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Lanford, Oscar E. III (b. 1940 d. 2013)

Author ID: lanford.oscar-e-iii Recent zbMATH articles by "Lanford, Oscar E. III"
Published as: Lanford, Oscar E. III; Lanford, O. E. III; Lanford, Oscar III; Lanford, O. E.; Lanford, O.; Lanford, Oscar E. III.; Lanford, O. E. III.; Lanford, Oscar E.; Lanford, Oscar
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 42 Publications since 1963, including 1 Book
4 Further Contributions
Biographic References: 2 Publications
Co-Authors: 17 Co-Authors with 20 Joint Publications
856 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 741 times in 633 Documents Cited by Year
The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007
Marsden, J. E.; McCracken, M.
515
1976
A computer-assisted proof of the Feigenbaum conjectures. Zbl 0487.58017
Lanford, Oscar E. III
138
1982
Time evolution of large classical systems. Zbl 0329.70011
Lanford, Oscar E. III
128
1975
Universal properties of maps on an interval. Zbl 0455.58024
Collet, P.; Eckmann, J.-P.; Lanford, O. E. III
68
1980
Bifurcation of periodic solutions into invariant tori: The work of Ruelle and Takens. Zbl 0272.34039
Lanford, Oscar E. III
45
1973
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
41
1970
The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem. Zbl 0164.25401
Lanford, O. E. III
36
1968
The classical mechanics of one-dimensional systems of infinitely many particles. II: Kinetic theory. Zbl 0175.21401
Lanford, O. E. III
36
1969
Mean entropy of states in quantum-statistical mechanics. Zbl 0174.28303
Lanford, O. E. III; Robinson, D. W.
29
1968
Integral representations of invariant states on \(B^ *\)-algebras. Zbl 0166.11402
Lanford, O.; Ruelle, D.
27
1967
Statistica mechanics of quantum spin systems. III. Zbl 0172.27702
Lanford, Oscar E. III; Robinson, D. W.
27
1968
Equilibrium time correlation functions in the low-density limit. Zbl 0508.60089
van Beijeren, Henk; Lanford, O. E. III; Lebowitz, J. L.; Spohn, H.
25
1980
Informal remarks on the orbit structure of discrete approximations to chaotic maps. Zbl 0922.58042
Lanford, Oscar E. III
21
1998
Computer-assisted proofs in analysis. Zbl 0599.58036
Lanford, Oscar E. III
16
1984
Functional equations for circle homeomorphisms with golden ratio rotation number. Zbl 0588.58051
Lanford, Oscar E. III
12
1984
Nonequilibrium phenomena I: The Boltzmann equation. Zbl 0583.76004
10
1983
Time evolution and ergodic properties of harmonic systems. Zbl 0338.28011
Lanford, Oscar E. III; Lebowitz, Joel L.
9
1975
A shorter proof of the existence of the Feigenbaum fixed point. Zbl 0576.58021
Lanford, Oscar E. III
8
1984
Smooth transformations of intervals. Zbl 0514.58028
Lanford, Oscar E. III
8
1981
Renormalization group methods for circle mappings. Zbl 0707.58043
Lanford, Oscar E. III
6
1988
Appendix: Sample field behavior for the free Markov random field. Zbl 0346.28004
Colella, Phillip; Lanford, Oscar E.
6
1973
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0569.58010
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
5
1984
The structure of Lorenz attractors. Appendix: Computer pictures of the Lorenz attractor. Zbl 0363.58005
Williams, R. F.; Lanford, Oscar
5
1977
Remarks on the accumulation of period-doubling bifurcations. Zbl 0454.58012
Lanford, Oscar E. III
5
1980
Fractional powers of generators of equicontinuous semigroups and fractional derivatives. Zbl 0689.47015
Lanford, Oscar E. III; Robinson, Derek W.
4
1989
Renormalization group methods for circle mappings. Zbl 0614.58032
Lanford, Oscar E. III
4
1986
On a derivation of the Boltzmann equation. Zbl 0353.70020
Lanford, Oscar E. III
4
1977
Qualitative and statistical theory of dissipative systems. Zbl 0459.76024
Lanford, Oscar E. III
4
1978
A numerical study of the likelihood of phase locking. Zbl 0598.58041
Lanford, Oscar E. III
3
1985
Transfer operators acting on Zygmund functions. Zbl 0856.47004
Baladi, Viviane; Jiang, Yunping; Lanford, Oscar E. III
3
1996
Stability of a family of travelling wave solutions in a feedforward chain of phase oscillators. Zbl 1316.34038
Lanford, O. E. III.; Mintchev, S. M.
3
2015
Statistical mechanical methods and continued fractions. Zbl 0874.11084
Lanford, O. E. III; Ruedin, L.
3
1996
Time evolution of infinite classical systems. Zbl 0373.70016
Lanford, Oscar E. III
3
1975
Fixed point of the parabolic renormalization operator. Zbl 1342.37051
Lanford, Oscar E. III; Yampolsky, Michael
2
2014
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0583.58025
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
2
1984
Time-evolution of infinite classical systems. Zbl 0273.70015
Lanford, Oscar E. III
2
1972
Computer-assisted proofs in analysis. Zbl 0676.65039
Lanford, Oscar E. III
1
1987
Introduction to the mathematical theory of dynamical systems. Zbl 0565.58027
Lanford, Oscar E. III
1
1983
An introduction to the Lorenz system. Zbl 0357.34027
Lanford, Oscar E. III
1
1977
Statistical mechanics and quantum field theory. Mécanique statistique et théorie quantique des champs. Université de Grenoble-Summer School of Theoretical Physics Les Houches 1970. Zbl 0242.46002
1
1971
Stability of a family of travelling wave solutions in a feedforward chain of phase oscillators. Zbl 1316.34038
Lanford, O. E. III.; Mintchev, S. M.
3
2015
Fixed point of the parabolic renormalization operator. Zbl 1342.37051
Lanford, Oscar E. III; Yampolsky, Michael
2
2014
Informal remarks on the orbit structure of discrete approximations to chaotic maps. Zbl 0922.58042
Lanford, Oscar E. III
21
1998
Transfer operators acting on Zygmund functions. Zbl 0856.47004
Baladi, Viviane; Jiang, Yunping; Lanford, Oscar E. III
3
1996
Statistical mechanical methods and continued fractions. Zbl 0874.11084
Lanford, O. E. III; Ruedin, L.
3
1996
Fractional powers of generators of equicontinuous semigroups and fractional derivatives. Zbl 0689.47015
Lanford, Oscar E. III; Robinson, Derek W.
4
1989
Renormalization group methods for circle mappings. Zbl 0707.58043
Lanford, Oscar E. III
6
1988
Computer-assisted proofs in analysis. Zbl 0676.65039
Lanford, Oscar E. III
1
1987
Renormalization group methods for circle mappings. Zbl 0614.58032
Lanford, Oscar E. III
4
1986
A numerical study of the likelihood of phase locking. Zbl 0598.58041
Lanford, Oscar E. III
3
1985
Computer-assisted proofs in analysis. Zbl 0599.58036
Lanford, Oscar E. III
16
1984
Functional equations for circle homeomorphisms with golden ratio rotation number. Zbl 0588.58051
Lanford, Oscar E. III
12
1984
A shorter proof of the existence of the Feigenbaum fixed point. Zbl 0576.58021
Lanford, Oscar E. III
8
1984
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0569.58010
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
5
1984
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0583.58025
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
2
1984
Nonequilibrium phenomena I: The Boltzmann equation. Zbl 0583.76004
10
1983
Introduction to the mathematical theory of dynamical systems. Zbl 0565.58027
Lanford, Oscar E. III
1
1983
A computer-assisted proof of the Feigenbaum conjectures. Zbl 0487.58017
Lanford, Oscar E. III
138
1982
Smooth transformations of intervals. Zbl 0514.58028
Lanford, Oscar E. III
8
1981
Universal properties of maps on an interval. Zbl 0455.58024
Collet, P.; Eckmann, J.-P.; Lanford, O. E. III
68
1980
Equilibrium time correlation functions in the low-density limit. Zbl 0508.60089
van Beijeren, Henk; Lanford, O. E. III; Lebowitz, J. L.; Spohn, H.
25
1980
Remarks on the accumulation of period-doubling bifurcations. Zbl 0454.58012
Lanford, Oscar E. III
5
1980
Qualitative and statistical theory of dissipative systems. Zbl 0459.76024
Lanford, Oscar E. III
4
1978
The structure of Lorenz attractors. Appendix: Computer pictures of the Lorenz attractor. Zbl 0363.58005
Williams, R. F.; Lanford, Oscar
5
1977
On a derivation of the Boltzmann equation. Zbl 0353.70020
Lanford, Oscar E. III
4
1977
An introduction to the Lorenz system. Zbl 0357.34027
Lanford, Oscar E. III
1
1977
The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007
Marsden, J. E.; McCracken, M.
515
1976
Time evolution of large classical systems. Zbl 0329.70011
Lanford, Oscar E. III
128
1975
Time evolution and ergodic properties of harmonic systems. Zbl 0338.28011
Lanford, Oscar E. III; Lebowitz, Joel L.
9
1975
Time evolution of infinite classical systems. Zbl 0373.70016
Lanford, Oscar E. III
3
1975
Bifurcation of periodic solutions into invariant tori: The work of Ruelle and Takens. Zbl 0272.34039
Lanford, Oscar E. III
45
1973
Appendix: Sample field behavior for the free Markov random field. Zbl 0346.28004
Colella, Phillip; Lanford, Oscar E.
6
1973
Time-evolution of infinite classical systems. Zbl 0273.70015
Lanford, Oscar E. III
2
1972
Statistical mechanics and quantum field theory. Mécanique statistique et théorie quantique des champs. Université de Grenoble-Summer School of Theoretical Physics Les Houches 1970. Zbl 0242.46002
1
1971
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
41
1970
The classical mechanics of one-dimensional systems of infinitely many particles. II: Kinetic theory. Zbl 0175.21401
Lanford, O. E. III
36
1969
The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem. Zbl 0164.25401
Lanford, O. E. III
36
1968
Mean entropy of states in quantum-statistical mechanics. Zbl 0174.28303
Lanford, O. E. III; Robinson, D. W.
29
1968
Statistica mechanics of quantum spin systems. III. Zbl 0172.27702
Lanford, Oscar E. III; Robinson, D. W.
27
1968
Integral representations of invariant states on \(B^ *\)-algebras. Zbl 0166.11402
Lanford, O.; Ruelle, D.
27
1967
all top 5

Cited by 762 Authors

20 Pulvirenti, Mario
17 Mireles-James, Jason D.
16 de la Llave, Rafael
14 Lessard, Jean-Philippe
9 Lebowitz, Joel Louis
9 Marchioro, Carlo
8 Eckmann, Jean-Pierre
8 Simonella, Sergio
7 Celletti, Alessandra
7 Iooss, Gérard
7 Pavlović, Nataša
7 Robinson, Derek W.
7 Ruelle, David Pierre
7 Saint-Raymond, Laure
7 Spohn, Herbert
6 Caprino, Silvia
6 Gallagher, Isabelle
6 Lanford, Oscar E. III
6 van den Berg, Jan Bouwe
5 Beyer, William A.
5 Bodineau, Thierry
5 Collet, Pierre
5 De Masi, Anna
5 Esposito, Raffaele
5 Rezakhanlou, Fraydoun
5 Suhov, Yurii Mikhailovich
5 Yorke, James Alan
4 Breden, Maxime
4 Buttà, Paolo
4 Dixon, Tony W.
4 Dudnikova, Tat’yana V.
4 Galatolo, Stefano
4 Goldstein, Sheldon
4 Hainzl, Christian
4 Jiang, Yunping
4 Kenny, Brian G.
4 Los, Victor F.
4 Lozi, René
4 Martens, Marco
4 Nota, Alessia
4 Presutti, Errico
4 Ruskai, Mary Beth
4 Saffirio, Chiara
4 Sander, Evelyn
4 Sato, Iwao
4 Størmer, Erling
4 Velázquez, Juan J. L.
3 Batty, Charles J. K.
3 Benedetto, Dario
3 Briant, Marc
3 Castella, François
3 Cavallaro, Guido
3 Chen, Thomas
3 Chierchia, Luigi
3 Cosnard, Michel Y.
3 Degond, Pierre
3 Denlinger, Ryan
3 Dobrushin, Roland L’vovich
3 Dudko, Artem
3 Epstein, Henri
3 Eshima, Nobuoki
3 Fischer, Pal
3 Gimeno, Joan
3 Granados, Albert
3 Guarino, Pablo
3 Guihéneuf, Pierre-Antoine
3 Hani, Zaher
3 Hiai, Fumio
3 Holmes, Philip J.
3 Jenkinson, Oliver
3 Koch, Hans-Friedrich
3 Krieger, Wolfgang
3 Matthies, Karsten
3 McGuire, James B.
3 Moriya, Hajime
3 Nisoli, Isaia
3 Osbaldestin, Andrew H.
3 Pellegrinotti, Alessandro
3 Pollicott, Mark
3 Radin, Charles
3 Rand, David A.
3 Shi, YongGuo
3 Sinaĭ, Yakov Grigor’evich
3 Stein, Paul R.
3 Tabata, Minoru
3 Thompson, Colin J.
3 Trushechkin, Anton Sergeevich
3 Wilde, Mark M.
3 Wittwer, Peter
3 Yampolsky, Michael
3 Yang, Jiaqi
3 Zhang, Min
2 Abdulla, Rashad U.
2 Abdulla, Ugur G.
2 Aizenman, Michael
2 Algaba, Antonio
2 Ampatzoglou, Ioakeim
2 Araki, Huzihiro
2 Arneodo, Alain
2 Aulbach, Bernd
...and 662 more Authors
all top 5

Cited in 186 Serials

90 Communications in Mathematical Physics
67 Journal of Statistical Physics
25 Physica D
18 Journal of Mathematical Physics
15 Archive for Rational Mechanics and Analysis
15 Ergodic Theory and Dynamical Systems
13 Transactions of the American Mathematical Society
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Inventiones Mathematicae
8 Discrete and Continuous Dynamical Systems
8 Kinetic and Related Models
7 Journal of Mathematical Analysis and Applications
7 Journal of Differential Equations
7 Journal of Soviet Mathematics
6 Reviews in Mathematical Physics
6 Chaos, Solitons and Fractals
6 Journal of Dynamics and Differential Equations
6 Chaos
6 SIAM Journal on Applied Dynamical Systems
6 Foundations of Physics
5 Letters in Mathematical Physics
5 Advances in Mathematics
5 Journal of Functional Analysis
5 Monatshefte für Mathematik
5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
5 Bulletin of the American Mathematical Society. New Series
5 Nonlinear Analysis. Theory, Methods & Applications
4 Nonlinearity
4 Proceedings of the American Mathematical Society
4 Advances in Applied Mathematics
4 SIAM Journal on Mathematical Analysis
4 Indagationes Mathematicae. New Series
4 Journal of Nonlinear Science
4 Journal of Computational Dynamics
3 Communications on Pure and Applied Mathematics
3 Israel Journal of Mathematics
3 Physica A
3 Theoretical and Mathematical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics and Computation
3 Publications Mathématiques
3 Memoirs of the American Mathematical Society
3 Synthese
3 Probability Theory and Related Fields
3 The Journal of Geometric Analysis
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Linear Algebra and its Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 Annales Henri Poincaré
3 Qualitative Theory of Dynamical Systems
3 Dynamical Systems
3 Foundations of Computational Mathematics
3 Bulletin of the American Mathematical Society
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Bulletin of the Australian Mathematical Society
2 Discrete Mathematics
2 Reports on Mathematical Physics
2 Reviews of Modern Physics
2 Studia Mathematica
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Probability
2 Journal of Computational and Applied Mathematics
2 Mathematische Annalen
2 Acta Applicandae Mathematicae
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 The Annals of Applied Probability
2 Aequationes Mathematicae
2 Annals of Physics
2 Experimental Mathematics
2 Russian Journal of Mathematical Physics
2 Journal of Difference Equations and Applications
2 Abstract and Applied Analysis
2 Open Systems & Information Dynamics
2 Erkenntnis
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Numerica
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 The Journal of Mathematical Neuroscience
2 Séminaire Laurent Schwartz. EDP et Applications
1 International Journal of Modern Physics B
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 European Journal of Physics
1 International Journal of Control
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Mathematical Notes
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Transport Theory and Statistical Physics
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Fortschritte der Physik
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
...and 86 more Serials
all top 5

Cited in 46 Fields

272 Dynamical systems and ergodic theory (37-XX)
177 Statistical mechanics, structure of matter (82-XX)
101 Partial differential equations (35-XX)
94 Probability theory and stochastic processes (60-XX)
61 Fluid mechanics (76-XX)
52 Quantum theory (81-XX)
51 Functional analysis (46-XX)
49 Ordinary differential equations (34-XX)
49 Numerical analysis (65-XX)
33 Operator theory (47-XX)
31 Mechanics of particles and systems (70-XX)
29 Difference and functional equations (39-XX)
24 Measure and integration (28-XX)
20 General topology (54-XX)
20 Information and communication theory, circuits (94-XX)
18 Biology and other natural sciences (92-XX)
16 Real functions (26-XX)
16 Global analysis, analysis on manifolds (58-XX)
14 Computer science (68-XX)
12 Number theory (11-XX)
11 Combinatorics (05-XX)
11 Functions of a complex variable (30-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Mathematical logic and foundations (03-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 General and overarching topics; collections (00-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Differential geometry (53-XX)
4 Group theory and generalizations (20-XX)
4 Topological groups, Lie groups (22-XX)
4 Manifolds and cell complexes (57-XX)
4 Relativity and gravitational theory (83-XX)
3 Approximations and expansions (41-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-XX)
2 Geophysics (86-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year

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