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math.PR2026
Geometric Large-Deviation-Type Principles for Mixed Measures
Malak Lafi, Artem Zvavitch
We study a geometric analogue of the large deviation principle for mixed measures associated with a class of -concave probability measures whose densities depend on the gauge…
math.PR2024
Measure comparison problems for dilations of convex bodies
Malak Lafi, Artem Zvavitch
We study a version of the Busemann-Petty problem for -concave measures with an additional assumption on the dilates of convex, symmetric bodies. One of our main tools is an a…