The $\bm{n}$-point correlations between values of a linear form

By Jens Marklof. Ergodic Theory and Dynamical Systems, 2000

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The asymptotic distribution of Frobenius numbers (2009, unknown): “ on the homogeneous space Γ\G, where Γ = SL(d,Z). By Siegel’s volume formula (3.1) dµ(M) dt t = ζ(2)ζ(3)···ζ(d) −1 det(X)−d Yd i,j=1 dXij, where X = (Xij) = t1/dM ∈ GL+(d,R) with M ∈ G, t > 0, cf. [9], [19]. We will also use the notation µ0 for the right G0-invariant probability measure on Γ0\G0,”
The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems (2007, methodology): “the arguments used in [15], [21]), and do not require an application of Ratner’s theory.”
Fine-Scale Statistics for the Multidimensional Farey Sequence (2012, background): “The case of fixed A and large k is discussed in [10].”