YoVDO

Mandelbrot, 1/f Noise, and The Mind's Eye in Complexity Science

Offered By: Santa Fe Institute via YouTube

Tags

Mathematical Modeling Courses Fractals Courses Mandelbrot Set Courses Ergodicity Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the complex interplay between mathematical formulas and physical reality in this thought-provoking lecture by Nick Watkins. Delve into the history and significance of the "1/f" spectral shape and the Hurst effect, tracing Benoit Mandelbrot's groundbreaking work on long-range dependence and fractional Gaussian noise. Examine the often-overlooked contributions Mandelbrot made to weak ergodicity breaking through nonstationary, fractional renewal models. Gain insights into the distinctions between the Hurst effect, 1/f noise, and long-range dependence, and consider their impact on fields beyond physics. Reflect on Mandelbrot's emphasis on visual intuition in scientific understanding and the role of cognitive diversity in shaping scientific progress. Conclude with a brief exploration of current research on mental imagery and its implications for scientific thinking.

Syllabus

Nick Watkins - Mandelbrot, 1/f and The Mind’s Eye - 2-15-18


Taught by

Santa Fe Institute

Tags

Related Courses

Introduction to Complexity
Santa Fe Institute via Complexity Explorer
数学之旅 The Journey of Mathematics
Shanghai Jiao Tong University via Coursera
Fractals and Scaling
Santa Fe Institute via Complexity Explorer
Caos y Dinámica No Lineal
Universidad Politécnica de Madrid via Miríadax
Introductory Non-Linear Dynamics
NPTEL via YouTube