Teturo KAMAE
Nationality: Japanese
Date of Birth: 25 October, 1941
Curriculum
Vitae
Graduated from Department of Chemistry: Tokyo
University, March 1965
Master of Science in Mathematices: Tokyo University,
March 1967
ph. D. in Mathematics: Osaka University, Sept. 1973
Research Officer: Institute of Statistical Mathematics, 1967--1968
Research Assistant: Department of Applied Mathematics, Osaka University,
1968--1972
Lecturer: Department of Mathematics, Osaka City University, 1972--1974
Associate Professor: Department of Mathematics, Osaka City University,
1974--1985
Professor: Department of Mathematics, Osaka City University, 1985--2005
Professor: Faculty of Economics, Matsuyama
University, 2005—2010
List of
Papers
[1] Triangular inequalities
about Kolmogorov's complexity, Sugaku
21-3 (1969) pp.211-212 (in Japanese)
[2] Spectrum of a substitution
minimal sets, J. Math. Soc.
[3] A topological invariant of
substitution minimal sets, J. Math. Soc.
[4] On unrecognizable sets of
numbers by finite automata, Sugaku 25-4 (1973)
pp.365-367 (in Japanese)
[5] On Kolmogorov's
complexity and information, Osaka J. Math. 10-2 (1973) pp.305-307
[6] Subsequences of normal sequences,
Israel J. Math. 16-2 (1973) pp.121-149
[7] (with
B. Weiss)
[8] Normal numbers and ergodic theory, Proceedings of 3rd Japan-USSR Symposium on
Probability Theory, Lecture Notes in Mathematics 550, Springer-Verlag (1976) pp.253-269
[9] (with
U. Krengel and G. L. O'Brien) Stochasticinequalities
on partially ordered spaces, Ann. Probability5-6 (1977) pp.899-912
[10] (with J.
Coquet and M. Mend\`es France) La mesure spectrale de certaines suites
arithm\'etiques, Bull. Soc. Math.
[11] Spectral properties of
arithmetic functions, S\'eminaire Delange-Pisot-Poitou
12 (1977)
[12] Mutual singularity of
spectra of dynamical systems given by "sum of digits" to different
bases, Soc. Math.France Ast\'erisque 49 (1977) pp.109-114
[13] Infinite interval
exchange transformation with positive entropy, S\'eminaire de Probabilites II,
Universit\'e de Rennes (1977)
[14] (with
U. Krengel) Stochastic partial ordering,Ann.
Probability 6-6 (1978) pp.1044-1049
[15] Sum of digits to different
bases and mutual singularity of their spectral measures, Osaka J. Math. 15
(1978) pp.569-574
[16] (with M. Mend\`es
[17] (with C. Christol, M. Mend\`es-France and G. Rauzy)
Suites alg\'ebriques, automatiques
et substitutions, Bull. Soc. Math.
[18] A simple proof of the ergodic theorem using nonstandard analysis, Israel J. Math.
42-4 (1982) pp.284-290
[19] Information of relative pairwise comparisons, J. Math. Analysis \& Applications
97-2 (1983) pp.355-373
[20] A characterization of
weakly wondering sequences for nonsingular transformations, Commentarii
Math. Sancti Pauli 32-1 (1983) pp.55-59
[21] (with
M. Fukui) Information polynomials of graphs, Number Theory and Combinatorics, World Scientific Publishing Co. (1985)
pp.97-104
[22] (with
Y. Ito and I. Shiokawa) Point spectrum and Hausdorff
dimension, Number Theory and Combinatorics, World
Scientific Publishing Co.(1985) pp.209-227
[23] (with Y. Dupain and M. Mend\`es
[24] A characterization of self-affine
functions, Japan J. Applied Math. 3-2 (1986) pp.271-280
[25] Cyclic extensions of
odometer transformations and spectral disjointness,
Israel J. Math. 59-1 (1987) pp.41-63
[26] (with
M. Keane) A class of deterministic self-affine processes, Japan J. Applied
Math. 7-2 (1990) pp.183-195
[27] Number theoretic problems
involving two independent bases, Number Theory and Criptography
(ed. J. H. Loxton), London Math. Soc. Lecture Note Series 154, Cambridge
Univ. Press, 1990, pp.196-203
[28] (with
T. Bedford) Stieltjes integration and stochastic
calculus with respect to self-affine functions, Japan J.Industrial
\& Applied Math. 8-3 (1991) pp.445-459
[29] (with
J-M.
[30] (with M. Mend\`es
[31] Multiple search games with
nonmovable hyder, Nova J.
Mathematics, Game Theory and Algebra 6-1 (1996) pp.45-54
[32] (with
M. Keane) A simple proof of the ratio ergodic
theorem, Osaka J. Math. 34 (1997) pp.653-657
[33] Linear expansions, strictly
ergodic homogeneous cocycles and fractals, Israel J. Math. 106 (1998)
pp.313-337
[34] (with
M. Dateyama) On direct sum decomposition of integers
and Y. Ito's conjecture, Tokyo J. Math. 21-2 (1998), pp.433-440
[35] (with Jun-ichi Tamura \& Zhi-Ying Wen) Hankel
determinants for the Fibonacci word and Pad\'e approximation, Acta Arith. LXXXIX.2 (1999),
pp.123-161
[36] (with
Nertila Gjini) Coboundary on colored tiling space as Rauzy
fractal, Indagationes Mathematicae
10-3 (1999), pp.407-421
[37] Stochastic
analysis based on deterministic Brownian motion, Israel J. Math. 125 (2001), pp.317-346
[38] (with
J-P. Allouche, J-M. Deshouillers and T. Koyanagi) Automata, algebraicity and distribution of sequences of powers, Ann. Inst. Fourier 51-3 (2001),
pp.687-705
[39] (with Luca Zamboni) Sequence entropy and the
maximal pattern complexity of infinite words, Ergodic
Theory and Dynamical
Systems 22-4 (2002), pp.1191-1199
[40] (with
Luca Zamboni) Maximal pattern complexity
for discrete systems, Ergodic Theory and Dynamical
Systems 22-4 (2002), pp.1201-1214
[41] (with
Xue Yu-Mei) Two dimensional word with 2k
maximal pattern complexity, Osaka J. Math. 41 (2004), pp.257-265
[42] Numeration systems,
fractals and stochastic processes, Israel J. Math. 149 (2005), pp.87-135 (all
the results are included in [50])
[43] (with Rao
Hui) Maximal pattern
complexity over $\ell$ letters，European J. Combinatorics 27 (2006),
pp.125-137
[44] (with
Hayato Takahashi) Statistical problems related to irrational rotations,
Annals of the
[45] (with
Rao Hui and Xue Yu-Mei) Maximal pattern complexity of
2-dimensional words, Theoretical Computer Science 359 (2006), pp.15-27
[46] Maximal pattern complexity
as topological invariants
(preprint)
[47] (with
Nertila Gjini, Tan Bo and Xue Yu-Mei) Maximal pattern complexity
for Toeplitz words, Ergodic Theory and Dynamical
Systems 26 (2006), pp. 1-14
[48] (with Hui
RAO, Bo TAN and Yu-Mei XUE) Language Structure of
Pattern Sturmian Words, Discrete Mathematics 306 (2006), pp. 1651-1668
[49] Numeration systems as
dynamical systems –
Introduction, in Dynamics & Stochastics,
Institute of Mathematical Statistics Lecture Notes –
Monograph Series vol. 48,
[50] Numeration systems as
dynamical systems (new version of numeration systems) (preprint)
[51] Uniform Sets and Complexity
(Error Corrected), Discrete Mathematics 309 (2009),
pp.3738-3747 (doi:10.1016/j.disc.2008.10.001)
[52] (with Hui RAO, Bo TAN and Yu-Mei XUE) Super-stationary set, Subword problem and the Complexity (Error Corrected), Discrete Mathematics 309 (2009), pp.4417-4427 (doi:10.1016/j.disc.2009.02.001)
[53]
Mixing properties of the numeration
systems coming from weighted substitutions, Ergodic
Theory and Dynamical Systems 30 (2009). pp.1111-1118 (doi:10.1017/S0143385709000510)
[54] (with Yu-Mei
XUE) Partitions by
congruent sets and optimal positions, Ergodic
Theory and Dynamical Systems 31 (2011), pp.613-629 (doi:10.1017/S0143385709001175)
[55] Uniform sets
and super-stationary sets over general alphabets, Ergodic
Theory and Dynamical Systems 31 (2011), pp.1445-1461
(doi:10.1017/S014338571000074X）
[56] (with
Pavel V. Salimov) On maximal pattern complexity
of some automatic words, Ergodic Theory and
Dynamical Systems 31 (2011), pp.1463-1470 (doi:10.1017/S0143385710000453)
[57] (with
S. V. Avgustinovich, A. E. Frid
and P. V. Salimov) Infinite permutations of lowest
maximal pattern complexity, Theoretical Computer Science 412 (2011),
pp.2911-2921 (doi:10.1016/j.tcs.2010.12.062)
[58] Behavior of various
complexity functions, Theoretical Computer Science 420 (2012), pp.36-47
(doi:10.1016 /j.tcs.2011.11.1012)
[59] (with
Yu-Mei XUE) Maximal
pattern complexity, dual system and pattern recognition (preprint)