Elements of the random walk

Elements of the random walk
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DOI:
10.1017/cbo9780511610912
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发表时间:
2004-03
期刊:
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影响因子:
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通讯作者:
J. Rudnick;G. Gaspari
J. Rudnick;G. Gaspari
中科院分区:
其他
文献类型:
--
作者:
J. Rudnick;G. Gaspari

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前言1.技巧导论2.生成函数I.3.生成函数II:重现、所访问的位置和维度的作用4.边界条件、稳态和静电类比5.随机游动的变化6.随机游动的形状7.路径积分和自避8.随机游动的性质:标度导论9.游动的标度和临界现象10.游动和O(N)模型:平均场理论和自旋波11.标度、分数和重整化12.关于重正化群的更多内容参考索引.
Preface 1. Introduction to techniques 2. Generating functions I 3. Generating functions II: recurrence, sites visited, and the role of dimensionality 4. Boundary conditions, steady state, and the electrostatic analogy 5. Variations on the random walk 6. The shape of a random walk 7. Path integrals and self-avoidance 8. Properties of the random walk: introduction to scaling 9. Scaling of walks and critical phenomena 10. Walks and the O(n) model: mean field theory and spin waves 11. Scaling, fractals, and renormalization 12. More on the renormalization group References Index.