🌐 [translation-sync] [tom] edits to a few lectures [ge_arrow, affine_risk_prices, and recovery_trio]

[mmcky]

Automated Translation Sync

This PR contains automated translations from QuantEcon/lecture-python.myst.

Source PR

#1059 - [tom] edits to a few lectures [ge_arrow, affine_risk_prices, and recovery_trio]

Files Updated

• ✏️ lectures/affine_risk_prices.md
• ✏️ .translate/state/affine_risk_prices.md.yml
• ✏️ lectures/long_run_risk_operator.md
• ✏️ .translate/state/long_run_risk_operator.md.yml
• ✏️ lectures/ross_recovery.md
• ✏️ .translate/state/ross_recovery.md.yml
• ✏️ lectures/_static/quant-econ.bib

Details

• Source Language: en
• Target Language: zh-cn
• Model: claude-sonnet-5

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This PR was created automatically by the translation action.

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✅ Translation Quality Review

Verdict: PASS | Model: claude-sonnet-5 | Date: 2026-09-20
Routing: editor — 2 minor finding(s) in gating categories (accuracy/terminology/syntax/diff-check/other); accuracy 8 below floor 9; terminology 8 below floor 9
Shadow gate: would NOT auto-merge (recorded only; no action taken)

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📝 Translation Quality

Criterion	Score
Accuracy	8/10
Fluency	8/10
Terminology	8/10
Formatting	8/10
Overall	8/10

Summary: 翻译整体质量很高，数学内容、代码和格式都得到了准确保留，专业术语翻译规范一致。发现的问题都是轻微的风格性建议，不影响理解和使用。三篇讲座（仿射风险价格模型、长期风险算子方法、恢复定理）的核心概念和推导过程都被准确传达，符合学术翻译的专业标准。 数学公式、代码块和 MyST 指令格式在整个长文档中都被完整保留，未发现语法错误 专业术语翻译总体准确一致，如'随机贴现因子'、'风险中性概率'、'佩龙-弗罗贝尼乌斯定理'等均遵循标准译法 长难句的拆分和重组处理得当，保持了原文的逻辑结构和学术严谨性 中英文标点符号使用规范，行内 MyST 引用与中文文本之间的空格处理正确

Suggestions:

• [minor · terminology] lectures/affine_risk_prices.md — ### 收益率曲线形状: 图例标签中将 'Low state' 等译为 '低状态'、'高状态'，但更贴近汉语习惯的表达可能是 '低利率状态'、'高利率状态' 以更清晰地对应上下文语境（该图确实是关于短期利率的状态）。这不是错误，但可读性可以进一步提升。 → 低利率状态 / 中位利率状态 / 高利率状态
• [minor · fluency] lectures/affine_risk_prices.md — ### 一个数值说明: '我们保持与上面相同的物理状态动态和短期利率设定' 一句稍显生硬，可以调整语序使其更符合中文表达习惯。 → 我们保持物理状态动态和短期利率设定与上文相同
• [minor · terminology] lectures/long_run_risk_operator.md — ### 离散时间直觉: 'This parallels the logic of a transition matrix' 被译为 '这类似于转移矩阵的逻辑'，术语 'transition matrix' 在术语表虽未直接列出但通常译为'转移矩阵'，此处翻译准确，但整体句子稍显直译腔，可考虑更流畅的表达。 → 无需修改，仅为风格建议
• [minor · fluency] lectures/ross_recovery.md — ### 转移独立性: '转移独立性之所以有帮助，是因为它把 $\phi$ 的所有 $m^2$ 个项绑定在一起' 中 '把...绑定在一起' 略显口语化，学术语境下可考虑更正式的表达，如'相互关联'或'联系起来'。 → 转移独立性之所以有帮助，是因为它将 $\phi$ 的所有 $m^2$ 个项联系在一起

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🔍 Diff Quality

Check	Status
Scope Correct	✅
Position Correct	✅
Structure Preserved	✅
Heading-map Correct	✅
Overall	10/10

Summary: The translated documents correctly mirror the English source changes in scope, position, structure, and heading-map updates across all three files.

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This review was generated automatically by action-translation review mode.

[Copilot]

Copilot review overview

🟡 Changes recommended

The updated recovery code path in lectures/ross_recovery.md uses a numerically brittle “strict positivity” check while effectively ignoring tol, which can cause the lecture’s code cell to fail or produce invalid 1/z values.

Get a fresh assessment by requesting another Copilot review.

Review effort: Lite
Findings: 1

Open (1)

• Unused tol and fragile positivity check in recover_natural_distribution · New

What changed in this PR

This PR syncs the zh-cn lectures with upstream content updates from QuantEcon/lecture-python.myst (source PR #1059), primarily refining explanations, adding/adjusting exercises and numerical illustrations, and updating bibliography/citation support.

Changes:

• Expanded and clarified several lecture narratives and numerical illustrations in affine_risk_prices, long_run_risk_operator, and ross_recovery.
• Added new exercises/solutions and supporting code cells (including additional SciPy usage) to align with upstream content.
• Updated translation-sync state metadata and appended new BibTeX entries required by newly referenced citations.

File	Description
lectures/​ross_recovery.md	Updates exposition and code cells (notably recovery implementation robustness and additional discussion blocks).
lectures/​long_run_risk_operator.md	Adds/clarifies sections, code-cell outputs, and a new “two frontiers” comparison block.
lectures/​affine_risk_prices.md	Adds new sections/exercises, expands numerical illustrations, and enhances Monte Carlo diagnostics/output.
lectures/​_static/​quant-econ.bib	Adds new citation entries referenced by updated lecture content.
.translate/​state/​ross_recovery.md.yml	Updates translation sync metadata (source SHA, model, tool version, mode).
.translate/​state/​long_run_risk_operator.md.yml	Updates translation sync metadata (source SHA, model, tool version, mode).
.translate/​state/​affine_risk_prices.md.yml	Updates translation sync metadata (source SHA, model, tool version, mode).

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