Logarithmic Sobolev inequality for zero-range dynamics
نویسندگان
چکیده
منابع مشابه
Logarithmic Sobolev Inequality for Zero–Range Dynamics
We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L grows as L2.
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A logarithmic Sobolev trace inequality is derived. Bounds on the best constant for this inequality from above and below are investigated using the sharp Sobolev inequality and the sharp logarithmic Sobolev inequality. Logarithmic Sobolev inequalities capture the spirit of classical Sobolev inequalities with the logarithm function replacing powers, and they can be considered as limiting cases of...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2005
ISSN: 0091-1798
DOI: 10.1214/009117905000000332