Statistical dynamics and economics

Bala, 1990

Baumol, 1989, Chaos: Significance, mechanism and economic applications, Journal of Economic Perspective, 3, 77, 10.1257/jep.3.1.77

Benhabib, 1982, A characterization of erratic dynamics in the overlapping generations models, Journal of Economic Dynamics and Control, 4, 37, 10.1016/0165-1889(82)90002-1

Boldrin, 1988, Persistent oscillations and chaos in economic models: Notes for a survey

Collett, 1980

Day, 1989, Comparative fiscal and monetary policy dynamics

Day, Richard H., Chaos and evolution in economic growth, in: K. Velupillai, ed., Nonlinearities, disequilibrium and simulation. Essays in honor of Björn Thalberg (in preparation).

Day, Richard H. and T.Y. Lin, A Keynesian business cycle, in: E.J. Nell and W. Semmler, eds. Nicolas Kaldor and mainstream economics (Macmillan, New York) (forthcoming).

Day, 1987, Ergodic fluctuations in economic models, Journal Economic Behavior and Organization, 8, 339, 10.1016/0167-2681(87)90049-7

Day, 1989, Economic growth in the very long run: On the multiple-phase interaction of population, technology, and social infrastructure

Dunford, 1958

Galeotti, 1988

Gibbs, 1901

Grandmont, 1985, On endogenous competitive business cycles, Econometrica, 53, 995, 10.2307/1911010

1987

Halmos, 1949, Measurable transformations, Memoirs of the American Mathematical Society, 55, 1015

Hofbauer,, 1982, Equilibrium states for piecewise monotonic transformation, Ergodic Theory and Dynamical Systems, 2, 23, 10.1017/S014338570000955X

Hofbauer, 1982, Ergodic properties of variant measures for piecewise monotonic transformation, Mathematische Zeitschrift, XX, 119, 10.1007/BF01215004

Lasota, 1977, Invariant measures on topological spaces, Bolletino U.M.I., 14-B, 592

Lasota, 1973, On the existence of invariant measures for piecewise monotonic transformations, Transactions of the American Mathematical Society, 186, 481, 10.1090/S0002-9947-1973-0335758-1

Lasota, 1985

Li, 1978, Ergodic transformations from an interval into itself, Transactions of the American Mathematical Society, 235, 183, 10.1090/S0002-9947-1978-0457679-0

Li, 1982, No division implies chaos, Transactions of the American Mathematical Society, 273, 191, 10.1090/S0002-9947-1982-0664037-3

Melese, 1986, Unscrambling the concept of chaos through thick and thin, Quarterly Journal of Economics, 425

1987, 8, 331

Misiurewicz, 1980, Absolutely continuous measures for certain maps of an interval, Publications Mathematiques, 53, 17, 10.1007/BF02698686

Montrucchio, 1983, Some new techniques for modelling non-linear economic fluctuations: A brief survey

Pianigiani, 1979, Absolutely continuous invariant measures for the process xn+1 = Axn(1 − xn), Bolletino U.M.I., 16A, 374

Pianigiani, 1981, Conditionally invariant measure and ecponential decay, Journal of Mathematical Analysis and Application, 82, 75, 10.1016/0022-247X(81)90226-2

Pianigiani, 1979, Expanding maps on sets which are almost invariant: Decay and chaos, Transactions of the American Mathematical Society, 252, 351

Rao, 1973

Saari, 1985, Iterative price mechanisms, Econometrica, 53, 1117, 10.2307/1911014

Saari, 1978, Effective price mechanisms, Econometrica, 46, 1097, 10.2307/1911438

Ziemian, 1985, Almost sure invariance principle for some maps of an interval, Ergodic Theory and Dynamical Systems, 5, 625, 10.1017/S0143385700003217