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Entropic Ruzsa sum-difference inequality
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)
Mathematics
Area of mathematics
Probability and statistics
Information theory
Entropic Ruzsa distance
Created
2026-09-24
Updated
2026-09-24
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For finitely supported
random variables
,
d
R
(
X
,
−
Y
)
≤
3
d
R
(
X
,
Y
)
.
(1)
Equivalently, independent
X
,
Y
satisfy
H
(
X
+
Y
)
+
H
(
X
)
+
H
(
Y
)
≤
3
H
(
X
−
Y
)
.
(2)
Ancestors
(6)
Entropic Ruzsa distance
Information theory
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 224
/
1
/
d
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 224
/
1
/
e
/
Solution
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