釜江哲朗
生年月日 昭和16年10月25日
（学歴）
昭和40年
3月 東京大学理学部化学科卒業
昭和42年
3月 東京大学大学院数物研究科数学専攻修士修了（理学修士）
昭和48年
9月 理学博士（大阪大学2917号）の学位取得
（職歴）
昭和42年 4月 文部省統計数理研究所研究員
昭和43年12月 大阪大学基礎工学部助手
昭和47年 4月
昭和49年 4月
昭和60年 4月
平成17年 4月 松山大学経済学部教授
平成22年３月 同上退職
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] ゲームの理論における対立と協力の関係の分析，数学通信11-4 (2007年2月)，pp.6-20
[52] Uniform Sets and Complexity
(Error Corrected), Discrete Mathematics 309 (2009),
pp.3738-3747 (doi:10.1016/j.disc.2008.10.001)
[53] (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)
[54]
Mixing properties of the
numeration systems coming from weighted substitutions, Ergodic
Theory and Dynamical Systems 30 (2009). pp.1111-1118 (doi:10.1017/S0143385709000510)
[55] (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)
[56] Uniform sets
and super-stationary sets over general alphabets, Ergodic
Theory and Dynamical Systems 31 (2011), pp.1445-1461
(doi:10.1017/S014338571000074X）
[57] (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)
[58] (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)
[59] Behavior of various
complexity functions, Theoretical Computer Science 420 (2012), pp.36-47
(doi:10.1016 /j.tcs.2011.11.1012)
[60] (with Yu-Mei XUE) Maximal pattern
complexity, dual system and pattern recognition (preprint)
[61] Super-stationary
structure of dynamical systems (preprint)