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chaos theory

Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.
ecology

A Twisted Path to Equation-Free Prediction

Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.

Nature has revealed peculiar mathematical objects that connect order and chaos.
astrophysics

Strange Stars Pulse to the Golden Mean

Nature has revealed peculiar mathematical objects that connect order and chaos.

Artur Avila’s solutions to ubiquitous problems in chaos theory have “changed the face of the field,” earning him Brazil’s first Fields Medal.
2014 Fields Medal and Nevanlinna Prize Winners

A Brazilian Wunderkind Who Calms Chaos

Artur Avila’s solutions to ubiquitous problems in chaos theory have “changed the face of the field,” earning him Brazil’s first Fields Medal.

Newly discovered patterns in evolution may help scientists make accurate short-term predictions.
Biology

The New Science of Evolutionary Forecasting

Newly discovered patterns in evolution may help scientists make accurate short-term predictions.

Surprising oil drop experiments suggest that the quantum world may not be as strange as advertised.
quantum mechanics

Fluid Tests Hint at Concrete Quantum Reality

Surprising oil drop experiments suggest that the quantum world may not be as strange as advertised.

Support is growing for a decades-old physics idea suggesting that localized episodes of disordered brain activity help keep the overall system in healthy balance.
neuroscience

A Fundamental Theory to Model the Mind

Support is growing for a decades-old physics idea suggesting that localized episodes of disordered brain activity help keep the overall system in healthy balance.

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.
Mathematics

A Fluid New Path in Grand Math Challenge

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.

By investigating the central role played by knots in fluids and fields, physicists hope to unravel long-standing mysteries of turbulence.
fluid dynamics

Could Knots Unravel Mysteries of Fluid Flow?

By investigating the central role played by knots in fluids and fields, physicists hope to unravel long-standing mysteries of turbulence.

All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix.
universality

In Mysterious Pattern, Math and Nature Converge

All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix.