Several remarks on Pascal automorphism and infinite ergodic theory

We interpret the Pascal-adic transformation as a generalized induced automorphism (over odometer) and formulate the $σ$-finite analog of odometer which is also known as "Hajian-Kakutani transformation" (former "Ohio state example"). We shortly suggest a sketch of the theory of random walks on the groups on the base of $σ$-finite ergodic theory.

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