# The Dynamics of Concepts in a Homogeneous Community

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## 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

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**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