Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set
نویسندگان
چکیده
منابع مشابه
Iterated Galois towers, their associated martingales, and the p-adic Mandelbrot set
We study the Galois tower generated by iterates of a quadratic polynomial f defined over an arbitrary field. One question of interest is to find the proportion an of elements at level n that fix at least one root; in the global field case these correspond to unramified primes in the base field that have a divisor at level n of residue class degree one. We thus define a stochastic process associ...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2007
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x07002667