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Entropic Ruzsa triangle 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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The
entropic Ruzsa distance
satisfies
d
R
(
X
,
Z
)
≤
d
R
(
X
,
Y
)
+
d
R
(
Y
,
Z
)
.
(1)
For independent representatives this is equivalent to
H
(
X
−
Z
)
+
H
(
Y
)
≤
H
(
X
−
Y
)
+
H
(
Y
−
Z
)
.
(2)
Ancestors
(6)
Entropic Ruzsa distance
Information theory
Probability and statistics
Area of mathematics
Mathematics
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(4)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 164
/
4
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 224
/
1
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 224
/
1
/
d
/
Solution
Relevance of independent self-sums
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