Amplitude for paths in sample space?

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SUMMARY

The discussion centers on the concept of "amplitude" in relation to paths through a sample space, specifically questioning whether there is a study that quantifies these paths from one element to another. Participants explore the idea of transition probabilities as a potential framework for understanding these amplitudes. The conversation highlights the need for clarity in defining terms and concepts related to sample spaces and their associated probabilities.

PREREQUISITES
  • Understanding of sample space in probability theory
  • Familiarity with transition probabilities
  • Basic knowledge of amplitude in quantum mechanics
  • Concepts of path integrals in statistical mechanics
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  • Research "transition probabilities in Markov chains"
  • Explore "quantum amplitude and path integrals"
  • Investigate "sample space definitions in probability theory"
  • Study "applications of amplitude in quantum mechanics"
USEFUL FOR

Researchers in probability theory, physicists studying quantum mechanics, and students seeking to understand the relationship between paths in sample spaces and transition probabilities.

Mike2
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Is there any study anywhere considering paths through a sample space from one element to another? Is there an "amplitude" associated with these paths?
 
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Do you mean a transition probability ??
 

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