Edit Profile (opens in new tab) Chung, Kai Lai Compute Distance To: Compute Author ID: chung.kai-lai Published as: Chung, K. L.; Chung, Kai Lai; Chung, Kai-Lai; Chung, K.-L.; Chung, Kai L.; Chung, Kailai; Kai Lai Chung more...less External Links: Celebratio Mathematica · MGP · Wikidata · GND · IdRef Documents Indexed: 162 Publications since 1940, including 33 Books 15 Contributions as Editor · 3 Further Contributions Biographic References: 2 Publications Co-Authors: 40 Co-Authors with 72 Joint Publications 1,278 Co-Co-Authors all top 5 Co-Authors 105 single-authored 11 Cinlar, Erhan 10 Getoor, Ronald Kay 9 Rao, Murali 7 Williams, Ruth J. 5 Erdős, Pál 4 Walsh, John Bradstreet 4 Zhao, Zhongxin 3 Hsu, Pao-Lu 3 Kac, Mark 3 Zambrini, Jean-Claude 2 Artin, N. 2 Bru, Bernard 2 Bru, Marie-France 2 Durrett, Richard Timothy 2 Fuchs, Wolfgang H. J. 2 Glover, Joseph 2 Li, Peter 2 Sharpe, Michael J. 2 Varadhan, S. R. Srinivasa 1 Aitsahlia, Farid 1 AitShalia, Farid 1 Alexanderson, Gerald L. 1 Anderson, Theodore Wilbur jun. 1 Artzner, Philippe 1 Assouad, Patrice 1 Balkema, August A. 1 Bingham, Nicholas Hugh 1 Boas, Ralph Philip jun. 1 Bollobás, Béla 1 Bretagnolle, Jean L. 1 Brockwell, Peter J. 1 Cairoli, Renzo 1 Cartier, Pierre 1 Cheng, Chingshui 1 Chiang, Tsepei 1 de Sam Lazaro, José 1 Dellacherie, Claude 1 Derman, Cyrus 1 Doleans-Dade, Catherine 1 Donsker, Monroe D. 1 Doob, Joseph Leonard 1 Feller, William 1 Fitzsimmons, Patrick J. 1 Harding, E. F. 1 Hsu, Elton P. 1 Hsu, Leetsch Charles 1 Hunt, Gilbert Agnew jun. 1 Kendall, David George 1 Kingman, John Frank Charles 1 Lehmann, Erich Leo 1 Lehmer, D. H. 1 Liao, Ming 1 Lindvall, Torgny 1 Maisonneuve, Bernard 1 Meyer, Paul-André 1 Ornstein, Donald Samuel 1 Pollard, Harry 1 Pyke, Ronald 1 Read, Ronald C. 1 Revuz, Daniel 1 Rong, Wu 1 Schattschneider, Doris J. 1 Schiffer, Menahem Max 1 Schoenfeld, Alan H. 1 Sirao, Tunekiti 1 Sykes, Alan M. 1 Taylor, Samuel James 1 Watanabe, Takesi 1 Weil, Michel 1 Williams, David 1 Wolfowitz, Jacob all top 5 Serials 11 Annals of Mathematical Statistics 8 Progress in Probability and Statistics 6 Transactions of the American Mathematical Society 6 Annals of Mathematics. Second Series 6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 6 Grundlehren der Mathematischen Wissenschaften 5 Bulletin of the American Mathematical Society 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Progress in Probability 4 Undergraduate Texts in Mathematics 3 Acta Mathematica 3 Annales de l’Institut Fourier 3 Proceedings of the American Mathematical Society 3 Proceedings of the National Academy of Sciences of the United States of America 2 American Mathematical Monthly 2 American Journal of Mathematics 2 Illinois Journal of Mathematics 2 Journal of Applied Probability 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Mathematical Research & Exposition 2 Mathematics in Practice and Theory 2 Expositiones Mathematicae 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Journal of Research of the National Bureau of Standards 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 Arkiv för Matematik 1 The Annals of Probability 1 Bulletin of the London Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Publications de l’Institut de Statistique de l’Université de Paris 1 Probability and Mathematical Statistics 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Theoretical Probability 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Potential Analysis 1 Theory of Probability and Mathematical Statistics 1 Revue d’Histoire des Mathématiques 1 Methods and Applications of Analysis 1 Journal Électronique d’Histoire des Probabilités et de la Statistique 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Skandinavisk Aktuarietidskrift 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Monographs of the Portuguese Mathematical Society 1 Modern Birkhäuser Classics 1 Probability and its Applications 1 Wiley Series in Probability and Mathematical Statistics 1 Springer Collected Works in Mathematics 1 MAA Spectrum all top 5 Fields 111 Probability theory and stochastic processes (60-XX) 18 General and overarching topics; collections (00-XX) 12 History and biography (01-XX) 10 Potential theory (31-XX) 10 Partial differential equations (35-XX) 7 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Statistics (62-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 2,584 times in 2,389 Documents Cited by ▼ Year ▼ A course in probability theory. Zbl 0159.45701Chung, K. L. 278 1968 A course in probability theory. 2nd ed. Zbl 0345.60003Chung, Kai Lai 265 1974 Markov chains with stationary transition probabilities. 2nd ed. Zbl 0146.38401Chung, K. L. 263 1967 From Brownian motion to Schrödinger’s equation. Zbl 0819.60068Chung, Kai L.; Zhao, Zhongxin 197 1995 Markov chains with stationary transition probabilities. Zbl 0092.34304Chung, Kai Lai 186 1960 Introduction to stochastic integration. 2nd ed. Zbl 0725.60050Chung, K. L.; Williams, R. J. 84 1990 Lectures from Markov processes to Brownian motion. Zbl 0503.60073Chung, Kai Lai 81 1982 On the application of the Borel-Cantelli lemma. Zbl 0046.35203Chung, Kai Lai; Erdős, Pál 76 1952 Markov processes, Brownian motion, and time symmetry. 2nd ed. Zbl 1082.60001Chung, Kai Lai; Walsh, John B. 75 2005 On the maximum partial sums of sequences of independent random variables. Zbl 0032.17102Chung, Kai Lai 74 1948 On a stochastic approximation method. Zbl 0059.13203Chung, K. L. 72 1954 An estimate concerning the Kolmogoroff limit distribution. Zbl 0034.22602Chung, Kai-Lai 66 1949 Introduction to stochastic integration. Zbl 0527.60058Chung, K. L.; Williams, R. J. 63 1983 On the distribution of values of sums of random variables. Zbl 0042.37502Chung, K. L.; Fuchs, W. H. J. 60 1951 Excursions in Brownian motion. Zbl 0356.60033Chung, Kai Lai 52 1976 On fluctations in coin-tossing. Zbl 0037.36310Chung, Kai Lai; Feller, W. 46 1949 A note on the ergodic theorem of information theory. Zbl 0115.35503Chung, K. L. 40 1961 Probability limit theorems assuming only the first moment. I. Zbl 0042.37601Chung, Kai Lai; Erdős, Pál 28 1951 Feynman-Kac functional and the Schrödinger equation. Zbl 0492.60073Chung, K. L.; Rao, K. M. 27 1981 On the zero \(\sum_1^n\pm 1\). Zbl 0032.41701Chung, K. L.; Hunt, G. A. 25 1949 Probabilistic approach to the equilibrium problem in potential theory. Zbl 0258.31012Chung, Kai Lai 24 1973 Markov chains with stationary transition probabilities. Zbl 0121.12901Chung, K. L. 23 1964 Fields, optionality and measurability. Zbl 0192.24604Chung, K. L.; Doob, Joseph L. 23 1965 On the Lipschitz’s condition for Brownian motion. Zbl 0091.13301Chung, Kai Lai; Erdős, Pál; Sirao, T. 22 1959 To reverse a Markov process. Zbl 0187.41302Chung, K. L.; Walsh, John B. 20 1969 The general theory of Markov processes according to Doeblin. Zbl 0119.34604Chung, K. L. 18 1964 Note on some strong laws of large numbers. Zbl 0034.07103Chung, Kai-Lai 17 1947 The lifetime of conditional Brownian motion in the plane. Zbl 0573.60070Chung, Kai Lai 16 1984 A course in probability theory. 3rd ed. Zbl 0980.60001Chung, Kai Lai 16 2000 General gauge theorem for multiplicative functionals. Zbl 0647.60083Chung, K. L.; Rao, K. M. 16 1988 On the boundary theory for Markov chains. II. Zbl 0315.60041Chung, Kai Lai 15 1966 Lectures on boundary theory for Markov chains. Zbl 0204.51003Chung, K. L. 14 1970 On the exponential formulas of semi-group theory. Zbl 0106.31201Chung, Kai Lai 13 1962 Introduction to random time and quantum randomness. new edition. Zbl 1041.81074Chung, Kai Lai; Zambrini, Jean-Claude 12 2003 The approximate distribution of Student’s statistics. Zbl 0063.00894Chung, Kai-Lai 11 1946 On the boundary theory for Markov chains. Zbl 0292.60121Chung, Kai Lai 10 1963 On the lower limit of sums of independent random variables. Zbl 0029.15202Chung, Kai Lai; Erdős, Pál 10 1947 Doubly-Feller process with multiplicative functional. Zbl 0603.60066Chung, K. L. 10 1986 A new setting for potential theory. I. Zbl 0424.31004Chung, Kai Lai; Rao, K. Murali 9 1980 Contributions to the theory of Markov chains. II. Zbl 0058.34602Chung, K. L. 9 1954 From Brownian motion to Schrödinger’s equation. 2nd corrected printing. Zbl 1195.60002Chung, Kai L.; Zhao, Zhongxin 8 2001 Non-recurrent random walks. Zbl 0072.35301Chung, K. L.; Derman, C. 8 1956 Left continuous moderate Markov processes. Zbl 0413.60063Chung, Kai Lai; Glover, Joseph 8 1979 Kac functional and Schrödinger equation. Zbl 0448.60054Chung, Kai Lai; Varadhan, S. R. S. 7 1980 The condenser problem. Zbl 0381.60064Chung, K. L.; Getoor, R. K. 7 1977 Asymptotic distribution of the maximum cumulative sums of independent random variables. Zbl 0035.08601Chung, Kai Lai 7 1948 Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503Chung, K. L.; Kac, M. 7 1951 An extension of renewal theory. Zbl 0047.12403Chung, Kai Lai; Pollard, Harry 7 1952 On the recurrence of sums of random variables. Zbl 0104.11904Chung, K. L.; Ornstein, Donald 7 1962 Introduction to stochastic integration. Reprint of the 1990 2nd edition. Zbl 1279.60002Chung, Kai Lai; Williams, Ruth J. 7 2014 Greenian bounds for Markov processes. Zbl 1081.60543Chung, Kai Lai 6 1992 The Poisson process as renewal process. Zbl 0278.60061Chung, K. L. 6 1972 Meyer’s theorem on predictability. Zbl 0284.60069Chung, Kai Lai; Walsh, John B. 6 1974 Maxima in Brownian excursions. Zbl 0325.60077Kai Lai Chung 6 1975 Downcrossings and local time. Zbl 0348.60111Chung, Kai Lai; Durrett, Richard 6 1976 On the probability of the occurrence of at least \(m\) events among n arbitrary events. Zbl 0026.32902Chung, Kai Lai 6 1941 Sur la théorie du potentiel avec la fonctionnelle de Feynman-Kac. Zbl 0439.31005Chung, Kai Lai; Rao, K. Murali 5 1980 A cluster of great formulas. Zbl 0495.60020Chung, K. L. 5 1982 The strong law of large numbers. Zbl 0044.13701Chung, Kai Lai 5 1951 On a limit theorem in renewal theory. Zbl 0047.12402Chung, K. L.; Wolfowitz, Jacob 5 1952 Sur les lois de probabilité unimodales. Zbl 0050.13702Chung, K. L. 5 1953 Contributions to the theory of Markov chains. Zbl 0053.27201Chung, Kai Lai 5 1953 Some new developments in Markov chains. Zbl 0075.14001Chung, K. L. 4 1956 Stochastic analysis . A tribute to the memory of Rollo Davidson. Zbl 0266.60038 4 1973 Emptiness times of a dam with stable input and general release function. Zbl 0316.60066Brockwell, P. J.; Chung, K. L. 4 1975 On the renewal theorem in higher dimensions. Zbl 0048.11103Chung, Kai Lai 4 1952 Elementary probability theory with stochastic processes. 3rd ed. Zbl 0404.60002Chung, Kai Lai 4 1979 On mutually favorable events. Zbl 0060.28313Chung, Kai-Lai 4 1942 On stopped Feynman-Kac functionals. Zbl 0444.60061Chung, Kai Lai 3 1980 Elementary probability theory with stochastic processes. Zbl 0293.60001Chung, Kai Lai 3 1974 Sur une équation de convolution. Zbl 0145.15401Chung, K. L. 3 1965 Equilibrium and energy. Zbl 0502.60060Chung, Kai Lai; Rao, Murali 2 1980 Extension of domains with finite gauge. Zbl 0519.60080Chung, K. L.; Durrett, R.; Zhao, Zhongxin 2 1983 The gauge and conditional gauge theorem. Zbl 0561.60084Chung, K. L. 2 1985 Note on a theorem on quadratic residues. Zbl 0027.15605Chung, Kai-Lai 2 1941 Fluctuations of sums of independent random variables. Zbl 0037.08301Chung, Kai Lai 2 1950 Generalization of Poincaré’s formula in the theory of probability. Zbl 0060.28309Chung, Kai Lai 2 1943 A combinatorial formula and its application to the theory of probability of arbitrary events. Zbl 0060.28310Chung, Kai-Lai; Hsu, Lietz C. 2 1945 Sur une équation de convolution. Zbl 0145.15402Chung, K. L. 2 1965 On the Martin boundary for Markov chains. Zbl 0228.60030Chung, K. L. 2 1962 Four papers on probability. Zbl 1415.60003Chung, Kai Lai; Donsker, M. D.; Erdős, Paul; Fuchs, Wolfgang H. J.; Kac, M. 2 1951 Comparison of probability and eigenvalue methods for the Schrödinger equation. Zbl 0608.60061Chung, K. L.; Li, Peter 2 1986 On the fundamental hypotheses of Hunt processes. Zbl 0242.60031Chung, Kai Lai 2 1972 Green, Brown, and probability & Brownian motion on the line. 2nd revised and augmented ed. Zbl 1014.60001Chung, Kai Lai 1 2002 Borel and the St. Petersburg martingale. Zbl 1170.01367Bru, Bernard; Bru, Marie-France; Chung, Kai Lai 1 2009 Some aspects of continuous parameter Markov chains. Zbl 0082.34502Chung, K. L. 1 1957 Collected papers. Ed. by Kai Lai Chung. With the cooperation of Ching- Shui Cheng and Tse-Pei Chiang. Zbl 0508.01028Hsu, Pao-Lu 1 1983 Introduction to random times and quantum randomness. Zbl 1021.81500Chung, Kai Lai; Zambrini, Jean-Claude 1 2001 Borel and the St. Petersburg martingale. (Borel et la martingale de Saint-Pétersbourg.) Zbl 0979.01018Bru, Bernard; Bru, Marie-France; Chung, Kai Lai 1 1999 Conditional gauges. Zbl 0552.60073Chung, K. L. 1 1984 Hsu Pao-Lu (1910-1970). Zbl 0567.01028Anderson, T. W.; Chung, K. L.; Lehmann, E. L. 1 1980 Gauge theorem for the Neumann problem. Zbl 0585.60064Chung, K. L.; Hsu, Pei 1 1986 A bivariate distribution in regeneration. Zbl 0326.60034Chung, Kai Lai 1 1975 Remarks on equilibrium potential and energy. Zbl 0338.31001Chung, Kai Lai 1 1975 A generalization of an inequality in the elementary theory of numbers. JFM 67.0109.03Chung, K.-L. 1 1941 Corrections to the paper “Remarks on fluctuations of sums of independent random variables”. Zbl 0050.35304Chung, K. L.; Kac, M. 1 1953 On last exit times. Zbl 0094.32102Chung, K. L. 1 1960 Some remarks on taboo probabilities. Zbl 0101.11601Chung, K. L. 1 1961 An inequality for boundary value problems. Zbl 0528.60071Chung, K. L. 1 1983 The random walks of George Pólya. With essays by Ralph P. Boas jr., Kai Lai Chung, D. H. Lehmer, R. C. Read, Doris Schattschneider, M. M. Schiffer, and Alan Schoenfeld. Zbl 0942.01028Alexanderson, Gerald L. 1 2000 Introduction to stochastic integration. Reprint of the 1990 2nd edition. Zbl 1279.60002Chung, Kai Lai; Williams, Ruth J. 7 2014 Kac functional and Schrödinger equation. Zbl 1316.60117Chung, Kai Lai; Varadhan, S. R. S. 1 2012 Borel and the St. Petersburg martingale. Zbl 1170.01367Bru, Bernard; Bru, Marie-France; Chung, Kai Lai 1 2009 Markov processes, Brownian motion, and time symmetry. 2nd ed. Zbl 1082.60001Chung, Kai Lai; Walsh, John B. 75 2005 Introduction to random time and quantum randomness. new edition. Zbl 1041.81074Chung, Kai Lai; Zambrini, Jean-Claude 12 2003 Green, Brown, and probability & Brownian motion on the line. 2nd revised and augmented ed. Zbl 1014.60001Chung, Kai Lai 1 2002 From Brownian motion to Schrödinger’s equation. 2nd corrected printing. Zbl 1195.60002Chung, Kai L.; Zhao, Zhongxin 8 2001 Introduction to random times and quantum randomness. Zbl 1021.81500Chung, Kai Lai; Zambrini, Jean-Claude 1 2001 A course in probability theory. 3rd ed. Zbl 0980.60001Chung, Kai Lai 16 2000 The random walks of George Pólya. With essays by Ralph P. Boas jr., Kai Lai Chung, D. H. Lehmer, R. C. Read, Doris Schattschneider, M. M. Schiffer, and Alan Schoenfeld. Zbl 0942.01028Alexanderson, Gerald L. 1 2000 Borel and the St. Petersburg martingale. (Borel et la martingale de Saint-Pétersbourg.) Zbl 0979.01018Bru, Bernard; Bru, Marie-France; Chung, Kai Lai 1 1999 Probability and Doob. Zbl 0918.60007Chung, Kai Lai 1 1998 From Brownian motion to Schrödinger’s equation. Zbl 0819.60068Chung, Kai L.; Zhao, Zhongxin 197 1995 Green, Brown, and probability. Zbl 0871.60001Chung, Kai Lai 1 1995 Greenian bounds for Markov processes. Zbl 1081.60543Chung, Kai Lai 6 1992 Introduction to stochastic integration. 2nd ed. Zbl 0725.60050Chung, K. L.; Williams, R. J. 84 1990 Seminar on stochastic processes, held at the University of California at San Diego, CA (USA), March 30-April 1, 1989. Zbl 0686.00017 1 1990 General gauge theorem for multiplicative functionals. Zbl 0647.60083Chung, K. L.; Rao, K. M. 16 1988 Reminiscences of some of Paul Lévy’s ideas in Brownian motion and in Markov chains. Zbl 0665.60076Chung, Kailai 1 1988 Green’s function for a ball. Zbl 0643.31007Chung, K. L. 1 1987 Doubly-Feller process with multiplicative functional. Zbl 0603.60066Chung, K. L. 10 1986 Comparison of probability and eigenvalue methods for the Schrödinger equation. Zbl 0608.60061Chung, K. L.; Li, Peter 2 1986 Gauge theorem for the Neumann problem. Zbl 0585.60064Chung, K. L.; Hsu, Pei 1 1986 Comparison of probability and classical methods for the Schrödinger equation. Zbl 0623.60097Chung, K. L.; Li, P.; Williams, R. J. 1 1986 The gauge and conditional gauge theorem. Zbl 0561.60084Chung, K. L. 2 1985 The lifetime of conditional Brownian motion in the plane. Zbl 0573.60070Chung, Kai Lai 16 1984 Conditional gauges. Zbl 0552.60073Chung, K. L. 1 1984 Introduction to stochastic integration. Zbl 0527.60058Chung, K. L.; Williams, R. J. 63 1983 Extension of domains with finite gauge. Zbl 0519.60080Chung, K. L.; Durrett, R.; Zhao, Zhongxin 2 1983 Collected papers. Ed. by Kai Lai Chung. With the cooperation of Ching- Shui Cheng and Tse-Pei Chiang. Zbl 0508.01028Hsu, Pao-Lu 1 1983 An inequality for boundary value problems. Zbl 0528.60071Chung, K. L. 1 1983 Lectures from Markov processes to Brownian motion. Zbl 0503.60073Chung, Kai Lai 81 1982 A cluster of great formulas. Zbl 0495.60020Chung, K. L. 5 1982 Feynman-Kac functional and the Schrödinger equation. Zbl 0492.60073Chung, K. L.; Rao, K. M. 27 1981 A new setting for potential theory. I. Zbl 0424.31004Chung, Kai Lai; Rao, K. Murali 9 1980 Kac functional and Schrödinger equation. Zbl 0448.60054Chung, Kai Lai; Varadhan, S. R. S. 7 1980 Sur la théorie du potentiel avec la fonctionnelle de Feynman-Kac. Zbl 0439.31005Chung, Kai Lai; Rao, K. Murali 5 1980 On stopped Feynman-Kac functionals. Zbl 0444.60061Chung, Kai Lai 3 1980 Equilibrium and energy. Zbl 0502.60060Chung, Kai Lai; Rao, Murali 2 1980 Hsu Pao-Lu (1910-1970). Zbl 0567.01028Anderson, T. W.; Chung, K. L.; Lehmann, E. L. 1 1980 Left continuous moderate Markov processes. Zbl 0413.60063Chung, Kai Lai; Glover, Joseph 8 1979 Elementary probability theory with stochastic processes. 3rd ed. Zbl 0404.60002Chung, Kai Lai 4 1979 The condenser problem. Zbl 0381.60064Chung, K. L.; Getoor, R. K. 7 1977 Excursions in Brownian motion. Zbl 0356.60033Chung, Kai Lai 52 1976 Downcrossings and local time. Zbl 0348.60111Chung, Kai Lai; Durrett, Richard 6 1976 Maxima in Brownian excursions. Zbl 0325.60077Kai Lai Chung 6 1975 Emptiness times of a dam with stable input and general release function. Zbl 0316.60066Brockwell, P. J.; Chung, K. L. 4 1975 A bivariate distribution in regeneration. Zbl 0326.60034Chung, Kai Lai 1 1975 Remarks on equilibrium potential and energy. Zbl 0338.31001Chung, Kai Lai 1 1975 A course in probability theory. 2nd ed. Zbl 0345.60003Chung, Kai Lai 265 1974 Meyer’s theorem on predictability. Zbl 0284.60069Chung, Kai Lai; Walsh, John B. 6 1974 Elementary probability theory with stochastic processes. Zbl 0293.60001Chung, Kai Lai 3 1974 Probabilistic approach to the equilibrium problem in potential theory. Zbl 0258.31012Chung, Kai Lai 24 1973 Stochastic analysis . A tribute to the memory of Rollo Davidson. Zbl 0266.60038 4 1973 The Poisson process as renewal process. Zbl 0278.60061Chung, K. L. 6 1972 On the fundamental hypotheses of Hunt processes. Zbl 0242.60031Chung, Kai Lai 2 1972 Some universal field equations. Zbl 0238.60034Chung, Kai Lai 1 1972 Lectures on boundary theory for Markov chains. Zbl 0204.51003Chung, K. L. 14 1970 To reverse a Markov process. Zbl 0187.41302Chung, K. L.; Walsh, John B. 20 1969 A course in probability theory. Zbl 0159.45701Chung, K. L. 278 1968 Markov chains with stationary transition probabilities. 2nd ed. Zbl 0146.38401Chung, K. L. 263 1967 Markov processes with infinities. Zbl 0189.17703Chung, K. L. 1 1967 On the boundary theory for Markov chains. II. Zbl 0315.60041Chung, Kai Lai 15 1966 Fields, optionality and measurability. Zbl 0192.24604Chung, K. L.; Doob, Joseph L. 23 1965 Sur une équation de convolution. Zbl 0145.15401Chung, K. L. 3 1965 Sur une équation de convolution. Zbl 0145.15402Chung, K. L. 2 1965 Markov chains with stationary transition probabilities. Zbl 0121.12901Chung, K. L. 23 1964 The general theory of Markov processes according to Doeblin. Zbl 0119.34604Chung, K. L. 18 1964 On the boundary theory for Markov chains. Zbl 0292.60121Chung, Kai Lai 10 1963 On the exponential formulas of semi-group theory. Zbl 0106.31201Chung, Kai Lai 13 1962 On the recurrence of sums of random variables. Zbl 0104.11904Chung, K. L.; Ornstein, Donald 7 1962 On the Martin boundary for Markov chains. Zbl 0228.60030Chung, K. L. 2 1962 A note on the ergodic theorem of information theory. Zbl 0115.35503Chung, K. L. 40 1961 Some remarks on taboo probabilities. Zbl 0101.11601Chung, K. L. 1 1961 Probabilistic methods in Markov chains. Zbl 0106.33303Chung, K. L. 1 1961 Markov chains with stationary transition probabilities. Zbl 0092.34304Chung, Kai Lai 186 1960 On last exit times. Zbl 0094.32102Chung, K. L. 1 1960 On the Lipschitz’s condition for Brownian motion. Zbl 0091.13301Chung, Kai Lai; Erdős, Pál; Sirao, T. 22 1959 On a basic property of Markov chains. Zbl 0228.60023Chung, K. L. 1 1958 Some aspects of continuous parameter Markov chains. Zbl 0082.34502Chung, K. L. 1 1957 Non-recurrent random walks. Zbl 0072.35301Chung, K. L.; Derman, C. 8 1956 Some new developments in Markov chains. Zbl 0075.14001Chung, K. L. 4 1956 On a stochastic approximation method. Zbl 0059.13203Chung, K. L. 72 1954 Contributions to the theory of Markov chains. II. Zbl 0058.34602Chung, K. L. 9 1954 Sur les lois de probabilité unimodales. Zbl 0050.13702Chung, K. L. 5 1953 Contributions to the theory of Markov chains. Zbl 0053.27201Chung, Kai Lai 5 1953 Corrections to the paper “Remarks on fluctuations of sums of independent random variables”. Zbl 0050.35304Chung, K. L.; Kac, M. 1 1953 On the application of the Borel-Cantelli lemma. Zbl 0046.35203Chung, Kai Lai; Erdős, Pál 76 1952 An extension of renewal theory. Zbl 0047.12403Chung, Kai Lai; Pollard, Harry 7 1952 On a limit theorem in renewal theory. Zbl 0047.12402Chung, K. L.; Wolfowitz, Jacob 5 1952 On the renewal theorem in higher dimensions. Zbl 0048.11103Chung, Kai Lai 4 1952 On the distribution of values of sums of random variables. Zbl 0042.37502Chung, K. L.; Fuchs, W. H. J. 60 1951 Probability limit theorems assuming only the first moment. I. Zbl 0042.37601Chung, Kai Lai; Erdős, Pál 28 1951 Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503Chung, K. L.; Kac, M. 7 1951 The strong law of large numbers. Zbl 0044.13701Chung, Kai Lai 5 1951 Four papers on probability. Zbl 1415.60003Chung, Kai Lai; Donsker, M. D.; Erdős, Paul; Fuchs, Wolfgang H. J.; Kac, M. 2 1951 Fluctuations of sums of independent random variables. Zbl 0037.08301Chung, Kai Lai 2 1950 An estimate concerning the Kolmogoroff limit distribution. Zbl 0034.22602Chung, Kai-Lai 66 1949 On fluctations in coin-tossing. Zbl 0037.36310Chung, Kai Lai; Feller, W. 46 1949 On the zero \(\sum_1^n\pm 1\). Zbl 0032.41701Chung, K. L.; Hunt, G. A. 25 1949 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,629 Authors 38 Song, Renming 26 Chen, Zhen-Qing 24 Kim, Panki 22 Csáki, Endre 21 Chung, Kai Lai 19 Révész, Pál 18 Yang, Weiguo 17 Glynn, Peter W. 16 Zhao, Zhongxin 15 Chen, Anyue 14 Földes, Antónia 14 Mâagli, Habib 13 Kingman, John Frank Charles 12 Bogdan, Krzysztof 12 Vondraček, Zoran 12 Yor, Marc 11 Csörgő, Miklós 11 Deheuvels, Paul 11 Getoor, Ronald Kay 11 Shi, Zhiyan 11 Sznitman, Alain-Sol 11 Williams, Ruth J. 10 Guo, Xianping 9 Aaronson, Jon 9 Glover, Joseph 9 Kesten, Harry 9 Pitman, Jim William 9 Rao, Murali 9 Shi, Zhan 9 Wang, Jian 9 Yin, Gang George 8 Bachar, Imed 8 Horváth, Lajos 8 Khoshnevisan, Davar 8 Kuwae, Kazuhiro 8 Michta, Mariusz 8 Tweedie, Richard Lewis 8 Whitt, Ward 7 Fitzsimmons, Patrick J. 7 Jakubowski, Tomasz 7 Malinowski, Marek T. 7 Petrov, Valentin Vladimirovich 7 Walsh, John Bradstreet 7 Zeddini, Noureddine 7 Zribi, Malek 6 Chen, Xin 6 Frolov, Andreĭ Nikolaevich 6 Grübel, Rudolf 6 Hernández-Lerma, Onésimo 6 Hinderer, Karl 6 Hwang, Chi-Ok 6 Iglehart, Donald Lee 6 Kaleta, Kamil 6 Klimsiak, Tomasz 6 Li, Junping 6 Liu, Wen 6 Louchard, Guy 6 Menshikov, Mikhail V. 6 Mukherjea, Arunava 6 Ryznar, Michał 6 Verbitsky, Igor E. 6 Wade, Andrew R. 5 Albeverio, Sergio A. 5 Ben Chrouda, Mohamed 5 Bingham, Nicholas Hugh 5 Bulinskaya, Ekaterina Vladimirovna 5 Burdzy, Krzysztof 5 Byczkowski, Tomasz 5 Chen, Xia 5 Derman, Cyrus 5 Devroye, Luc P. J. A. 5 Döring, Leif 5 Duffie, James Darrell 5 Erdős, Pál 5 Götze, Friedrich 5 Hall, Peter Gavin 5 Huang, Chifu 5 Jain, Naresh C. 5 Kim, Daehong 5 Kulczycki, Tadeusz 5 Kyprianou, Andreas E. 5 Małecki, Jacek 5 Müller, Carl E. 5 Peres, Yuval 5 Pittenger, Arthur O. 5 Renshaw, Eric 5 Salminen, Paavo H. 5 Shao, Qi-Man 5 Spitzer, Frank L. 5 Sucheston, Louis 5 Wang, Zhongzhi 5 Williams, David 5 Yeh, Yeong-Nan 5 Zhang, Hanjun 5 Zhang, Qing 4 Alvarez-Andrade, Sergio 4 Athreya, Krishna Balasundaram 4 Bañuelos, Rodrigo 4 Bentkus, Vidmants-Kastytis 4 Beznea, Lucian ...and 2,529 more Authors all top 5 Cited in 408 Serials 167 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 114 Stochastic Processes and their Applications 95 Statistics & Probability Letters 87 Transactions of the American Mathematical Society 68 Probability Theory and Related Fields 67 Journal of Mathematical Analysis and Applications 64 Journal of Theoretical Probability 59 The Annals of Probability 47 Proceedings of the American Mathematical Society 37 Journal of Statistical Planning and Inference 32 Communications in Statistics. Theory and Methods 32 Potential Analysis 31 Journal of Functional Analysis 25 Annals of the Institute of Statistical Mathematics 25 Journal of Multivariate Analysis 25 The Annals of Applied Probability 24 Journal of Statistical Physics 23 Journal of Applied Probability 21 Journal of Economic Theory 20 Israel Journal of Mathematics 20 Journal of Econometrics 19 The Annals of Statistics 19 Stochastic Analysis and Applications 18 Operations Research Letters 18 Queueing Systems 17 Communications in Mathematical Physics 15 Acta Mathematicae Applicatae Sinica. English Series 15 Probability in the Engineering and Informational Sciences 14 Advances in Applied Probability 14 Automatica 14 Journal of Mathematical Economics 13 Discrete Mathematics 13 Bulletin of the American Mathematical Society 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Mathematische Zeitschrift 12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 12 Bernoulli 11 Journal d’Analyse Mathématique 11 Metrika 11 Mathematische Nachrichten 11 Journal of Mathematical Sciences (New York) 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Economic Theory 10 Science China. Mathematics 9 The Canadian Journal of Statistics 9 Communications on Pure and Applied Mathematics 9 Mathematical Biosciences 9 Duke Mathematical Journal 9 Fuzzy Sets and Systems 9 Mathematische Annalen 9 Stochastics and Dynamics 8 Periodica Mathematica Hungarica 8 Annales de l’Institut Fourier 8 Journal of Approximation Theory 8 Journal of Differential Equations 8 Journal of Optimization Theory and Applications 8 Theoretical Computer Science 8 Journal of Time Series Analysis 8 Statistical Science 8 Mathematical and Computer Modelling 8 Annals of Operations Research 8 Mathematical Programming. Series A. Series B 7 Lithuanian Mathematical Journal 7 Acta Mathematica 7 Czechoslovak Mathematical Journal 7 Inventiones Mathematicae 7 Journal of Computational and Applied Mathematics 7 Journal of the Mathematical Society of Japan 7 Monatshefte für Mathematik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Sequential Analysis 7 Electronic Journal of Probability 7 Finance and Stochastics 6 Information Processing Letters 6 Mathematical Notes 6 Mathematics of Computation 6 Applied Mathematics and Computation 6 Applied Mathematics and Optimization 6 Journal of Mathematical Psychology 6 Journal of Soviet Mathematics 6 Kybernetika 6 Mathematics and Computers in Simulation 6 Nagoya Mathematical Journal 6 Advances in Applied Mathematics 6 Insurance Mathematics & Economics 6 Acta Applicandae Mathematicae 6 Statistics 6 Journal of Economic Dynamics & Control 6 European Journal of Operational Research 6 Acta Mathematica Sinica. New Series 6 Vestnik St. Petersburg University. Mathematics 6 Test 6 Journal of Nonparametric Statistics 6 Abstract and Applied Analysis 6 Acta Mathematica Sinica. English Series 6 Methodology and Computing in Applied Probability 6 Journal of Evolution Equations 6 Journal of the Australian Mathematical Society 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 International Journal of Control ...and 308 more Serials all top 5 Cited in 52 Fields 1,529 Probability theory and stochastic processes (60-XX) 389 Statistics (62-XX) 177 Partial differential equations (35-XX) 138 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 131 Operations research, mathematical programming (90-XX) 95 Numerical analysis (65-XX) 92 Operator theory (47-XX) 89 Potential theory (31-XX) 84 Systems theory; control (93-XX) 73 Combinatorics (05-XX) 71 Computer science (68-XX) 63 Statistical mechanics, structure of matter (82-XX) 55 Measure and integration (28-XX) 50 Number theory (11-XX) 45 Dynamical systems and ergodic theory (37-XX) 45 Quantum theory (81-XX) 44 Biology and other natural sciences (92-XX) 35 Functional analysis (46-XX) 32 Information and communication theory, circuits (94-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Ordinary differential equations (34-XX) 20 Real functions (26-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Approximations and expansions (41-XX) 12 Functions of a complex variable (30-XX) 11 History and biography (01-XX) 11 Mathematical logic and foundations (03-XX) 10 Abstract harmonic analysis (43-XX) 9 Differential geometry (53-XX) 8 Special functions (33-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Convex and discrete geometry (52-XX) 6 Group theory and generalizations (20-XX) 6 Sequences, series, summability (40-XX) 6 Fluid mechanics (76-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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