Category: Chaos Theory

• Is Goldbach’s Conjecture ‘Likely’ True?

  

  Michael Emmerich, Jyväskylä, 8.8.2026 Goldbach’s conjecture says that every even integer greater than 2 is a sum of two primes. It is either true or false; there is no literal probability attached to its truth value. So what could it mean to say that the conjecture is “likely” to be true? A useful interpretation is…

  Michael Emmerich

  August 8, 2026

  Chaos Theory, Computational Science, Mathematical Playground, Prime Numbers, Small Python Math Examples

  additive bases, additive number theory, Goldbach’s conjecture, Hardy–Littlewood conjecture, prime density, Prime Numbers, probabilistic number theory, pseudorandomness, random sets

• The Tent Map – A Simple Path to Chaos

  

  Michael Emmerich, August 20th 2025 Chaotic time series can emerge from very simple deterministic rules. The tent map is a classical example. It shows how fixed points can be unstable, how orbits diverge, and how randomness-like behavior arises from a piecewise linear rule. The Tent Map The tent map is defined on the interval by…

  Michael Emmerich

  August 19, 2025

  Chaos Theory, Computational Science, Mathematical Playground, Prime Numbers, Small Python Math Examples

  Binary Shift Map, Chaos Theory, Dynamical Systems, mathematics, Periodic Maps, Prime Numbers, probability, Tent Map