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> Mathematical Challenge Three: Capture and Harness Stochasticity in Nature > * Address Mumford’s call for new mathematics for the 21st century. Develop method
by ffhhj 6y ago
> Mathematical Challenge Three: Capture and Harness Stochasticity in Nature
> * Address Mumford’s call for new mathematics for the 21st century. Develop methods that capture persistence in stochastic environments.
This is interesting, what did Mumford asked for, and what does persistence in stochastic systems stands for?
- adenadel 6y agoI believe this is what the page is referring to (The Dawning of the Age of Stochasticity) https://www.dam.brown.edu/people/mumford/beyond/papers/2000b--DawningAgeStoch-NC.pdf https://www.dam.brown.edu/people/mumford/beyond/papers/2000b...
- tuatoru 6y agoI really hope progress can be made. Economics, for instance, has been stuck since Marshall[1] in Newton's method of fluxions/ Liebnitz calculus. (Well, their elaborations perhaps. And leavened with a little game theory. Probability and statistics have contributed nothing significant to the core theory.) Economics has been crying out for a better mathematical foundation since the 1960s at least. 1. https://en.wikipedia.org/wiki/Principles_of_Economics_(Marshall_book) https://en.wikipedia.org/wiki/Principles_of_Economics_(Marsh...