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 大阪市立大学理学部講師
昭和49年 4月 大阪市立大学理学部助教授
昭和60年 4月 大阪市立大学理学部教授
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
平成24年 7月 大阪公立大学(改称,令和5年)研究員
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) Stochastic
Inequalities 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 France) Van der Corput's
difference theorem, Israel J. Math.
[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, Theoretical
Computer Science 457
(2012), pp.166-173 (doi:10.1016/j.tcs.2012.06.033)
[61] Infinitesimal geometry
and superstationary factors of dynamical systems, Topology and its
Applications 160 (2013), pp.844-861 (doi:10.1016/j.topol.2013.02.010)
[62] (with Yu-Mei
XUE) Multifractal
analysis for a class of homogeneous Moran constructions, Chaos, Solitons
and Fractals 53 (2013), pp.52-59 (doi:10.1016/j.chaos.2013.05.006)
[63] (with STEVEN
WIDMER and LUCA Q. ZAMBONI) Abelian maximal pattern
complexity of words, Ergodic
Theory and Dynamical Systems 35 (2015), pp.142-151 (doi:10.1017/etds.2013.51)
[64] (with Yu-Mei XUE) An easy criterion
for randomness, Sankhya A 77-1 (2015), pp.126-152 (doi:10.1007/s13171-014-0054-3)
[65] (with
Yu-Mei XUE) Local time of self-affine
sets of Brownian motion type and the jigsaw puzzle problem, Journal of
Mathematical Analysis and Applications 419 (2014), pp.79–93 (doi:10.1016/j.jmaa.2014.04.018)
[66] (with Dong Han Kim) A
characterization of eventually periodicity,
Theoretical Computer Science 581 (2015), pp.1-8 (doi:10.1016/j.tcs.2015.02.039)
[67] (with Emilie Charlier, Svetlana Puzynina and
Luca Q. Zamboni) Infinite
Self-Shuffling Words, Journal
of Combinatorial Theory (Series A) 128 (2014) pp.1-40 (doi:10.1016/j.jcta.2014.07.008)
[68] (with Li PENG) Spectral measure of the
Thue-Morse sequence and the dynamical system and random walk related to it,
Ergodic Theory and Dynamical Systems 36 (2016), pp.1247-1259 (doi:10.1017/etds.2014.121)
[69] (with Li PENG) Hausdorff dimension of the
level sets of self-affine functions, Journal of
Mathematical Analysis and Applications 423 (2015), pp.1400–1409 (doi:10.1016/j.jmaa.2014.10.058)
[70]
(with Jun Luo and Bo TAN) A
Glueing Lemma for Iterated Function Systems, FRACTALS 23-2 (2015),
(doi:10.1142/S0218348X1550019X)
[71] Entropy estimate by a
randomness criterion, Ergodic Theory and Dynamical Systems 37-3
(2017), 802-823 (doi:10.1017/etds.2015.79)
[72] (with
Yu-Mei XUE) Local time of
self-affine sets of Brownian motion type –
revisited, Journal of Mathematical Analysis and Applications
437-1 (2016), 638-644
[73] (with
Yu-Mei XUE) H\"older equivalence
of homogeneous Moran sets, Publicationes Mathematicae Debrecen 89/1-2 (2016), pp.233-242 (doi:
10.5486/PMD.2016.7538)
[74]
(with Dong Han Kim and Yu-Mei Xue) Randomness criterion
\Sigma and its applications, Sankhya A 80-2 (2018),
pp.356-384
[75] (with Yu Zheng and Li Peng) Characterization of
noncorrelated pattern sequences and correlation dimensions, Discrete and Continuous Dynamical Systems 38-10 (2018) pp.5085-5103 (doi:10.3934/dcds.2018223)
[76] (with Xiaowen Wang) Selection rules preserving
normality, Israel J. Math. 232 (2019) pp.427–442
[77] (with Yu Zheng and Li Peng) Spectral properties
of pattern sequences of general degrees, Nonlinearity 34 (2021) pp.3411–3428
[78] (with S. Akiyama) Width deviation of convex polygons, Discrete & Computational Geometry (to appear)
[79] Dynamical
system at infinity, super-stationarity, uniform complexity and pattern
recognition (survey of the talk at RIMS (Kyoto University),
Oct.,2023)
[80] Expansions
by reciprocals of integers, rational approximations and absolutely normal
sequences (preprint)