Concentration results for directed polymer with unbounded jumps
Concentration results for directed polymer with unbounded jumps
复制标题
具有无界跳跃的定向聚合物的浓度结果
DOI：
10.30757/alea.v15-01
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
S. Nakajima
中科院分区：
文献类型：
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作者：
S. Nakajima
研究了无规环境中定向高分子的自由能及其相关量。允许聚合物进行无界跳跃，环境由伯努利变量给出。我们首先建立了零温下聚合物基态能量的浓度。其次，我们还证明了有限温度下自由能的相同性质。在证明中，我们使用的事实，任何聚合物的最大跳跃接近最小的能量是不是太大的概率很高。从第一通道渗流的观点来看，这本身就是一个有趣的性质。
We study the free energy and its relevant quantity for the directed polymer in random environment. The polymer is allowed to make unbounded jumps and the environment is given by the Bernoulli variables. We first establish the concentration of the ground state energy of polymer at zero temperature. Secondly, we also prove the same property of the free energy at finite temperature. In the proof, we use the fact that the maximum jump of any polymer nearly minimizing energy is not too large with high probability. This is an interesting property itself from the first passage percolation viewpoint.
DOI：
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发表时间：
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期刊：
Latin American Journal of Probability and Statistics
影响因子：
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作者：
福島竜輝;吉田伸生
通讯作者：
吉田伸生
影响因子：
1.4
作者：
Quansheng Liu;F. Watbled
通讯作者：
Quansheng Liu;F. Watbled