ABSTRACT
Etude de l’e´quation de la diffusion avec croissance
de la quantite´de matie`re et son application a` un
proble`me biologique
1942 J. L. Doob The Brownian movement and stochastic equations
1942 E. Hopf Abzweigung einer periodischen Lo¨sung von einer
stationa¨ren Lo¨sung eines Differentialsystems
1942 A. Kolmogorov Interpolation and extrapolation of stationary series
1943 S. Chandrasekhar Stochastic problems in physics and astronomy
1944 L. D. Landau On the problem of turbulence
1945 M. L. Cartwright
and J. E. Little-
wood
On nonlinear differential equations of the second
order
— S. O. Rice Mathematical analysis of random noise
1947 M. Kac Random walk and the theory of Brownian motion
1948 E. Hopf A mathematical example displaying features of
turbulence
— M. L. Cartwright Forced oscillations in nearly sinusoidal systems
1949 C. E. Shannon and
W. Weaver
The mathematical theory of information
1951 G. H. Markstein Experimental and theoretical studies of flame-front
stability
Year Name Title of Publication
1952 A. L. Hodgkin and
A. F. Huxley
A quantitative description of membrane current and
its application to conduction and excitation in nerve
— A. L. Hodgkin and
A. F. Huxley
Current carried by sodium and potassium ions
through the membrane of the giant axon of loligo
1953 N. Metropolis et al. Equations of state calculations by fast computing
machine
1954 A. N. Kolmogorov Preservation of conditionally periodic movements
with small change in the Hamiltonian function
1956 W. Feller An introduction to probability theory and its
applications
1956 R. E. Kalman Nonlinear aspects of sample data control systems
— P. Landberg Vibrations caused by chip formation
— E. N. Lorenz Empirical orthonogal functions and statistical
weather prediction
— G. Contopoulos On the isophotes of ellipsoidal nebulae
1958 A. N. Kolmogorov A new invariant of transitive dynamical systems
— P. J. Myrberg Iteration der reellen Polynome zweiten Grades
— G. Contopoulos On the vertical motions of stars in a galaxy
1959 N. N. Leonov Transformations d’une droite en elle-me`me
— A. Re´nyi On the dimension and entropy of probability
distributions
1960 R. E. Kalman A new approach to linear filtering and prediction
problems
— N. N. Leonov Transformation ponctuelle d’une droite en elle-
me`me discontinue, line´aire par morceaux
— N. N. Leonov The´orie des transformations discontinues d’une
droite en elle-me`me
— G. Contopoulos A third integral of motion in a galaxy
1961 R. A. FitzHugh Impulses and physiological states in theoretical
models of nerve membrane
1962 P. J. Myrberg Sur l’ite´ration des polynomes re´els quadratiques
— J. Nagumo et al. An active pulse transmission line simulating nerve
axon
1963 E. N. Lorenz Deterministic nonperiodic flow
— B. Mandelbrot The variation of certain speculative prices
Year Name Title of Publication
1964 E. N. Lorenz The problem of deducing the climate from the gov-
erning equations
— M. He´non and C.
