Edit Profile Kac, Mark Compute Distance To: Compute Author ID: kac.mark Published as: Kac, M.; Kac, Marc; Kac, Mark; Kats, M. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor Documents Indexed: 176 Publications since 1933, including 22 Books Biographic References: 11 Publications all top 5 Co-Authors 104 single-authored 10 Van Kampen, Egbert Rudolf 9 Erdős, Pál 8 Wintner, Aurel 6 Steinhaus, Hugo 5 van Moerbeke, Pierre 4 Uhlenbeck, George Eugene 4 Ulam, Stanisław Marcin 3 Boudreau, P. E. 3 Chung, Kai Lai 3 Hemmer, Per C. 3 Rota, Gian-Carlo 3 Schwartz, Jacob Theodore 2 Agnew, Ralph Palmer 2 Chandrasekhar, Subrahmanyan 2 Ford, G. W. 2 Griffin, John S. jun. 2 Salem, Raphael 2 Thompson, Colin J. 1 Berlin, T. H. 1 Boas, Ralph Philip jun. 1 Ciesielski, Zbigniew 1 Darling, Donald A. 1 Donsker, Monroe D. 1 Doob, Joseph Leonard 1 Fuchs, Wolfgang H. J. 1 Gates, David J. 1 Gaveau, Bernard 1 Gerst, Irving 1 Gohberg, Israel 1 Gutkin, Eugene 1 Helfand, Eugene 1 Hurwitz, Henry jun. 1 Kesten, Harry 1 Kiefer, Jack Carl 1 Luttinger, Joaquin M. 1 Mazur, Peter 1 Murdock, W. L. 1 Ornstein, Leonard Salomon 1 Pollard, Harry 1 Rice, Stephen O. 1 Siegert, Arnold J. F. 1 Slepian, David 1 Smoluchowski, Roman 1 Szegő, Gábor 1 Ward, John C. 1 Wax, Nelson 1 Wergeland, Harald 1 Wolfowitz, Jacob 1 Zygmund, Antoni 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 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 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 all top 5 Fields 18 Probability theory and stochastic processes (60-XX) 12 History and biography (01-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 General and overarching topics; collections (00-XX) 9 Number theory (11-XX) 7 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-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 132 Publications have been cited 3,246 times in 2,859 Documents Cited by ▼ Year ▼ Can one hear the shape of a drum? Zbl 0139.05603Kac, Mark 345 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 204 1959 A stochastic model related to the telegrapher’s equation. Zbl 0314.60052Kac, Mark 145 1974 On the average number of real roots of a random algebraic equation. Zbl 0060.28602Kac, M. 140 1943 On distributions of certain Wiener functionals. Zbl 0032.03501Kac, M. 126 1949 Foundations of kinetic theory. Zbl 0072.42802Kac, M. 115 1956 The spherical model of a ferromagnet. Zbl 0047.45703Berlin, T. H.; Kac, M. 101 1952 On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001Kac, M.; van Moerbeke, Pierre 100 1975 Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605Ford, G.; Kac, M.; Mazur, Peter 97 1965 On the notion of recurrence in discrete stochastic processes. Zbl 0032.41802Kac, M. 93 1947 On the eigen-values of certain Hermitian forms. Zbl 0051.30302Kac, M.; Murdock, W. L.; Szegö, Gábor 92 1953 On occupation times for Markoff processes. Zbl 0078.32005Darling, D. A.; Kac, M. 81 1957 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. 81 1954 Random walk and the theory of Brownian motion. Zbl 0031.22604Kac, M. 81 1947 Toeplitz matrices, translation kernels and a related problem in probability theory. Zbl 0056.10201Kac, M. 79 1954 On some connections between probability theory and differential and integral equations. Zbl 0045.07002Kac, M. 75 1951 On certain limit theorems of the theory of probability. Zbl 0063.01274Erdős, Pál; Kac, M. 70 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. 67 1963 Statistical independence in probability, analysis and number theory. Zbl 0088.10303Kac, Mark 56 1959 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 Probabilistic methods in some problems of scattering theory. Zbl 0314.47006Kac, M. 47 1974 On the average number of real roots of a random algebraic equation. Zbl 0033.14702Kac, M. 47 1948 A combinatorial solution of the two-dimensional Ising model. Zbl 0048.45804Kac, M.; Ward, J. C. 46 1952 The Gaussian law of errors in the theory of additive number theoretic functions. JFM 66.0172.02Erdős, P.; Kac, M. 46 1940 An explicit representation of a stationary Gaussian process. Zbl 0033.38501Kac, M.; Siegert, A. J. F. 43 1947 Probability methods in some problems of analysis and number theory. Zbl 0036.30502Kac, M. 38 1949 On some periodic Toda lattices. Zbl 0343.34003Kac, M.; van Moerbeke, Pierre 36 1975 A complete solution of the periodic Toda problem. Zbl 0343.34004Kac, M.; van Moerbeke, Pierre 32 1975 On the partition function of a one-dimensional gas. Zbl 0085.44603Kac, Mark 30 1959 On deviations between theoretical and empirical distributions. Zbl 0033.19303Kac, M. 30 1949 On the number of positive sums of independent random variables. Zbl 0032.03502Erdős, Pál; Kac, M. 30 1947 The Gaussian law of errors in the theory of additive number-theoretic functions. Zbl 0024.10203Erdős, Pál; Kac, M. 30 1940 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. 26 1987 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 22 1979 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 Probability in classical physics. Zbl 0080.19701Kac, Mark 16 1957 On the average of a certain Wiener functional and a related limit theorem in calculus of probability. Zbl 0063.03092Kac, M. 14 1946 Study of several lattice systems with long-range forces. Zbl 0125.25902Kac, M.; Helfand, E. 13 1963 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 On the Gaussian law of errors in the theory of additive functions. JFM 65.0164.02Erdös, P.; Kac, M. 13 1939 Enigmas of chance. An autobiography. Zbl 0604.01008Kac, Mark 12 1985 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. 12 1964 Wiener and integration in function spaces. Zbl 0131.00511Kac, M. 11 1966 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. 11 1963 A correction to ’On the average number of real roots of a random algebraic equation’. Zbl 0060.28603Kac, M. 11 1943 Propagation of chaos and the Burgers equation. Zbl 0554.35104Gutkin, E.; Kac, M. 10 1983 Scattering length and capacity. Zbl 0303.28011Kac, M.; Luttinger, J. M. 9 1975 An elementary queueing problem. Zbl 0114.09203Boudreau, P. E.; Griffin, J. S. jun.; Kac, M. 9 1962 On a characterization of the normal distribution. Zbl 0022.06102Kac, M. 9 1939 Sur les fonctions indépendantes. I. JFM 62.0273.01Kac, M. 9 1936 Critical behavior of several lattice models with long-range interaction. Zbl 1306.82004Kac, Mark; Thompson, Colin J. 8 1969 On a characterization of the normal distribution. JFM 65.0569.01Kac, M. 8 1939 On the mathematical mechanism of phase transition. Zbl 0129.23102Kac, M.; Thompson, C. J. 7 1966 Some remarks on the use of probability in classical statistical mechanics. Zbl 0072.42903Kac, M. 7 1956 On the distribution of values of trigonometric sums with linearly independent frequencies. Zbl 0061.13710Kac, M. 7 1943 On the Gaussian law of errors in the theory of additive functions. Zbl 0021.20702Erdős, Pál; Kac, M. 7 1939 A note on learning signal detection. Zbl 0099.34506Kac, M. 6 1962 Distribution of eigenvalues of certain integral operators. Zbl 0074.31601Kac, M. 6 1956 On some isospectral second order differential operators. Zbl 0294.34012Kac, Mark; van Moerbeke, Pierre 5 1974 On some probabilistic aspects of classical analysis. Zbl 0208.13704Kac, M. 5 1970 Mathematics and logic. Retrospect and prospects. Zbl 0205.28901Kac, M.; Ulam, S. M. 5 1968 A remark on Wiener’s Tauberian theorem. Zbl 0136.33001Kac, M. 5 1965 Statistical independence in probability analysis and number theory. Translation from the English by Yu.V.Prokhorov. Zbl 0112.09101Kac, M. 5 1963 Some remarks on stable processes. Zbl 0082.13001Kac, M. 5 1957 Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503Chung, K. L.; Kac, M. 5 1951 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 Note on power series with big gaps. Zbl 0020.37603Kac, M. 5 1939 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 Henri Lebesgue and the Polish school of mathematics: observations and recollections. Zbl 0441.01028Kac, M. 4 1978 Some probabilistic aspects of scattering theory. Zbl 0318.34033Kac, M.; van Moerbeke, P. 3 1975 William Feller, in memoriam. Zbl 0251.01010Kac, M. 3 1972 Aspects probabilistes de la théorie du potential. Zbl 0216.10205Kac, M. 3 1970 Asymptotic behaviour of class of determinants. Zbl 0183.04801Kac, M. 3 1969 A class of limit theorems. Zbl 0078.31503Kac, M. 3 1957 A remark on the preceding paper by A. Rényi. Zbl 0066.03301Kac, M. 3 1955 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 Almost periodicity and the representation of integers as sums of squares. Zbl 0023.00904Kac, M. 3 1940 Ramanujan sums and almost periodic functions. JFM 66.0170.01Kac, M.; van Kampen, E. R.; Wintner, A. 3 1940 Ramanujan sums and almost periodic functions. JFM 66.0169.02Erdös, P.; Kac, M.; v. Kampen, E. R.; Wintner, A. 3 1940 Une remarque sur les polynômes de M. S. Bernstein. Zbl 0018.20704Kac, M. 3 1938 Discrete thoughts. Essays on mathematics, science, and philosophy. Zbl 0597.00034Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T. 2 1986 On applying mathematics: reflections and examples. Zbl 0275.00009Kac, M. 2 1972 Some analytic aspects of probabilistic potential theory. Zbl 0225.60034Ciesielski, Z.; Kac, M. 2 1969 On subsets containing a family of non-commensurable subsets of a finite set. Zbl 0144.00502Kac, M. 2 1966 On a series of cosecants. Zbl 0080.04301Kac, M.; Salem, R. 2 1957 An application of probability theory to the study of Laplace’s equation. Zbl 0048.34001Kac, M. 2 1952 Statistical analysis of certain types of random functions. Zbl 0063.02945Hurwitz, H. jun.; Kac, M. 2 1944 Convergence and divergence of non-harmonic gap series. JFM 67.0229.02Kac, M. 2 1941 Almost periodicity and the representation of integers as sums of squares. JFM 66.0151.04Kac, M. 2 1940 Reconnaissance de priorité relative à ma note “Une remarque sur les polynomes de M. S. Bernstein”. JFM 65.0248.03Kac, M. 2 1939 Sur les fonctions independantes. V. Zbl 0018.07602Kac, M. 2 1938 On certain Toeplitz-like matrices and their relation to the problem of lattice vibrations. Zbl 1401.82041Kac, Mark 1 2013 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. 1 1989 On the quantum Langevin equation. Zbl 0682.60069Ford, G. W.; Kac, M. 26 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 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 22 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. 4 1978 Some mathematical problems in statistical mechanics. Zbl 0404.60100Kac, M. 1 1978 On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001Kac, M.; van Moerbeke, Pierre 100 1975 On some periodic Toda lattices. Zbl 0343.34003Kac, M.; van Moerbeke, Pierre 36 1975 A complete solution of the periodic Toda problem. Zbl 0343.34004Kac, M.; van Moerbeke, Pierre 32 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 145 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 5 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. 2 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. 8 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. 2 1969 Mathematics and logic. Retrospect and prospects. Zbl 0205.28901Kac, M.; Ulam, S. M. 5 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 345 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. 2 1966 Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605Ford, G.; Kac, M.; Mazur, Peter 97 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. 12 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. 67 1963 Study of several lattice systems with long-range forces. Zbl 0125.25902Kac, M.; Helfand, E. 13 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. 11 1963 Statistical independence in probability analysis and number theory. Translation from the English by Yu.V.Prokhorov. Zbl 0112.09101Kac, M. 5 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 204 1959 Statistical independence in probability, analysis and number theory. Zbl 0088.10303Kac, Mark 56 1959 On the partition function of a one-dimensional gas. Zbl 0085.44603Kac, Mark 30 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. 81 1957 Probability in classical physics. Zbl 0080.19701Kac, Mark 16 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. 2 1957 Uniform distribution on a sphere. Zbl 0078.31402Kac, M. 1 1957 Foundations of kinetic theory. Zbl 0072.42802Kac, M. 115 1956 Some remarks on the use of probability in classical statistical mechanics. Zbl 0072.42903Kac, M. 7 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. 3 1955 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. 81 1954 Toeplitz matrices, translation kernels and a related problem in probability theory. Zbl 0056.10201Kac, M. 79 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 92 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. 2 1952 On some connections between probability theory and differential and integral equations. Zbl 0045.07002Kac, M. 75 1951 Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503Chung, K. L.; Kac, M. 5 1951 Four papers on probability. Zbl 1415.60003Chung, Kai Lai; Donsker, M. D.; Erdős, Paul; Fuchs, Wolfgang H. J.; Kac, M. 1 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. 126 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. 47 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. 93 1947 Random walk and the theory of Brownian motion. Zbl 0031.22604Kac, M. 81 1947 An explicit representation of a stationary Gaussian process. Zbl 0033.38501Kac, M.; Siegert, A. J. F. 43 1947 On the number of positive sums of independent random variables. Zbl 0032.03502Erdős, Pál; Kac, M. 30 1947 On certain limit theorems of the theory of probability. Zbl 0063.01274Erdős, Pál; Kac, M. 70 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 Random walk in the presence of absorbing barriers. Zbl 0060.29101Kac, M. 13 1945 A remark on independence and quadratic forms involving independent Gaussian variables. Zbl 0060.28601Kac, M. 1 1945 Statistical analysis of certain types of random functions. Zbl 0063.02945Hurwitz, H. jun.; Kac, M. 2 1944 On the average number of real roots of a random algebraic equation. Zbl 0060.28602Kac, M. 140 1943 A correction to ’On the average number of real roots of a random algebraic equation’. Zbl 0060.28603Kac, M. 11 1943 On the distribution of values of trigonometric sums with linearly independent frequencies. Zbl 0061.13710Kac, M. 7 1943 Convergence of certain gap series. Zbl 0061.13402Kac, M. 5 1943 Note on the partial sums of the exponential series. Zbl 0061.12908Kac, M. 3 1942 Note on the distribution of values of the arithmetic function d(m). Zbl 0063.03090Kac, M. 5 1941 Convergence and divergence of non-harmonic gap series. Zbl 0061.13901Kac, M. 3 1941 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,675 Authors 31 Zayed, Elsayed M. E. 26 Farahmand, Kambiz 18 Berkes, István 16 Aistleitner, Christoph 16 Borodin, Andreĭ Nikolaevich 14 Kac, Mark 12 Ratanov, Nikita 12 Widom, Harold 11 Carlen, Eric Anders 11 Presutti, Errico 11 Serra-Capizzano, Stefano 11 Toscani, Giuseppe 10 Böttcher, Albrecht 10 Csörgő, Miklós 9 Fukuyama, Katusi 9 Gabetta, Ester 9 Grudsky, Sergei Mikhailovich 9 Kesten, Harry 9 Ord, Garnet N. 9 Sakhnovich, Alexander L. 8 Aaronson, Jon 8 Di Crescenzo, Antonio 8 Dym, Harry 8 Elliott, Peter D. T. A. 8 Lapidus, Michel L. 8 Orsingher, Enzo 8 Ozawa, Shin 8 Regazzini, Eugenio 8 Spitzer, Frank L. 7 Albeverio, Sergio A. 7 Bardina, Xavier 7 Damianou, Pantelis Andrea 7 Deng, Weihua 7 Kolesnik, Alexander D. 7 Mischler, Stéphane 7 Simon, Barry 7 van den Berg, Michiel 7 van Moerbeke, Pierre 7 Vulpiani, Angelo 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 Kaloshin, Vadim Yu. 6 Kiessling, Michael Karl-Heinz 6 Lindgren, Georg 6 Lis, Marcin 6 Majumdar, Satya N. 6 Martinucci, Barbara 6 Percus, Jerome K. 6 Rowlett, Julie 6 Takahashi, Shigeru 6 Tichy, Robert Franz 6 Wagner, Wolfgang 6 Wennberg, Bernt 5 Bodineau, Thierry 5 Bogoya, Johan M. 5 Carmona, René A. 5 Chattopadhyay, Sudip Kumar 5 Chaudhuri, Jyotipratim Ray 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 Hermi, Lotfi 5 Hu, Xingbiao 5 Its, Alexander Rudolfovich 5 Khanmamedov, Agil Khanmamed ogly 5 Lacroix, Yves 5 Lebowitz, Joel Louis 5 Loss, Michael 5 Maksimenko, Egor A. 5 Nikitin, Yakov Yu. 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 van Enter, Aernout C. D. 5 Wang, Wei 5 Webb, David L. 5 Weber, Michel Jean Georges 4 Ablowitz, Mark Jay 4 Aptekarev, Alexander Ivanovich 4 Bassetti, Federico 4 Baxter, Rodney J. 4 Bourget, Alain 4 Branquinho, Amílcar José Pinto Lopes 4 Chang, Xiangke ...and 3,575 more Authors all top 5 Cited in 500 Serials 182 Journal of Statistical Physics 103 Journal of Mathematical Physics 81 Transactions of the American Mathematical Society 74 Communications in Mathematical Physics 64 Journal of Mathematical Analysis and Applications 63 Stochastic Processes and their Applications 54 Proceedings of the American Mathematical Society 46 Journal of Statistical Mechanics: Theory and Experiment 41 Journal of Functional Analysis 40 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 39 Linear Algebra and its Applications 35 Statistics & Probability Letters 30 Advances in Mathematics 30 The Annals of Probability 30 Probability Theory and Related Fields 25 Journal of Mathematical Sciences (New York) 25 Bulletin of the American Mathematical Society 24 Physical Review, II. Series 23 Physica A 23 Chaos, Solitons and Fractals 23 The Annals of Applied Probability 22 Journal of Computational Physics 22 Journal of Soviet Mathematics 22 Journal of Theoretical Probability 22 Chaos 21 Israel Journal of Mathematics 20 Theoretical and Mathematical Physics 20 Journal of Computational and Applied Mathematics 19 Stochastic Analysis and Applications 19 Journal of Physics A: Mathematical and Theoretical 18 Archive for Rational Mechanics and Analysis 18 Journal d’Analyse Mathématique 18 Annales de l’Institut Fourier 18 Communications in Statistics. Theory and Methods 17 International Journal of Theoretical Physics 17 Applied Mathematics and Computation 16 Journal of Multivariate Analysis 16 Physica D 15 Journal of Applied Probability 15 Journal of Number Theory 14 International Journal of Modern Physics B 14 Mathematical Notes 14 Stochastics and Dynamics 13 Nuclear Physics. B 13 Duke Mathematical Journal 13 Annales Henri Poincaré 12 Lithuanian Mathematical Journal 12 Physics Letters. A 12 Acta Mathematica 12 Integral Equations and Operator Theory 12 Proceedings of the Japan Academy. Series A 12 Potential Analysis 11 Journal of Mathematical Biology 11 Monatshefte für Mathematik 10 Letters in Mathematical Physics 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Rocky Mountain Journal of Mathematics 10 Mathematics of Computation 10 Annals of the Institute of Statistical Mathematics 10 Tohoku Mathematical Journal. Second Series 10 Acta Mathematica Hungarica 10 Applied Mathematics Letters 10 Doklady Mathematics 10 Journal of Nonlinear Mathematical Physics 9 Advances in Applied Probability 9 Mathematical Biosciences 9 The Mathematical Intelligencer 9 Journal of Combinatorial Theory. Series A 9 Journal of Econometrics 9 Queueing Systems 9 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 9 Physical Review Letters 9 Proceedings of the Japan Academy 8 International Journal of Modern Physics A 8 Nonlinearity 8 The Annals of Statistics 8 Inventiones Mathematicae 8 Journal of Differential Equations 8 Mathematische Annalen 8 Theoretical Computer Science 8 Ergodic Theory and Dynamical Systems 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Annals of Physics 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of High Energy Physics 7 Acta Mathematica Academiae Scientiarum Hungaricae 7 Computers & Mathematics with Applications 7 Physics Reports 7 Reports on Mathematical Physics 7 Reviews of Modern Physics 7 Transport Theory and Statistical Physics 7 Arkiv för Matematik 7 Bulletin of Mathematical Biology 7 Journal of Approximation Theory 7 Journal of Mathematical Psychology 7 Journal of Statistical Planning and Inference 7 Rendiconti del Seminario Matemàtico e Fisico di Milano 7 Acta Applicandae Mathematicae 7 The Journal of Geometric Analysis 7 Communications in Partial Differential Equations ...and 400 more Serials all top 5 Cited in 63 Fields 1,054 Probability theory and stochastic processes (60-XX) 528 Statistical mechanics, structure of matter (82-XX) 473 Partial differential equations (35-XX) 256 Dynamical systems and ergodic theory (37-XX) 241 Quantum theory (81-XX) 188 Statistics (62-XX) 181 Number theory (11-XX) 174 Numerical analysis (65-XX) 161 Operator theory (47-XX) 140 Global analysis, analysis on manifolds (58-XX) 95 Ordinary differential equations (34-XX) 93 Linear and multilinear algebra; matrix theory (15-XX) 93 Fluid mechanics (76-XX) 92 Harmonic analysis on Euclidean spaces (42-XX) 77 Biology and other natural sciences (92-XX) 76 Measure and integration (28-XX) 70 Combinatorics (05-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 69 Real functions (26-XX) 57 Functions of a complex variable (30-XX) 52 Special functions (33-XX) 51 Systems theory; control (93-XX) 48 Differential geometry (53-XX) 45 Information and communication theory, circuits (94-XX) 42 Functional analysis (46-XX) 42 Computer science (68-XX) 41 Integral equations (45-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 38 Mechanics of particles and systems (70-XX) 36 History and biography (01-XX) 34 Approximations and expansions (41-XX) 32 Algebraic geometry (14-XX) 26 Relativity and gravitational theory (83-XX) 25 Difference and functional equations (39-XX) 23 Several complex variables and analytic spaces (32-XX) 23 Mechanics of deformable solids (74-XX) 23 Operations research, mathematical programming (90-XX) 20 Topological groups, Lie groups (22-XX) 19 Potential theory (31-XX) 18 General and overarching topics; collections (00-XX) 17 Nonassociative rings and algebras (17-XX) 17 Group theory and generalizations (20-XX) 16 Convex and discrete geometry (52-XX) 15 Classical thermodynamics, heat transfer (80-XX) 12 Abstract harmonic analysis (43-XX) 12 Manifolds and cell complexes (57-XX) 11 Field theory and polynomials (12-XX) 11 Optics, electromagnetic theory (78-XX) 9 Geometry (51-XX) 9 Geophysics (86-XX) 8 Integral transforms, operational calculus (44-XX) 7 Mathematical logic and foundations (03-XX) 7 Sequences, series, summability (40-XX) 6 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 3 Astronomy and astrophysics (85-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-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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