this comprehensive lecture by Polina Vytnova from the University of Surrey. Delve into an effective and efficient approach for computing the spectral radius of transfer operators associated with hyperbolic systems. Learn how this method can be applied to estimate various parameters approached via the pressure function, including the Hausdorff dimension of limit sets, Lyapunov exponents, entropy, and moments. This 1 hour and 35 minute presentation, part of the Simons Semester on Dynamics, offers valuable insights into advanced computational techniques for analyzing complex dynamical systems.