Beat the average game (AlphaEvolve problem 39)
Beat the average game (AlphaEvolve problem 39). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Inequalities; stochastic orderings
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Beat the average game (AlphaEvolve problem 39). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
One-dimensional convex sub-Gaussian comparison constant: determine C 48 or improve its bounds; the repository records approx 5.33386 (lower) and approx 5.33386 (upper).
KLS constant for log-concave probability measures: determine C 20c or improve its bounds; the repository records sqrt pi/2 approx 1.25331 (lower) and infty (upper).
Thin shell conjecture constant: determine C 20a or improve its bounds; the repository records 2 (lower) and < infty (upper).
Critical exponent for isoperimetric inequality on the Hamming cube: determine C 11b or improve its bounds; the repository records 0.5 (lower) and 0.5 (upper).
L^1 Poincaré constant on the Hamming cube: determine C 11a or improve its bounds; the repository records sqrt pi/2 approx 1.2533 (lower) and pi/2 - 0.00013 approx 1.5707 (upper).
These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
Institute of Mathematical Statistics
Probability theory
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