Geodesic
Noncommutative Algebraic Dynamics: Ergodic Theory for Profinite Groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 36-65

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In order to determine transitive polynomials on finite solvable groups, we develop ergodic theory for polynomial transformations on profinite groups with operators. 
@article{TM_2009_265_a2,
     author = {V. S. Anashin},
     title = {Noncommutative {Algebraic} {Dynamics:} {Ergodic} {Theory} for {Profinite} {Groups}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {36--65},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_265_a2/}
}
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V. S. Anashin. Noncommutative Algebraic Dynamics: Ergodic Theory for Profinite Groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 36-65. http://geodesic.mathdoc.fr/item/TM_2009_265_a2/