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Mathematical SETI

Part of the series Springer Praxis Books pp 293-331

Date:

Exponential evolution in time as a geometric Brownian motion

  • Claudio MacconeAffiliated withInternational Academy of Astronautics and Istituto Nazionale di Astrofisica Email author 

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Abstract

On January 8, 2012, this author came to realize that his statistical Drake equation, described in Chapter 1 and subsequent chapters of this book, is the special static case (i.e., “the picture”, so to say) of a more general time-dependent statistical Drake equation (i.e., “the movie”, so to say) which we study in this chapter. Also, this result is thus a powerful generalization of all previous results described in the first 10 chapters of this book. This chapter is an introduction to a new exciting mathematical topic, which we call “exponential evolution in time of the statistical Drake equation.“