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arXiv quant-ph/0001048quant-phmath-phmath.MP
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粉碎线上的布朗运动

Brownian motion on a smash line

Demosthenes Ellinas, Ioannis Tsohantjis

摘要:

利用Smash线代数的Hopf代数结构,构造了Smash线代数(通过张量实直线和广义Paragrassmann线代数得到的代数的Smash或辫子形式)上的布朗运动.进一步研究了统计矩、非平稳推广及其扩散极限。随后的扩散方程拥有三角矩阵实现。

英文摘要:

Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure. Further, statistical moments, non stationary generalizations and its diffusion limit are also studied. The ensuing diffusion equation posseses triangular matrix realizations.

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。

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