Edit Profile (opens in new tab) Birkhoff, George David Compute Distance To: Compute Author ID: birkhoff.george-d Published as: Birkhoff, G. D.; Birkhoff, George D.; Birkhoff, G.; Birkhoff, George David more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 192 Publications since 1904, including 10 Books 1 Contribution as Editor Biographic References: 14 Publications Co-Authors: 21 Co-Authors with 40 Joint Publications 130 Co-Co-Authors all top 5 Co-Authors 150 single-authored 11 Hestenes, Magnus Rudolph 4 Alaoglu, Leonidas 4 Lewis, Daniel C. jun. 3 Langer, Rudolph Ernest 3 Trjitzinsky, Waldemar Joseph 2 Bamforth, Frederic Richard 2 Guenther, Paul Ernest 2 Kellogg, Oliver Dimon 2 Koopman, Bernard Osgood 1 Barajas, Alberto 1 Beatley, Ralph 1 Birkhoff, Garrett 1 Brown, Ernest William 1 Coolidge, Julian Lowell 1 Frank, Philipp 1 Graef, C. 1 Kac, Mark 1 Kemble, Edwin C. 1 Leuschner, Armin Otto 1 Lifshitz, Jaime 1 Russell, Henry Norris 1 Smith, Paul Althaus 1 Szegő, Gábor 1 Vallarta, Manuel Sandoval 1 Vandiver, Harry Schultz 1 von Mises, Richard all top 5 Serials 40 Bulletin of the American Mathematical Society 24 Proceedings of the National Academy of Sciences of the United States of America 15 Transactions of the American Mathematical Society 10 Annals of Mathematics. Second Series 6 Acta Mathematica 6 Annali della Scuola Normale Superiore di Pisa. II. Ser 5 Bulletin de la Société Mathématique de France 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 5 Revista de Ciencias, Lima 5 Science 4 Duke Mathematical Journal 3 American Mathematical Monthly 3 Mathematische Annalen 3 Annales de l’Institut Henri Poincaré 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Rendiconti del Circolo Matematico di Palermo 2 Memoriae Pontificiae Academiae Scientiarum Novi Lyncaei. III. Series 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Bulletin of the American Mathematical Society. New Series 1 Periodico di Matematiche. IV. Serie 1 Physical Review, II. Series 1 Acta Litterarum ac Scientiarum. Regiae Universitatis Hungaricae Francisco-Josephinae. Sectio Scientiarum Mathematicarum 1 Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse 1 Colloquium Publications. American Mathematical Society 1 Rendiconti del Seminario Matematico delle Facoltá di Scienze della R. Universitá di Roma, II. Serie 1 Scientia 1 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse all top 5 Fields 21 Ordinary differential equations (34-XX) 11 History and biography (01-XX) 9 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 5 General topology (54-XX) 4 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 2,631 times in 2,181 Documents Cited by ▼ Year ▼ Dynamical systems. JFM 53.0732.01Birkhoff, George D. 268 1927 Dynamical systems. First printing of revised edition. Zbl 0171.05402Birkhoff, G. D. 193 1966 Démonstration d’un théorème élémentaire sur les fonctions entières. JFM 55.0192.07Birkhoff, G. D. 177 1929 A determinant formula for the number of ways of coloring a map. JFM 43.0574.02Birkhoff, G. D. 126 1912 Boundary value and expansion problems of ordinary linear differential equations. JFM 39.0386.02Birkhoff, G. D. 124 1908 Surface transformations and their dynamical applications. JFM 47.0985.03Birkhoff, G. D. 97 1920 Dynamical systems with two degrees of freedom. JFM 46.1174.01Birkhoff, G. D. 86 1917 The restricted problem of three bodies. JFM 45.1396.01Birkhoff, G. D. 77 1915 On the asymptotic character of the solutions of certain linear differential equations containing a parameter. JFM 39.0386.01Birkhoff, G. D. 76 1908 Proof of Poincaré’s geometric theorem. JFM 44.0761.01Birkhoff, G. D. 71 1913 Chromatic polynomials. Zbl 0060.41601Birkhoff, George D.; Lewis, D. C. 69 1946 Proof of the ergodic theorem. JFM 57.1011.02Birkhoff, G. D. 68 1931 On the periodic motions of dynamical systems. JFM 53.0733.03Birkhoff, G. D. 68 1927 Proof of the ergodic theorem. Zbl 0003.25602Birkhoff, George D. 61 1931 On the integral divisors of \(a^n - b^n\). JFM 35.0205.01Birkhoff, George David; Vandiver, H. S. 58 1904 Formal theory of irregular linear difference equations. JFM 56.0402.01Birkhoff, G. D. 54 1930 General theory of linear difference equations. JFM 42.0359.02Birkhoff, G. D. 51 1911 Relativity and modern physics. With the cooperation of R. E. Langer. JFM 49.0619.01Birkhoff, G. D. 49 1923 An extension of Poincaré’s last geometric theorem. JFM 52.0573.02Birkhoff, G. D. 48 1926 Analytic theory of singular difference equations. Zbl 0006.16802Birkhoff, George D.; Trjitzinsky, W. J. 43 1933 General mean value and remainder theorems. JFM 37.0308.02Birkhoff, G. D. 43 1906 The generalized Riemann problem for linear differential equations and the allied problems for linear difference and \(q\)-difference equations. JFM 44.0391.03Birkhoff, G. D. 40 1913 On the periodic motions near a given periodic motion of a dynamical system. Zbl 0007.37104Birkhoff, G. D.; Lewis, D. C. jun. 33 1933 Invariant points in function space. JFM 48.0472.02Birkhoff, G. D.; Kellogg, O. D. 32 1922 Singular points ot ordinary linear differential equations. JFM 40.0352.02Birkhoff, G. D. 30 1909 Collected mathematical papers. Vols I, II, III. Zbl 0041.34201Birkhoff, George D. 30 1950 On the solutions of ordinary linear homogeneous differential equations of the third order. JFM 42.0344.01Birkhoff, G. D. 25 1911 The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 49.0723.01Birkhoff, G. D.; Langer, R. E. 24 1923 Nouvelles recherches sur les systèmes dynamiques. JFM 60.1340.02Birkhoff, G. D. 22 1934 A theorem on matrices of analytic functions. JFM 44.0469.02Birkhoff, G. D. 22 1913 Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601Birkhoff, George D. 20 1931 The reducibility of maps. JFM 44.0568.01Birkhoff, George David 19 1913 Stability and the equations of dynamics. JFM 53.0733.04Birkhoff, G. D. 18 1927 Quantum mechanics and asymptotic series. I. Zbl 0008.08902Birkhoff, G. D. 17 1933 General ergodic theorems. JFM 66.0559.02Alaoglu, L.; Birkhoff, G. 16 1940 Sur quelques courbes fermées remarquables. Zbl 0005.22002Birkhoff, George D. 16 1932 General ergodic theorems. Zbl 0024.12402Alaoglu, L.; Birkhoff, G. 16 1940 Aesthetic measure. JFM 59.0871.02Birkhoff, G. D. 16 1933 Natural isoperimetric conditions in the calculus of variations. Zbl 0014.31601Birkhoff, G. D.; Hestenes, M. R. 14 1935 Equivalent singular points of ordinary linear differential equations. JFM 44.0373.01Birkhoff, G. D. 14 1913 Quelques théorèmes sur le mouvement des systèmes dynamiques. JFM 43.0818.01Birkhoff, G. D. 13 1912 Analytical groups. JFM 64.1092.02Birkhoff, G. 13 1938 Recent contributions to the ergodic theory. Zbl 0004.31102Birkhoff, G. D.; Koopman, B. O. 12 1932 Nouvelles recherches sur les systèmes dynamiques. Zbl 0016.23401Birkhoff, George D. 12 1934 Matter, electricity and gravitation in flat space-time. Zbl 0061.47004Birkhoff, George D. 11 1943 Analytic theory of singular difference equations. JFM 59.0450.03Birkhoff, G. D.; Trjitzinsky, W. J. 11 1933 Sur quelques courbes fermées remarquables. JFM 58.0633.01Birkhoff, George David 11 1932 Structure analysis of surface transformations. JFM 54.0604.03Birkhoff, G. D.; Smith, P. A. 11 1928 Note on a canonical form for the linear \(q\)-difference system. JFM 67.0305.02Birkhoff, G. D.; Guenther, P. E. 10 1941 Some unsolved problems of theoretical dynamics. Zbl 1225.70001Birkhoff, George D. 10 1941 A set of postulates for plane geometry, based on scale and protractor. Zbl 0004.12602Birkhoff, George D. 9 1932 Existence and oscillation theorem for a certain boundary value problem. JFM 40.0375.01Birkhoff, G. D. 8 1909 Collected mathematical papers. Vols I, II, III. Zbl 0225.01009Birkhoff, George D. 8 1968 On the number of ways of colouring a map. JFM 56.0499.02Birkhoff, G. D. 8 1930 Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. Zbl 0001.17402Birkhoff, George D. 7 1931 Note on a canonical form for the linear \(q\)-difference system. Zbl 0061.20002Birkhoff, George D.; Guenther, Paul E. 7 1941 A simplified treatment of the regular singular point. JFM 41.0350.01Birkhoff, G. D. 6 1910 What is the ergodic theorem,. Zbl 0063.00410Birkhoff, George D. 6 1942 Über gewisse Zentralbewegungen dynamischer Systeme. JFM 52.0802.04Birkhoff, G. D. 6 1926 Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802Birkhoff, George D. 5 1933 Generalized minimax principle in the calculus of variations. Zbl 0013.17101Birkhoff, G. D.; Hestenes, M. R. 5 1935 Note on the expansion problems of ordinary linear differential equations. JFM 44.0372.03Birkhoff, G. D. 5 1913 Probability and physical systems. Zbl 0005.22201Birkhoff, G. D. 4 1932 On the polynomial expressions for the number of ways of coloring a map. Zbl 0008.22601Birkhoff, George D. 4 1934 Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405Birkhoff, George D. 4 1939 Quantum mechanics and asymptotic series. JFM 59.1530.01Birkhoff, G. D. 4 1933 Sur une généralisation de la série de Taylor. JFM 46.0483.05Birkhoff, G. D. 4 1917 Infinite products of analytic matrices. JFM 46.0531.04Birkhoff, G. D. 4 1916 On a simple type of irregular singular point. JFM 44.0373.02Birkhoff, G. D. 4 1913 Fifty years of American mathematics. JFM 64.0003.04Birkhoff, G. D. 4 1938 Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103Birkhoff, George D. 3 1932 Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701Birkhoff, G. D.; Hestenes, M. R. 3 1935 Fifty years of American mathematics. Zbl 0019.24307Birkhoff, George D. 3 1938 Distributive postulates for systems like Boolean algebras. Zbl 0060.05810Birkhoff, George D.; Birkhoff, Garrett 3 1946 The mathematical nature of physical theories. Zbl 0061.00609Birkhoff, George D. 3 1943 Flat space-time and gravitation. Zbl 0061.47005Birkhoff, George D. 3 1944 The principle of sufficient reason. Zbl 0063.00407Birkhoff, George D. 3 1941 A set of postulates for plane geometry. JFM 58.1196.01Birkhoff, G. D. 3 1932 Recent contributions to the ergodic theory. JFM 58.1271.02Birkhoff, G. D.; Koopman, B. O. 3 1932 An elementary double inequality for the roots of an algebraic equation having greatest absolute value. JFM 45.0186.03Birkhoff, G. D. 3 1915 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 Note on linear difference and differential equations. JFM 67.0305.01Birkhoff, G. D. 2 1941 A mathematical approach to aesthetics. Zbl 0002.17703Birkhoff, George D. 2 1931 Generalized minimax principle in the calculus of variations. Zbl 0011.16602Birkhoff, G. D.; Hestenes, M. R. 2 1935 Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804Birkhoff, George D. 2 1935 On the polynomial expressions for the number of ways of coloring a map. JFM 60.0501.06Birkhoff, G. D. 2 1934 Analytic theory of singular difference equations. JFM 58.0472.02Birkhoff, G. D.; Trjitzinsky, W. J. 2 1932 Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. JFM 57.0729.03Birkhoff, G. D. 2 1931 Proof of a recurrence for strongly transitive systems. JFM 57.1011.01Birkhoff, G. D. 2 1931 Divergent series and singular points of ordinary differential equations. JFM 56.0381.01Birkhoff, G. D.; Bamforth, F. R. 2 1930 The periodic motions near a stable periodic motion of a dynamical system. JFM 53.0751.19Birkhoff, G. D. 2 1927 A mathematical critique of some physical theories. JFM 53.0828.18Birkhoff, G. D. 2 1927 The hydrogen atom and the Balmer formula. JFM 53.0869.06Birkhoff, G. D. 2 1927 Dynamical systems. Transl. from the English by E. M. Livenson. Ed. by A. A. Markov, V. V. Nemytskij and V. V. Stepanov. (Dinamicheskie sistemy.) Zbl 0992.37001Birkhoff, G. D. 2 1999 General ergodic theorems. Zbl 0022.36103Alaoglu, L.; Birkhoff, G. 1 1939 Collected mathematical papers. Vols. I, II, III. Zbl 0045.14802Birkhoff, George D. 1 1951 On Birkhoff’s new theory of gravitation. Zbl 0061.47011Barajas, A.; Birkhoff, George D.; Graef, C.; Vallarta, M. 1 1944 Sur le problème restreint des trois corps. II. JFM 62.0929.02Birkhoff, G. D. 1 1936 Sur le problème restreint des trois corps. JFM 61.1480.03Birkhoff, G. D. 1 1935 The mathematical work of Oliver Dimon Kellogg. JFM 59.0042.07Birkhoff, G. D. 1 1933 A mathematical critique of some physical theories. Zbl 1010.01520Birkhoff, G. D. 1 2000 Dynamical systems. Transl. from the English by E. M. Livenson. Ed. by A. A. Markov, V. V. Nemytskij and V. V. Stepanov. (Dinamicheskie sistemy.) Zbl 0992.37001Birkhoff, G. D. 2 1999 Collected mathematical papers. Vols I, II, III. Zbl 0225.01009Birkhoff, George D. 8 1968 Dynamical systems. First printing of revised edition. Zbl 0171.05402Birkhoff, G. D. 193 1966 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 Collected mathematical papers. Vols. I, II, III. Zbl 0045.14802Birkhoff, George D. 1 1951 Collected mathematical papers. Vols I, II, III. Zbl 0041.34201Birkhoff, George D. 30 1950 Chromatic polynomials. Zbl 0060.41601Birkhoff, George D.; Lewis, D. C. 69 1946 Distributive postulates for systems like Boolean algebras. Zbl 0060.05810Birkhoff, George D.; Birkhoff, Garrett 3 1946 Flat space-time and gravitation. Zbl 0061.47005Birkhoff, George D. 3 1944 On Birkhoff’s new theory of gravitation. Zbl 0061.47011Barajas, A.; Birkhoff, George D.; Graef, C.; Vallarta, M. 1 1944 Matter, electricity and gravitation in flat space-time. Zbl 0061.47004Birkhoff, George D. 11 1943 The mathematical nature of physical theories. Zbl 0061.00609Birkhoff, George D. 3 1943 What is the ergodic theorem,. Zbl 0063.00410Birkhoff, George D. 6 1942 Note on a canonical form for the linear \(q\)-difference system. JFM 67.0305.02Birkhoff, G. D.; Guenther, P. E. 10 1941 Some unsolved problems of theoretical dynamics. Zbl 1225.70001Birkhoff, George D. 10 1941 Note on a canonical form for the linear \(q\)-difference system. Zbl 0061.20002Birkhoff, George D.; Guenther, Paul E. 7 1941 The principle of sufficient reason. Zbl 0063.00407Birkhoff, George D. 3 1941 Note on linear difference and differential equations. JFM 67.0305.01Birkhoff, G. D. 2 1941 General ergodic theorems. JFM 66.0559.02Alaoglu, L.; Birkhoff, G. 16 1940 General ergodic theorems. Zbl 0024.12402Alaoglu, L.; Birkhoff, G. 16 1940 Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405Birkhoff, George D. 4 1939 General ergodic theorems. Zbl 0022.36103Alaoglu, L.; Birkhoff, G. 1 1939 Analytical groups. JFM 64.1092.02Birkhoff, G. 13 1938 Fifty years of American mathematics. JFM 64.0003.04Birkhoff, G. D. 4 1938 Fifty years of American mathematics. Zbl 0019.24307Birkhoff, George D. 3 1938 Sur le problème restreint des trois corps. II. JFM 62.0929.02Birkhoff, G. D. 1 1936 Natural isoperimetric conditions in the calculus of variations. Zbl 0014.31601Birkhoff, G. D.; Hestenes, M. R. 14 1935 Generalized minimax principle in the calculus of variations. Zbl 0013.17101Birkhoff, G. D.; Hestenes, M. R. 5 1935 Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701Birkhoff, G. D.; Hestenes, M. R. 3 1935 Generalized minimax principle in the calculus of variations. Zbl 0011.16602Birkhoff, G. D.; Hestenes, M. R. 2 1935 Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804Birkhoff, George D. 2 1935 Sur le problème restreint des trois corps. JFM 61.1480.03Birkhoff, G. D. 1 1935 Nouvelles recherches sur les systèmes dynamiques. JFM 60.1340.02Birkhoff, G. D. 22 1934 Nouvelles recherches sur les systèmes dynamiques. Zbl 0016.23401Birkhoff, George D. 12 1934 On the polynomial expressions for the number of ways of coloring a map. Zbl 0008.22601Birkhoff, George D. 4 1934 On the polynomial expressions for the number of ways of coloring a map. JFM 60.0501.06Birkhoff, G. D. 2 1934 Analytic theory of singular difference equations. Zbl 0006.16802Birkhoff, George D.; Trjitzinsky, W. J. 43 1933 On the periodic motions near a given periodic motion of a dynamical system. Zbl 0007.37104Birkhoff, G. D.; Lewis, D. C. jun. 33 1933 Quantum mechanics and asymptotic series. I. Zbl 0008.08902Birkhoff, G. D. 17 1933 Aesthetic measure. JFM 59.0871.02Birkhoff, G. D. 16 1933 Analytic theory of singular difference equations. JFM 59.0450.03Birkhoff, G. D.; Trjitzinsky, W. J. 11 1933 Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802Birkhoff, George D. 5 1933 Quantum mechanics and asymptotic series. JFM 59.1530.01Birkhoff, G. D. 4 1933 The mathematical work of Oliver Dimon Kellogg. JFM 59.0042.07Birkhoff, G. D. 1 1933 On the periodic motions near a given periodic motion of a dynamical system. JFM 59.0733.05Birkhoff, G. D.; Lewis, D. C. 1 1933 Sur quelques courbes fermées remarquables. Zbl 0005.22002Birkhoff, George D. 16 1932 Recent contributions to the ergodic theory. Zbl 0004.31102Birkhoff, G. D.; Koopman, B. O. 12 1932 Sur quelques courbes fermées remarquables. JFM 58.0633.01Birkhoff, George David 11 1932 A set of postulates for plane geometry, based on scale and protractor. Zbl 0004.12602Birkhoff, George D. 9 1932 Probability and physical systems. Zbl 0005.22201Birkhoff, G. D. 4 1932 Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103Birkhoff, George D. 3 1932 A set of postulates for plane geometry. JFM 58.1196.01Birkhoff, G. D. 3 1932 Recent contributions to the ergodic theory. JFM 58.1271.02Birkhoff, G. D.; Koopman, B. O. 3 1932 Analytic theory of singular difference equations. JFM 58.0472.02Birkhoff, G. D.; Trjitzinsky, W. J. 2 1932 Proof of the ergodic theorem. JFM 57.1011.02Birkhoff, G. D. 68 1931 Proof of the ergodic theorem. Zbl 0003.25602Birkhoff, George D. 61 1931 Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601Birkhoff, George D. 20 1931 Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. Zbl 0001.17402Birkhoff, George D. 7 1931 A mathematical approach to aesthetics. Zbl 0002.17703Birkhoff, George D. 2 1931 Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. JFM 57.0729.03Birkhoff, G. D. 2 1931 Proof of a recurrence for strongly transitive systems. JFM 57.1011.01Birkhoff, G. D. 2 1931 Formal theory of irregular linear difference equations. JFM 56.0402.01Birkhoff, G. D. 54 1930 On the number of ways of colouring a map. JFM 56.0499.02Birkhoff, G. D. 8 1930 Divergent series and singular points of ordinary differential equations. JFM 56.0381.01Birkhoff, G. D.; Bamforth, F. R. 2 1930 Démonstration d’un théorème élémentaire sur les fonctions entières. JFM 55.0192.07Birkhoff, G. D. 177 1929 Einige Probleme der Dynamik. JFM 55.0452.03Birkhoff, G. D. 1 1929 Divergente Reihen und singuläre Punkte gewöhnlicher Differentialgleichungen. JFM 55.0844.01Birkhoff, G. D. 1 1929 Structure analysis of surface transformations. JFM 54.0604.03Birkhoff, G. D.; Smith, P. A. 11 1928 Dynamical systems. JFM 53.0732.01Birkhoff, George D. 268 1927 On the periodic motions of dynamical systems. JFM 53.0733.03Birkhoff, G. D. 68 1927 Stability and the equations of dynamics. JFM 53.0733.04Birkhoff, G. D. 18 1927 The periodic motions near a stable periodic motion of a dynamical system. JFM 53.0751.19Birkhoff, G. D. 2 1927 A mathematical critique of some physical theories. JFM 53.0828.18Birkhoff, G. D. 2 1927 The hydrogen atom and the Balmer formula. JFM 53.0869.06Birkhoff, G. D. 2 1927 An extension of Poincaré’s last geometric theorem. JFM 52.0573.02Birkhoff, G. D. 48 1926 Über gewisse Zentralbewegungen dynamischer Systeme. JFM 52.0802.04Birkhoff, G. D. 6 1926 Sur la signification des équations canoniques de la dynamique. JFM 52.0802.03Birkhoff, G. D. 1 1926 Relativity and modern physics. With the cooperation of R. E. Langer. JFM 49.0619.01Birkhoff, G. D. 49 1923 The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 49.0723.01Birkhoff, G. D.; Langer, R. E. 24 1923 Invariant points in function space. JFM 48.0472.02Birkhoff, G. D.; Kellogg, O. D. 32 1922 The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 48.0528.03Birkhoff, G. D.; Langer, R. E. 1 1922 Surface transformations and their dynamical applications. JFM 47.0985.03Birkhoff, G. D. 97 1920 The work of Poincaré on automorphic functions. JFM 47.0368.01Birkhoff, G. D. 1 1920 Sur la démonstration directe du dernier théorème de Henri Poincaré, par M. Dantzig. JFM 46.0834.01Birkhoff, G. D. 1 1918 Dynamical systems with two degrees of freedom. JFM 46.1174.01Birkhoff, G. D. 86 1917 Sur une généralisation de la série de Taylor. JFM 46.0483.05Birkhoff, G. D. 4 1917 Infinite products of analytic matrices. JFM 46.0531.04Birkhoff, G. D. 4 1916 Dynamical systems with two degrees of freedom. JFM 46.0834.02Birkhoff, G. D. 1 1916 The restricted problem of three bodies. JFM 45.1396.01Birkhoff, G. D. 77 1915 An elementary double inequality for the roots of an algebraic equation having greatest absolute value. JFM 45.0186.03Birkhoff, G. D. 3 1915 Proof of Poincaré’s geometric theorem. JFM 44.0761.01Birkhoff, G. D. 71 1913 The generalized Riemann problem for linear differential equations and the allied problems for linear difference and \(q\)-difference equations. JFM 44.0391.03Birkhoff, G. D. 40 1913 A theorem on matrices of analytic functions. JFM 44.0469.02Birkhoff, G. D. 22 1913 The reducibility of maps. JFM 44.0568.01Birkhoff, George David 19 1913 Equivalent singular points of ordinary linear differential equations. JFM 44.0373.01Birkhoff, G. D. 14 1913 Note on the expansion problems of ordinary linear differential equations. JFM 44.0372.03Birkhoff, G. D. 5 1913 On a simple type of irregular singular point. JFM 44.0373.02Birkhoff, G. D. 4 1913 Note on the gamma function. JFM 44.0516.04Birkhoff, G. D. 1 1913 A determinant formula for the number of ways of coloring a map. JFM 43.0574.02Birkhoff, G. D. 126 1912 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,539 Authors 27 Markeev, Anatoliĭ Pavlovich 13 Bernal-Gonzàlez, Luis 12 Grigoryan, Martin Gevorgovich 12 Zhang, Yi 11 Kozlov, Valeriĭ Vasil’evich 11 Peris, Alfredo 10 Bardin, Boris Sabirovich 9 Giorgilli, Antonio 8 Bès, Juan P. 8 Frauenfelder, Urs Adrian 8 Freiling, Gerhard 8 Le Calvez, Patrice 8 Ramis, Jean-Pierre 8 Sargsyan, Artsrun A. 8 Shkalikov, Andreĭ Andreevich 8 Wang, Junmin 7 Arnaud, Marie-Claude 7 Conejero, José Alberto 7 Holmes, Philip J. 7 Kaloshin, Vadim Yu. 7 Luh, Wolfgang 7 Mather, John N. 7 Meyer, Kenneth R. 7 Sauloy, Jacques 7 Sorrentino, Alfonso 7 Trjitzinsky, Waldemar Joseph 6 Dong, Fengming 6 Fonda, Alessandro 6 Lutz, Donald A. 6 MacKay, Robert Sinclair 6 Mei, Fengxiang 6 Menet, Quentin 6 Pelyukh, Grygor P. 6 Wang, Qiudong 6 Wu, Huibin 6 Zanolin, Fabio 6 Zhang, Changgui 5 Annaby, Mahmoud H. 5 Berger, Pierre 5 Blokhin, Aleksandr Mikhaĭlovich 5 Chan, Kit Chak 5 Chekina, Evgeniya Alekseevna 5 Donnelly, John B. 5 Eberhard, Walter 5 Ellis, George Francis Rayner 5 Erokhovets, Nikolaĭ Yur’evich 5 Fomenko, Anatoliĭ Timofeevich 5 Hamza, Alaa E. 5 Llibre, Jaume 5 Long, Yiming 5 Luo, Albert C. J. 5 Luo, Shaokai 5 Makowsky, Johann-Andreas 5 Malamud, Mark M. 5 Mudrock, Jeffrey A. 5 Neuman, František 5 Reid, William T. 5 Rezaei, Hamid 5 Sansottera, Marco 5 Scorza Dragoni, Giuseppe 5 Sokal, Alan D. 5 Sokol’skiĭ, Andreĭ Georgievich 5 Tanikawa, Kiyotaka 5 Thomassen, Carsten 5 Tkachev, Dmitriĭ Leonidovich 5 van Koert, Otto 5 Vedyushkina, Viktoriya Viktorovna 5 Wimp, Jet 5 Wong, Roderick Sue-Chuen 5 Zhang, Weinian 4 Amouch, Mohamed 4 Bayart, Frédéric 4 Bazzani, Armando 4 Benzinger, Harold E. 4 Biasco, Luca 4 Calderón-Moreno, María del Carmen 4 Chechkin, Gregory Aleksandrovich 4 Chen, Yonggao 4 Chepyzhov, Vladimir V. 4 Costakis, George 4 Dahlberg, Samantha 4 Dehornoy, Pierre 4 Dettmann, Carl P. 4 Ernst, Romuald 4 Forte, Bruno 4 Gauthier, Paul M. 4 Goswami, Rituparno 4 Guo, Bao-Zhu 4 Intissar, Abdelkader 4 Jurkat, Wolfgang B. 4 Kennedy, Judy A. 4 Kim, Seongchan 4 Koh, Khee Meng 4 Kong, Xinlei 4 Krall, Allan M. 4 León-Saavedra, Fernando 4 Leonel, Edson Denis 4 Liang, Zaitao 4 Locker, John 4 Lorentz, Georg Gunther ...and 2,439 more Authors all top 5 Cited in 459 Serials 83 Journal of Mathematical Analysis and Applications 69 Journal of Differential Equations 58 Transactions of the American Mathematical Society 45 Physica D 39 Proceedings of the American Mathematical Society 36 Communications in Mathematical Physics 36 Journal of Approximation Theory 35 Journal of Applied Mathematics and Mechanics 30 Journal of Combinatorial Theory. Series B 30 Mathematische Zeitschrift 30 Celestial Mechanics and Dynamical Astronomy 30 Regular and Chaotic Dynamics 29 Discrete Mathematics 27 Ergodic Theory and Dynamical Systems 27 Journal of Mathematical Sciences (New York) 25 Mathematische Annalen 24 Advances in Mathematics 23 Chaos, Solitons and Fractals 22 Journal of Mathematical Physics 22 Acta Mathematica 22 Bulletin of the American Mathematical Society. New Series 22 Bulletin of the American Mathematical Society 20 Mathematical Notes 20 Chaos 19 Inventiones Mathematicae 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Celestial Mechanics 17 Journal of Functional Analysis 16 General Relativity and Gravitation 16 Prikladnaya Matematika i Mekhanika 16 Annales de l’Institut Fourier 14 Applied Mathematics and Computation 14 Duke Mathematical Journal 14 Nonlinear Dynamics 13 Results in Mathematics 12 Journal of Geometry and Physics 12 Journal of Computational and Applied Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Nonlinear Analysis. Theory, Methods & Applications 11 Journal of Statistical Physics 11 Topology and its Applications 11 Discrete and Continuous Dynamical Systems 11 Proceedings of the Steklov Institute of Mathematics 10 Physics Letters. A 10 Rocky Mountain Journal of Mathematics 10 The Mathematical Intelligencer 10 Integral Equations and Operator Theory 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Advances in Applied Mathematics 10 Journal of Dynamics and Differential Equations 10 Journal of Fixed Point Theory and Applications 10 Complex Analysis and Operator Theory 9 Archive for Rational Mechanics and Analysis 9 Linear Algebra and its Applications 9 Acta Mathematica Sinica. English Series 8 Acta Mechanica 8 Archive for History of Exact Sciences 8 Israel Journal of Mathematics 8 Mathematics of Computation 8 Archiv der Mathematik 8 Manuscripta Mathematica 8 The Electronic Journal of Combinatorics 8 Journal of Difference Equations and Applications 8 Annals of Mathematics. Second Series 7 Discrete Applied Mathematics 7 International Journal of Theoretical Physics 7 Nonlinearity 7 Theoretical and Mathematical Physics 7 Geometriae Dedicata 7 Publications Mathématiques 7 Journal of Number Theory 7 Graphs and Combinatorics 7 Journal of Symbolic Computation 7 Aequationes Mathematicae 7 Historia Mathematica 7 Computational Methods and Function Theory 7 Advances in Difference Equations 7 Russian Journal of Nonlinear Dynamics 6 Astrophysics and Space Science 6 Bulletin of the Australian Mathematical Society 6 Journal of the Franklin Institute 6 Bulletin de la Société Mathématique de France 6 Functional Analysis and its Applications 6 Journal of Geometry 6 Journal of Optimization Theory and Applications 6 Journal of Soviet Mathematics 6 Computer Aided Geometric Design 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Rendiconti del Circolo Matematico di Palermo 6 Journal of Topology and Analysis 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Modern Physics Letters A 5 Letters in Mathematical Physics 5 Physica A 5 Ukrainian Mathematical Journal 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal of Computer and System Sciences 5 Semigroup Forum 5 Theoretical Computer Science ...and 359 more Serials all top 5 Cited in 62 Fields 634 Dynamical systems and ergodic theory (37-XX) 335 Ordinary differential equations (34-XX) 325 Mechanics of particles and systems (70-XX) 239 Operator theory (47-XX) 194 Combinatorics (05-XX) 127 Differential geometry (53-XX) 97 Difference and functional equations (39-XX) 91 Partial differential equations (35-XX) 87 Functions of a complex variable (30-XX) 84 Numerical analysis (65-XX) 77 Number theory (11-XX) 69 Functional analysis (46-XX) 66 General topology (54-XX) 66 Global analysis, analysis on manifolds (58-XX) 61 Relativity and gravitational theory (83-XX) 57 Quantum theory (81-XX) 55 Approximations and expansions (41-XX) 50 History and biography (01-XX) 50 Probability theory and stochastic processes (60-XX) 44 Manifolds and cell complexes (57-XX) 43 Computer science (68-XX) 42 Several complex variables and analytic spaces (32-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 36 Statistical mechanics, structure of matter (82-XX) 34 Special functions (33-XX) 32 Measure and integration (28-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 28 Systems theory; control (93-XX) 27 Convex and discrete geometry (52-XX) 26 Group theory and generalizations (20-XX) 26 Topological groups, Lie groups (22-XX) 23 Abstract harmonic analysis (43-XX) 23 Geometry (51-XX) 23 Fluid mechanics (76-XX) 22 Real functions (26-XX) 21 Algebraic geometry (14-XX) 20 Algebraic topology (55-XX) 18 Field theory and polynomials (12-XX) 17 Mechanics of deformable solids (74-XX) 16 General and overarching topics; collections (00-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Biology and other natural sciences (92-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Mathematical logic and foundations (03-XX) 14 Astronomy and astrophysics (85-XX) 14 Information and communication theory, circuits (94-XX) 12 Nonassociative rings and algebras (17-XX) 12 Statistics (62-XX) 10 Associative rings and algebras (16-XX) 8 Potential theory (31-XX) 8 Sequences, series, summability (40-XX) 8 Integral transforms, operational calculus (44-XX) 8 Integral equations (45-XX) 7 Commutative algebra (13-XX) 7 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Category theory; homological algebra (18-XX) 5 Mathematics education (97-XX) 4 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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