Scaling Invariance is a mathematical property of stochastic processes whereby the statistical distribution of the process remains unchanged under spatial or temporal scaling transformations, specifically characterized by the invariance of the rescaled Brownian motion $ \{c^{-1/2} B_{ct}\}_{t \geq 0} $ in distribution for any positive constant $ c $.
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Variants
Scale Invariance
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Discrete-scale invariance and complex dimensions
Physics Reports · 1998 · 550 citations · Full text
Education, Mathematics, Physics +14
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- VKVijay K. Gupta
Cooperative Institute for Research in Environmental Sciences, United States
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Centre National de la Recherche Scientifique
Paris, France
18 h-index
38 publications
2.9K citations
Université de Lorraine
Nancy, France
8 h-index
11 publications
610 citations
Friedrich-Alexander-Universität Erlangen-Nürnberg
Erlangen, Germany
6 h-index
9 publications
387 citations
University of California, Berkeley
Berkeley, United States
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Consejo Nacional de Investigaciones Científicas y Técnicas
Buenos Aires, Argentina
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Boston University
Boston, United States
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European Organization for Nuclear Research
Geneva, Switzerland
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Cambridge, United States
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