Thirty-one-chapter public reading edition · thirtyone-chapters-11e3e21
Haobai Wang · Chapters 1–31 · English working translations.
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Existing formal website: 9 chapters, version 7
Official website · 2026-10-26
Deployed source commit: 492ef1e65ce0558cf31823a6c46e9ad72b67c431
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Formal manuscript snapshot ZIP · Release evidence and file manifest
Manuscript snapshot SHA-256: eb7239c53d1d5d9351ec2921e9df4612bfa13b67f286dbcf2b9809499d816c06
Public eight-chapter source snapshot
GitHub · b64f4ab — Public source does not imply a formal book release or final mathematical or historical approval.
Current chapter preview versions
preview-e0bd9272f0a2 · The entries below identify this thirtyone-chapter public reading edition; English translations await author review.
Chapter 1: A Game of Chance Left Unfinished
Primary author: Haobai Wang
中文 · ch01-zh-13aef92ae472
SHA-256: 13aef92ae4724b4b4c8b5aeea1462d17e345c72b8cb5c761a89edae63788243e
Last content Git commit (may be local only): 37b41ff936305b3f0b5ce2840675b729a14d5cca
English · ch01-en-8755a4871493
SHA-256: 8755a4871493f31d780be02a160a3b3bd1bb2a630d3d0ceeab050549c888868e
Last content Git commit (may be local only): c83448edd3d6d6c6b4efb4df67295371659e55d5
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_AND_APPROVED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: NOT_PASSED_FINAL_REVIEW
Chapter 2: From Chance to Knowledge—How Do We Discover Unknown Probabilities?
Primary author: Haobai Wang
中文 · ch02-zh-67f96226c5fc
SHA-256: 67f96226c5fc864eef686e9994db2d039c424444f16e66d240dee6017501596a
Last content Git commit (may be local only): 37b41ff936305b3f0b5ce2840675b729a14d5cca
English · ch02-en-877bf501293c
SHA-256: 877bf501293c0c9ac633c55b9b104a9e0e483bd705a21b3f5421b01620fde578
Last content Git commit (may be local only): c83448edd3d6d6c6b4efb4df67295371659e55d5
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_AND_APPROVED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: NOT_PASSED_FINAL_REVIEW
Chapter 3: The Birth of the Bell Curve—Why Do Countless Random Phenomena Approach the Same Distribution?
Primary author: Haobai Wang
中文 · ch03-zh-3ce001a8524b
SHA-256: 3ce001a8524b13a34da67c32bc07592a95d16377aff7f4ed3f78d5aa08773f5b
Last content Git commit (may be local only): 252d9b74b69e1bb93cec053397e492af015ec741
English · ch03-en-41700173640f
SHA-256: 41700173640fcf48154d87355ff12b32a0936f973e21b594dc3d1d1283bf90d7
Last content Git commit (may be local only): 252d9b74b69e1bb93cec053397e492af015ec741
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_FORMALLY_READ_OR_ACCEPTED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: NOT_PASSED_FINAL_REVIEW
Chapter 4: When Randomness Enters Time—From Random Walks to Brownian Motion
Primary author: Haobai Wang
中文 · ch04-zh-07af2fb31042
SHA-256: 07af2fb31042890a84e4f1fd33b39e4b2bc4073b6e8e49dd66dacc316d49309e
Last content Git commit (may be local only): 09052eca3ed993211d062f810b1e4dd01eed53a5
English · ch04-en-fdbc3299fbd8
SHA-256: fdbc3299fbd8bb58dbc7a9021e4c3f1963519b85114704404bb55cf9053c089e
Last content Git commit (may be local only): 09052eca3ed993211d062f810b1e4dd01eed53a5
Engineering build: Local pages generated (not academic approval)
Author reading state: CORE_READ_AND_APPROVED_EPILOGUE_REVISION_PENDING
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: NOT_PASSED_FINAL_REVIEW
Chapter 5: The Price of an Infinite World—Why Does Probability Need Measure Theory?
Primary author: Haobai Wang
中文 · ch05-zh-96ce49ea02f7
SHA-256: 96ce49ea02f739700393d1febed32c353be47bcedc2f0cb0fb4f149020917782
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
English · ch05-en-2d43c0f0e705
SHA-256: 2d43c0f0e705f9ca7058b448128d42873cc04b72c44b6ac851c10156df5133e4
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_FORMALLY_READ_OR_ACCEPTED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: NOT_PASSED_FINAL_REVIEW
Chapter 6: The Rebirth of the Average—From Weighted Sums to the Lebesgue Integral
Primary author: Haobai Wang
中文 · ch06-zh-2663ea1806fc
SHA-256: 2663ea1806fc26d134cb82bf112dad89a38d7d5d4fb3e9ad087fae745a15dc33
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
English · ch06-en-7220fb2c8b05
SHA-256: 7220fb2c8b0555cfdc9825fa9b3ec10a47ea5f6365e27c7f2b36ff13a10be16b
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_FORMALLY_READ_OR_ACCEPTED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: NOT_PASSED_FINAL_REVIEW
Chapter 7: What Does Convergence Mean? Four Limits in a Random World
Primary author: Haobai Wang
中文 · ch07-zh-56bd85f8860c
SHA-256: 56bd85f8860ce7b69c33031df04f03567e20311e968ec43de4da900908b5e664
Last content Git commit (may be local only): d123d2e63c8b71a429b89e3cb5c393c56e2f15cf
English · ch07-en-a253bca6b555
SHA-256: a253bca6b555aafd23b0d0e86a532bd192cc6183ae7896087bd3613bf3f71940
Last content Git commit (may be local only): c83448edd3d6d6c6b4efb4df67295371659e55d5
Engineering build: Local pages generated (not academic approval)
Author reading state: REVISED_MANUSCRIPT_READ_AND_ACCEPTED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: SOURCED_NOT_FINAL_REVIEW
Chapter 8: How Can We Construct an Infinite Random Experiment?
Primary author: Haobai Wang
中文 · ch08-zh-a01d3147929e
SHA-256: a01d3147929e96aaff254ac32092fcb81d6b022f5d08657c4d0f9d0dad86a536
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
English · ch08-en-440098ae9971
SHA-256: 440098ae9971a3d6a69d3618a4dfe6ae01957df696bd42a1e4c5dd1fc4433008
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
Engineering build: Local pages generated (not academic approval)
Author reading state: MAIN_TEXT_READ_AND_APPROVED_TARGETED_TRANSITIONS_AUTHORIZED
Mathematical review: NOT_PASSED_FINAL_REVIEW
Historical verification: PRIMARY_BIBLIOGRAPHY_RECORDED_NOT_FINAL_REVIEW
Chapter 9: After Seeing Part of the World—Conditional Expectation and Information
Primary author: Haobai Wang
中文 · ch09-zh-23a3efff0d5b
SHA-256: 23a3efff0d5b607b2fd9807e6654f0a46eb1e707be4f7f2a92fde08db33c9278
Last content Git commit (may be local only): 0398ad95993b2e7c6f87d824e85574caf5c383c5
English · ch09-en-71874c0148bd
SHA-256: 71874c0148bd69e7bd02dcdd2b60f38480550b81d3db8737f7c303d221826521
Last content Git commit (may be local only): 0398ad95993b2e7c6f87d824e85574caf5c383c5
Engineering build: Local pages generated (not academic approval)
Author reading state: MAIN_TEXT_READ_AND_APPROVED_TARGETED_ADDITIONS_AUTHORIZED
Mathematical review: NEW_PROOFS_CHECKED_NOT_FINAL_REVIEW
Historical verification: PRIMARY_BIBLIOGRAPHY_CHECKED_NOT_FINAL_REVIEW
Chapter 10: How Can One Probability Be Decomposed in Terms of Another?—Densities, Conditional Laws and Probability Kernels
Primary author: Haobai Wang
中文 · ch10-zh-d7936210e539
SHA-256: d7936210e53916250665e658e25f35a74a875accabc7594e54665481f660deb3
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
English · ch10-en-36a082c96728
SHA-256: 36a082c967287501a13301672d4f41968e10d09e96e57d82f41a413813331ec6
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
Engineering build: Local pages generated (not academic approval)
Author reading state: MAIN_TEXT_READ_AND_APPROVED_TARGETED_ADDITIONS_AUTHORIZED
Mathematical review: NEW_PROOFS_CHECKED_NOT_FINAL_REVIEW
Historical verification: PRIMARY_BIBLIOGRAPHY_CHECKED_NOT_FINAL_REVIEW
Chapter 11: How Can a Distribution Be Recorded by a Function?—Characteristic Functions, Independent Sums and Gaussian Limits
Primary author: Haobai Wang
中文 · ch11-zh-b2b099fd1919
SHA-256: b2b099fd191928a19f8ec7a9b2743b5e1a1f236e20d4f0a65258851ce0029782
Last content Git commit (may be local only): 8b7630d1ee7dd502b8aaf37393f2a2eec2365a74
English · ch11-en-e3c1626860fa
SHA-256: e3c1626860facf109009a7f312d6cabdfb51283faee7d9546d1c12b6d3183544
Last content Git commit (may be local only): 8b7630d1ee7dd502b8aaf37393f2a2eec2365a74
Engineering build: Local pages generated (not academic approval)
Author reading state: MAIN_TEXT_READ_AND_ADOPTED
Mathematical review: CONTINUOUS_VERIFICATION_NOT_FINAL_REVIEW
Historical verification: PRIMARY_BIBLIOGRAPHY_CHECKED_NOT_FINAL_REVIEW
Chapter 12: When Can Infinitely Many Additions Still Have an Answer?
Primary author: Haobai Wang
中文 · ch12-zh-08a787e5184f
SHA-256: 08a787e5184f58c7ff205099719c6ee18effc835cd212560ccc416c22ce0d62e
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
English · ch12-en-61b08d8b3240
SHA-256: 61b08d8b3240f75028db31ea0a009de92f193086f39f233f6b56ef3ef77dffdb
Last content Git commit (may be local only): 9443ba3cef4de68c2c2b81ee2414db7f7652e15b
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_YET_READ
Mathematical review: FULL_WRITTEN_PROOFS_CHECKED_NOT_FINAL_REVIEW
Historical verification: PRIMARY_PUBLICATION_RECORD_CHECKED_NOT_FINAL_REVIEW
Chapter 13: Why Do Rare Events Produce New Stable Laws?
Primary author: Haobai Wang
中文 · ch13-zh-8c6c8bb2598c
SHA-256: 8c6c8bb2598cf86b83678cd30c1978d300add82f77aaca43c252a0059531be0c
Last content Git commit (may be local only): f8a2c7d6eed27ec7a715fcbb9b84bcc13f907522
English · ch13-en-f97c9ad75dd5
SHA-256: f97c9ad75dd5f902201c7ddb434ba6d1f703fdae5c7c583cab8d9d0ad4f7b58a
Last content Git commit (may be local only): f8a2c7d6eed27ec7a715fcbb9b84bcc13f907522
Engineering build: Local pages generated (not academic approval)
Author reading state: MAIN_TEXT_READ_AND_ADOPTED
Mathematical review: LOCAL_CLT_SPAN_CONSTANT_PARITY_AND_DISCRETIZED_TV_CHECKED_NOT_FINAL_REVIEW
Historical verification: GNEDENKO_1948_PRIMARY_BIBLIOGRAPHY_CHECKED_NOT_FULL_ORIGINAL_PROOF_VERIFICATION
Chapter 14: Not Every Limit Is Gaussian—Triangular Arrays, Stable Laws and Infinite Divisibility
Primary author: Haobai Wang
中文 · ch14-zh-e822e84341ed
SHA-256: e822e84341ed8fb6e8811e606114197eda4a7ebf6162be22ebb12e7f32311eca
Last content Git commit (may be local only): 3df76f5d7e620dcc7c2a54763115dc719f000ee4
English · ch14-en-b130a011c1d9
SHA-256: b130a011c1d9800aa2c3dd783823c43dc015877ad86fd0126a71f1da5c86fd66
Last content Git commit (may be local only): 3df76f5d7e620dcc7c2a54763115dc719f000ee4
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_PENDING_FORMAL_CONFIRMATION
Mathematical review: TARGETED_MATHEMATICAL_VERIFICATION_IN_PROGRESS_NOT_FINAL_REVIEW
Historical verification: LINDEBERG_1922_CRAMER_WOLD_1936_PRIMARY_BIBLIOGRAPHY_CHECKED
Chapter 15: What Becomes of a Game That Remains Fair Forever?
Primary author: Haobai Wang
中文 · ch15-zh-b34eeca7a839
SHA-256: b34eeca7a839a3921898725bb7431f22b37896bd9562860bc733eed69d185f4f
Last content Git commit (may be local only): ea30282462767c6a8131a9481adc0a9ee84bedd4
English · ch15-en-22a36ff54f1b
SHA-256: 22a36ff54f1b63686b74ab22fd5412911b6093b38d18c803cb125f5e34f4cce7
Last content Git commit (may be local only): ea30282462767c6a8131a9481adc0a9ee84bedd4
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_YET_READ
Mathematical review: FULL_WRITTEN_PROOFS_TARGETED_CHECKS_NOT_FINAL_REVIEW
Historical verification: VILLE_ARCHIVE_DOOB_INTERVIEW_CHECKED_NOT_FULL_ORIGINAL_PROOF_REVIEW
Chapter 16: What If the Player Chooses When to Stop?
Primary author: Haobai Wang
中文 · ch16-zh-6edf50d9952c
SHA-256: 6edf50d9952c9e3a41dd4f39de491aeedb54ad3a66c5cd2bcf56fc33bb63dca3
Last content Git commit (may be local only): ba52149fa532fedc0a95890a3c604b34e7cbfc96
English · ch16-en-5e6d7ce7396f
SHA-256: 5e6d7ce7396fc89e05e5fe0ad6e351d76225c47eca0c270ea71ff648aac070ac
Last content Git commit (may be local only): ba52149fa532fedc0a95890a3c604b34e7cbfc96
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: WRITTEN_PROOFS_INTERNAL_CHECKS_NOT_FINAL_REVIEW
Historical verification: PRIMARY_SOURCE_ENTRIES_CHECKED_NOT_FINAL_HISTORY_REVIEW
Chapter 17: Does the Present Suffice to Determine the Future?
Primary author: Haobai Wang
中文 · ch17-zh-0669eafadd58
SHA-256: 0669eafadd5864319dbd782e0d5fb97825998244c7c280f450c1045e8f671ee3
Last content Git commit (may be local only): fe044ad1e34b9323dad40922d48c1f64280ab429
English · ch17-en-c565fa4330e5
SHA-256: c565fa4330e537b2ed018ad85d0e5f619ed5cd000345da158b16fbd094f4c49d
Last content Git commit (may be local only): fe044ad1e34b9323dad40922d48c1f64280ab429
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: WRITTEN_PROOFS_INTERNAL_CHECKS_NOT_FINAL_REVIEW
Historical verification: PRIMARY_SOURCE_ENTRIES_CHECKED_NOT_FINAL_HISTORY_REVIEW
Chapter 18: Why Do Some Random Walks Return While Others Escape?
Primary author: Haobai Wang
中文 · ch18-zh-c3c7eee165bc
SHA-256: c3c7eee165bc3391a02cdcfa0359f7f25e08c64e6059d4e7576dbfd6175c2f7f
Last content Git commit (may be local only): 625cc32005aeedc5175e92294f2e6e9ce2c9dce0
English · ch18-en-e58ea7350c7f
SHA-256: e58ea7350c7f47c1322705667827185dba61b1d8d1cd0d8a526b0c0c7b58418c
Last content Git commit (may be local only): 625cc32005aeedc5175e92294f2e6e9ce2c9dce0
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: WRITTEN_PROOFS_INTERNAL_CHECKS_NOT_FINAL_REVIEW
Historical verification: PRIMARY_SOURCE_ENTRIES_CHECKED_NOT_FINAL_HISTORY_REVIEW
Chapter 19: Waiting for a New Beginning
Primary author: Haobai Wang
中文 · ch19-zh-e2afde8965d0
SHA-256: e2afde8965d0d43b9b610fe2a8eb65f9106a28f6398dbe0a8b9ae6a8b1e03bf2
Last content Git commit (may be local only): 355a96d5c61d4e00611162444aa50fda5c5c74ab
English · ch19-en-dd88e7d98241
SHA-256: dd88e7d982412082f66306da5caf70277c4c31a5d22a31d79fac1264594e2851
Last content Git commit (may be local only): 355a96d5c61d4e00611162444aa50fda5c5c74ab
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: WRITTEN_PROOFS_INTERNAL_CHECKS_NOT_FINAL_REVIEW
Historical verification: PRIMARY_SOURCE_ENTRIES_CHECKED_NOT_FINAL_HISTORY_REVIEW
Chapter 20: How Does One Ancestor Become a Random Family?
Primary author: Haobai Wang
中文 · ch20-zh-f947d405d92d
SHA-256: f947d405d92d9d88f3e41bda551600033a0c470dc890f86880582321283529a7
Last content Git commit (may be local only): e80504b038040755a20036058576ee17006aacd8
English · ch20-en-7684ef60a3e9
SHA-256: 7684ef60a3e9b241e0a597dfc78eb206b588ed21a6b6065d9f9f57f57d636c0e
Last content Git commit (may be local only): e80504b038040755a20036058576ee17006aacd8
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: WRITTEN_PROOFS_INTERNAL_CHECKS_NOT_FINAL_REVIEW
Historical verification: PRIMARY_SOURCE_ENTRIES_CHECKED_NOT_FINAL_HISTORY_REVIEW
Chapter 21: Waiting without Memory
Primary author: Haobai Wang
中文 · ch21-zh-2bae45e59bbb
SHA-256: 2bae45e59bbb09776c4409da45f682dda70ffe32ad2cd1e88bca25eefe1d57ab
Last content Git commit (may be local only): 8c09d92d5f41ae04b3077874a9cf0cb59d6fb902
English · ch21-en-9303af69f7e9
SHA-256: 9303af69f7e94acff7e36aee25e98076dbd38b80d437531e718b4261aab82f02
Last content Git commit (may be local only): 8c09d92d5f41ae04b3077874a9cf0cb59d6fb902
Engineering build: Local pages generated (not academic approval)
Author reading state: INDEPENDENT_REVIEW_RETAINED_AUTHOR_PENDING
Mathematical review: BOUNDED_INDEPENDENT_PROOF_REVIEW_WITH_NOTATION_CLARIFIED_NOT_FINAL
Historical verification: INSTITUTIONAL_PRIMARY_TECHNICAL_SOURCES_CHECKED_NO_ORIGIN_PRIORITY_CLAIM
Chapter 22: How Can a Random Process Jump?—Continuous-Time Markov Chains
Primary author: Haobai Wang
中文 · ch22-zh-a7d772615df5
SHA-256: a7d772615df579c70fb36d5a5273fe9679c586cf9e7516db188e35ca7173dab6
Last content Git commit (may be local only): 7b6f8ccf62fb40ca2a03182b34d4ebfa3ca01bc7
English · ch22-en-2d124c0fb0a1
SHA-256: 2d124c0fb0a1d471a9f3ce4260955089253121c4bc3c3ce120b3ffe4a8f1ab0a
Last content Git commit (may be local only): 7b6f8ccf62fb40ca2a03182b34d4ebfa3ca01bc7
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_PROOF_REVIEW_WITH_CORRECTIONS_NOT_FINAL
Historical verification: PRIMARY_PUBLICATION_AND_INSTITUTIONAL_TECHNICAL_SOURCES_CHECKED_NOT_FINAL
Chapter 23: How Can Gaussian Snapshots Become Continuous Paths?—Continuous Modifications, Gaussian Processes and Wiener Measure
Primary author: Haobai Wang
中文 · ch23-zh-3e6c76db2e52
SHA-256: 3e6c76db2e52f24786d5c3872d3cce9866cdc559a799df786256c4aa515e3029
Last content Git commit (may be local only): eb3e91b807b6e12574e6f682737a6a91bed2fa56
English · ch23-en-181018945fbd
SHA-256: 181018945fbd70dab44bbf4b8903138124937261fcd39e95339993076ecb6983
Last content Git commit (may be local only): eb3e91b807b6e12574e6f682737a6a91bed2fa56
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_PROOF_REVIEW_WITH_LOCAL_CLARIFICATIONS_NOT_FINAL
Historical verification: WIENER_1923_OU_1930_PUBLICATION_METADATA_CHECKED_MODERN_RECONSTRUCTION
Chapter 24: How Does an Entire Random Path Converge?—Portmanteau, Prokhorov and Path-Space Topologies
Primary author: Haobai Wang
中文 · ch24-zh-fc5d382e93f6
SHA-256: fc5d382e93f6e43f9a972cc009f587afc6e0923d415a26da6d9295d2bc5d2904
Last content Git commit (may be local only): 053bfe62f142a53e145647c3dd2c1e2e57a0792e
English · ch24-en-7546e973450b
SHA-256: 7546e973450bffe39bb88dd0789e956d9554394ba4696bb92d2d8612cd2b7417
Last content Git commit (may be local only): 053bfe62f142a53e145647c3dd2c1e2e57a0792e
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_AI_REVIEW_LOCAL_CORRECTIONS_NOT_FINAL
Historical verification: ORIGINAL_PUBLICATION_METADATA_CHECKED_MODERN_PROOF_RECONSTRUCTION
Chapter 25: When Does a Random Walk Become Brownian Motion?—Donsker’s Invariance Principle
Primary author: Haobai Wang
中文 · ch25-zh-4885cbf2f8df
SHA-256: 4885cbf2f8df28546b9fff054e8708e1531e11169d881af696a92059e862daf6
Last content Git commit (may be local only): 4aa298d6a925510f7975b8a76275f7e60c12c31a
English · ch25-en-5fe3825a3fa1
SHA-256: 5fe3825a3fa1c5a610d3de11c019c0bfd6be4a0d122586ebb69ca5338e423072
Last content Git commit (may be local only): 4aa298d6a925510f7975b8a76275f7e60c12c31a
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_AI_MAIN_AND_COMPANION_REVIEW_NOT_FINAL
Historical verification: DONSKER_1951_1952_PUBLICATION_METADATA_CHECKED_MODERN_PROOF_RECONSTRUCTION
Chapter 26: Why Is a Continuous Path So Rough?
Primary author: Haobai Wang
中文 · ch26-zh-f1011c154e0e
SHA-256: f1011c154e0e3a46691341b276cb04a588d88b15c41fdde989d200d1bbdf7e6e
Last content Git commit (may be local only): fdc3d7cb3139a23204cc8c299ee69151b40fed26
English · ch26-en-036fbfdfc7b7
SHA-256: 036fbfdfc7b7bdf4ea655495b5b6ab4b240ca92221682cee624dc7be8577ec66
Last content Git commit (may be local only): fdc3d7cb3139a23204cc8c299ee69151b40fed26
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_AI_PROOF_REVIEW_NOT_HUMAN_FINAL
Historical verification: STRASSEN_1964_AND_LEVY_ARCHIVE_METADATA_CHECKED_MODERN_PROOF_RECONSTRUCTION
Chapter 27: What If Random Motion Jumps as Well as Diffuses? — Lévy Processes and Lévy–Khintchine Theory
Primary author: Haobai Wang
中文 · ch27-zh-1153ba148830
SHA-256: 1153ba148830f9d1fa4e416451b0aa7d3a7a091ee1b34e33350f4374fac0f636
Last content Git commit (may be local only): cdbbd153d4d80c3b181377e14e68b38d41c48123
English · ch27-en-506cd8afcfcf
SHA-256: 506cd8afcfcfabd87ae225a6621692fdcb60b32c6739c83c9db68b41d060a17b
Last content Git commit (may be local only): cdbbd153d4d80c3b181377e14e68b38d41c48123
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: THREE_COMPANION_CLOSURE_PROOFS_EXPANDED_BOUNDED_AI_RECHECK_HUMAN_FINAL_OPEN
Historical verification: LEVY1934_KHINTCHINE1937_PRIMARY_RECORDS_CHECKED_MODERN_RECONSTRUCTION
Chapter 28: Why Does Random Motion Produce Deterministic Equations? — Semigroups, Generators and Resolvents
Primary author: Haobai Wang
中文 · ch28-zh-3944dfdc0be7
SHA-256: 3944dfdc0be734d4a51c74019fcd3e94c9c6cf9b97b521f9b93a768261d55ba2
Last content Git commit (may be local only): 85009ad2d82232281308a12f757ae0a666fed7fe
English · ch28-en-41fab1b8126e
SHA-256: 41fab1b8126ee661609581edd058fe92465a6df4bd097ee882d837708f5e9a61
Last content Git commit (may be local only): 85009ad2d82232281308a12f757ae0a666fed7fe
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_AI_PROOF_CHECK_HUMAN_FINAL_PENDING
Historical verification: AUTHOR_PRIMARY_THEORY_REFERENCES_CHECKED_MODERN_RECONSTRUCTION
Chapter 29: When Small Probabilities Become Exponentially Small — Large Deviations
Primary author: Haobai Wang
中文 · ch29-zh-31a0ebba5c26
SHA-256: 31a0ebba5c26390716007a4dada53183fb2bda7382e8dcf658ab2c7b03d47580
Last content Git commit (may be local only): 8085337cf4584959671fcb6c53da7d5bf5326461
English · ch29-en-29eda2aefe30
SHA-256: 29eda2aefe30a79afb6e1895d6cb2313f35e2e3500b072e5307c934c2a2b935b
Last content Git commit (may be local only): 8085337cf4584959671fcb6c53da7d5bf5326461
Engineering build: Local pages generated (not academic approval)
Author reading state: READ_RETAINED_AS_CURRENT_WORKING_MANUSCRIPT
Mathematical review: BOUNDED_INDEPENDENT_AI_THREE_PROOF_CHECK_NOT_HUMAN_FINAL
Historical verification: CRAMER1938_SANOV1957_SCHILDER1966_PRIMARY_RECORDS_CHECKED_MODERN_RECONSTRUCTION
Chapter 30: What Does It Mean to Know Before It Happens?
Primary author: Haobai Wang
中文 · ch30-zh-c2c0dcf998f9
SHA-256: c2c0dcf998f9788a113fc6f930bbe5df4e5569cc08dafff166cac54c5e66d4a1
Last content Git commit (may be local only): de6ccbfb9d5e9bcf64ab61aac3f70d568d0b8055
English · ch30-en-db6cf7554855
SHA-256: db6cf755485573fa1cee29e7686f5d7afc240a5a000f89f5fa56843fbaa37480
Last content Git commit (may be local only): de6ccbfb9d5e9bcf64ab61aac3f70d568d0b8055
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_YET_READ
Mathematical review: BOUNDED_AI_PROOF_CLOSURE_CHECK_NOT_INDEPENDENT_HUMAN_FINAL
Historical verification: AUTHOR_PAPER_AND_BIBLIOGRAPHY_CHECKED_MODERN_RECONSTRUCTION
Chapter 31: How Can We Integrate Along a Nondifferentiable Random Path? — Itô Integral and Quadratic Variation
Primary author: Haobai Wang
中文 · ch31-zh-56c35be4418f
SHA-256: 56c35be4418f3eb70b2423dc9ebbebc4c30d89a76a4774935f6707e178944ef0
Last content Git commit (may be local only): 60ed1b297e05b240bb48a9563094002890921cdd
English · ch31-en-bafd196ddb8d
SHA-256: bafd196ddb8d4bdda604833e940480b94056e55893f49e2e4d80e60027b2b6b4
Last content Git commit (may be local only): 60ed1b297e05b240bb48a9563094002890921cdd
Engineering build: Local pages generated (not academic approval)
Author reading state: NOT_YET_READ
Mathematical review: BOUNDED_AI_CONTINUOUS_SCOPE_PROOF_CHECK_HUMAN_FINAL_OPEN
Historical verification: ITO1944_PRIMARY_JOURNAL_AND_AUTHOR_NOTES_CHECKED_MODERN_RECONSTRUCTION
Machine-readable chapter versions
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Obtain explicit publication authorization, freeze a specified Git commit, create a new immutable snapshot ID and file hashes, retain deployment evidence, and verify the archive. Chapter approval is not automatic publication authorization. This update publishes the thirtyone-chapter reading edition; earlier hosting versions remain available for rollback.