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dynamical systems

Q&A

Searching Symbols for the Rules of Change

November 17, 2020

Bryna Kra searches for the patterns in sequences of numbers that explain how complicated dynamical systems evolve over time.

Multimedia

The Map of Mathematics

February 13, 2020

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

An illustration of eyeballs connected to many hands painting the Mona Lisa.
mathematical biology

A Mathematical Model Unlocks the Secrets of Vision

August 21, 2019

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.

Q&A

A Mathematician Whose Only Constant Is Change

June 13, 2019

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

Animated line drawing of Margaret Hamilton, Ellen Fetter, and a Lorenz attractor
chaos theory

The Hidden Heroines of Chaos

May 20, 2019

Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in science.

Art for "Brains Speed Up Perception by Guessing What’s Next"
neuroscience

Brains Speed Up Perception by Guessing What’s Next

May 2, 2019

Your expectations shape and quicken your perceptions. A new model that explains how that happens also suggests it’s time to update theories about sensory perception and decision making.

Art for "Proof Finds That All Change Is a Mix of Order and Randomness"
dynamical systems

Proof Finds That All Change Is a Mix of Order and Randomness

March 27, 2019

All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”

Photo illustration of Akshay Venkatesh
2018 Fields Medal and Nevanlinna Prize

A Number Theorist Who Bridges Math and Time

August 1, 2018

Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”

Classes of geometric structures
Abstractions blog

Why Mathematicians Like to Classify Things

August 15, 2017

It’s “a definitive study for all time, like writing the final book,” says one researcher who’s mapping out new classes of geometric structures.