40 references, page 1 of 4 [1] U. Abresch and J. Langer, The normalized curve shortening flow and homothetic solutions, J. Differential Geom. 23 (1986), 175-196.

[2] S. Angenent, Shrinking doughnuts, in Nonlinear Diffusion Equations and Their Equilibrium States, 3 (Gregynog, 1989), 21-38, Progr. Nonlinear Differential Equations Appl., 7, Birkh¨auser Boston, Boston, MA, 1992.

[3] J. Bernstein and L. Wang, A remark on a uniqueness property of high multiplicity tangent flows in dimension three, Int. Math. Res. Not. IMRN 2015 (2015), no. 15, 6286-6294.

[4] J. Bernstein and L. Wang, A sharp lower bound for the entropy of closed hypersurfaces up to dimension six, Invent. Math., to appear. Available at: http://arxiv.org/abs/1406.2966.

[5] K. Brakke, The motion of a surface by its mean curvature, Mathematical Notes 20, Princeton University Press, Princeton, N.J., 1978.

[6] S. Brendle, Embedded self-similar shrinkers of genus 0, Ann. of Math. (2) 183 (2016), no. 2, 715-728.

[7] P.-Y. Chang and J. Spruck, Self-shrinkers to the mean curvature flow asymptotic to isoparametric cones. Preprint. Available at: http://arxiv.org/abs/1510.07183 .

[8] X. Cheng and D. Zhou, Volume estimate about shrinkers, Proc. Amer. Math. Soc. 141 (2013), no. 2, 687-696.

[9] O. Chodosh, Brian White-Mean curvature flow (Math 258) lecture notes. Unpublished notes.

[10] H.I. Choi and R. Schoen, The space of minimal embeddings of a surface into a threedimensional manifold of positive Ricci curvature, Invent. Math. 81 (1985), no. 3, 387-394.