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M. Takeo, H. Ueda, Y. Okabe and M.
Matsuura, `` Waveform characteristics of deep
low-frequency earthquakes: time series
evolution based on the theory of the KM2O-Langevin equation,'' Geophysical Journal International, vol.
165, 2006, 87--107.
M.
Matsuura, `` Relations among the minimum norm
coefficients for
degenerate nonstationary flows,''
SIAM Journal on Matrix Analysis and Applications, vol. 27, No. 3, 2005,
654--664.
Y.
Okabe and M. Matsuura, ``Chaos and KM2O-Langevin equations,'' Bulletin
of Informatics and Cybernetics, vol. 37, 2005,
73--107.
Y.
Okabe and M. Matsuura, ``On non-linear
filtering problems for discrete time stochastic processes,'' J.
Math. Soc. Japan, vol. 57, No. 4, 2005, 1067-1076.
M.
Matsuura, `` An axiomatic approach to block
decompositions of rings,''
Journal of Algebra, vol. 284, 2005, 578--592.
M.
Matsuura, ``On a new fluctuation-dissipation
theorem
for degenerate stationary flows,'' Methodology and Computing in
Applied Probability,
vol. 5, No. 3, 2003, 369-387.
M.
Matsuura, `` A generalization of Moore-Penrose
biorthogonal systems,''
Electronic Journal of Linear Algebra, vol. 10, 2003, 146--154.
M.
Matsuura and Y. Okabe, ``On the theory of KM2O-Langevin equations for
non-stationary and degenerate flows,'' J. Math. Soc. Japan,
vol. 55 No. 2, 2003, 523-563.
M.
Matsuura, ``On the Craig-Sakamoto theorem and
Olkin's
determinantal result ,'' Linear Algebra Appl., vol. 364, 2003,
321-323.
Y.
Okabe, M. Matsuura and M. Klimek, ``On a method
for detecting certain signs
of stock market crashes by non-linear stationarity tests,'' Int.
J. of Pure and Appl. Math., vol. 3, No.4, 2002,
443-484.
M.
Klimek, E. Karlsson, M. Matsuura and Y. Okabe, ``A
geometric proof of the
fluctuation-dissipation
theorem for the KM2O-Langevin equation,'' Hokkaido Math. J., vol.
31, No.3, 2002, 615-628.
M.
Matsuura and Y. Okabe, ``On a non-linear
prediction
problem for one-dimensional stochastic processes,'' Japan. J.
of Math., vol. 27, No.1, 2001, 51-112.
Y.
Okabe and M. Matsuura, ``On
the theory of KM2O-Langevin equations for stationary flows (3):
extension theorem,'' Hokkaido Math. J., vol. 29, No.2, 2000,
369-382.
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