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

topic: progress in math
September 1, 2019

image | above
Researchers are studying patterns found in math equaltions.

Dear readers,

Important breakthroughs happen ever-faster each year. Today, our busy schedules make it difficult to find time to read everything that’s essential, interesting, helpful, or paradigm shifting.

For your easy reading, we curate a selection of the best writing from magazines + newspapers on leading weekly headlines. We hope this saves you time — so you can connect with global stories on progress.

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