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21 votes
2 answers
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Applications of number theory in dynamical systems

I am looking for references (or ways to find references) on significant and/or recent applications of techniques in number theory to problems in the areas of dynamical systems and nonlinear dynamics. ...
J W's user avatar
  • 760
5 votes
0 answers
772 views

The Grimm Machine(s): A Collatz Conjecture Rival?

Edit 2018.08.08 This answer https://mathoverflow.net/a/307881 will be updated to give recent information about S, especially a forthcoming preprint. End Edit 2018.08.08 Just as the Collatz ...
Gerhard Paseman's user avatar
2 votes
3 answers
467 views

Concise introduction to Beta transformations

I'm looking for a concise introductory on the subject of beta transformations on the circle. I've found things that are related to its applications in the computational field or in number theory. A ...
Amir Sagiv's user avatar
  • 3,574
2 votes
1 answer
515 views

On comparing two almost injective divisor maps

Edit 2018.08.08 This answer https://mathoverflow.net/a/307881 will be updated to give recent information about S, especially a forthcoming preprint. End Edit 2018.08.08 In an introductory post on ...
Gerhard Paseman's user avatar