釜江哲朗
生年月日  昭和161025   

(学歴)
昭和40 3月 東京大学理学部化学科卒業
昭和42 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 9月 理学博士(大阪大学2917号)の学位取得

(職歴)
昭和42 4月 文部省統計数理研究所研究員
昭和4312月 大阪大学基礎工学部助手
昭和47 4月 大阪市立大学理学部講師
昭和49 4月 大阪市立大学理学部助教授
昭和60 4月 大阪市立大学理学部教授

平成17 4月 松山大学経済学部教授

平成22 3  同上退職

平成24 7  大阪立大学(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. Japan 22-4 (1970) pp.567-578

[3] A topological invariant of substitution minimal sets, J. Math. Soc. Japan 24-2 (1972) pp.285-306

[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) Normal numbers and selection rules, Israel J.Math. 21-2-3 (1975) pp.101-110

[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. France 105 (1977) pp.369-387

[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. 31-3-4 (1978) pp.335-342

[17] (with C. Christol, M. Mend\`es-France and G. Rauzy) Suites alg\'ebriques, automatiques et substitutions, Bull. Soc. Math. France 108 (1980) pp.401-419

[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 France) Can one measure the temperature of a curve?, Archive for Rational Mechanics and Analysis 94-2 (1986) pp.155-163

[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. Dumont and S. Takahashi) Minimal cocycleswith scaling property and substitutions, Israel J. Math. 95 (1996) pp.393-410

[30] (with M. Mend\`es France) A continuous family of automata: the Ising automata, Annales Institut Henri Poincar\'e 64-3(1996) pp.349-372

[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 $\ell$ lettersEuropean J. Combinatorics 27 (2006), pp.125-137

[44] (with Hayato Takahashi) Statistical problems related to irrational rotations, Annals of the Institute of Statistical Mathematics vol. 58 (2006) pp.573-593

[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, Beechwood, Ohio, USA, 2006 ((all the results are included in [50])

[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 (20072)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.7993 (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.14001409 (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.427442

[77] (with Yu Zheng and Li Peng) Spectral properties of pattern sequences of general degrees, Nonlinearity 34 (2021) pp.34113428

[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)