analyze-diffusion-dynamics SKILL.md skillA

analyze-diffusion-dynamics from pjt222/agent-almanac is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.

Install it, pinned
mdr add pjt222/agent-almanac/analyze-diffusion-dynamics@v1.0

Pins v1.0 in mdr.lock. Pin the fingerprint instead.

Audit grade
A, 17 of 17 checks passed
Kind
SKILL.md skill
Repository
pjt222/agent-almanac
Path
i18n/caveman-lite/skills/analyze-diffusion-dynamics/SKILL.md
Versions recorded
4
Latest version
v1.0, committed Aug 17, 2026
First version recorded
Apr 19, 2026
Size
20,771 bytes
Repository stars
43
License
MIT

Analyze the dynamics of diffusion processes using stochastic differential equations, Fokker-Planck equations, first-passage time distributions, and parameter sensitivity analysis. Use when deriving probability density evolution for a continuous-time diffusion process, computing mean first-passage times for bounded diffusion, analyzing how drift and diffusion parameters affect process behavior, or validating closed-form solutions against stochastic simulation.

Collected from public GitHub. Every version is saved exactly as it was and never changes. Install it at an exact version with the mdr tool, and every file is checked before it reaches your agent. The main file is checked against the SHA-256 fingerprint recorded here, and the others against the fingerprints GitHub keeps for its source commit. The automatic checks below grade the latest version, and the same checks always give the same file the same grade.

What the file says

# Analyze Diffusion Dynamics

Characterize the behavior of diffusion processes by specifying their stochastic differential equations, deriving the corresponding Fokker-Planck equation, computing first-passage time distributions analytically or numerically, performing parameter sensitivity analysis, and validating analytical results against Monte Carlo simulation.

## When to Use

- Deriving the probability density evolution of a continuous-time diffusion process
- Computing mean first-passage times or full first-passage time distributions for bounded diffusion
- Analyzing how drift, diffusion coefficient, and boundary parameters affect process behavior
- Validating closed-form solutions against stochastic simulation
- Building intuition for the dynamics underlying drift-diffusion models or generative diffusion processes

## Inputs

- **Required**: SDE specification (drift function, diffusion coefficient, domain/boundaries)
- **Required**: Parameter values or ranges for the drift and diffusion functions
- **Required**: Boundary conditions (absorbing, reflecting, or mixed)
- **Optional**: Time horizon for transient analysis (default: auto-detect from dynamics)
…

Read the whole file at its exact version.

How to install

The exact contents, by fingerprint
mdr add pjt222/agent-almanac/analyze-diffusion-dynamics@sha256:21c5724bd97e7ef5

The line at the top of this page pins the label v1.0, which is what most people want. This one pins the sha256 fingerprint of the contents instead, so it survives a label being moved. Either way the exact version is written to mdr.lock, and mdr install downloads and checks those contents again, so it installs them exactly or stops with an error.

Badge

mdr badge

[![mdr](https://markdownregistry.com/badge/art_bbeq4ylp7s2zvig4.svg)](https://markdownregistry.com/a/art_bbeq4ylp7s2zvig4)

4 badge image fetches in 30 days. What the badge shows.

Versions

The registry has recorded 4 versions of this file, between Apr 19, 2026 and Aug 17, 2026, about one every 40 days.

versioncommittedcommitsizeaudit
v1.0 latest2026-08-17 a784899 20,771 BA view · diff
v1.02026-06-05 33b561c 20,742 BA view · diff
v1.02026-04-19 a31852a 20,730 BA view · diff
v1.02026-04-19 e334ebd 20,777 BA view

Audit of the latest version

A  17 of 17 checks passed. Fixed automatic checks with no AI involved, so the same checks give the same answer every run.
  • pass: Frontmatter block present
  • pass: Frontmatter declares a name
  • pass: Frontmatter declares a description
  • pass: Size between 200 bytes and 200 KB (20771 bytes)
  • pass: No zero-width or bidi control characters
  • pass: No instruction hidden inside an HTML comment
  • pass: No link to an exfiltration or paste host
  • pass: No credential-shaped string
  • pass: No instruction to send local credentials anywhere
  • pass: No text hidden with inline styles
  • pass: No prompt-injection phrasing
  • pass: No curl or wget piped into a shell
  • pass: No recursive delete of root, home or parent
  • pass: No instruction to read or print local credentials
  • pass: No base64 blob over 200 characters
  • pass: No link to a raw IP address
  • pass: No script tag

Source

GitHub

pjt222/agent-almanac · 43 stars · license MIT · pushed 2026-11-03 · branch main

API

GET https://markdownregistry.com/api/v1/artifacts/art_bbeq4ylp7s2zvig4
GET https://markdownregistry.com/api/v1/resolve?ref=pjt222/agent-almanac/analyze-diffusion-dynamics
GET https://markdownregistry.com/api/v1/blob/21c5724bd97e7ef587f3a0e2b195eeddf183a44f33541bfc7dc935eb0f502c10

Your AI assistant does the legwork. You hear about the deals worth your word. Hand yours the standing instructions at modelranch.com and it joins the network that reads files like this one.

Guides: the SKILL.md format and its required fields · what to check before you install a skill · how to pin a skill to an exact version · where to find agent skills · keeping a team on the same skills · which agent file does what.

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