#### New Book: Gentle Introduction To Chaotic Dynamical Systems

- Vincent Granville
- March 21, 2023

In less than 100 pages, the book covers all important topics about discrete chaotic dynamical systems and related time series and stochastic processes, ranging from introductory to advanced, in one and two dimensions. State-of-the art methods and new results are presented in simple English. Yet, some mathematical proofs appear for the first time in this […]

Read More#### Math-free, Parameter-free Gradient Descent in Python

- Vincent Granville
- January 28, 2023

Entitled “Math-free, Parameter-free Gradient Descent in Python”, the full version in PDF format is accessible in the “Free Books and Articles” section, here. I discuss techniques related to the gradient descent method in 2D. The goal is to find the minima of a target function, called the cost function. The values of the function are computed at […]

Read More#### New Perspective on the Riemann Hypothesis

- Vincent Granville
- July 29, 2022

Entitled “New Perspective on the Riemann Hypothesis”, the full version in PDF format is accessible in the “Free Books and Articles” section, here. In about 10 pages (plus Python code, exercises and figures), this article constitutes a scratch course on the subject. It covers a large range of topics, both recent as well as unpublished, in a […]

Read More#### Detecting Subtle Departures from Randomness

- Vincent Granville
- July 23, 2022

Entitled “Detecting Subtle Departures from Randomness”, the full version in PDF format is accessible in the “Free Books and Articles” section, here. Also discussed in details in chapter 9 in my book “Intuitive Machine Learning and Explainable AI”, available here. Figure 1 below shows two plots arising from two different, non-periodic pseudo-random sequences of +1 and -1 in […]

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