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Title

Spectral gap of Boltzmann measures on unit circle.

Authors

Ma, Yutao; Zhang, Zhengliang

Abstract

We give a two sided estimate on the spectral gap for the Boltzmann measures μh on the circle. We prove that the spectral gap is greater than 1 for any h ∈ ℝ and the spectral gap tends to the positive infinity as h → ∞ with speed ∣h∣.

Subjects

WEIGHTS & measures; INFINITY (Mathematics); MEASUREMENT; SPEED

Publication

Frontiers of Mathematics in China, 2021, Vol 16, Issue 2, p559

ISSN

1673-3452

Publication type

Academic Journal

DOI

10.1007/s11464-021-0892-y

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