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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

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Is the underlying set of every renormalization group countable and finite?

No, the renormalization group of a continuum field theory contains continuously parameterized scale-changing transformations—hence an uncountable number of them.
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7 votes

Poincaré recurrence and its implications for statistical physics and the arrow of time

The Poincare recurrence (or, more general, the ergodic theorem that says that a system will, over time, evolve through essentially all microscopic states that are consistent with the total energy, par …
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