LEADER 04394nam 22006014a 450 001 9910782284303321 005 20221108040823.0 010 $a1-281-87725-5 010 $a9786611877255 010 $a981-256-713-5 035 $a(CKB)1000000000537874 035 $a(DLC)2004043127 035 $a(StDuBDS)AH24683688 035 $a(SSID)ssj0000119694 035 $a(PQKBManifestationID)11133118 035 $a(PQKBTitleCode)TC0000119694 035 $a(PQKBWorkID)10073813 035 $a(PQKB)10547312 035 $a(MiAaPQ)EBC1681347 035 $a(WSP)00005627 035 $a(Au-PeEL)EBL1681347 035 $a(CaPaEBR)ebr10255832 035 $a(CaONFJC)MIL187725 035 $a(OCoLC)879025149 035 $a(PPN)164793550 035 $a(EXLCZ)991000000000537874 100 $a20041007d2004 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aChance & choice$b[electronic resource] $ememorabilia /$fKai Lai Chung 210 $aRiver Edge, N.J. $cWorld Scientific$dc2004 215 $a1 online resource (ix, 304 p. ) $cill 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a981-256-012-2 320 $aIncludes bibliographical references. 327 $apt. A. 1. Will the sun rise again? -- 2. ??????????? / with ??? -- 3. Sur un théorème de M. Gumbel -- 4. On the probability of the occurrence of at least m events among n arbitrary events -- 5. On mutually favorable events -- 6. Sur un théorème de probabilités dénombrables / with P.L. Hsu -- 7. On the maximum partial sum of independent random variables -- 8. On fluctuations in coin-tossing / with W. Feller -- 9. Multinomial ratio [Paul Erdös solves a problem] -- 10. On the renewal theorem in higher dimensions -- 11. On a stochastic approximation method -- 12. Contributions to the theory of Markov chains -- 13. On the Martin boundary for Markov chains -- 14. Sur une équation de convolution -- 15. A simple proof of Doob's convergence theorem -- 16. Remarks on equilibrium potential and energy -- 17. Maxima in Brownian excursions -- 18. A cluster of great formulas -- 19. Probabilistic approach to boundary value problems for Schrödinger's equation -- 20. "Markov Chain Must Have a Beginning" in memory of Prof. Loo-Keng Hua (???) -- 21. Sul problema del ritorno all'equilibrio -- pt. B. 1. Continuous parameter Markov chains -- 2. Probabilistic methods in Markov chains -- 3. Markov processes with infinities -- 4. On diverse questions of time reversing in Markov chains (and processes) -- 5. Boundary behavior of Markov chains and its contributions to general processes -- 6. On the fundamental hypotheses of hunt processes -- 7. Probability methods in potential theory -- pt. C. 1. Hsu's work in probability -- 2. Reminiscences of some of Paul Lévy's ideas in Brownian motion and in Markov chains -- 3. Pólya's work in probability -- 4. Reminiscences of one of Doeblin's papers -- 5. Probability and Doob -- 6. In memory of Lévy and Fréchet -- 7. Book review. Stochastic Processes. By J.L. Doob -- 8. Book review. Wahrscheinlichkeitsrechnung mit einem Anhang über Informations-theorie. By A. Renyi -- 9. Book review. An Introduction to Probability Theory and its Applications 2, 2nd ed. By William Feller -- 10. Mathematics and applications. 330 $aThis book begins with a historical essay entitled "Will the Sun Rise Again?" and ends with a general address entitled "Mathematics and Applications". The articles cover an interesting range of topics: combinatoric probabilities, classical limit theorems, Markov chains and processes, potential theory, Brownian motion, Schrödinger?Feynman problems, etc. They include many addresses presented at international conferences and special seminars, as well as memorials to and reminiscences of prominent contemporary mathematicians and reviews of their works. Rare old photos of many of them enliven the book. 606 $aProbabilities 606 $aStochastic processes 615 0$aProbabilities. 615 0$aStochastic processes. 676 $a519.2 700 $aChung$b Kai Lai$f1917-2009.$012286 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782284303321 996 $aChance & choice$91104563 997 $aUNINA