کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
978941 | 933312 | 2010 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The effect of microscopic correlations on the information geometric complexity of Gaussian statistical models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
We present an analytical computation of the asymptotic temporal behavior of the information geometric complexity (IGC) of finite-dimensional Gaussian statistical manifolds in the presence of microcorrelations (correlations between microvariables). We observe a power law decay of the IGC at a rate determined by the correlation coefficient. It is found that microcorrelations lead to the emergence of an asymptotic information geometric compression of the statistical macrostates explored by the system at a faster rate than that observed in the absence of microcorrelations. This finding uncovers an important connection between (micro)correlations and (macro)complexity in Gaussian statistical dynamical systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 16, 15 August 2010, Pages 3117-3127
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 16, 15 August 2010, Pages 3117-3127
نویسندگان
S.A. Ali, C. Cafaro, D.-H. Kim, S. Mancini,