Transformation invariant stochastic catastrophe theory

[1]  V. Araújo.  Random Dynamical Systems , 2006, math/0608162.

[2]  P. Uttley,et al.  Long term variability of Cyg X-1 II. The rms-flux relation , 2003, astro-ph/0311039.

[3]  H.L.J. van der Maas,et al.  Sudden Transitions in Attitudes , 2003 .

[4]  J. Dunn,et al.  Signed difference analysis: Theory and application , 2003 .

[5]  Takashi Torii,et al.  Stability analysis of black holes via a catastrophe theory and black hole thermodynamics in generalized theories of gravity , 2003 .

[6]  L. Gabora,et al.  Quantum morphogenesis: a variation on Thom's catastrophe theory. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  UCSD,et al.  Long term variability of Cygnus X-1. I. X-ray spectral-temporal correlations in the hard state , 2002, astro-ph/0202258.

[8]  Annemie Ploeger,et al.  Stochastic catastrophe analysis of switches in the perception of apparent motion , 2002, Psychonomic bulletin & review.

[9]  D. Wales.  A Microscopic Basis for the Global Appearance of Energy Landscapes , 2001, Science.

[10]  K. Newell,et al.  Time scales in motor learning and development. , 2001, Psychological review.

[11]  M. Montero,et al.  Black–Scholes option pricing within Itô and Stratonovich conventions , 2000, physics/0001040.

[12]  G. J. Jiang,et al.  Finite Sample Comparison of Alternative Estimators of Itô Diffusion Processes -- A Monte Carlo Study , 1999 .

[13]  M. Bilodeau,et al.  Theory of multivariate statistics , 1999 .

[14]  Danielle Florens,et al.  Estimation of the Diffusion Coefficient from Crossings , 1998 .

[15]  Hans Crauel,et al.  Additive Noise Destroys a Pitchfork Bifurcation , 1998 .

[16]  H.L.J. van der Maas,et al.  Detecting and modelling developmental transitions , 1998 .

[17]  Thomas Mikosch,et al.  Elementary stochastic calculus with finance in view , 1998 .

[18]  G. J. Jiang,et al.  A Nonparametric Approach to the Estimation of Diffusion Processes, With an Application to a Short-Term Interest Rate Model , 1997, Econometric Theory.

[19]  P.A.I. Hartelman,et al.  Stochastic Catastrophe Theory , 1997 .

[20]  P. Molenaar,et al.  5 – Catastrophe Theory of Stage Transitions in Metrical and Discrete Stochastic Systems , 1996 .

[21]  V. I. Arnolʹd.  Bifurcation theory and catastrophe theory , 1994 .

[22]  D. Florens-zmirou.  On estimating the diffusion coefficient from discrete observations , 1993, Journal of Applied Probability.

[23]  H.L.J. van der Maas,et al.  Stagewise cognitive development: an application of catastrophe theory. , 1992, Psychological review.

[24]  D. Florens-zmirou.  Statistics on crossings of discretized diffusions and local time , 1991 .

[25]  A. Bowman,et al.  A look at some data on the old faithful geyser , 1990 .

[26]  Leung Hk.  Stochastic aspects of nonequilibrium phase transitions. , 1990 .

[27]  Leung.  Stochastic aspects of nonequilibrium phase transitions. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[28]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[29]  S. Zacks,et al.  Applications of Catastrophe Theory for Statistical Modeling in the Biosciences , 1985 .

[30]  P. McClintock,et al.  Observation of a noise-induced phase transition with an analog simulator , 1983 .

[31]  I. Stewart,et al.  Catastrophe theory modeling in psychology. , 1983 .

[32]  L. Cobb,et al.  Estimation and Moment Recursion Relations for Multimodal Distributions of the Exponential Family , 1983 .

[33]  C. Gardiner.  Handbook of Stochastic Methods , 1983 .

[34]  S. Grossberg.  Mathematical Psychology and Psychophysiology , 1982 .

[35]  Robert Gilmore,et al.  Catastrophe Theory for Scientists and Engineers , 1981 .

[36]  N. G. van Kampen,et al.  Itô versus Stratonovich , 1981 .

[37]  L. Cobb.  Parameter estimation for the cusp catastrophe model , 1981 .

[38]  Bill Watson,et al.  Statistical catastrophe theory: An overview , 1980 .

[39]  Adi R. Bulsara,et al.  Stochastic processes with non-additive fluctuations , 1979 .

[40]  Adi R. Bulsara,et al.  Stochastic processes with non-additive fluctuations: II. Some applications of Itô and Stratonovich calculus , 1979 .

[41]  Robert Rosen,et al.  Catastrophe theory: Selected papers 1972–1977 , 1979 .

[42]  Loren Cobb,et al.  Stochastic catastrophe models and multimodal distributions , 1978 .

[43]  M. Deakin,et al.  Catastrophe theory. , 1977, Science.

[44]  René Thom,et al.  Structural stability and morphogenesis , 1977, Pattern Recognit..

[45]  N. Bershad,et al.  Random differential equations in science and engineering , 1975, Proceedings of the IEEE.

[46]  G. Sperling.  Binocular Vision: A Physical and a Neural Theory , 1970 .

[47]  R. L. Stratonovich.  A New Representation for Stochastic Integrals and Equations , 1966 .

[48]  E. Parzen.  On Estimation of a Probability Density Function and Mode , 1962 .