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searching for Free entropy 5 found (142 total)

Connes embedding problem (1,037 words) [view diff] exact match in snippet view article find links to article

several different areas of mathematics. Dan Voiculescu developing his free entropy theory found that Connes' embedding problem is related to the existence

Fisher information metric (4,183 words) [view diff] exact match in snippet view article find links to article

here is time t; this action can be understood to give the change in free entropy of a system as it is moved from time a to time b. Specifically, one has

Free probability (691 words) [view diff] exact match in snippet view article find links to article

invariant. The main tool used for the construction of free dimension is free entropy. The relation of free probability with random matrices is a key reason

Proline (2,241 words) [view diff] exact match in snippet view article find links to article

rotation. As a result, it is often found in "turns" of proteins as its free entropy (ΔS) is not as comparatively large to other amino acids and thus in a

Von Neumann algebra (5,923 words) [view diff] exact match in snippet view article find links to article

first proved by Leeming Ge for free group factors using Voiculescu's free entropy. Popa's work on fundamental groups of non-amenable factors represents