论文标题

在玩具模型上的结果和猜想

Results and conjectures on a toy model of depinning

论文作者

Derrida, Bernard, Shi, Zhan

论文摘要

我们回顾了Derrida和Retaux在2014年引入的疾病中简化版本的最新结果和猜想。对于这种玩具模型,预计将默认过渡的转变为berezinskii--kosterlitz--kosterlitz--无用的类型。在这里,我们讨论了可以证明该预测的整合性条件以及如何对其进行修改。

We review recent results and conjectures for a simplified version of the depinning problem in presence of disorder which was introduced by Derrida and Retaux in 2014. For this toy model, the depinning transition has been predicted to be of the Berezinskii--Kosterlitz--Thouless type. Here we discuss under which integrability conditions this prediction can be proved and how it is modified otherwise.

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