Affine images of isotropic measures

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The dual Minkowski problem for negative indices (2017, background): “The logarithmic Minkowski problem has strong connections with whether a measure has an affine isotropic image (Böröczky-LYZ [10]) and curvature flows (Andrews [2, 3]).”
On the L dual Minkowski problem (2018, background): “The logarithmic Minkowski problem has strong connections with isotropic measures (Böröczky, Lutwak, Yang & Zhang [11]),”
The Minkowski problem in Gaussian probability space (2020, background): “The logarithmic Minkowski problem has strong connections with isotropic measures (Böröczky-LutwakYang-Zhang [14]) and curvature flows (Andrews [1, 2]).”
Existence of solutions to the even dual Minkowski problem (2018, background): “It is still being intensively studied, see, for example, Barthe, Guédon, Mendelson & Naor [4], Böröczky & Henk [6], Böröczky-LYZ [8, 9, 10], Henk & Linke [31], Ludwig [38], Ludwig & Reitzner [40],”
Cone-volume measure of general centered convex bodies (2016, background): “Zhang [12], while the discrete case was established earlier by E.”
On the stability of Brunn–Minkowski type inequalities (2016, unknown): “2 can be found in [8], [9].”