Geodesic
Random algebraic numbers
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 294-311

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Suppose we are given a set of real algebraic numbers of arbitrary fixed degree. Consider a family of measures on a given set. The paper presents a method for constructing a sequence of such measures that weakly converges to the Cauchy distribution. To do this, we will use the theory of random polynomials. 
@article{ZNSL_2021_505_a16,
     author = {A. S. Tokmachev},
     title = {Random algebraic numbers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {294--311},
     publisher = {mathdoc},
     volume = {505},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a16/}
}
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A. S. Tokmachev. Random algebraic numbers. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 294-311. http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a16/