Celebratio Mathematica

Joseph L. Doob

Complete Bibliography

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J. L. Doob: “The bound­ary val­ues of an ana­lyt­ic func­tion,” Bull. Am. Math. Soc. 37 : 5 (1931), pp. 339. JFM 57.​0396.​10 article

J. L. Doob: “The bound­ary val­ues of ana­lyt­ic func­tions,” Bull. Am. Math. Soc. 38 : 3 (1932), pp. 188–​189. Re­search an­nounce­ment for a two-part art­icle in Trans. Am. Math. Soc. 34:1 (1932) and 35:2 (1933). JFM 58.​0354.​04 article

J. L. Doob: “The bound­ary val­ues of ana­lyt­ic func­tions,” Trans. Am. Math. Soc. 34 : 1 (1932), pp. 153–​170. A re­search an­nounce­ment for this art­icle was pub­lished in Bull. Am. Math. Soc. 38:3 (1932). MR 1501633 JFM 58.​1077.​01 Zbl 0003.​40401 article

J. L. Doob: “On a the­or­em of Gross and Iversen,” Ann. Math. (2) 33 : 4 (October 1932), pp. 753–​757. MR 1503089 JFM 58.​0331.​02 Zbl 0005.​25005 article

J. L. Doob: Bound­ary val­ues of ana­lyt­ic func­tions. Ph.D. thesis, Har­vard Uni­versity, 1932. Ad­vised by J. L. Walsh. A two part art­icle based on this dis­ser­ta­tion was pub­lished in Trans. Am. Math. Soc. 34:1 (1932) and 35:2 (1933). MR 2936471 phdthesis

J. L. Doob: “The ranges of ana­lyt­ic func­tions,” Bull. Am. Math. Soc. 39 : 3 (1933), pp. 195–​196. Re­search an­nounce­ment for an art­icle pub­lished in Ann. Math. 36:1 (1935). JFM 59.​0346.​07 article

J. L. Doob and B. O. Koop­man: “The re­solvent of a self-ad­joint trans­form­a­tion,” Bull. Am. Math. Soc. 39 : 1 (1933), pp. 872. JFM 59.​0428.​10 article

J. F. Ritt and J. L. Doob: “Sys­tems of al­geb­ra­ic dif­fer­ence equa­tions,” Bull. Am. Math. Soc. 39 : 7 (1933), pp. 508. JFM 59.​0461.​04 article

J. L. Doob: “The bound­ary val­ues of ana­lyt­ic func­tions, II,” Trans. Am. Math. Soc. 35 : 2 (1933), pp. 418–​451. MR 1501694 JFM 59.​1030.​01 Zbl 0006.​35501 article

J. F. Ritt and J. L. Doob: “Sys­tems of al­geb­ra­ic dif­fer­ence equa­tions,” Am. J. Math. 55 : 1–​4 (1933), pp. 4. A re­search an­nounce­ment for this was pub­lished in Bull. Am. Math. Soc. 39:7 (1933). MR 1506981 JFM 59.​0456.​01 Zbl 0008.​01804 article

J. L. Doob: “Note on prob­ab­il­ity,” Bull. Am. Math. Soc. 40 : 11 (1934), pp. 798. Re­search an­noun­c­ment for an art­icle pub­lished in Ann. Math. 37:2 (1936). JFM 60.​0479.​08 article

J. L. Doob: “Prob­ab­il­ity dis­tri­bu­tions and stat­ist­ics,” Bull. Am. Math. Soc. 40 : 3 (1934), pp. 221. JFM 60.​0479.​09 article

J. L. Doob: “Prob­ab­il­ity and stat­ist­ics,” Trans. Am. Math. Soc. 36 : 4 (1934), pp. 759–​775. MR 1501765 JFM 60.​0467.​02 Zbl 0010.​17303 article

J. L. Doob and B. O. Koop­man: “On ana­lyt­ic func­tions with pos­it­ive ima­gin­ary parts,” Bull. Am. Math. Soc. 40 : 8 (1934), pp. 601–​605. MR 1562915 JFM 60.​0254.​03 Zbl 0010.​17101 article

J. L. Doob: “Stochast­ic pro­cesses and stat­ist­ics,” Proc. Natl. Acad. Sci. USA 20 : 6 (June 1934), pp. 376–​379. JFM 60.​0467.​01 Zbl 0009.​22101 article

J. L. Doob: “The the­ory of stat­ist­ic­al es­tim­a­tion,” Bull. Am. Math. Soc. 41 : 1 (1935), pp. 27. JFM 61.​0583.​10 article

J. L. Doob: “The ranges of ana­lyt­ic func­tions,” Ann. Math. (2) 36 : 1 (January 1935), pp. 117–​126. A re­search an­nounce­ment for this was pub­lished in Bull. Am. Math. Soc. 39:3 (1933). MR 1503212 JFM 61.​0355.​05 Zbl 0011.​16803 article

J. L. Doob: “The lim­it­ing dis­tri­bu­tions of cer­tain stat­ist­ics,” Ann. Math. Stat. 6 : 3 (September 1935), pp. 160–​169. JFM 61.​1296.​01 Zbl 0012.​26801 article

J. L. Doob: “Stochast­ic pro­cesses de­pend­ing on a con­tinu­ously vary­ing para­met­er,” Bull. Am. Math. Soc. 42 : 7 (1936), pp. 490–​491. Re­search an­nounce­ment for the art­icle pub­lished in Trans. Am. Math. Soc. 42:1 (1937). JFM 62.​0634.​09 article

J. L. Doob: “Stat­ist­ic­al es­tim­a­tion,” Trans. Am. Math. Soc. 39 : 3 (1936), pp. 410–​421. MR 1501855 JFM 62.​0611.​01 Zbl 0014.​16901 article

J. L. Doob: “Note on prob­ab­il­ity,” Ann. Math. (2) 37 : 2 (April 1936), pp. 363–​367. A re­search an­nounce­ment for this was pub­lished in Bull. Am. Math. Soc. 40:11 (1934). MR 1503284 JFM 62.​0589.​02 Zbl 0013.​40802 article

J. L. Doob: “Book re­view: V. Vol­terra, ‘Leçons sur la théorie mathématique de la lutte pour la vie’,” Bull. Am. Math. Soc. 42 : 5 (1936), pp. 304–​305. Book by V. Vol­terra (Gau­th­i­er-Vil­lars, 1931). MR 1563293 article

J. L. Doob: “Stochast­ic pro­cesses de­pend­ing on a con­tinu­ous para­met­er,” Trans. Am. Math. Soc. 42 : 1 (1937), pp. 107–​140. A re­search an­nounce­ment for this art­icle was pub­lished in Bull. Am. Math. Soc. 42:7 (1936). MR 1501916 JFM 63.​1075.​01 Zbl 0017.​02701 article

J. L. Doob: “Book re­view: R. von Mises, ‘Wahr­schein­lich­keit stat­istik und wahrheit’,” Bull. Am. Math. Soc. 43 : 5 (1937), pp. 316–​317. Book by R. von Mises (Spring­er, 1936). MR 1563534 article

J. L. Doob: “Book re­view: E. Torni­er, ‘Wahr­schein­lich­keit­s­rech­nung und allge­meine in­teg­ra­tion­s­the­or­ie’,” Bull. Am. Math. Soc. 43 : 5 (1937), pp. 317–​318. Book by E. Torni­er (Teub­n­er, 1936). MR 1563535 article

J. L. Doob: “Stochast­ic pro­cesses with an in­teg­ral-val­ued para­met­er,” Trans. Am. Math. Soc. 44 : 1 (July 1938), pp. 87–​150. MR 1501964 JFM 64.​0532.​03 Zbl 0019.​12701 article

J. L. Doob: “One-para­met­er fam­il­ies of trans­form­a­tions,” Duke Math. J. 4 : 4 (1938), pp. 752–​774. MR 1546095 JFM 64.​0192.​04 Zbl 0020.​10902 article

J. L. Doob: “Book re­view: P. Lévy, ‘Théorie de l’ad­di­tion des vari­ables aléatoires’,” Bull. Am. Math. Soc. 44 : 1 (1938), pp. 19–​20. Book by P. Lévy (Gau­th­i­er-Vil­lars, 1937). MR 1563667 article

J. L. Doob: “Book re­view: L. Bacheli­er, ‘Les lois des grands nombres du cal­cul des prob­ab­ilités’,” Bull. Am. Math. Soc. 44 : 1 (1938), pp. 20. Book by L. Bacheli­er (Gau­th­i­er-Vil­lars, 1937). MR 1563668 article

J. L. Doob: “Book re­view: É. Borel, ‘Valeur pratique et philo­soph­ie des prob­ab­ilités’,” Bull. Am. Math. Soc. 45 : 9 (1939), pp. 651–​652. Book by É. Borel (Gau­thiers-Vil­lars, 1939). MR 1564040 article

J. L. Doob: “Book re­view: J. Ville, ‘Étude cri­tique de la no­tion de col­lec­tif’,” Bull. Am. Math. Soc. 45 : 11 (1939), pp. 824. Book by J. Ville (Gau­th­i­er-Vil­lars, 1939). MR 1564064 article

J. L. Doob: “Reg­u­lar­ity prop­er­ties of cer­tain fam­il­ies of chance vari­ables,” Trans. Am. Math. Soc. 47 : 3 (1940), pp. 455–​486. MR 2052 JFM 66.​0609.​04 Zbl 0023.​24101 article

J. L. Doob: “The law of large num­bers for con­tinu­ous stochast­ic pro­cesses,” Duke Math. J. 6 : 2 (1940), pp. 290–​306. MR 2053 JFM 66.​0621.​01 Zbl 0023.​24401 article

J. L. Doob and W. Am­brose: “On two for­mu­la­tions of the the­ory of stochast­ic pro­cesses de­pend­ing upon a con­tinu­ous para­met­er,” Ann. Math. (2) 41 : 4 (October 1940), pp. 737–​745. MR 2735 JFM 66.​0620.​01 Zbl 0025.​19804 article

J. L. Doob: “Prob­ab­il­ity as meas­ure,” Ann. Math. Stat. 12 : 2 (1941), pp. 206–​214. MR 4387 JFM 67.​0453.​02 Zbl 0025.​34501 article

J. L. Doob: “A min­im­um prob­lem in the the­ory of ana­lyt­ic func­tions,” Duke Math. J. 8 : 3 (1941), pp. 413–​424. MR 4885 JFM 67.​1021.​01 Zbl 0063.​01144 article

R. von Mises and J. L. Doob: “Dis­cus­sion of pa­pers on prob­ab­il­ity the­ory,” Ann. Math. Stat. 12 : 2 (1941), pp. 215–​217. MR 4388 Zbl 0025.​34502 article

J. L. Doob: “Top­ics in the the­ory of Markoff chains,” Trans. Am. Math. Soc. 52 : 1 (1942), pp. 37–​64. MR 6633 Zbl 0063.​09001 article

J. L. Doob: “The Browni­an move­ment and stochast­ic equa­tions,” Ann. Math. (2) 43 : 2 (April 1942), pp. 351–​369. Re­prin­ted in Se­lec­ted pa­pers on noise and stochast­ic pro­cesses (1954). MR 6634 Zbl 0063.​01145 article

J. L. Doob: “What is a stochast­ic pro­cess?,” Am. Math. Mon. 49 : 10 (December 1942), pp. 648–​653. MR 7210 Zbl 0060.​28906 article

J. L. Doob and R. A. Lei­bler: “On the spec­tral ana­lys­is of a cer­tain trans­form­a­tion,” Am. J. Math. 65 : 2 (April 1943), pp. 263–​272. MR 7944 Zbl 0061.​24903 article

J. L. Doob: “The ele­ment­ary Gaus­si­an pro­cesses,” Ann. Math. Stat. 15 : 3 (1944), pp. 229–​282. MR 10931 Zbl 0060.​28907 article

J. L. Doob: “Markoff chains: De­nu­mer­able case,” Trans. Am. Math. Soc. 58 : 3 (November 1945), pp. 455–​473. MR 13857 Zbl 0063.​01146 article

J. L. Doob: “Prob­ab­il­ity in func­tion space,” Bull. Am. Math. Soc. 53 : 1 (1947), pp. 15–​30. MR 19858 Zbl 0032.​03401 article

J. L. Doob: “Asymp­tot­ic prop­er­ties of Markoff trans­ition prob­ab­il­it­ies,” Trans. Am. Math. Soc. 63 : 3 (May 1948), pp. 393–​421. MR 25097 Zbl 0041.​45406 article

J. L. Doob: “Re­new­al the­ory from the point of view of the the­ory of prob­ab­il­ity,” Trans. Am. Math. Soc. 63 : 3 (1948), pp. 422–​438. MR 25098 Zbl 0041.​45405 article

J. L. Doob: “On a prob­lem of Mar­czewski,” Col­loq. Math. 1 (1948), pp. 216–​217. MR 27314 Zbl 0038.​03703 article

J. L. Doob: “Time series and har­mon­ic ana­lys­is,” pp. 303–​343 in Pro­ceed­ings of the Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 13–18 Au­gust 1945 and 27–29 Janu­ary 1946). Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley and Los Angeles), 1949. MR 27979 Zbl 0038.​29902 incollection

J. L. Doob: “Heur­ist­ic ap­proach to the Kolmogorov–Smirnov the­or­ems,” Ann. Math. Stat. 20 : 3 (1949), pp. 393–​403. MR 30732 Zbl 0035.​08901 article

J. L. Doob: “Ap­plic­a­tion of the the­ory of mar­tin­gales,” pp. 23–​27 in Le cal­cul des prob­ab­ilités et ses ap­plic­a­tions [The cal­cu­lus of prob­ab­il­it­ies and its ap­plic­a­tions] (Ly­on, France, 28 June–3 Ju­ly 1948). CNRS In­ter­na­tion­al Col­loquia 13. Centre Na­tion­al de la Recher­che Sci­en­ti­fique (Par­is), 1949. MR 33460 Zbl 0041.​45101 incollection

J. L. Doob: “Book re­view: N. Ar­ley, ‘On the the­ory of stochast­ic pro­cesses and their ap­plic­a­tion to the the­ory of cos­mic ra­di­ation’,” Am. Math. Mon. 57 : 7 (August–September 1950), pp. 497–​498. Book by N. Ar­ley (Wiley, 1948). MR 1527645 article

J. L. Doob: “Con­tinu­ous para­met­er mar­tin­gales,” pp. 269–​277 in Pro­ceed­ings of the second Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 31 Ju­ly–12 Au­gust 1950). Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley and Los Angeles), 1951. MR 44770 Zbl 0044.​33802 incollection

J. L. Doob: “Book re­view: M. Fréchet, ‘Généralités sur les prob­ab­ilités. Éléments aléatoires’,” Bull. Am. Math. Soc. 57 : 3 (1951), pp. 206–​207. Book by M. Freéchet (Gau­th­i­er-Vil­lars, 1950). MR 1565307 article

J. L. Doob: “The meas­ure-the­or­et­ic set­ting of prob­ab­il­ity the­ory,” Ann. Soc. Po­lon. Math. 25 (1952), pp. 199–​209. MR 58897 Zbl 0049.​09601 article

J. L. Doob: Stochast­ic pro­cesses. John Wiley & Sons (New York), 1953. MR 0058896 Zbl 0053.​26802

J. L. Doob: “The Browni­an move­ment and stochast­ic equa­tions,” pp. 319–​337 in Se­lec­ted pa­pers on noise and stochast­ic pro­cesses. Edi­ted by N. Wax. Dover Pub­lic­a­tions (New York), 1954. Re­prin­ted from Ann. Math. 43:2 (1942). incollection

J. L. Doob: “Se­mi­martin­gales and subhar­mon­ic func­tions,” Trans. Am. Math. Soc. 77 : 1 (1954), pp. 86–​121. MR 64347 Zbl 0059.​12205 article

J. L. Doob: “Mar­tin­gales and one-di­men­sion­al dif­fu­sion,” Trans. Am. Math. Soc. 78 : 1 (1955), pp. 168–​208. MR 70885 Zbl 0068.​11301 article

J. L. Doob: “A prob­ab­il­ity ap­proach to the heat equa­tion,” Trans. Am. Math. Soc. 80 : 1 (1955), pp. 216–​280. MR 79376 Zbl 0068.​32705 article

J. L. Doob: “Prob­ab­il­ity meth­ods ap­plied to the first bound­ary value prob­lem,” pp. 49–​80 in Pro­ceed­ings of the third Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 26–31 Decem­ber 1954 and Ju­ly–Au­gust 1955), vol. 2: Con­tri­bu­tions to prob­ab­il­ity the­ory. Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley and Los Angeles), 1956. MR 84886 Zbl 0074.​09101 incollection

J. L. Doob: “Present state and fu­ture pro­spects of stochast­ic pro­cess the­ory,” pp. 348–​355 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians, 1954 (Am­s­ter­dam, 2–9 Septem­ber 1954), vol. 3. Edi­ted by J. C. H. Ger­ret­sen and J. de Groot. Er­ven P. Noord­hoff N.V. (Gronin­gen), 1956. MR 84895 Zbl 0074.​33801 incollection

D. L. Dub: Stochast­ic pro­cesses (Mo­scow). Izda­tel­stvo In­ostran­noy Lit­er­at­ury, 1956. Rus­si­an trans­la­tion of 1953 Eng­lish ori­gin­al. MR 85654 book

J. L. Doob: “In­ter­re­la­tions between Browni­an mo­tion and po­ten­tial the­ory,” pp. 202–​204 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians, 1954 (Am­s­ter­dam, 2–9 Septem­ber 1954), vol. 3. Edi­ted by J. C. H. Ger­ret­sen and J. de Groot. Er­ven P. Noord­hoff N.V. (Gronin­gen), 1956. MR 95542 Zbl 0072.​43102 incollection

J. L. Doob: “Book re­view: M. Loève, “Prob­ab­il­ity the­ory: Found­a­tions. Ran­dom se­quences,” Bull. Am. Math. Soc. 62 : 1 (1956), pp. 62–​65. Book by M. Loève (Van Nos­trand, 1955). MR 1565753 article

J. L. Doob: “Con­di­tion­al Browni­an mo­tion and the bound­ary lim­its of har­mon­ic func­tions,” Bull. Soc. Math. France 85 (1957), pp. 431–​458. MR 0109961 Zbl 0097.​34004

J. L. Doob: “Browni­an mo­tion on a Green space,” The­ory Probab. Ap­pl. 2 : 1 (1957), pp. 1–​30. A ver­sion of this was ori­gin­ally pub­lished in Teor. Veroy­at­nost. i Primenen. 2:1 (1957). article

J. L. Doob: “A new look at the first bound­ary-value prob­lem,” pp. 21–​33 in Ap­plied prob­ab­il­ity: Pro­ceed­ings of sym­po­sia in ap­plied math­em­at­ics. Edi­ted by L. A. Mac­Coll. Pro­ceed­ings of Sym­po­sia in Ap­plied Math­em­at­ics 7. Mc­Graw-Hill (New York), 1957. MR 92278 Zbl 0079.​31202 incollection

J. L. Doob: “Browni­an mo­tion on a Green space,” Teor. Veroy­at­nost. i Primenen. 2 : 1 (1957), pp. 3–​33. With Rus­si­an sum­mary. A ver­sion of this was re­pub­lished in The­ory Probab. Ap­pl. 2:1 (1957). MR 106509 Zbl 0078.​32505 article

J. L. Doob: “La théorie des prob­ab­ilités et le premi­er problème des fonc­tions frontières” [Prob­ab­il­ity and the first bound­ary func­tion prob­lem], Publ. Inst. Stat­ist. Univ. Par­is 6 (1957), pp. 289–​290. MR 106510 Zbl 0089.​34002 article

J. L. Doob: “Prob­ab­il­ity the­ory and the first bound­ary value prob­lem,” Ill. J. Math. 2 : 1 (1958), pp. 19–​36. Ded­ic­ated to Paul Lévy on the oc­ca­sion of his sev­en­ti­eth birth­day. MR 106511 Zbl 0086.​08403 article

J. L. Doob: “Bound­ary lim­it the­or­ems for a half-space,” J. Math. Pures Ap­pl. (9) 37 (1958), pp. 385–​392. MR 109962 Zbl 0097.​34101 article

J. L. Doob: “Cor­rec­tions to ‘Dis­crete po­ten­tial the­ory and bound­ar­ies’,” J. Math. Mech. 8 : 6 (1959), pp. 993. Cor­rec­tions to an art­icle pub­lished in J. Math. Mech. 8:3 (1959). article

J. L. Doob: “A re­la­tiv­ized Fatou the­or­em,” Proc. Nat. Acad. Sci. U.S.A. 45 : 2 (February 1959), pp. 215–​222. MR 107095 Zbl 0106.​07801 article

J. L. Doob: “Dis­crete po­ten­tial the­ory and bound­ar­ies,” J. Math. Mech. 8 : 3 (1959), pp. 433–​458. Cor­rec­tions were pub­lished in J. Math. Mech. 8:6 (1959). MR 107098 Zbl 0101.​11503 article

J. L. Doob: “A Markov chain the­or­em,” pp. 50–​57 in Prob­ab­il­ity and stat­ist­ics: The Har­ald Cramér volume. Edi­ted by U. Gren­ander. Wiley Pub­lic­a­tions in Stat­ist­ics. John Wiley & Sons (New York), 1959. MR 110123 Zbl 0095.​12701 incollection

J. L. Doob: “A non-prob­ab­il­ist­ic proof of the re­l­at­ive Fatou the­or­em,” Ann. Inst. Four­i­er. Gren­oble 9 (1959), pp. 293–​300. MR 117454 Zbl 0095.​08203 article

J. L. Doob: “Some prob­lems con­cern­ing the con­sist­ency of math­em­at­ic­al mod­els,” pp. 27–​33 in In­form­a­tion and de­cision pro­cesses. Edi­ted by R. E. Machol. Mc­Graw-Hill (New York), 1960. MR 117140 incollection

J. L. Doob, J. L. Snell, and R. E. Wil­li­am­son: “Ap­plic­a­tion of bound­ary the­ory to sums of in­de­pend­ent ran­dom vari­ables,” pp. 182–​197 in Con­tri­bu­tions to prob­ab­il­ity and stat­ist­ics: Es­says in hon­or of H. Ho­telling. Edi­ted by I. Olkin. Stan­ford Stud­ies in Math­em­at­ics and Stat­ist­ics 2. Stan­ford Uni­versity Press (Stan­ford, CA), 1960. MR 120667 Zbl 0094.​32202 incollection

J. L. Doob: “Re­l­at­ive lim­it the­or­ems in ana­lys­is,” J. Ana­lyse Math. 8 : 1 (December 1960), pp. 289–​306. MR 125974 Zbl 0115.​26803 article

J. L. Doob: “Ap­pre­ci­ation of Khinchin,” pp. 17–​20 in Pro­ceed­ings of the fourth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 20 June–30 Ju­ly 1960), vol. 2. Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley, CA), 1961. MR 131342 incollection

J. L. Doob: “A re­l­at­ive lim­it the­or­em for para­bol­ic func­tions,” pp. 61–​70 in Trans­ac­tions of the second Prague con­fer­ence on in­form­a­tion the­ory, stat­ist­ic­al de­cision func­tions, ran­dom pro­cesses (Lib­lice, Czech Re­pub­lic, 1–6 June 1959). Edi­ted by J. Kožešnik. Na­k­lad­a­tel­ství Českoslov­enské Akademie Věd (Prague), 1961. MR 132923 Zbl 0101.​11302 incollection

J. L. Doob: “Notes on mar­tin­gale the­ory,” pp. 95–​102 in Pro­ceed­ings of the fourth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 20 June–30 Ju­ly 1960), vol. 2. Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley, CA), 1961. MR 133182 Zbl 0126.​14003 incollection

J. L. Doob: “Con­form­ally in­vari­ant cluster value the­ory,” Ill. J. Math. 5 : 4 (1961), pp. 521–​549. MR 186821 Zbl 0196.​42201 article

J. L. Doob: “Book re­view: M. Loève, ‘Prob­ab­il­ity the­ory’,” Bull. Am. Math. Soc. 67 : 5 (1961), pp. 446–​447. Book by Michel Loève (Van Nos­trand, 1960). MR 1566140 article

J. L. Doob: “Bound­ary prop­er­ties for func­tions with fi­nite Di­rich­let in­teg­rals,” Ann. Inst. Four­i­er (Gren­oble) 12 (1962), pp. 573–​621. MR 173783 Zbl 0121.​08604 article

J. L. Doob: “A ra­tio op­er­at­or lim­it the­or­em,” Z. Wahr­schein­lich­keit­s­the­or. Verw. Geb. 1 : 3 (January 1963), pp. 288–​294. MR 163333 Zbl 0122.​36302 article

J. L. Doob: “One-sided cluster-value the­or­ems,” Proc. Lon­don Math. Soc. (3) 13 (1963), pp. 461–​470. MR 166365 Zbl 0116.​05301 article

M. Brelot and J. L. Doob: “Lim­ites an­gu­laires et lim­ites fines” [An­gu­lar lim­its and fine lim­its], Ann. Inst. Four­i­er (Gren­oble) 13 : 2 (1963), pp. 395–​415. MR 196107 Zbl 0132.​33902 article

J. L. Doob: “Cluster val­ues of se­quences of ana­lyt­ic func­tions,” Sankhyā Ser. A 25 : 2 (July 1963), pp. 137–​148. MR 213567 Zbl 0145.​31101 article

K. L. Chung and J. L. Doob: “Fields, op­tion­al­ity and meas­ur­ab­il­ity,” Amer. J. Math. 87 : 2 (April 1965), pp. 397–​424. MR 0214121 Zbl 0192.​24604 article

J. L. Doob: “Some clas­sic­al func­tion the­ory the­or­ems and their mod­ern ver­sions,” Ann. Inst. Four­i­er (Gren­oble) 15 : 1 (1965), pp. 113–​136. Er­rata to this art­icle were pub­lished in Ann. Inst. Four­i­er 17:1 (1967). MR 203065 Zbl 0154.​07503 article

J. L. Doob: “Wien­er’s work in prob­ab­il­ity the­ory,” pp. 69–​72 in Norbert Wien­er, 1894–1964, published as Bull. Am. Math. Soc. 72 : 1, part 2. Issue edi­ted by F. Browder, E. H. Span­i­er, and M. Ger­sten­hab­er. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), January 1966. MR 184259 Zbl 0131.​00512 incollection

J. L. Doob: “Ap­plic­a­tions to ana­lys­is of a to­po­lo­gic­al defin­i­tion of small­ness of a set,” Bull. Am. Math. Soc. 72 : 4 (1966), pp. 579–​600. MR 203665 Zbl 0142.​09001 article

J. L. Doob: “Re­marks on the bound­ary lim­its of har­mon­ic func­tions,” SIAM J. Nu­mer. Anal. 3 : 2 (June 1966), pp. 229–​235. MR 393529 Zbl 0141.​30404 article

J. L. Doob: “Er­rata: ‘Some clas­sic­al func­tion the­ory the­or­ems and their mod­ern ver­sions’,” Ann. Inst. Four­i­er (Gren­oble) 17 : 1 (1967), pp. 469. Er­rata to an art­icle pub­lished in Ann. Inst. Four­i­er 15:1 (1965). MR 220961 article

J. L. Doob: “Ap­plic­a­tions of a gen­er­al­ized F. Riesz in­equal­ity,” Rev. Rou­maine Math. Pures Ap­pl. 12 (1967), pp. 1185–​1191. MR 233947 Zbl 0156.​12202 article

J. L. Doob: “Gen­er­al­ized sweep­ing-out and prob­ab­il­ity,” J. Funct. Anal. 2 : 2 (May 1968), pp. 207–​225. MR 222959 Zbl 0186.​50403 article

J. L. Doob: “Com­pac­ti­fic­a­tion of the dis­crete state spaces of a Markov pro­cess,” Z. Wahr­schein­lich­keit­s­the­or. Verw. Geb. 10 : 3 (September 1968), pp. 236–​251. MR 234525 Zbl 0164.​19202 article

J. L. Doob: “An ap­plic­a­tion of stochast­ic pro­cess separ­ab­il­ity,” En­sei­gne­ment Math. (2) 15 (1969), pp. 101–​105. MR 250366 Zbl 0179.​47604 article

J. L. Doob: “State spaces for Markov chains,” Trans. Am. Math. Soc. 149 : 1 (1970), pp. 279–​305. MR 258131 Zbl 0231.​60048 article

J. L. Doob: “Stochast­ic pro­cesses de­term­ined by fam­il­ies of con­tinu­ous func­tions,” pp. 378–​382 in Pro­ceed­ings of the in­ter­na­tion­al con­fer­ence on func­tion­al ana­lys­is and re­lated top­ics (Tokyo, 1–8 April 1969). Uni­versity of Tokyo Press, 1970. MR 266301 Zbl 0203.​50102 incollection

J. L. Doob: “Separ­ab­il­ity and meas­ur­able pro­cesses,” J. Fac. Sci. Univ. Tokyo Sect. I 17 (1970), pp. 297–​304. MR 279841 Zbl 0206.​18503 article

J. L. Doob: “Book re­view: K. L. Chung, ‘Markov pro­cesses with sta­tion­ary trans­ition prob­ab­il­it­ies’,” Bull. Am. Math. Soc. 76 : 4 (1970), pp. 688–​690. Book by Kai Lai Chung (Spring­er, 1967), ac­tu­al title be­ing “Markov chains with sta­tion­ary trans­ition prob­ab­il­it­ies”. MR 1566555 article

J. L. Doob: “Mar­tin­gale the­ory: Po­ten­tial the­ory,” pp. 203–​206 in Po­ten­tial the­ory (Stresa, Italy, 2–10 Ju­ly 1969). Edi­ted by M. Brelot. C.I.M.E. Ses­sions. Cre­monese (Rome), 1970. Zbl 0214.​17301 incollection

J. L. Doob: “What is a mar­tin­gale?,” Am. Math. Mon. 78 : 5 (May 1971), pp. 451–​463. MR 283864 Zbl 0215.​25801 article

J. L. Doob: “State space for Markov pro­cesses,” pp. 13–​14 in Mar­tin­gales (Ober­wolfach, Ger­many, 17–23 May 1970). Edi­ted by H. Dinges. Lec­ture Notes in Math­em­at­ics 190. Spring­er (Ber­lin), 1971. Meet­ing re­port. MR 362475 incollection

J. L. Doob: “Ob­it­u­ary: Paul Lévy,” J. Ap­pl. Prob­ab­il­ity 9 : 4 (December 1972), pp. 870–​872. MR 342336 Zbl 0245.​01020 article

J. L. Doob: “Wil­li­am Feller and twen­ti­eth cen­tury prob­ab­il­ity,” pp. xv–​xx in Pro­ceed­ings of the sixth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 21 June–18 Ju­ly 1970), vol. 2: Prob­ab­il­ity the­ory. Edi­ted by L. M. Le Cam, J. Ney­man, and E. L. Scott. Uni­versity of Cali­for­nia Press (Berke­ley, CA), 1972. MR 386946 Zbl 0251.​01009 incollection

J. L. Doob: “The struc­ture of a Markov chain,” pp. 131–​141 in Pro­ceed­ings of the sixth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 21 June–18 Ju­ly 1970), vol. 3: Prob­ab­il­ity the­ory. Edi­ted by L. M. Le Cam, J. Ney­man, and E. L. Scott. Uni­versity of Cali­for­nia Press (Berke­ley, CA), 1972. MR 405603 Zbl 0255.​60042 incollection

J. L. Doob: “An in­equal­ity use­ful in mar­tin­gale the­ory,” Sankhyā Ser. A 35 : 1 (March 1973), pp. 1–​4. MR 356216 Zbl 0272.​60039 article

J. L. Doob: “Bound­ary ap­proach fil­ters for ana­lyt­ic func­tions,” Ann. Inst. Four­i­er (Gren­oble) 23 : 3 (1973), pp. 187–​213. MR 367206 Zbl 0251.​30034 article

J. L. Doob: “What are mar­tin­gales?,” Wia­dom. Mat. (2) 16 (1973), pp. 37–​50. MR 458574 Zbl 0285.​60032 article

J. L. Doob: “Ana­lyt­ic sets and stochast­ic pro­cesses,” pp. 1–​12 in Stochast­ic pro­cesses and re­lated top­ics (Bloom­ing­ton, IN, 31 Ju­ly–9 Au­gust 1974), vol. 1. Edi­ted by M. L. Puri. Aca­dem­ic Press (New York), 1975. Book ded­ic­ated to Jerzy Ney­man. MR 380959 Zbl 0322.​60006 incollection

J. L. Doob: “Stochast­ic pro­cess meas­ur­ab­il­ity con­di­tions,” Ann. Inst. Four­i­er (Gren­oble) 25 : 3–​4 (1975), pp. 163–​176. Ded­ic­ated to Mar­cel Brelot on the oc­ca­sion of his 70th birth­day. MR 420805 Zbl 0287.​60032 article

Prob­ab­il­ity (Urb­ana, IL, March 1976). Edi­ted by J. L. Doob. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 31. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1977. Zbl 0342.​00013 book

J. L. Doob: “Clas­sic­al po­ten­tial the­ory and Browni­an mo­tion,” pp. 147–​179 in As­pects of con­tem­por­ary com­plex ana­lys­is (Durham, UK, 1–20 Ju­ly 1979). Edi­ted by D. A. Bran­nan and J. Clunie. Aca­dem­ic Press (Lon­don and New York), 1980. MR 623469 Zbl 0513.​31004 incollection

J. L. Doob: “A po­ten­tial the­or­et­ic ap­proach to mar­tin­gale the­ory,” pp. 227–​231 in Stat­ist­ics and prob­ab­il­ity: Es­says in hon­or of C. R. Rao. Edi­ted by G. Kal­li­an­pur, P. R. Krish­nai­ah, and J. K. Ghosh. North-Hol­land (Am­s­ter­dam and New York), 1982. MR 659475 Zbl 0483.​60069 incollection

J. L. Doob: Clas­sic­al po­ten­tial the­ory and its prob­ab­il­ist­ic coun­ter­part. Grundlehren der Math­em­at­ischen Wis­senschaften 262. Spring­er (New York), 1984. Re­prin­ted in 2001. MR 731258 Zbl 0549.​31001 book

J. L. Doob: “Com­ment­ary on prob­ab­il­ity,” pp. 353–​354 in A cen­tury of math­em­at­ics in Amer­ica, Part 2. Edi­ted by P. L. Duren, R. As­key, and U. C. Merzbach. His­tory of Math­em­at­ics 2. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1989. MR 1003142 incollection

J. L. Doob: “Kolmogorov’s early work on con­ver­gence the­ory and found­a­tions,” Ann. Probab. 17 : 3 (1989), pp. 815–​821. MR 1009435 Zbl 0687.​01008 article

J. L. Doob: Stochast­ic pro­cesses, Re­print edition. Wiley Clas­sics Lib­rary 24. John Wiley & Sons (New York), 1990. Re­print of 1953 ori­gin­al. MR 1038526 Zbl 0696.​60003 book

J. L. Doob: “Prob­ab­il­ity vs. meas­ure,” pp. 189–​193 in Paul Hal­mos: Cel­eb­rat­ing 50 years of math­em­at­ics. Edi­ted by J. H. Ewing and F. W. Gehring. Spring­er, 1991. MR 1113273 Zbl 0791.​60001 incollection

J. L. Doob: “Book re­view: P. R. Mas­ani, ‘Norbert Wien­er 1894–1964’,” Bull. Am. Math. Soc. (N.S.) 27 : 2 (1992), pp. 304–​305. Book by P. R. Mas­ani (Birhäuser, 1990). MR 1567992 article

J. L. Doob: Meas­ure the­ory. Gradu­ate Texts in Math­em­at­ics 143. Spring­er (New York), 1994. MR 1253752 Zbl 0791.​28001 book

J. L. Doob: “The de­vel­op­ment of rig­or in math­em­at­ic­al prob­ab­il­ity (1900–1950),” pp. 157–​170 in De­vel­op­ment of math­em­at­ics 1900–1950 (Bourg­lin­ster, Lux­em­bourg, June 1992). Edi­ted by J.-P. Pier. Birkhäuser (Basel), 1994. Re­pub­lished in Am. Math. Mon. 103:7 (1996). MR 1298633 Zbl 0806.​01014 incollection

J. L. Doob: “The de­vel­op­ment of rig­or in math­em­at­ic­al prob­ab­il­ity (1900–1950),” Am. Math. Mon. 103 : 7 (August–September 1996), pp. 586–​595. Ori­gin­ally pub­lished in De­vel­op­ment of math­em­at­ics 1900–1950 (1994). MR 1404084 Zbl 0865.​01011 article

J. L. Snell: “A con­ver­sa­tion with Joe Doob,” Stat­ist. Sci. 12 : 4 (November 1997), pp. 301–​311. MR 1619190 Zbl 0955.​01556 article

J. L. Doob: Clas­sic­al po­ten­tial the­ory and its prob­ab­il­ist­ic coun­ter­part, Re­print edition. Clas­sics in Math­em­at­ics. Spring­er (Ber­lin), 2001. Ori­gin­ally pub­lished in 1984. MR 1814344 Zbl 0990.​31001 book

Amer­ic­an math­em­atician who was re­garded as the grand old man of prob­ab­il­ity, 2004. misc

Joseph Doob, a math pi­on­eer, dies at 94, 2004. Webpage on Uni­versity of Illinois at Urb­ana-Cham­paign De­part­ment of Math­em­at­ics. misc

Re­cord of the cel­eb­ra­tion of the life of Joseph Leo Doob, 2005. Webpage on Uni­versity of Illinois at Urb­ana-Cham­paign De­part­ment of Math­em­at­ics. Ac­count of an event held in Oc­to­ber 2004. misc

J. L. Snell: “Ob­it­u­ary: Joseph Le­onard Doob,” J. Ap­pl. Probab. 42 : 1 (March 2005), pp. 247–​256. MR 2144907 Zbl 1072.​01550 article

D. Burk­hold­er and P. Prot­ter: “Joseph Leo Doob, 1910–2004,” Stochast­ic Pro­cess. Ap­pl. 115 : 7 (July 2005), pp. 1061–​1072. MR 2147241 Zbl 1073.​01516 article

D. Burk­hold­er: “Fore­word,” pp. v in Joseph Doob: A col­lec­tion of math­em­at­ic­al art­icles in his memory, published as Ill. J. Math. 50 : 1–​4. Duke Uni­versity Press (Durham, NC), 2006. MR 2247820 incollection

D. Burk­hold­er: “Joseph Leo Doob (1910–2004),” pp. vii–​viii in Joseph Doob: A col­lec­tion of math­em­at­ic­al art­icles in his memory, published as Ill. J. Math. 50 : 1–​4. Issue edi­ted by D. Burk­hold­er. Duke Uni­versity Press (Durham, NC), 2006. MR 2247821 Zbl 1130.​01303 incollection

M. Yor: “Joseph Leo Doob (27 févri­er 1910–7 juin 2004)” [Joseph Leo Doob (27 Fe­bur­ary 1910–7 June 2004)], Gaz. Math. 114 (2007), pp. 33–​39. MR 2361707 Zbl 1221.​01089 article

Joseph Doob: A col­lec­tion of math­em­at­ic­al art­icles in his memory, published as Ill. J. Math. 50 : 1–​4. Issue edi­ted by D. Burk­hold­er. Duke Uni­versity Press (Durham, NC), 2007. Zbl 1120.​60002 book

J. L. Doob: “Let­ter from Joseph L. Doob, dated June 6, 1985,” J. Élec­tron. Hist. Probab. Stat. 5 : 1 (June 2009). Two page let­ter to Pierre Crépel. MR 2520680 Zbl 1170.​01385 article

J. Yang and L. Pan: “J. L. Doob and stochast­ic pro­cesses,” Math. Pract. The­ory 45 : 9 (2015), pp. 281–​288. With an Eng­lish sum­mary. Zbl 1349.​01046 article