Probability, number theory, and statistical physics: selected papaers
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. [u.a.]
MIT Pr.
1979
|
| Schriftenreihe: | Mathematicians of our time
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXXVIII, 529 S. |
| ISBN: | 0262110679 |
Internformat
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| 245 | 1 | 0 | |a Probability, number theory, and statistical physics |b selected papaers |c Mark Kac. Ed. by K. Baclawski ... |
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b MIT Pr. |c 1979 | |
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| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Statistical physics | |
| 650 | 7 | |a Statistische mechanica |2 gtt | |
| 650 | 7 | |a Waarschijnlijkheidstheorie |2 gtt | |
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Datensatz im Suchindex
| _version_ | 1804116715635736576 |
|---|---|
| adam_text | Contents
(Bracketed numbers are from the bibliography.)
Autobiographical Note
ix
Introduction
xxiv
Acknowledgments
xxvii
Bibliography of Mark Kac
xxviii
Commentary
1
Reprints of Papers
25
[1] A trigonometrical series 25
[4] Sur les fonctions independantes (I) 28
[8] (with H. Steinhaus) Sur les fonctions independantes (IV) 41
[9] Sur les fonctions independantes (V) 56
[10] Une remarque sur les polynomes de M. S. Bernstein 61
[11] Une remarque sur les equations functionnelles 64
[12] Quelques remarques sur les zeros des integrales de Fourier 66
[13] Sur les fonctions 2nt |2 t 69
[14] Note on power series with big gaps 73
[15] On a characterization of the normal distribution 77
[16] (with E. R. van Kampen) Circular equidistributions and
statistical independence 80
[20] (with P. Erdos, E. R. van Kampen, and A. Wintner) Ramanujan
sums and almost periodic functions 86
[21] Almost periodicity and the representation of integers as sums
of squares 97
[22] (with P. Erdos) The Gaussian law of errors in the theory of
additive number theoretic functions 102
[23] (with R. P. Agnew) Translated functions and statistical
independence 107
[24] Convergence and divergence of non harmonic gap series 114
[25] Note on the distribution of values of the arithmetic function
d(m) 119
[26] Two number theoretic remarks 122
[27] Note on partial sums of the exponential series 128
[28] On the average number of real roots of a random algebraic
equation 131
[29] On the distribution of values of trigonometric sums with linearly
independent frequencies 139
[30] Convergence of certain gap series 146
[31] (with H. Hurwitz, Jr.) Statistical analysis of certain types of
random functions 151
[33] (with R. P. Boas, Jr.) Inequalities for Fourier transforms of
positive functions 160
[35] On the distribution of values of sums of the type 2/(2* t) 178
[36] (with P. Erdos) On certain limit theorems of the theory of
probability 195
[38] (with A. J. F. Siegert) On the theory of noise in radio
receivers with square law detectors 206
[39] (with P. Erdos) On the number of positive sums of independent
random variables 221
[40] On the notion of recurrence in discrete stochastic processes 231
[41] Random walk and the theory of Brownian motion 240
[42] (with A. J. F. Siegert) An explicit representation of a
stationary Gaussian process 263
[45] On distributions of certain Wiener functionals 268
[46] On deviations between theoretical and empirical distributions 281
[48] Probability methods in some problems of analysis and
number theory 287
[50] (with H. Pollard) The distribution of the maximum of partial
sums of independent random variables 312
[52] On some connections between probability theory and differ¬
ential and integral equations 322
[53] On a theorem of Zygmund 349
[54] (with M. D. Donsker) A sampling method for determining the
lowest eigenvalue and the principal eigenfunction of Schrod
inger s equation 351
[55] (with T. H. Berlin) The spherical model of a ferromagnet 358
[56] (with J. C. Ward) A combinatorial solution of the two dimen¬
sional Ising model 373
[60] Toeplitz matrices, translation kernels and a related problem in
probability theory 379
[61] Foundations of kinetic theory 388
[66] (with D. A. Darling) On occupation times for Markoff processes 415
[67] A class of limit theorems 430
vi CONTENTS
[69] Uniform distribution on a sphere 443
[76] On the partition function of a one dimensional gas 445
[80] Probability theory: Its role and its impact 450
[84] (with G. E. Uhlenbeck and P. C. Hemmer) On the van der Waals
theory of the vapor liquid equilibrium. I. Discussion of a one
dimensional model 461
[94] Can one hear the shape of a drum? 474
[108] On applying mathematics: Reflections and examples 497
[112] (with K. M. Case) A discrete version of the inverse scattering
problem 510
[126] (with P. van Moerbeke) On an explicitly soluble system of
nonlinear differential equations related to certain Toda lattices 520
vii CONTENTS
|
| any_adam_object | 1 |
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| dewey-full | 512.708 530.159508 519.208 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 530 - Physics 519 - Probabilities and applied mathematics |
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| dewey-search | 512.708 530.159508 519.208 |
| dewey-sort | 3512.708 |
| dewey-tens | 510 - Mathematics 530 - Physics |
| discipline | Physik Mathematik |
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| id | DE-604.BV002258572 |
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| indexdate | 2024-07-09T15:42:55Z |
| institution | BVB |
| isbn | 0262110679 |
| language | English |
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| physical | XXXVIII, 529 S. |
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| series | Mathematicians of our time |
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| spelling | Kac, Mark 1914-1984 Verfasser (DE-588)120657538 aut Probability, number theory, and statistical physics selected papaers Mark Kac. Ed. by K. Baclawski ... Cambridge, Mass. [u.a.] MIT Pr. 1979 XXXVIII, 529 S. txt rdacontent n rdamedia nc rdacarrier Mathematicians of our time 14 Kac, Mark 1914-1984 (DE-588)120657538 gnd rswk-swf Getaltheorie gtt Numbers, Theory of Probabilities Statistical physics Statistische mechanica gtt Waarschijnlijkheidstheorie gtt Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Statistische Physik (DE-588)4057000-9 s Kac, Mark 1914-1984 (DE-588)120657538 p Mathematicians of our time 14 (DE-604)BV000014195 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kac, Mark 1914-1984 Probability, number theory, and statistical physics selected papaers Mathematicians of our time Kac, Mark 1914-1984 (DE-588)120657538 gnd Getaltheorie gtt Numbers, Theory of Probabilities Statistical physics Statistische mechanica gtt Waarschijnlijkheidstheorie gtt Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistische Physik (DE-588)4057000-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)120657538 (DE-588)4064324-4 (DE-588)4057000-9 (DE-588)4067277-3 (DE-588)4143413-4 |
| title | Probability, number theory, and statistical physics selected papaers |
| title_auth | Probability, number theory, and statistical physics selected papaers |
| title_exact_search | Probability, number theory, and statistical physics selected papaers |
| title_full | Probability, number theory, and statistical physics selected papaers Mark Kac. Ed. by K. Baclawski ... |
| title_fullStr | Probability, number theory, and statistical physics selected papaers Mark Kac. Ed. by K. Baclawski ... |
| title_full_unstemmed | Probability, number theory, and statistical physics selected papaers Mark Kac. Ed. by K. Baclawski ... |
| title_short | Probability, number theory, and statistical physics |
| title_sort | probability number theory and statistical physics selected papaers |
| title_sub | selected papaers |
| topic | Kac, Mark 1914-1984 (DE-588)120657538 gnd Getaltheorie gtt Numbers, Theory of Probabilities Statistical physics Statistische mechanica gtt Waarschijnlijkheidstheorie gtt Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Statistische Physik (DE-588)4057000-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Kac, Mark 1914-1984 Getaltheorie Numbers, Theory of Probabilities Statistical physics Statistische mechanica Waarschijnlijkheidstheorie Wahrscheinlichkeitsrechnung Statistische Physik Zahlentheorie Aufsatzsammlung |
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