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math.NT2026
The inverse Galois problem of iterated Galois groups and their fixed-point proportion
Santiago Radi
In 1985, Odoni initiated the study of arboreal representations and the fixed-point proportion, motivated by prime density problems in arithmetic dynamics. Since then, many question…
math.NT2026
Proportion of periodic points in reduction of polynomials
Santiago Radi
In 2014, Juul, Kurlberg, Madhu and Tucker asked the following: given a number field and a rational function with coefficients in , if denotes the reduct…
math.NT2026
Fixed-point proportion of geometric iterated Galois groups
Jorge Fariña-Asategui, Santiago Radi
In 1980, Odoni initiated the study of the fixed-point proportion of iterated Galois groups of polynomials motivated by prime density problems in arithmetic dynamics. The main goal…