Galyna V. Livshyts
= Galyna V. Livshyts
{c}
<Galyna V. Livshyts> studies <convex geometry>, <analysis> and high-dimensional <probability theory>. Her research page connects these areas through geometric inequalities and properties of convex sets.https://glivshyts6.math.gatech.edu/[Author research and publication page]{ref}
Her course <Topics in Concentration of Measure and Convexity by Galyna V. Livshyts> develops <concentration of measure>, <isoperimetric inequalities> and <Steiner symmetrization>. Replacing each parallel fibre of a set by a centred interval of the same length preserves volume while increasing symmetry, making some inequalities easier to prove. The course page credits the written notes to students, with editing by Livshyts.<Topics in Concentration of Measure and Convexity by Galyna V. Livshyts>[Definition 3.1 and Claim 3.2, p. 28; course-page authorship credit]{ref}