Sharp Stability for LSI
A fundamental tool in mathematical physics is the logarithmic Sobolev inequality. A quantitative version proven by Carlen with a remainder involving the Fourier–Wiener transform is equivalent to an entropic uncertainty principle more general than the Heisenberg uncertainty principle. In the stabilit...
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Format: | Article |
Language: | English |
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MDPI AG
2023-06-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/11/12/2670 |