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• W3102660694 startingPage "P04007" @default.
• W3102660694 abstract "We consider the hierarchic tree Random Energy Model with continuous branching and calculate the moments of the corresponding partition function. We establish the multifractal properties of those moments. We derive formulas for the normal distribution of random variables, as well as for the general case. We compare our results for the moments of partition function with corresponding results of logarithmic 1-d REM and conjecture a specific power-law tail for the partition function distribution in the high-temperature phase. Our results establish a connection between reaction-diffusion equations and multi-scaling." @default.
• W3102660694 created "2020-11-23" @default.
• W3102660694 creator A5068500779 @default.
• W3102660694 date "2012-04-12" @default.
• W3102660694 modified "2023-09-23" @default.
• W3102660694 title "The calculation of multifractal properties of directed random walks on hierarchic trees with continuous branching" @default.
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• W3102660694 doi "https://doi.org/10.1088/1742-5468/2012/04/p04007" @default.
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