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Estimate of the difference between the Kac operator and the Schrödinger semigroup

✍ Scribed by Takashi Ichinose; Satoshi Takanobu

Publisher
Springer
Year
1997
Tongue
English
Weight
1018 KB
Volume
186
Category
Article
ISSN
0010-3616

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In this paper, we will give a lower bound on the gap by using a weak Poincare inequality which was introduced by M. Ro ckner and F.-Y. Wang (2000, Weak Poincare inequalities and L 2 -convergence rates of Markov semigroups, preprint). Also we will give estimates on the distribution function of ground