Using a localization procedure and the result of Holley-Kusuoka-Stroock [8] in the torus, we widely weaken the usual growth assumptions concerning the success of the continuous-time simulated annealing in ${\mathbb{R}}^d$. Our only assumption is the existence of an invariant probability measure for a sufficiently low temperature. We also prove, in an appendix, a non-explosion criterion for a class of time-inhomogeneous diffusions.

中文翻译：

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关于模拟退火 ${\mathbb{[R}}^d$

使用局部化过程和Holley-Kusuoka-Stroock [8]在圆环中的结果，我们广泛削弱了关于连续时间模拟退火成功的常规增长假设。 ${\mathbb{[R}}^d$。我们唯一的假设是对于足够低的温度存在不变的概率度量。在附录中，我们还证明了一类时间非均匀扩散的非爆炸准则。