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Kac, Mark

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Author ID: kac.mark Recent zbMATH articles by "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

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

Publications by Year

Citations contained in zbMATH

129 Publications have been cited 3,166 times in 2,791 Documents Cited by Year
Can one hear the shape of a drum? Zbl 0139.05603
Kac, Mark
336
1966
Probability and related topics in physical sciences. With special lectures by G. E. Uhlenbeck, A. R. Hibbs and Balth. van der Pol. Zbl 0087.33003
Kac, Mark
204
1959
A stochastic model related to the telegrapher’s equation. Zbl 0314.60052
Kac, Mark
139
1974
On the average number of real roots of a random algebraic equation. Zbl 0060.28602
Kac, M.
138
1943
On distributions of certain Wiener functionals. Zbl 0032.03501
Kac, M.
118
1949
Foundations of kinetic theory. Zbl 0072.42802
Kac, M.
109
1956
On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001
Kac, M.; van Moerbeke, Pierre
100
1975
The spherical model of a ferromagnet. Zbl 0047.45703
Berlin, T. H.; Kac, M.
94
1952
On the notion of recurrence in discrete stochastic processes. Zbl 0032.41802
Kac, M.
93
1947
Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605
Ford, G.; Kac, M.; Mazur, Peter
92
1965
On the eigen-values of certain Hermitian forms. Zbl 0051.30302
Kac, M.; Murdock, W. L.; Szegö, Gábor
91
1953
On occupation times for Markoff processes. Zbl 0078.32005
Darling, D. A.; Kac, M.
80
1957
Selected papers on noise and stochastic processes. Zbl 0059.11903
Wax, N.; Doob, Joseph L.; Chandrasekhar, S.; Rice, S. O.; Uhlenbeck, G. E.; Kac, M.; Ornstein, L. S.
80
1954
Toeplitz matrices, translation kernels and a related problem in probability theory. Zbl 0056.10201
Kac, M.
78
1954
Random walk and the theory of Brownian motion. Zbl 0031.22604
Kac, M.
77
1947
On some connections between probability theory and differential and integral equations. Zbl 0045.07002
Kac, M.
75
1951
On certain limit theorems of the theory of probability. Zbl 0063.01274
Erdős, Pál; Kac, M.
68
1946
On the van der Waals theory of the vapor-liquid equilibrium. I: Discussion of a one-dimensional model. Zbl 0938.82517
Kac, M.; Uhlenbeck, G. E.; Hemmer, P. C.
67
1963
On tests of normality and other tests of goodness of fit based on distance methods. Zbl 0066.12301
Kac, M.; Kiefer, J.; Wolfowitz, Jacob
52
1955
Statistical independence in probability, analysis and number theory. Zbl 0088.10303
Kac, Mark
51
1959
On the distribution of values of sums of the type \(\sum f(2^kt)\). Zbl 0063.03091
Kac, M.
50
1946
Probabilistic methods in some problems of scattering theory. Zbl 0314.47006
Kac, M.
47
1974
On the average number of real roots of a random algebraic equation. Zbl 0033.14702
Kac, M.
46
1948
The Gaussian law of errors in the theory of additive number theoretic functions. JFM 66.0172.02
Erdős, P.; Kac, M.
45
1940
A combinatorial solution of the two-dimensional Ising model. Zbl 0048.45804
Kac, M.; Ward, J. C.
43
1952
An explicit representation of a stationary Gaussian process. Zbl 0033.38501
Kac, M.; Siegert, A. J. F.
43
1947
Probability methods in some problems of analysis and number theory. Zbl 0036.30502
Kac, M.
37
1949
On some periodic Toda lattices. Zbl 0343.34003
Kac, M.; van Moerbeke, Pierre
35
1975
A complete solution of the periodic Toda problem. Zbl 0343.34004
Kac, M.; van Moerbeke, Pierre
31
1975
On the partition function of a one-dimensional gas. Zbl 0085.44603
Kac, Mark
30
1959
On deviations between theoretical and empirical distributions. Zbl 0033.19303
Kac, M.
30
1949
On the number of positive sums of independent random variables. Zbl 0032.03502
Erdős, Pál; Kac, M.
30
1947
Inequalities for Fourier transforms of positive functions. Zbl 0060.25602
Boas, R. P. jun.; Kac, M.
28
1945
The Gaussian law of errors in the theory of additive number-theoretic functions. Zbl 0024.10203
Erdős, Pál; Kac, M.
28
1940
On the quantum Langevin equation. Zbl 0682.60069
Ford, G. W.; Kac, M.
25
1987
Integration in function spaces and some of its applications. Zbl 0504.28015
Kac, M.
23
1980
Probability, number theory, and statistical physics. Selected papers. Ed. by K. Baclawski and M. D. Donsker. Zbl 0438.01011
Kac, Mark
22
1979
Large excursions of Gaussian processes. Zbl 0089.34101
Kac, Mark; Slepian, David
22
1959
A gap theorem. Zbl 0032.27402
Kac, M.; Salem, R.; Zygmund, Antoni
18
1948
Probability in classical physics. Zbl 0080.19701
Kac, Mark
16
1957
On the average of a certain Wiener functional and a related limit theorem in calculus of probability. Zbl 0063.03092
Kac, M.
14
1946
Study of several lattice systems with long-range forces. Zbl 0125.25902
Kac, M.; Helfand, E.
13
1963
The distribution of the maximum of partial sums of independent random variables. Zbl 0038.08601
Kac, Mark; Pollard, Harry
13
1950
On the Gaussian law of errors in the theory of additive functions. JFM 65.0164.02
Erdös, P.; Kac, M.
13
1939
On the van der Waals theory of the vapor-liquid equilibrium. III: Discussion of the critical region. Zbl 0938.82519
Hemmer, P. C.; Kac, M.; Uhlenbeck, G. E.
12
1964
Random walk in the presence of absorbing barriers. Zbl 0060.29101
Kac, M.
12
1945
Enigmas of chance. An autobiography. Zbl 0604.01008
Kac, Mark
11
1985
Wiener and integration in function spaces. Zbl 0131.00511
Kac, M.
11
1966
On the van der Waals theory of the vapor-liquid equilibrium. II: Discussion of the distribution functions. Zbl 0938.82518
Uhlenbeck, G. E.; Hemmer, P. C.; Kac, M.
11
1963
Propagation of chaos and the Burgers equation. Zbl 0554.35104
Gutkin, E.; Kac, M.
10
1983
A correction to ’On the average number of real roots of a random algebraic equation’. Zbl 0060.28603
Kac, M.
10
1943
Scattering length and capacity. Zbl 0303.28011
Kac, M.; Luttinger, J. M.
9
1975
An elementary queueing problem. Zbl 0114.09203
Boudreau, P. E.; Griffin, J. S. jun.; Kac, M.
9
1962
On a characterization of the normal distribution. Zbl 0022.06102
Kac, M.
9
1939
Sur les fonctions indépendantes. I. JFM 62.0273.01
Kac, M.
9
1936
Critical behavior of several lattice models with long-range interaction. Zbl 1306.82004
Kac, Mark; Thompson, Colin J.
8
1969
On the mathematical mechanism of phase transition. Zbl 0129.23102
Kac, M.; Thompson, C. J.
7
1966
Some remarks on the use of probability in classical statistical mechanics. Zbl 0072.42903
Kac, M.
7
1956
On the distribution of values of trigonometric sums with linearly independent frequencies. Zbl 0061.13710
Kac, M.
7
1943
On the Gaussian law of errors in the theory of additive functions. Zbl 0021.20702
Erdős, Pál; Kac, M.
7
1939
On a characterization of the normal distribution. JFM 65.0569.01
Kac, M.
7
1939
A note on learning signal detection. Zbl 0099.34506
Kac, M.
6
1962
Distribution of eigenvalues of certain integral operators. Zbl 0074.31601
Kac, M.
6
1956
On some isospectral second order differential operators. Zbl 0294.34012
Kac, Mark; van Moerbeke, Pierre
5
1974
On some probabilistic aspects of classical analysis. Zbl 0208.13704
Kac, M.
5
1970
Mathematics and logic. Retrospect and prospects. Zbl 0205.28901
Kac, M.; Ulam, S. M.
5
1968
A remark on Wiener’s Tauberian theorem. Zbl 0136.33001
Kac, M.
5
1965
Statistical independence in probability analysis and number theory. Translation from the English by Yu.V.Prokhorov. Zbl 0112.09101
Kac, M.
5
1963
Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503
Chung, K. L.; Kac, M.
5
1951
Convergence of certain gap series. Zbl 0061.13402
Kac, M.
5
1943
Note on the distribution of values of the arithmetic function d(m). Zbl 0063.03090
Kac, M.
5
1941
Note on power series with big gaps. Zbl 0020.37603
Kac, 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 0963.01036
Chandrasekhar, S.; Kac, M.; Smoluchowski, R.
4
2000
Henri Lebesgue and the Polish school of mathematics: observations and recollections. Zbl 0441.01028
Kac, M.
4
1978
Some remarks on stable processes. Zbl 0082.13001
Kac, M.
4
1957
Some probabilistic aspects of scattering theory. Zbl 0318.34033
Kac, M.; van Moerbeke, P.
3
1975
William Feller, in memoriam. Zbl 0251.01010
Kac, M.
3
1972
Aspects probabilistes de la théorie du potential. Zbl 0216.10205
Kac, M.
3
1970
Asymptotic behaviour of class of determinants. Zbl 0183.04801
Kac, M.
3
1969
A class of limit theorems. Zbl 0078.31503
Kac, M.
3
1957
A remark on the preceding paper by A. Rényi. Zbl 0066.03301
Kac, M.
3
1955
Signal and noise problems. Zbl 0056.12604
Kac, M.
3
1954
Note on the partial sums of the exponential series. Zbl 0061.12908
Kac, M.
3
1942
Convergence and divergence of non-harmonic gap series. Zbl 0061.13901
Kac, M.
3
1941
Ramanujan sums and almost periodic functions. Zbl 0063.01273
Erdős, Pál; Kac, M.; van Kampen, E. R.; Wintner, A.
3
1940
Almost periodicity and the representation of integers as sums of squares. Zbl 0023.00904
Kac, M.
3
1940
Ramanujan sums and almost periodic functions. JFM 66.0170.01
Kac, M.; van Kampen, E. R.; Wintner, A.
3
1940
Ramanujan sums and almost periodic functions. JFM 66.0169.02
Erdös, P.; Kac, M.; v. Kampen, E. R.; Wintner, A.
3
1940
Une remarque sur les polynômes de M. S. Bernstein. Zbl 0018.20704
Kac, M.
3
1938
Discrete thoughts. Essays on mathematics, science, and philosophy. Zbl 0597.00034
Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T.
2
1986
On applying mathematics: reflections and examples. Zbl 0275.00009
Kac, M.
2
1972
Some analytic aspects of probabilistic potential theory. Zbl 0225.60034
Ciesielski, Z.; Kac, M.
2
1969
On subsets containing a family of non-commensurable subsets of a finite set. Zbl 0144.00502
Kac, M.
2
1966
On a series of cosecants. Zbl 0080.04301
Kac, M.; Salem, R.
2
1957
An application of probability theory to the study of Laplace’s equation. Zbl 0048.34001
Kac, M.
2
1952
Statistical analysis of certain types of random functions. Zbl 0063.02945
Hurwitz, H. jun.; Kac, M.
2
1944
Convergence and divergence of non-harmonic gap series. JFM 67.0229.02
Kac, M.
2
1941
Almost periodicity and the representation of integers as sums of squares. JFM 66.0151.04
Kac, M.
2
1940
Reconnaissance de priorité relative à ma note “Une remarque sur les polynomes de M. S. Bernstein”. JFM 65.0248.03
Kac, M.
2
1939
Sur les fonctions independantes. V. Zbl 0018.07602
Kac, M.
2
1938
On certain Toeplitz-like matrices and their relation to the problem of lattice vibrations. Zbl 1401.82041
Kac, 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 0963.01036
Chandrasekhar, S.; Kac, M.; Smoluchowski, R.
4
2000
A history-dependent random sequence defined by Ulam. Zbl 0685.60018
Kac, M.
1
1989
On the quantum Langevin equation. Zbl 0682.60069
Ford, G. W.; Kac, M.
25
1987
Discrete thoughts. Essays on mathematics, science, and philosophy. Zbl 0597.00034
Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T.
2
1986
Enigmas of chance. An autobiography. Zbl 0604.01008
Kac, Mark
11
1985
Propagation of chaos and the Burgers equation. Zbl 0554.35104
Gutkin, E.; Kac, M.
10
1983
Integration in function spaces and some of its applications. Zbl 0504.28015
Kac, M.
23
1980
Probability, number theory, and statistical physics. Selected papers. Ed. by K. Baclawski and M. D. Donsker. Zbl 0438.01011
Kac, Mark
22
1979
Mathematics and logic. Retrospect and prospects. (Reprint). Zbl 0479.00011
Kac, Mark; Ulam, Stanislaw M.
1
1979
Henri Lebesgue and the Polish school of mathematics: observations and recollections. Zbl 0441.01028
Kac, M.
4
1978
Some mathematical problems in statistical mechanics. Zbl 0404.60100
Kac, M.
1
1978
On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices. Zbl 0306.34001
Kac, M.; van Moerbeke, Pierre
100
1975
On some periodic Toda lattices. Zbl 0343.34003
Kac, M.; van Moerbeke, Pierre
35
1975
A complete solution of the periodic Toda problem. Zbl 0343.34004
Kac, M.; van Moerbeke, Pierre
31
1975
Scattering length and capacity. Zbl 0303.28011
Kac, M.; Luttinger, J. M.
9
1975
Some probabilistic aspects of scattering theory. Zbl 0318.34033
Kac, M.; van Moerbeke, P.
3
1975
A stochastic model related to the telegrapher’s equation. Zbl 0314.60052
Kac, Mark
139
1974
Probabilistic methods in some problems of scattering theory. Zbl 0314.47006
Kac, M.
47
1974
On some isospectral second order differential operators. Zbl 0294.34012
Kac, Mark; van Moerbeke, Pierre
5
1974
Hugo Steinhaus - a reminiscence and a tribute. Zbl 0287.01024
Kac, Mark
1
1974
Non-Markovian diffusion in idealized Lorentz gases. Zbl 0261.76059
Gates, D. J.; Gerst, I.; Kac, M.
1
1973
William Feller, in memoriam. Zbl 0251.01010
Kac, M.
3
1972
On applying mathematics: reflections and examples. Zbl 0275.00009
Kac, M.
2
1972
On some probabilistic aspects of classical analysis. Zbl 0208.13704
Kac, M.
5
1970
Aspects probabilistes de la théorie du potential. Zbl 0216.10205
Kac, M.
3
1970
Critical behavior of several lattice models with long-range interaction. Zbl 1306.82004
Kac, Mark; Thompson, Colin J.
8
1969
Asymptotic behaviour of class of determinants. Zbl 0183.04801
Kac, M.
3
1969
Some analytic aspects of probabilistic potential theory. Zbl 0225.60034
Ciesielski, Z.; Kac, M.
2
1969
Mathematics and logic. Retrospect and prospects. Zbl 0205.28901
Kac, M.; Ulam, S. M.
5
1968
Toward a unified view on mathematical theories of phase transitions. Zbl 0162.29301
Kac, M.
1
1968
Can one hear the shape of a drum? Zbl 0139.05603
Kac, Mark
336
1966
Wiener and integration in function spaces. Zbl 0131.00511
Kac, M.
11
1966
On the mathematical mechanism of phase transition. Zbl 0129.23102
Kac, M.; Thompson, C. J.
7
1966
On subsets containing a family of non-commensurable subsets of a finite set. Zbl 0144.00502
Kac, M.
2
1966
Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605
Ford, G.; Kac, M.; Mazur, Peter
92
1965
A remark on Wiener’s Tauberian theorem. Zbl 0136.33001
Kac, M.
5
1965
Probability and related topics in physical sciences. Übersetzung aus dem Englischen von R. A. Minlos. Zbl 0133.39803
Kats, M.
1
1965
On the van der Waals theory of the vapor-liquid equilibrium. III: Discussion of the critical region. Zbl 0938.82519
Hemmer, 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 0938.82517
Kac, M.; Uhlenbeck, G. E.; Hemmer, P. C.
67
1963
Study of several lattice systems with long-range forces. Zbl 0125.25902
Kac, M.; Helfand, E.
13
1963
On the van der Waals theory of the vapor-liquid equilibrium. II: Discussion of the distribution functions. Zbl 0938.82518
Uhlenbeck, 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 0112.09101
Kac, M.
5
1963
An elementary queueing problem. Zbl 0114.09203
Boudreau, P. E.; Griffin, J. S. jun.; Kac, M.
9
1962
A note on learning signal detection. Zbl 0099.34506
Kac, M.
6
1962
A discrete queueing problem with variable service times. Zbl 0111.15103
Boudreau, 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 0087.33003
Kac, Mark
204
1959
Statistical independence in probability, analysis and number theory. Zbl 0088.10303
Kac, Mark
51
1959
On the partition function of a one-dimensional gas. Zbl 0085.44603
Kac, Mark
30
1959
Large excursions of Gaussian processes. Zbl 0089.34101
Kac, Mark; Slepian, David
22
1959
Some remarks on stable processes with independent increments. Zbl 0201.49801
Kac, M.
1
1959
Remark on recurrence times. Zbl 0087.42005
Kac, M.
1
1959
On rapidly mixing transformations and an application to continued fractions. Zbl 0089.11101
Kac, M.; Kesten, Harry
1
1958
On occupation times for Markoff processes. Zbl 0078.32005
Darling, D. A.; Kac, M.
80
1957
Probability in classical physics. Zbl 0080.19701
Kac, Mark
16
1957
Some remarks on stable processes. Zbl 0082.13001
Kac, M.
4
1957
A class of limit theorems. Zbl 0078.31503
Kac, M.
3
1957
On a series of cosecants. Zbl 0080.04301
Kac, M.; Salem, R.
2
1957
Uniform distribution on a sphere. Zbl 0078.31402
Kac, M.
1
1957
Foundations of kinetic theory. Zbl 0072.42802
Kac, M.
109
1956
Some remarks on the use of probability in classical statistical mechanics. Zbl 0072.42903
Kac, M.
7
1956
Distribution of eigenvalues of certain integral operators. Zbl 0074.31601
Kac, M.
6
1956
On tests of normality and other tests of goodness of fit based on distance methods. Zbl 0066.12301
Kac, M.; Kiefer, J.; Wolfowitz, Jacob
52
1955
A remark on the preceding paper by A. Rényi. Zbl 0066.03301
Kac, M.
3
1955
Selected papers on noise and stochastic processes. Zbl 0059.11903
Wax, N.; Doob, Joseph L.; Chandrasekhar, S.; Rice, S. O.; Uhlenbeck, G. E.; Kac, M.; Ornstein, L. S.
80
1954
Toeplitz matrices, translation kernels and a related problem in probability theory. Zbl 0056.10201
Kac, M.
78
1954
Signal and noise problems. Zbl 0056.12604
Kac, M.
3
1954
On the eigen-values of certain Hermitian forms. Zbl 0051.30302
Kac, M.; Murdock, W. L.; Szegö, Gábor
91
1953
Corrections to the paper “Remarks on fluctuations of sums of independent random variables”. Zbl 0050.35304
Chung, K. L.; Kac, M.
1
1953
The spherical model of a ferromagnet. Zbl 0047.45703
Berlin, T. H.; Kac, M.
94
1952
A combinatorial solution of the two-dimensional Ising model. Zbl 0048.45804
Kac, M.; Ward, J. C.
43
1952
An application of probability theory to the study of Laplace’s equation. Zbl 0048.34001
Kac, M.
2
1952
On some connections between probability theory and differential and integral equations. Zbl 0045.07002
Kac, M.
75
1951
Remarks on fluctuations of sums of independent random variables. Zbl 0042.37503
Chung, K. L.; Kac, M.
5
1951
The distribution of the maximum of partial sums of independent random variables. Zbl 0038.08601
Kac, Mark; Pollard, Harry
13
1950
On distributions of certain Wiener functionals. Zbl 0032.03501
Kac, M.
118
1949
Probability methods in some problems of analysis and number theory. Zbl 0036.30502
Kac, M.
37
1949
On deviations between theoretical and empirical distributions. Zbl 0033.19303
Kac, M.
30
1949
On the average number of real roots of a random algebraic equation. Zbl 0033.14702
Kac, M.
46
1948
A gap theorem. Zbl 0032.27402
Kac, M.; Salem, R.; Zygmund, Antoni
18
1948
On the notion of recurrence in discrete stochastic processes. Zbl 0032.41802
Kac, M.
93
1947
Random walk and the theory of Brownian motion. Zbl 0031.22604
Kac, M.
77
1947
An explicit representation of a stationary Gaussian process. Zbl 0033.38501
Kac, M.; Siegert, A. J. F.
43
1947
On the number of positive sums of independent random variables. Zbl 0032.03502
Erdős, Pál; Kac, M.
30
1947
On certain limit theorems of the theory of probability. Zbl 0063.01274
Erdős, Pál; Kac, M.
68
1946
On the distribution of values of sums of the type \(\sum f(2^kt)\). Zbl 0063.03091
Kac, M.
50
1946
On the average of a certain Wiener functional and a related limit theorem in calculus of probability. Zbl 0063.03092
Kac, M.
14
1946
Inequalities for Fourier transforms of positive functions. Zbl 0060.25602
Boas, R. P. jun.; Kac, M.
28
1945
Random walk in the presence of absorbing barriers. Zbl 0060.29101
Kac, M.
12
1945
A remark on independence and quadratic forms involving independent Gaussian variables. Zbl 0060.28601
Kac, M.
1
1945
Statistical analysis of certain types of random functions. Zbl 0063.02945
Hurwitz, H. jun.; Kac, M.
2
1944
On the average number of real roots of a random algebraic equation. Zbl 0060.28602
Kac, M.
138
1943
A correction to ’On the average number of real roots of a random algebraic equation’. Zbl 0060.28603
Kac, M.
10
1943
On the distribution of values of trigonometric sums with linearly independent frequencies. Zbl 0061.13710
Kac, M.
7
1943
Convergence of certain gap series. Zbl 0061.13402
Kac, M.
5
1943
Note on the partial sums of the exponential series. Zbl 0061.12908
Kac, M.
3
1942
Note on the distribution of values of the arithmetic function d(m). Zbl 0063.03090
Kac, M.
5
1941
Convergence and divergence of non-harmonic gap series. Zbl 0061.13901
Kac, M.
3
1941
Convergence and divergence of non-harmonic gap series. JFM 67.0229.02
Kac, M.
2
1941
The Gaussian law of errors in the theory of additive number theoretic functions. JFM 66.0172.02
Erdős, P.; Kac, M.
45
1940
...and 29 more Documents
all top 5

Cited by 3,558 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.
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 Sakhnovich, Alexander L.
8 Spitzer, Frank L.
7 Albeverio, Sergio A.
7 Bardina, Xavier
7 Damianou, Pantelis Andrea
7 Kolesnik, Alexander D.
7 Mischler, Stéphane
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 Deng, Weihua
6 Gordon, Carolyn S.
6 Hillen, Thomas
6 Kaloshin, Vadim Yu.
6 Kiessling, Michael Karl-Heinz
6 Lindgren, Georg
6 Lis, Marcin
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 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 Majumdar, Satya N.
5 Maksimenko, Egor A.
5 Nikitin, Yakov Yu.
5 Parter, Seymour V.
5 Pinasco, Juan Pablo
5 Pogorui, Anatoliy A.
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 Branquinho, Amílcar José Pinto Lopes
4 Chang, Xiangke
4 Csáki, Endre
4 Dai, Wusheng
4 Diaconis, Persi Warren
4 Fan, Engui
...and 3,458 more Authors
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Cited in 487 Serials

179 Journal of Statistical Physics
103 Journal of Mathematical Physics
81 Transactions of the American Mathematical Society
72 Communications in Mathematical Physics
63 Journal of Mathematical Analysis and Applications
63 Stochastic Processes and their Applications
53 Proceedings of the American Mathematical Society
41 Journal of Functional Analysis
40 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
37 Linear Algebra and its Applications
34 Statistics & Probability Letters
30 Advances in Mathematics
30 The Annals of Probability
30 Probability Theory and Related Fields
28 Journal of Statistical Mechanics: Theory and Experiment
25 Bulletin of the American Mathematical Society
24 Journal of Mathematical Sciences (New York)
24 Physical Review, II. Series
23 Physica A
23 Chaos, Solitons and Fractals
22 Journal of Soviet Mathematics
22 The Annals of Applied Probability
22 Chaos
21 Israel Journal of Mathematics
21 Journal of Theoretical Probability
20 Journal of Computational Physics
20 Theoretical and Mathematical Physics
19 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 Communications in Statistics. Theory and Methods
17 International Journal of Theoretical Physics
17 Applied Mathematics and Computation
16 Annales de l’Institut Fourier
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
13 Nuclear Physics. B
13 Duke Mathematical Journal
13 Annales Henri Poincaré
13 Stochastics and Dynamics
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
11 Monatshefte für Mathematik
11 Potential Analysis
10 Journal of Mathematical Biology
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 Communications in Partial Differential Equations
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
...and 387 more Serials
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Cited in 63 Fields

1,022 Probability theory and stochastic processes (60-XX)
501 Statistical mechanics, structure of matter (82-XX)
465 Partial differential equations (35-XX)
256 Dynamical systems and ergodic theory (37-XX)
236 Quantum theory (81-XX)
186 Statistics (62-XX)
172 Number theory (11-XX)
169 Numerical analysis (65-XX)
157 Operator theory (47-XX)
135 Global analysis, analysis on manifolds (58-XX)
93 Ordinary differential equations (34-XX)
93 Fluid mechanics (76-XX)
90 Harmonic analysis on Euclidean spaces (42-XX)
86 Linear and multilinear algebra; matrix theory (15-XX)
76 Biology and other natural sciences (92-XX)
74 Measure and integration (28-XX)
69 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
68 Real functions (26-XX)
66 Combinatorics (05-XX)
56 Functions of a complex variable (30-XX)
51 Special functions (33-XX)
48 Systems theory; control (93-XX)
46 Differential geometry (53-XX)
45 Information and communication theory, circuits (94-XX)
42 Computer science (68-XX)
41 Integral equations (45-XX)
41 Functional analysis (46-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
38 Mechanics of particles and systems (70-XX)
33 History and biography (01-XX)
33 Approximations and expansions (41-XX)
28 Algebraic geometry (14-XX)
27 Difference and functional equations (39-XX)
26 Relativity and gravitational theory (83-XX)
23 Mechanics of deformable solids (74-XX)
23 Operations research, mathematical programming (90-XX)
22 Several complex variables and analytic spaces (32-XX)
19 Potential theory (31-XX)
18 Topological groups, Lie groups (22-XX)
17 General and overarching topics; collections (00-XX)
17 Nonassociative rings and algebras (17-XX)
16 Convex and discrete geometry (52-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Group theory and generalizations (20-XX)
12 Field theory and polynomials (12-XX)
12 Abstract harmonic analysis (43-XX)
12 Manifolds and cell complexes (57-XX)
10 Optics, electromagnetic theory (78-XX)
9 Geometry (51-XX)
9 Geophysics (86-XX)
8 Mathematical logic and foundations (03-XX)
8 Integral transforms, operational calculus (44-XX)
7 Sequences, series, summability (40-XX)
6 General topology (54-XX)
3 Commutative algebra (13-XX)
3 Algebraic topology (55-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Mathematics education (97-XX)

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