http://programmer.ie/tags/stochastic-simulation/ Recent content in Stochastic Simulation on Programmer.ie: Modern AI programming Hugo en-us Mon, 10 Aug 2026 18:34:00 +0100 http://programmer.ie/post/cellular-automata-from-first-principles-08/ Mon, 10 Aug 2026 18:34:00 +0100 http://programmer.ie/post/cellular-automata-from-first-principles-08/ <h1 id="cellular-automata-from-first-principles-08-add-randomness-without-losing-the-model">Cellular Automata From First Principles 08: Add Randomness Without Losing the Model</h1> <p>So far every transition in the book has been deterministic.</p> <p>Given the same state, the next state is fixed.</p> <p>That makes deterministic automata unusually easy to debug: if we preserve the initial condition and rule, we preserve the trajectory.</p> <p>But many useful models need another ingredient.</p> <p>A tree may ignite.</p> <p>An organism may reproduce.</p> <p>A driver may hesitate.</p>