Lean Math Stochastic
USE FOR: probability theory, stochastic processes, Markov chains, time-series analysis, ergodic theory, row-stochastic matrices, mixing times, spectral gaps, stationary distributions, and any stochastic dynamics in Lean 4. DO NOT USE FOR: deterministic dynamical systems (use @lean-math-dynamical); abstract measure-theoretic typeclass plumbing (use @lean-math-foundations); pure topology (use @lean-math-analysis); writing one specific proof (use @lean-proof). TRIGGERS: probability, stochastic, Markov chain, time series, ergodic, mixing time, spectral gap, stationary distribution, row-stochastic, martingale.
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From the source SKILL.md
Guide to formalizing probability, stochastic processes, and time series in Lean 4.
What this skill does
Lean Math Stochastic is a community-contributed Claude Code skill in the math-stats sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/lean-math-stochastic/ and loads when your prompt matches the skill's trigger.
Who uses this skill
The Lean Math Stochastic Claude Code skill is built for researchers, data scientists, academics, and analysts working with complex data and scientific literature. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 196,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).
How to install
Free
Manual install (2 steps)
mkdir -p ~/.claude/skills/lean-math-stochastic
curl -L https://claudskills.com/skills/lean-math-stochastic/SKILL.md \
-o ~/.claude/skills/lean-math-stochastic/SKILL.md
Or just download SKILL.md directly and drop it into ~/.claude/skills/lean-math-stochastic/. Claude Code auto-discovers it on next session.
Skills live at ~/.claude/skills/lean-math-stochastic/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\lean-math-stochastic\SKILL.md on Windows. See the full install guide for step-by-step instructions.
Telegram
📱 Install from your phone or desktop Telegram
Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →
Pro
One-click install via the desktop app
The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.
Pro
For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.
Frequently asked questions
How do I install the Lean Math Stochastic Claude Code skill?
Install via the ClaudSkills desktop app (one click) or copy
SKILL.md from the source repository to
~/.claude/skills/lean-math-stochastic/SKILL.md and restart Claude Code. Both flows are detailed at
claudskills.com/install/.
What does the Lean Math Stochastic skill do?
USE FOR: probability theory, stochastic processes, Markov chains, time-series analysis, ergodic theory, row-stochastic matrices, mixing times, spectral gaps, stationary distributions, and any stochastic dynamics in Lean 4. DO NOT USE FOR: deterministic dynamical systems (use @lean-math-dynamical); abstract measure-theoretic typeclass plumbing (use @lean-math-foundations); pure topology (use @lean-math-analysis); writing one specific proof (use @lean-proof). TRIGGERS: probability, stochastic, Markov chain, time series, ergodic, mixing time, spectral gap, stationary distribution, row-stochastic, martingale.
Is this skill free to install?
Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.
When should I use the Lean Math Stochastic skill?
Use Lean Math Stochastic when your Claude Code task falls under the Science & Research category — specifically in the math stats area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Lean Math Stochastic" or describe the task and let Claude pick). Browse related skills at
/category/science/.
What is a Claude Code skill and how does the Lean Math Stochastic skill fit in?
A Claude Code skill is a
SKILL.md file that lives under
~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Lean Math Stochastic is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Science & Research category. Learn more at
/learn/what-is-a-claude-skill/.
Attribution & license
Cite this skill
If you reference this skill in a blog post, paper, or documentation, you can cite it as:
APA
r-irbe. (2026). Lean Math Stochastic [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/lean-math-stochastic/
BibTeX
@misc{lean-math-stochastic-2026,
author = {r-irbe},
title = {Lean Math Stochastic [Claude Code skill]},
year = {2026},
publisher = {ClaudSkills},
url = {https://claudskills.com/skills/lean-math-stochastic/}
}Embed this skill
Promote, attribute, or link this skill from your own README, blog post, or documentation. All three snippets are free to use — no sign-up, no API key. More distribution surfaces →
Badge
[](https://claudskills.com/skills/lean-math-stochastic/?utm_source=badge&utm_medium=readme&utm_campaign=skill_badge)
<script>
<script src="https://claudskills.com/embed/lean-math-stochastic.js" async></script>
<iframe>
<iframe src="https://claudskills.com/embed/lean-math-stochastic.html" width="100%" height="160" frameborder="0" loading="lazy" title="ClaudSkills: Lean Math Stochastic"></iframe>
Security scan
Grade A · scanned 2026-09-28 — free static scan against the OWASP Agentic Skills Top 10.
The scan flagged 1 of 10 categories (filesystem), including lower-severity patterns. Patterns shown inside code fences are weighted as examples rather than instructions — read the grading methodology for what this does and does not guarantee.
- ✓ Prompt injection
- ✓ Data exfiltration
- ✓ Supply chain
- ✓ Reverse shell
- ✓ Credentials
- ✓ Execution
- ⚠ Filesystem
- ✓ Persistence
- ✓ Obfuscation
- ✓ Network
Show this grade on your repo (click to copy):
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