### making headlines | Sweeping math proof shows all change is a mix of order + chance

##### September 1, 2019

image | above

*Researchers are studying patterns found in math equaltions.*

Dear readers,

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topic | progress in math |

story | Sweeping math proof shows all change is mix of order + chance. |

— facts —-

*a breakthrough math proof:*

- one of the most sweeping results in math
- this proof looks at mathematical descriptions of change
- in math: these descriptions are called dynamical systems
- they apply to everything: from the motion of planets — to fluctuations of the stock market
- math model examples: swinging of a clock pendulum • water flow in a pipe • number of fish each spring in a lake
- wherever dynamical systems happen, researchers need to understand basic facts about them
- can dynamical systems — no matter how complex — be broken-up into random + deterministic elements?
- this math proof gives researchers the building blocks for understanding random change

1. |

publication: *Quanta*

story title: Proof finds that all change is a mix of order + randomness

deck: All descriptions of change are a unique blend of chance + determinism.

deck: According to the sweeping math proof of the weak Pinsker conjecture.

read | story

2. |

publication: *Quanta*

story title: How randomness can make math easier

deck: Randomness would seem to make a math statement harder to prove.

deck: In fact, it often does the opposite.

read | story

3. |

group: Univ. of California

story title: Tim Austin PhD proves the weak Pinsker conjecture

read | story

— notes —

math *or* maths = mathematics