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Stochastic Processes

Chapter
Part of the Universitext book series (UTX)

Abstract

Questions:
  • How can the seemingly random firing pattern of a neuron encode any information about the inputs received?

  • What will eventually happen to a population when the number of offspring of each individual randomly fluctuates?

We introduce the theory of stochastic processes. The coding and decoding of input information in systems of neurons is then modeled in terms of Poisson processes. Whereas in the last chapter we have treated descendence relations backward in time, to trace the ancestors, here we use branching processes to predict the future of populations.

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

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