Proves limiting measures for joint equidistribution of ε-Diophantine approximates of matrices for almost every matrix, including first treatment of the multiplicative case via Poincaré sections and multiple mixing.
Athreya, Anish Ghosh, and Jimmy Tseng, Spiraling of approximations and spherical averages of Siegel transforms , J
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Counting and Joint equidistribution of approximates
Proves limiting measures for joint equidistribution of ε-Diophantine approximates of matrices for almost every matrix, including first treatment of the multiplicative case via Poincaré sections and multiple mixing.