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A controversial application of the probability-based '''ergodic theory''' is to number theory
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The first serious study of ergodic theory was performed by [[Ludwig Boltzmann]], who also coined the term. His thesis was to justify the use of [[equilibria]] to study [[mechanics]] in a probabilistic model. [[John von Neumann]] and [[George David Birkhoff]] are other seminal contributors to the field.
 
The first serious study of ergodic theory was performed by [[Ludwig Boltzmann]], who also coined the term. His thesis was to justify the use of [[equilibria]] to study [[mechanics]] in a probabilistic model. [[John von Neumann]] and [[George David Birkhoff]] are other seminal contributors to the field.
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A controversial application of the probability-based '''ergodic theory''' is to [[number theory]], which traditionally has been one of the most rigorous fields of mathematics.
    
[[category:mathematics]]
 
[[category:mathematics]]
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