Edit Profile (opens in new tab) Kac, Mark Compute Distance To: Compute Author ID: kac.mark Published as: Kac, M.; Kac, Mark; Kac, Marc; Kats, M. Further Spellings: Кац М External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 175 Publications since 1933, including 21 Books 2 Contributions as Editor · 10 Further Contributions Biographic References: 13 Publications Co-Authors: 49 Co-Authors with 80 Joint Publications 1,317 Co-Co-Authors all top 5 Co-Authors 102 single-authored 11 Erdős, Pál 10 Van Kampen, Egbert Rudolf 8 Steinhaus, Hugo 8 Wintner, Aurel 7 Uhlenbeck, George Eugene 6 Ulam, Stanisław Marcin 5 van Moerbeke, Pierre 3 Boudreau, P. E. 3 Chandrasekhar, Subrahmanyan 3 Chung, Kai Lai 3 Doob, Joseph Leonard 3 Rota, Gian-Carlo 3 Schwartz, Jacob Theodore 3 Zygmund, Antoni 2 Agnew, Ralph Palmer 2 Banach, Stefan 2 Borsuk, Karol 2 Donsker, Monroe D. 2 Ford, G. W. 2 Granas, Andrzej 2 Griffin, John S. jun. 2 Kaczmarz, Stefan 2 Knaster, Bronisław 2 Kuratowski, Kazimierz 2 Levinson, Norman 2 Mauldin, Richard Daniel 2 McEliece, Robert James 2 Renz, Peter L. 2 Rice, Stephen O. 2 Saks, Stanisław 2 Salem, Raphael 2 Schauder Juliusz 2 Szegő, Gábor 2 Thompson, Colin J. 2 Ward, Gus 2 Wax, Nelson 1 Abbott, James C. 1 Baclawski, Kenneth 1 Bartlett, Maurice Stevenson 1 Berlin, T. H. 1 Biler, Piotr 1 Birnbaum, Zygmunt Wilhelm 1 Bliss, Gilbert Ames 1 Boas, Ralph Philip jun. 1 Bose, Raj Chandra 1 Brelot, Marcel 1 Browder, Felix Earl 1 Burnicki, Alojzy 1 Ciesielski, Zbigniew 1 Darling, Donald A. 1 Davis, Martin David 1 Davis, Philip J. 1 de Finetti, Bruno 1 Ehrenfest-Afanas’eva, Tat’yana Alekseevna 1 Ehrenfest, Paul 1 Finney, David J. 1 Frank, Philipp 1 Fuchs, Wolfgang H. J. 1 Gani, Joseph Mark 1 Gates, David J. 1 Gaveau, Bernard 1 Gerst, Irving 1 Gerstenhaber, Murray 1 Gohberg, Israel 1 Gutkin, Eugene 1 Hale-La Salle 1 Hardy, Godfrey Harold 1 Helfand, Eugene 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Hibbs, Albert R. 1 Hoeffding, Wassily 1 Hurwitz, Henry jun. 1 Ingarden, Roman Stanislaw 1 Jackson, Dunham 1 Kahane, Jean-Pierre 1 Kesten, Harry 1 Kiefer, Jack Carl 1 Lancaster, Henry Oliver 1 Lanczos, Cornelius 1 Lax, Peter David 1 Lucacs, E. 1 Luttinger, Joaquin M. 1 Mac Lane, Leslie Saunders 1 Mandelbrojt, Szolem 1 Masani, Pesi Rustom 1 Mazur, Peter 1 McShane, Edward James 1 Mihoc, Gheorghe 1 Murdock, W. L. 1 Olds, C. D. 1 Ornstein, L. S. 1 Ornstein, Leonard Salomon 1 Pittman, E. J. G. 1 Plebanek, Grzegorz 1 Pollard, Harry 1 Root, William L. 1 Rosenblith, W. 1 Santaló, Luis Antonio 1 Siegert, Arnold J. F. ...and 16 more Co-Authors all top 5 Serials 18 Studia Mathematica 17 American Journal of Mathematics 13 Bulletin of the American Mathematical Society 7 Proceedings of the National Academy of Sciences of the United States of America 7 Annals of Mathematical Statistics 6 American Mathematical Monthly 6 Journal of Mathematical Physics 6 Journal of the London Mathematical Society 5 Transactions of the American Mathematical Society 4 Duke Mathematical Journal 3 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 3 Physical Review, II. Series 2 Journal of Statistical Physics 2 Rocky Mountain Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Proceedings of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 IBM Journal of Research and Development 2 Annals of Mathematics. Second Series 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Wiadomości Matematyczne 2 The Carus Mathematical Monographs 2 Encyclopedia of Mathematics and Its Applications 1 Archive for Rational Mechanics and Analysis 1 Physics of Fluids 1 Zastosowania Matematyki 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Publications de l’Institut de Statistique de l’Université de Paris 1 Quarterly of Applied Mathematics 1 Revista. Serie A. Matematica y Fisica Teorica 1 Advances in Applied Mathematics 1 Bulletin de la Classe des Sciences. 5e Série 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Cambridge Philosophical Society 1 Journal of Combinatorial Theory 1 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 1 Proceedings of the London Mathematical Society. Second Series 1 Académie Serbe des Sciences, Publications de l’Institut Mathématique 1 Annales de la Société Polonaise de Mathématique 1 Bulletin de l’Académie Polonaise des Sciences, Classe 3 1 Mathematicians of Our Time 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Journal of Rational Mechanics and Analysis 1 IRE Transactions on Information Theory 1 Mathesis Polska 1 Modern Birkhäuser Classics 1 Dover Books in Science and Mathematics 1 Advances in Mathematics. Supplementary Studies 1 Cambridge Mathematical Library all top 5 Fields 22 Probability theory and stochastic processes (60-XX) 19 History and biography (01-XX) 12 General and overarching topics; collections (00-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Number theory (11-XX) 7 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 4 Measure and integration (28-XX) 4 Operator theory (47-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 3,512 times in 2,936 Documents Cited by ▼ Year ▼ Can one hear the shape of a drum? Zbl 0139.05603Kac, Mark 375 1966 Probability and related topics in physical sciences. With special lectures by G. E. Uhlenbeck, A. R. Hibbs and Balth. van der Pol. Zbl 0087.33003Kac, Mark 167 1959 A stochastic model related to the telegrapher’s equation. Zbl 0314.60052Kac, Mark 164 1974 On the average number of real roots of a random algebraic equation. Zbl 0060.28602Kac, M. 153 1943 Foundations of kinetic theory. Zbl 0072.42802Kac, M. 141 1956 On distributions of certain Wiener functionals. Zbl 0032.03501Kac, M. 134 1949 On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001Kac, M.; van Moerbeke, Pierre 107 1975 The spherical model of a ferromagnet. Zbl 0047.45703Berlin, T. H.; Kac, M. 101 1952 Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605Ford, G.; Kac, M.; Mazur, Peter 100 1965 On the notion of recurrence in discrete stochastic processes. Zbl 0032.41802Kac, M. 97 1947 On the eigen-values of certain Hermitian forms. Zbl 0051.30302Kac, M.; Murdock, W. L.; Szegö, Gábor 95 1953 Random walk and the theory of Brownian motion. Zbl 0031.22604Kac, M. 86 1947 On occupation times for Markoff processes. Zbl 0078.32005Darling, D. A.; Kac, M. 86 1957 Toeplitz matrices, translation kernels and a related problem in probability theory. Zbl 0056.10201Kac, M. 82 1954 The Scottish Book. Mathematics from the Scottish Cafe. Zbl 0485.01013 81 1981 On certain limit theorems of the theory of probability. Zbl 0063.01274Erdős, Pál; Kac, M. 72 1946 On the van der Waals theory of the vapor-liquid equilibrium. I: Discussion of a one-dimensional model. Zbl 0938.82517Kac, M.; Uhlenbeck, G. E.; Hemmer, P. C. 69 1963 Selected papers on noise and stochastic processes. Zbl 0059.11903Wax, N.; Doob, Joseph L.; Chandrasekhar, S.; Rice, S. O.; Uhlenbeck, G. E.; Kac, M.; Ornstein, L. S. 64 1954 On the average number of real roots of a random algebraic equation. Zbl 0033.14702Kac, M. 53 1948 On some connections between probability theory and differential and integral equations. Zbl 0045.07002Kac, M. 53 1951 On tests of normality and other tests of goodness of fit based on distance methods. Zbl 0066.12301Kac, M.; Kiefer, J.; Wolfowitz, Jacob 53 1955 On the distribution of values of sums of the type \(\sum f(2^kt)\). Zbl 0063.03091Kac, M. 51 1946 The Gaussian law of errors in the theory of additive number theoretic functions. JFM 66.0172.02Erdős, P.; Kac, M. 51 1940 The conceptual foundations of the statistical approach in mechanics. Translated from the German by Michael J. Moravcsik. With a foreword by M. Kac and G. E. Uhlenbeck. Zbl 0090.45102Ehrenfest, Paul; Ehrenfest, Tatiana 49 1959 Statistical independence in probability, analysis and number theory. Zbl 0088.10303Kac, Mark 48 1959 Probabilistic methods in some problems of scattering theory. Zbl 0314.47006Kac, M. 47 1974 A combinatorial solution of the two-dimensional Ising model. Zbl 0048.45804Kac, M.; Ward, J. C. 46 1952 An explicit representation of a stationary Gaussian process. Zbl 0033.38501Kac, M.; Siegert, A. J. F. 45 1947 On some periodic Toda lattices. Zbl 0343.34003Kac, M.; van Moerbeke, Pierre 38 1975 Probability methods in some problems of analysis and number theory. Zbl 0036.30502Kac, M. 38 1949 Integral geometry and geometric probability. With a foreword by Mark Kac. 2nd ed. Zbl 1116.53050Santaló, Luis 37 2004 A complete solution of the periodic Toda problem. Zbl 0343.34004Kac, M.; van Moerbeke, Pierre 34 1975 On the number of positive sums of independent random variables. Zbl 0032.03502Erdős, Pál; Kac, M. 31 1947 On the partition function of a one-dimensional gas. Zbl 0085.44603Kac, Mark 31 1959 The Gaussian law of errors in the theory of additive number-theoretic functions. Zbl 0024.10203Erdős, Pál; Kac, M. 30 1940 On deviations between theoretical and empirical distributions. Zbl 0033.19303Kac, M. 30 1949 Inequalities for Fourier transforms of positive functions. Zbl 0060.25602Boas, R. P. jun.; Kac, M. 28 1945 On the quantum Langevin equation. Zbl 0682.60069Ford, G. W.; Kac, M. 27 1987 The theory of information and coding. A mathematical framework for communication. With a foreword by Mark Kac. Zbl 0376.94011McEliece, Robert J. 25 1977 Integration in function spaces and some of its applications. Zbl 0504.28015Kac, M. 23 1980 Large excursions of Gaussian processes. Zbl 0089.34101Kac, Mark; Slepian, David 22 1959 A gap theorem. Zbl 0032.27402Kac, M.; Salem, R.; Zygmund, Antoni 18 1948 Study of several lattice systems with long-range forces. Zbl 0125.25902Kac, M.; Helfand, E. 15 1963 On the Gaussian law of errors in the theory of additive functions. JFM 65.0164.02Erdös, P.; Kac, M. 15 1939 On the average of a certain Wiener functional and a related limit theorem in calculus of probability. Zbl 0063.03092Kac, M. 14 1946 On the van der Waals theory of the vapor-liquid equilibrium. III: Discussion of the critical region. Zbl 0938.82519Hemmer, P. C.; Kac, M.; Uhlenbeck, G. E. 14 1964 The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039Mauldin, R. Daniel 14 2015 The distribution of the maximum of partial sums of independent random variables. Zbl 0038.08601Kac, Mark; Pollard, Harry 13 1950 Random walk in the presence of absorbing barriers. Zbl 0060.29101Kac, M. 13 1945 Enigmas of chance. An autobiography. Zbl 0604.01008Kac, Mark 12 1985 On the van der Waals theory of the vapor-liquid equilibrium. II: Discussion of the distribution functions. Zbl 0938.82518Uhlenbeck, G. E.; Hemmer, P. C.; Kac, M. 12 1963 A correction to ’On the average number of real roots of a random algebraic equation’. Zbl 0060.28603Kac, M. 11 1943 Wiener and integration in function spaces. Zbl 0131.00511Kac, M. 11 1966 Critical behavior of several lattice models with long-range interaction. Zbl 1306.82004Kac, Mark; Thompson, Colin J. 10 1969 Propagation of chaos and the Burgers equation. Zbl 0554.35104Gutkin, E.; Kac, M. 10 1983 On a characterization of the normal distribution. Zbl 0022.06102Kac, M. 10 1939 Probability, number theory, and statistical physics. Selected papers. Ed. by K. Baclawski and M. D. Donsker. Zbl 0438.01011Kac, Mark 10 1979 Sur les fonctions indépendantes. I. JFM 62.0273.01Kac, M. 10 1936 Scattering length and capacity. Zbl 0303.28011Kac, M.; Luttinger, J. M. 9 1975 Probability in classical physics. Zbl 0080.19701Kac, Mark 9 1957 An elementary queueing problem. Zbl 0114.09203Boudreau, P. E.; Griffin, J. S. jun.; Kac, M. 9 1962 Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503Chung, K. L.; Kac, M. 7 1951 On the distribution of values of trigonometric sums with linearly independent frequencies. Zbl 0061.13710Kac, M. 7 1943 On the mathematical mechanism of phase transition. Zbl 0129.23102Kac, M.; Thompson, C. J. 7 1966 On the Gaussian law of errors in the theory of additive functions. Zbl 0021.20702Erdős, Pál; Kac, M. 6 1939 Some remarks on the use of probability in classical statistical mechanics. Zbl 0072.42903Kac, M. 6 1956 Distribution of eigenvalues of certain integral operators. Zbl 0074.31601Kac, M. 6 1956 A note on learning signal detection. Zbl 0099.34506Kac, M. 6 1962 The making of statisticians. Zbl 0489.62002 6 1982 A remark on Wiener’s Tauberian theorem. Zbl 0136.33001Kac, M. 5 1965 On some probabilistic aspects of classical analysis. Zbl 0208.13704Kac, M. 5 1970 Note on power series with big gaps. Zbl 0020.37603Kac, M. 5 1939 Convergence of certain gap series. Zbl 0061.13402Kac, M. 5 1943 Note on the distribution of values of the arithmetic function d(m). Zbl 0063.03090Kac, M. 5 1941 Some remarks on stable processes. Zbl 0082.13001Kac, M. 5 1957 Statistical independence in probability analysis and number theory. Translation from the English by Yu.V.Prokhorov. Zbl 0112.09101Kac, M. 5 1963 On a characterization of the normal distribution. JFM 65.0569.01Kac, M. 5 1939 On some isospectral second order differential operators. Zbl 0294.34012Kac, Mark; van Moerbeke, Pierre 4 1974 Mathematics and logic. Retrospect and prospects. Zbl 0205.28901Kac, M.; Ulam, S. M. 4 1968 Marian Smoluchowski: his life and scientific work. Chronological table and bibliography compiled by Alojzy Burnicki. Edited and with a preface by Roman Stanisław Ingarden. Zbl 0963.01036Chandrasekhar, S.; Kac, M.; Smoluchowski, R. 4 2000 Some probabilistic aspects of scattering theory. Zbl 0318.34033Kac, M.; van Moerbeke, P. 3 1975 Asymptotic behaviour of class of determinants. Zbl 0183.04801Kac, M. 3 1969 Aspects probabilistes de la théorie du potential. Zbl 0216.10205Kac, M. 3 1970 William Feller, in memoriam. Zbl 0251.01010Kac, M. 3 1972 On applying mathematics: reflections and examples. Zbl 0275.00009Kac, M. 3 1972 Une remarque sur les polynômes de M. S. Bernstein. Zbl 0018.20704Kac, M. 3 1938 Signal and noise problems. Zbl 0056.12604Kac, M. 3 1954 Note on the partial sums of the exponential series. Zbl 0061.12908Kac, M. 3 1942 Convergence and divergence of non-harmonic gap series. Zbl 0061.13901Kac, M. 3 1941 Ramanujan sums and almost periodic functions. Zbl 0063.01273Erdős, Pál; Kac, M.; van Kampen, E. R.; Wintner, A. 3 1940 A class of limit theorems. Zbl 0078.31503Kac, M. 3 1957 On a series of cosecants. Zbl 0080.04301Kac, M.; Salem, R. 3 1957 Ramanujan sums and almost periodic functions. JFM 66.0169.02Erdös, P.; Kac, M.; v. Kampen, E. R.; Wintner, A. 3 1940 Ramanujan sums and almost periodic functions. JFM 66.0170.01Kac, M.; van Kampen, E. R.; Wintner, A. 3 1940 Selected papers on noise and stochastic processes. Reprint of the 1954 original. Zbl 1365.01081 3 2017 Four papers on probability. Zbl 1415.60003Chung, Kai Lai; Donsker, M. D.; Erdős, Paul; Fuchs, Wolfgang H. J.; Kac, M. 2 1951 Convergence and divergence of non-harmonic gap series. JFM 67.0229.02Kac, M. 2 1941 Selected papers of Richard von Mises. Vol. I: Geometry, mechanics, analysis. Selected and edited by Ph. Frank, S. Goldstein, M. Kac, W. Prager, G. Szegő and G. Birkhoff. Zbl 0138.24202von Mises, Richard 2 1963 Une remarque sur les équations fonctionnelles. Zbl 0016.24901Kac, M. 2 1937 Sur les fonctions independantes. IV. Intervalle infini. Zbl 0018.07601Kac, M.; Steinhaus, Hugo 2 1938 Selected papers on noise and stochastic processes. Reprint of the 1954 original. Zbl 1365.01081 3 2017 The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039Mauldin, R. Daniel 14 2015 On certain Toeplitz-like matrices and their relation to the problem of lattice vibrations. Zbl 1401.82041Kac, Mark 1 2013 Integral geometry and geometric probability. With a foreword by Mark Kac. 2nd ed. Zbl 1116.53050Santaló, Luis 37 2004 Marian Smoluchowski: his life and scientific work. Chronological table and bibliography compiled by Alojzy Burnicki. Edited and with a preface by Roman Stanisław Ingarden. Zbl 0963.01036Chandrasekhar, S.; Kac, M.; Smoluchowski, R. 4 2000 Discrete thoughts. Essays on mathematics, science, and philosophy. Rev. and correct. ed. with the assistance of Peter Renz. Zbl 0956.00519Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T. 1 1992 A history-dependent random sequence defined by Ulam. Zbl 0685.60018Kac, M. 2 1989 On the quantum Langevin equation. Zbl 0682.60069Ford, G. W.; Kac, M. 27 1987 Discrete thoughts. Essays on mathematics, science, and philosophy. Zbl 0597.00034Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T. 2 1986 Enigmas of chance. An autobiography. Zbl 0604.01008Kac, Mark 12 1985 Propagation of chaos and the Burgers equation. Zbl 0554.35104Gutkin, E.; Kac, M. 10 1983 The making of statisticians. Zbl 0489.62002 6 1982 The Scottish Book. Mathematics from the Scottish Cafe. Zbl 0485.01013 81 1981 Integration in function spaces and some of its applications. Zbl 0504.28015Kac, M. 23 1980 Probability, number theory, and statistical physics. Selected papers. Ed. by K. Baclawski and M. D. Donsker. Zbl 0438.01011Kac, Mark 10 1979 Mathematics and logic. Retrospect and prospects. (Reprint). Zbl 0479.00011Kac, Mark; Ulam, Stanislaw M. 1 1979 Henri Lebesgue and the Polish school of mathematics: observations and recollections. Zbl 0441.01028Kac, M. 2 1978 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 Some mathematical problems in statistical mechanics. Zbl 0404.60100Kac, M. 1 1978 The theory of information and coding. A mathematical framework for communication. With a foreword by Mark Kac. Zbl 0376.94011McEliece, Robert J. 25 1977 On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001Kac, M.; van Moerbeke, Pierre 107 1975 On some periodic Toda lattices. Zbl 0343.34003Kac, M.; van Moerbeke, Pierre 38 1975 A complete solution of the periodic Toda problem. Zbl 0343.34004Kac, M.; van Moerbeke, Pierre 34 1975 Scattering length and capacity. Zbl 0303.28011Kac, M.; Luttinger, J. M. 9 1975 Some probabilistic aspects of scattering theory. Zbl 0318.34033Kac, M.; van Moerbeke, P. 3 1975 A stochastic model related to the telegrapher’s equation. Zbl 0314.60052Kac, Mark 164 1974 Probabilistic methods in some problems of scattering theory. Zbl 0314.47006Kac, M. 47 1974 On some isospectral second order differential operators. Zbl 0294.34012Kac, Mark; van Moerbeke, Pierre 4 1974 Hugo Steinhaus - a reminiscence and a tribute. Zbl 0287.01024Kac, Mark 1 1974 Non-Markovian diffusion in idealized Lorentz gases. Zbl 0261.76059Gates, D. J.; Gerst, I.; Kac, M. 1 1973 William Feller, in memoriam. Zbl 0251.01010Kac, M. 3 1972 On applying mathematics: reflections and examples. Zbl 0275.00009Kac, M. 3 1972 On some probabilistic aspects of classical analysis. Zbl 0208.13704Kac, M. 5 1970 Aspects probabilistes de la théorie du potential. Zbl 0216.10205Kac, M. 3 1970 Critical behavior of several lattice models with long-range interaction. Zbl 1306.82004Kac, Mark; Thompson, Colin J. 10 1969 Asymptotic behaviour of class of determinants. Zbl 0183.04801Kac, M. 3 1969 Some analytic aspects of probabilistic potential theory. Zbl 0225.60034Ciesielski, Z.; Kac, M. 1 1969 Mathematics and logic. Retrospect and prospects. Zbl 0205.28901Kac, M.; Ulam, S. M. 4 1968 Toward a unified view on mathematical theories of phase transitions. Zbl 0162.29301Kac, M. 1 1968 Can one hear the shape of a drum? Zbl 0139.05603Kac, Mark 375 1966 Wiener and integration in function spaces. Zbl 0131.00511Kac, M. 11 1966 On the mathematical mechanism of phase transition. Zbl 0129.23102Kac, M.; Thompson, C. J. 7 1966 On subsets containing a family of non-commensurable subsets of a finite set. Zbl 0144.00502Kac, M. 1 1966 Norbert Wiener 1894–1964. Reprint. Zbl 0209.00101 1 1966 Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605Ford, G.; Kac, M.; Mazur, Peter 100 1965 A remark on Wiener’s Tauberian theorem. Zbl 0136.33001Kac, M. 5 1965 Probability and related topics in physical sciences. Übersetzung aus dem Englischen von R. A. Minlos. Zbl 0133.39803Kats, M. 1 1965 On the van der Waals theory of the vapor-liquid equilibrium. III: Discussion of the critical region. Zbl 0938.82519Hemmer, P. C.; Kac, M.; Uhlenbeck, G. E. 14 1964 On the van der Waals theory of the vapor-liquid equilibrium. I: Discussion of a one-dimensional model. Zbl 0938.82517Kac, M.; Uhlenbeck, G. E.; Hemmer, P. C. 69 1963 Study of several lattice systems with long-range forces. Zbl 0125.25902Kac, M.; Helfand, E. 15 1963 On the van der Waals theory of the vapor-liquid equilibrium. II: Discussion of the distribution functions. Zbl 0938.82518Uhlenbeck, G. E.; Hemmer, P. C.; Kac, M. 12 1963 Statistical independence in probability analysis and number theory. Translation from the English by Yu.V.Prokhorov. Zbl 0112.09101Kac, M. 5 1963 Selected papers of Richard von Mises. Vol. I: Geometry, mechanics, analysis. Selected and edited by Ph. Frank, S. Goldstein, M. Kac, W. Prager, G. Szegő and G. Birkhoff. Zbl 0138.24202von Mises, Richard 2 1963 An elementary queueing problem. Zbl 0114.09203Boudreau, P. E.; Griffin, J. S. jun.; Kac, M. 9 1962 A note on learning signal detection. Zbl 0099.34506Kac, M. 6 1962 A discrete queueing problem with variable service times. Zbl 0111.15103Boudreau, P. E.; Griffin, J. S. jun.; Kac, M. 1 1962 Probability and related topics in physical sciences. With special lectures by G. E. Uhlenbeck, A. R. Hibbs and Balth. van der Pol. Zbl 0087.33003Kac, Mark 167 1959 The conceptual foundations of the statistical approach in mechanics. Translated from the German by Michael J. Moravcsik. With a foreword by M. Kac and G. E. Uhlenbeck. Zbl 0090.45102Ehrenfest, Paul; Ehrenfest, Tatiana 49 1959 Statistical independence in probability, analysis and number theory. Zbl 0088.10303Kac, Mark 48 1959 On the partition function of a one-dimensional gas. Zbl 0085.44603Kac, Mark 31 1959 Large excursions of Gaussian processes. Zbl 0089.34101Kac, Mark; Slepian, David 22 1959 Some remarks on stable processes with independent increments. Zbl 0201.49801Kac, M. 1 1959 Remark on recurrence times. Zbl 0087.42005Kac, M. 1 1959 On rapidly mixing transformations and an application to continued fractions. Zbl 0089.11101Kac, M.; Kesten, Harry 1 1958 On occupation times for Markoff processes. Zbl 0078.32005Darling, D. A.; Kac, M. 86 1957 Probability in classical physics. Zbl 0080.19701Kac, Mark 9 1957 Some remarks on stable processes. Zbl 0082.13001Kac, M. 5 1957 A class of limit theorems. Zbl 0078.31503Kac, M. 3 1957 On a series of cosecants. Zbl 0080.04301Kac, M.; Salem, R. 3 1957 Uniform distribution on a sphere. Zbl 0078.31402Kac, M. 1 1957 Foundations of kinetic theory. Zbl 0072.42802Kac, M. 141 1956 Some remarks on the use of probability in classical statistical mechanics. Zbl 0072.42903Kac, M. 6 1956 Distribution of eigenvalues of certain integral operators. Zbl 0074.31601Kac, M. 6 1956 On tests of normality and other tests of goodness of fit based on distance methods. Zbl 0066.12301Kac, M.; Kiefer, J.; Wolfowitz, Jacob 53 1955 A remark on the preceding paper by A. Rényi. Zbl 0066.03301Kac, M. 2 1955 Toeplitz matrices, translation kernels and a related problem in probability theory. Zbl 0056.10201Kac, M. 82 1954 Selected papers on noise and stochastic processes. Zbl 0059.11903Wax, N.; Doob, Joseph L.; Chandrasekhar, S.; Rice, S. O.; Uhlenbeck, G. E.; Kac, M.; Ornstein, L. S. 64 1954 Signal and noise problems. Zbl 0056.12604Kac, M. 3 1954 On the eigen-values of certain Hermitian forms. Zbl 0051.30302Kac, M.; Murdock, W. L.; Szegö, Gábor 95 1953 Corrections to the paper “Remarks on fluctuations of sums of independent random variables”. Zbl 0050.35304Chung, K. L.; Kac, M. 1 1953 The spherical model of a ferromagnet. Zbl 0047.45703Berlin, T. H.; Kac, M. 101 1952 A combinatorial solution of the two-dimensional Ising model. Zbl 0048.45804Kac, M.; Ward, J. C. 46 1952 An application of probability theory to the study of Laplace’s equation. Zbl 0048.34001Kac, M. 1 1952 On some connections between probability theory and differential and integral equations. Zbl 0045.07002Kac, M. 53 1951 Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503Chung, K. L.; Kac, M. 7 1951 Four papers on probability. Zbl 1415.60003Chung, Kai Lai; Donsker, M. D.; Erdős, Paul; Fuchs, Wolfgang H. J.; Kac, M. 2 1951 The distribution of the maximum of partial sums of independent random variables. Zbl 0038.08601Kac, Mark; Pollard, Harry 13 1950 On distributions of certain Wiener functionals. Zbl 0032.03501Kac, M. 134 1949 Probability methods in some problems of analysis and number theory. Zbl 0036.30502Kac, M. 38 1949 On deviations between theoretical and empirical distributions. Zbl 0033.19303Kac, M. 30 1949 On the average number of real roots of a random algebraic equation. Zbl 0033.14702Kac, M. 53 1948 A gap theorem. Zbl 0032.27402Kac, M.; Salem, R.; Zygmund, Antoni 18 1948 On the notion of recurrence in discrete stochastic processes. Zbl 0032.41802Kac, M. 97 1947 Random walk and the theory of Brownian motion. Zbl 0031.22604Kac, M. 86 1947 An explicit representation of a stationary Gaussian process. Zbl 0033.38501Kac, M.; Siegert, A. J. F. 45 1947 On the number of positive sums of independent random variables. Zbl 0032.03502Erdős, Pál; Kac, M. 31 1947 On certain limit theorems of the theory of probability. Zbl 0063.01274Erdős, Pál; Kac, M. 72 1946 On the distribution of values of sums of the type \(\sum f(2^kt)\). Zbl 0063.03091Kac, M. 51 1946 On the average of a certain Wiener functional and a related limit theorem in calculus of probability. Zbl 0063.03092Kac, M. 14 1946 Inequalities for Fourier transforms of positive functions. Zbl 0060.25602Boas, R. P. jun.; Kac, M. 28 1945 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,665 Authors 31 Zayed, Elsayed M. E. 26 Farahmand, Kambiz 18 Berkes, István 17 Borodin, Andreĭ Nikolaevich 16 Aistleitner, Christoph 14 Kac, Mark 14 Ratanov, Nikita 12 Serra-Capizzano, Stefano 12 Widom, Harold 11 Carlen, Eric Anders 11 Presutti, Errico 10 Böttcher, Albrecht 10 Csörgő, Miklós 10 Di Crescenzo, Antonio 10 Grudsky, Sergei Mikhailovich 9 Fukuyama, Katusi 9 Gabetta, Ester 9 Kesten, Harry 9 Majumdar, Satya N. 9 Toscani, Giuseppe 8 Aaronson, Jon 8 Deng, Weihua 8 Dym, Harry 8 Elliott, Peter D. T. A. 8 Lapidus, Michel L. 8 Martinucci, Barbara 8 Ord, Garnet N. 8 Orsingher, Enzo 8 Ozawa, Shin 8 Regazzini, Eugenio 8 Rowlett, Julie 8 Sakhnovich, Alexander L. 8 Spitzer, Frank L. 8 Vulpiani, Angelo 7 Albeverio, Sergio A. 7 Bardina, Xavier 7 Damianou, Pantelis Andrea 7 Kaloshin, Vadim Yu. 7 Kolesnik, Alexander D. 7 Simon, Barry 7 van den Berg, Michiel 7 van Moerbeke, Pierre 6 Baxter, Glen Earl 6 Bingham, Nicholas Hugh 6 Carvalho, Maria Conceição 6 Cassandro, Marzio 6 Chen, Xia 6 Gordon, Carolyn S. 6 Hillen, Thomas 6 Kiessling, Michael Karl-Heinz 6 Lindgren, Georg 6 Lis, Marcin 6 Mischler, Stéphane 6 Schehr, Grégory 6 Takahashi, Shigeru 6 Tichy, Robert Franz 6 van Enter, Aernout C. D. 6 Wang, Wei 6 Webb, David L. 6 Wennberg, Bernt 5 Bodineau, Thierry 5 Bogoya, Johan M. 5 Chattopadhyay, Sudip Kumar 5 Chaudhuri, Jyotipratim Ray 5 Csáki, Endre 5 da Fonseca, Carlos Martins 5 Deheuvels, Paul 5 Denker, Manfred 5 Erdős, Pál 5 Fisher, Michael E. 5 Gaveau, Bernard 5 Goovaerts, Marc J. 5 Gutkin, Eugene 5 Hafayed, Mokhtar 5 Hermi, Lotfi 5 Hu, Xingbiao 5 Its, Alexander Rudolfovich 5 Khanmamedov, Agil Khanmamed ogly 5 Lacroix, Yves 5 Lebowitz, Joel Louis 5 Maksimenko, Egor A. 5 Parter, Seymour V. 5 Pinasco, Juan Pablo 5 Pogorui, Anatoliy A. 5 Pritsker, Igor E. 5 Shemehsavar, Soudabeh 5 Stroock, Daniel W. 5 Stuart, Andrew M. 5 Sznitman, Alain-Sol 5 Takács, Lajos 5 Vu, Van H. 5 Wagner, Wolfgang 5 Weber, Michel Jean Georges 4 Ablowitz, Mark Jay 4 Aptekarev, Alexander Ivanovich 4 Baldovin, Marco 4 Barkai, Eli 4 Baxter, Rodney J. 4 Branquinho, Amílcar José Pinto Lopes 4 Carmona, René A. ...and 3,565 more Authors all top 5 Cited in 527 Serials 186 Journal of Statistical Physics 104 Journal of Mathematical Physics 84 Transactions of the American Mathematical Society 75 Communications in Mathematical Physics 66 Journal of Mathematical Analysis and Applications 60 Stochastic Processes and their Applications 53 Proceedings of the American Mathematical Society 49 Journal of Statistical Mechanics: Theory and Experiment 41 Linear Algebra and its Applications 40 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 37 Statistics & Probability Letters 36 Journal of Functional Analysis 32 Probability Theory and Related Fields 30 Advances in Mathematics 30 The Annals of Probability 27 Journal of Mathematical Sciences (New York) 25 The Annals of Applied Probability 25 Bulletin of the American Mathematical Society 24 Chaos 24 Physical Review, II. 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Calcul des Probabilités et Statistique 9 Physical Review Letters 9 Proceedings of the Japan Academy 9 Kinetic and Related Models 8 International Journal of Modern Physics A 8 The Annals of Statistics 8 Inventiones Mathematicae 8 Journal of Econometrics 8 Mathematische Annalen 8 Mathematische Zeitschrift 8 Theoretical Computer Science 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of High Energy Physics 8 Journal of Spectral Theory 7 Acta Mathematica Academiae Scientiarum Hungaricae 7 Applicable Analysis 7 Computers & Mathematics with Applications 7 Reviews of Modern Physics 7 Transport Theory and Statistical Physics 7 Ukrainian Mathematical Journal 7 Arkiv för Matematik 7 Bulletin of Mathematical Biology 7 Reviews in Mathematical Physics 7 Applied Mathematics and Optimization 7 Journal of Differential Equations 7 Journal of Mathematical Psychology 7 Journal of Statistical Planning and Inference 7 Rendiconti del Seminario Matemàtico e Fisico di Milano ...and 427 more Serials all top 5 Cited in 63 Fields 1,104 Probability theory and stochastic processes (60-XX) 538 Statistical mechanics, structure of matter (82-XX) 487 Partial differential equations (35-XX) 265 Dynamical systems and ergodic theory (37-XX) 229 Quantum theory (81-XX) 192 Number theory (11-XX) 191 Statistics (62-XX) 174 Numerical analysis (65-XX) 169 Operator theory (47-XX) 152 Global analysis, analysis on manifolds (58-XX) 102 Linear and multilinear algebra; matrix theory (15-XX) 100 Ordinary differential equations (34-XX) 90 Harmonic analysis on Euclidean spaces (42-XX) 80 Fluid mechanics (76-XX) 78 Combinatorics (05-XX) 76 Measure and integration (28-XX) 73 Biology and other natural sciences (92-XX) 72 Real functions (26-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Functions of a complex variable (30-XX) 61 Systems theory; control (93-XX) 54 Special functions (33-XX) 54 Differential geometry (53-XX) 46 Computer science (68-XX) 44 Information and communication theory, circuits (94-XX) 43 Functional analysis (46-XX) 42 Integral equations (45-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 38 Algebraic geometry (14-XX) 37 Mechanics of particles and systems (70-XX) 36 Approximations and expansions (41-XX) 34 History and biography (01-XX) 31 Difference and functional equations (39-XX) 30 Relativity and gravitational theory (83-XX) 29 Several complex variables and analytic spaces (32-XX) 24 Operations research, mathematical programming (90-XX) 23 Mechanics of deformable solids (74-XX) 20 Potential theory (31-XX) 19 General and overarching topics; collections (00-XX) 19 Group theory and generalizations (20-XX) 19 Topological groups, Lie groups (22-XX) 16 Convex and discrete geometry (52-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Manifolds and cell complexes (57-XX) 13 Abstract harmonic analysis (43-XX) 12 Nonassociative rings and algebras (17-XX) 11 Field theory and polynomials (12-XX) 11 Integral transforms, operational calculus (44-XX) 10 Geometry (51-XX) 10 Optics, electromagnetic theory (78-XX) 9 Geophysics (86-XX) 6 Mathematical logic and foundations (03-XX) 6 Sequences, series, summability (40-XX) 6 General topology (54-XX) 5 Algebraic topology (55-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 \(K\)-theory (19-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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