# The Dynamics of Concepts in a Homogeneous Community

^{1}

^{2}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Underlying Birth-Death Process in the Community

## 3. Dynamics of a Single Concept

**Figure 2.**Probability ${p}_{i}\left(t\right)$for different values of death rate $\gamma $ and significance ${\psi}_{i}$.

## 4. Long-Term Behavior of the Concepts

**Figure 3.**The self-information ${I}_{i}\left(t\right)=-{{\displaystyle \sum}}_{i=1}^{N+1}\mathrm{ln}{p}_{i}\left(t\right)$ over the transition period.

## 5. Discussion

## 6. Conclusions

## References

- Clay, C.J.; Madden, M.; Potts, L. (Eds.) Towards Understanding Community: People and Places, 1st ed.; Palgrave MacMillan: Hampshire, UK, 2008.
- Turner, T.C. Understanding Community: The Implications of Information Flow and Social Interactions in Online Discussion Groups. PhD Thesis, University of Washington, Washington, WA, USA, 2008. [Google Scholar]
- Gabora, L. The origin and evolution of culture and creativity. J. Memet.
**1997**, 1, 29–57. [Google Scholar] - Gomez-Rodriguez, M.; Leskovec, J.; Krause, A. Inferring networks of diffusion and influence. ACM Trans. Knowl. Discov. Data
**2012**. [Google Scholar] [CrossRef] - Gruhl, D.; Guha, R. Information diffusion through blogspace. In Proceedings of 13th International World Wide Web Conference (WWW’04), New York, NY, USA, 17–22 May 2004; pp. 491–501.
- Carey, S. The Origin of Concepts; Oxford University Press: New York, NY, USA, 2009. [Google Scholar]
- Gabora, L.; Rosch, E.; Aerts, D. Toward an ecological theory of concepts. Ecol. Psychol.
**2008**, 20, 84–116. [Google Scholar] [CrossRef] - Van Loocke, P.R. The Dynamics of Concepts: A Connectionist Model; Springer-Verlag: Berlin, Germany, 1994. [Google Scholar]
- Baddeley, A.D. Essentials of Human Memory; Psychology Press: Bristol, UK, 1999. [Google Scholar]
- Gallager, R.G. Information Theory and Reliable Communication; John Wiley & Sons: New York, NY, USA, 1968. [Google Scholar]
- Belen, S.; Kropat, E.; Weber, G.-W. On the classical Maki-Thompson rumor model in continuous time. Cent. Europ. J. Oper. Res.
**2011**, 19, 1–17. [Google Scholar] [CrossRef]

© 2013 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).

## Share and Cite

**MDPI and ACS Style**

Khmelnitsky, E.; Kagan, E.
The Dynamics of Concepts in a Homogeneous Community. *Entropy* **2013**, *15*, 2012-2022.
https://doi.org/10.3390/e15062012

**AMA Style**

Khmelnitsky E, Kagan E.
The Dynamics of Concepts in a Homogeneous Community. *Entropy*. 2013; 15(6):2012-2022.
https://doi.org/10.3390/e15062012

**Chicago/Turabian Style**

Khmelnitsky, Eugene, and Eugene Kagan.
2013. "The Dynamics of Concepts in a Homogeneous Community" *Entropy* 15, no. 6: 2012-2022.
https://doi.org/10.3390/e15062012