What does Trit 0 (ERGODIC) signify?

In the context of GF(3) logic, Trit 0 represents a neutral/ergodic state that is conserved across skill triplets to ensure mathematical consistency.

What is the primary function of the Ergodicity skill?

It allows Claude to apply dynamical systems theory to analyze how time averages relate to space averages in complex mathematical models.

How does it integrate with Julia?

The skill includes specific patterns for AlgebraicDynamics.jl, enabling the creation of compositional dynamical systems and resource-sharing machine logic.

Can this skill help with path analysis?

Yes, it is qualified for non-backtracking geodesic traversal, using Möbius filters to ensure states are not revisited in a skill invocation chain.

Ergodicity & Dynamical Systems

Name: Ergodicity & Dynamical Systems
Author: plurigrid

byplurigrid

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データサイエンスとML

Analyzes and models complex dynamical systems using ergodicity principles where time averages equate to space averages.

概要

This skill equips Claude with advanced capabilities for studying dynamical systems through the lens of ergodicity, providing tools to understand the qualitative behavior of differential equations and flows on manifolds. By integrating with AlgebraicDynamics.jl and utilizing triadic GF(3) logic, the skill enables rigorous analysis of phase spaces, equilibrium states, and bifurcations. It is particularly useful for developers and researchers working on topological computing, resource-sharing machines, and long-term stability modeling in complex systems.

主な機能

Stability and bifurcation point identification
Qualitative analysis of differential equations and manifolds
2 GitHub stars
Compositional modeling via AlgebraicDynamics.jl integration
GF(3) triadic logic for state conservation and balancing
Non-backtracking geodesic traversal with Möbius filtering

ユースケース

Modeling resource-sharing machines in computational biology or physics
Implementing topological chemputer logic for advanced path analysis
Analyzing long-term dynamics and limit sets in complex simulations

概要

主な機能

Stability and bifurcation point identification
Qualitative analysis of differential equations and manifolds
2 GitHub stars
Compositional modeling via AlgebraicDynamics.jl integration
GF(3) triadic logic for state conservation and balancing
Non-backtracking geodesic traversal with Möbius filtering

ユースケース

Modeling resource-sharing machines in computational biology or physics
Implementing topological chemputer logic for advanced path analysis
Analyzing long-term dynamics and limit sets in complex simulations