来自优化的平面图
Planar diagrams from optimization
摘要：
我们提出了一个新的玩具模型的杂聚物链能够形成典型的RNA分子的平面二级结构。在该模型中，链上相邻单体之间的序列间隔被视为猝灭随机变量。使用优化程序的一类特殊的凹型的潜力，借用最佳运输分析，我们推导出局部差分方程的基态自由能的链与平面（RNA-样）结构的配对链接。我们考虑相邻单体之间的间隔（截断高斯和无标度）的各种分布函数，并证明存在一个拓扑交叉从顺序基本嵌入（嵌套）配置的配对链接。
英文摘要：
We propose a new toy model of a heteropolymer chain capable of forming planar secondary structures typical for RNA molecules. In this model the sequential intervals between neighboring monomers along a chain are considered as quenched random variables. Using the optimization procedure for a special class of concave--type potentials, borrowed from optimal transport analysis, we derive the local difference equation for the ground state free energy of the chain with the planar (RNA--like) architecture of paired links. We consider various distribution functions of intervals between neighboring monomers (truncated Gaussian and scale--free) and demonstrate the existence of a topological crossover from sequential to essentially embedded (nested) configurations of paired links.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
