---
title: "Numerical indications of the q-generalised central limit theorem • CBPF Index"
description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaffb"
locale: es
meta:
  "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF."
  "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Numerical%2Bindications%2Bof%2Bthe%2Bq-generalised%2Bcentral%2Blimit%2Btheorem%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~THVpcyBHLiBNb3lhbm87IEMuIFRzYWxsaXM7IE11cnJheSBHZWxsLU1hbm4%2Cdetalhe_~MTUvMDcvMjAxMA%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmZmIi%2Cs_s13X8EHMq5_-2RgR.png"
  "og:image:height": "600"
  "og:image:type": image/png
  "og:image:width": "1200"
  "og:title": "Numerical indications of the q-generalised central limit theorem • CBPF Index"
  "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Numerical%2Bindications%2Bof%2Bthe%2Bq-generalised%2Bcentral%2Blimit%2Btheorem%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~THVpcyBHLiBNb3lhbm87IEMuIFRzYWxsaXM7IE11cnJheSBHZWxsLU1hbm4%2Cdetalhe_~MTUvMDcvMjAxMA%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmFmZmIi%2Cs_s13X8EHMq5_-2RgR.png"
---

> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **Numerical indications of the q-generalised central limit theorem**

**Luis G. Moyano; C. Tsallis; Murray Gell-Mann**

15/07/2010

[**Descargar PDF **0,3 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbaffb/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Numerical%20indications%20of%20the%20q-generalised%20central%20limit%20theorem)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>Luis G. Moyano; C. Tsallis; Murray Gell-Mann</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>15/07/2010</dd>

<dt>Descripción</dt>
<dd>We provide numerical indications of the $q$-generalised central limit theorem that has been conjectured (Tsallis 2004) in nonextensive statistical mechanics. We focus on $N$ binary random variables correlated in a {\it scale-invariant} way. The correlations are introduced by imposing the Leibnitz rule on a probability set based on the so-called $q$-product with $q \le 1$. We show that, in the large $N$ limit (and after appropriate centering, rescaling, and symmetrisation), the emerging distributions are $q_e$-Gaussians, i.e., $p(x) \propto [1-(1-q_e)\, \beta(N) x^2]^{1/(1-q_e)}$, with $q_e=2-\frac{1}{q}$, and with coefficients $\beta(N)$ approaching finite values $\beta(\infty)$. The particular case $q=q_e=1$ recovers the celebrated de Moivre-Laplace theorem.</dd>

<dt>Año</dt>
<dd>2005</dd>

<dt>Número</dt>
<dd>CBPF-NF-022/05</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

```json
{"@context":"https://schema.org","@graph":[{"@id":"https://index.cbpf.br/es#website","@type":"WebSite","description":"O CBPF INDEX é o sistema de acompanhamento da produção científica e tecnológica do CBPF. Nele é possível obter a lista de publicações de artigos, livros, relatórios técnicos, etc de toda a comunidade do CBPF.","inLanguage":"es-ES","name":"CBPF Index","url":"https://index.cbpf.br/es","publisher":{"@id":"https://index.cbpf.br/#identity"},"translationOfWork":{"@id":"https://index.cbpf.br/#website"}},{"@id":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaffb#webpage","@type":"WebPage","description":"CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF.","name":"Numerical indications of the q-generalised central limit theorem","url":"https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaffb","isPartOf":{"@id":"https://index.cbpf.br/es#website"},"potentialAction":[{"@type":"ReadAction","target":["https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbaffb"]}],"primaryImageOfPage":{"@id":"https://index.cbpf.br/#logo"}},{"@id":"https://index.cbpf.br/#identity","@type":"Organization","alternateName":"CBPF","description":"Unidade de pesquisa do Ministério da Ciência, Tecnologia e Inovação dedicada à pesquisa básica em Física, suas aplicações e à formação científica.","email":"web@cbpf.br","legalName":"Centro Brasileiro de Pesquisas Físicas/CBPF","name":"Centro Brasileiro de Pesquisas Físicas","taxID":"04.044.443/0001-35","telephone":"+55-21-2141-7100","url":"https://cbpf.br","address":{"@type":"PostalAddress","streetAddress":"Rua Dr. Xavier Sigaud, 150","addressLocality":"Rio de Janeiro","addressRegion":"RJ","postalCode":"22290-180","addressCountry":"BR"},"logo":{"@id":"https://index.cbpf.br/#logo"},"sameAs":["https://twitter.com/cbpf_mcti"]},{"@id":"https://index.cbpf.br/#logo","@type":"ImageObject","caption":"Centro Brasileiro de Pesquisas Físicas","contentUrl":"https://index.cbpf.br/icon-512x512-light.png","inLanguage":"es-ES","url":"https://index.cbpf.br/icon-512x512-light.png"}]}
```

## Sitemap

See the full [sitemap](https://index.cbpf.br/sitemap.md) for all pages.