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1993 Fiscal Year Final Research Report Summary

Dynamics and topologocal entropy

Research Project

Project/Area Number 04640192
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionScience University of Tokyo

Principal Investigator

TOGAWA Yoshio  Science University of Tokyo Faculty of Science and Technology, 理工学部, 助教授 (20112899)

Co-Investigator(Kenkyū-buntansha) SUYARI Hiroki  Science University of Tokyo Faculty of Science and Technology, 理工学部, 助手 (70246685)
WATANABE Noboru  Science University of Tokyo Faculty of Science and Technology, 理工学部, 講師 (70191781)
SHIMOIDA Hiroo  Science University of Tokyo Faculty of Science and Technology, 理工学部, 教授 (00112897)
MIYAZAWA Masakiyo  Science University of Tokyo Faculty of Science and Technology, 理工学部, 教授 (80110948)
OHYA Masanori  Science University of Tokyo Faculty of Science and Technology, 理工学部, 教授 (90112896)
Project Period (FY) 1992 – 1993
KeywordsEntropy Theory / Quantum Mechanics / Chaos / Topological Entropy / Mutual Entropy / Genetic Analysis / Queue Network / Rate conservation
Research Abstract

Entropy Theory has been begun bu Clausius, Boltzmann and Shannon, von Neumann constructed the mathematical framework of quantum mechanics and quantum entropy. Now many authors have made many reseraches in this field. This project could get the following results : (1) The dependencty of parameters of topological entropy are discussed in the dynamics which the solutions approaches to the boundary in chaos. (2) The conditions for the stability of the circuit for the image processing are obtained. (3) The error probabilities are formulated and the comparison fo the efficiency of optical modulations are discussed with mutual entropy. (4) The applications of the mutual entropy to the Gaussian channel are discussed. (5) The maximization the entropy in quantum system and the properties pf the fuzzy entropy are discussed. (6) For the sake of the alinment of genes we applied DP matcing and compared the usual methods. (7) Multiple alignment of genes are applied to the genetic analysis. (8) The stochastic processes are proposed to apply RGSMP (Reallocatable Generalized Semi-Markov Process) and its properties are investigated. (9) Under the mathematical assumption of the stationay distribution of RGSMP the state transition of RGSMP is discussed. (10) The moment in infinite channel queues are computed and discussed to the applications to burst arrival queues. (11) The discussions on rate conservation are summarized and some fundamental formulas of the stochastic processes are derived from the rate conservation.

  • Research Products

    (49 results)

All Other

All Publications (49 results)

  • [Publications] T.Matsumoto,H.Kobayashi and Y.Togawa: "Spatial versus temporal stability issues in image processing neuro chips" IEEE Trans.on Neural Networks. 3. 540-569 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya: "Quantum entropies and their maximization" Maximum Entropy and Bayesian Methods. 12. 189-194 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya and N.Watanabe: "Information dynamics and its application to Gaussian communication processes" Maxmum Entropy and Bayesian Methods. 12. 195-203 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya and N.Muraki: "Note on continuity of information rate" Illinois J.of Math. 36. 529-550 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya and Y.Uesaka: "Amino acids sequances and DP matching:A new methods for alignment" Journal of Information Sciences. 63. 139-151 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya,S.Miyazaki and K.Ogata: "On multiple alignment of genome sequences" Trans.of IEICE. E75-B. 453-457 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya and S.Naritsuka: "On fuzzy relative entropy" Open SyStems and Information Dynamics. 1. 397-408 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya,N.Muraki and D.Petz: "Entropies of general quantum states" Open SyStems and Information Dynamics. 1. 43-56 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] G.Yamazaki,K.Sigman and M.Miyazawa: "Moments in infinite channel queues" Computer and Mathematics with Applications. 24. 1-6 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa: "On the system queue length distributions of LCFS-P queues with arbitrary acceptance and restarting policies" J.Appl.Prob.29. 430-440 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa and G.Yamazaki: "Loss probability of a burst arrival finite queue with synchronized service" Probability in the Engineering and Informational Science. 5. 201-216 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa and G.Yamazaki: "Relationships in stationary jump processes with countable state space and their applications to queues" Stochastic Processes and their Applications. 43. 177-189 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa and Y.Takahashi: "Rate coservation principle for discrete time queues" Queueing Systems. 12. 215-229 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa and H.Tijms: "Comparison of two approximations for the loss probability in finite buffer queues" Probability in the Engineering and Informational Science. 7. 19-27 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Kino and M.Miyazawa: "The stationary work in system of a G/G/1 gradual input queue" J.Appl.Prob.30. 207-222 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Sakasegawa,M.Miyazawa and G.Yamazaki: "Evaluating the overflow probability using the infinite queue" Management Science. 39. 1238-1245 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa: "Insensitivity and product-form decomposability of Reallocatable GSMP" Adv.Appl.Prob.25. 415-437 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa and V.Schmidt: "On ladder height distributions of general risk processes" Annals of Applied Probability. 3. 763-776 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa and G.Yamazaki: "Note on batch arrival LCFS and related symmetric queues" OR letters. 43. 177-189 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Miyazawa: "Rate conservation laws:a survey" Queueing Systems. 15(発表予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 渡辺昇: "雑音のある通信路における光変調の効率について" 電子情報通信学会. J75-B-I. 744-750 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Watanabe: "Efficiency of optical modulations for channel with noise" (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya and H.Suyari: "The Effect of Squeezing in the Attenuation Process" 京都大学数理解析研講究録. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 須鎗弘樹: "量子マルコフ過程と情報力学" 京都大学数理解析研講究録. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ohya and D.Petz: Springer-Verlag, 335 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 宮沢政清: "確率と確率過程" 近代科学社, 199 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Masumoto, H.Kobayashi and Y.Togawa: "Spatial versus temporal stability issues in image processing neuro chips" IEEE Trans.on Neural Networks. Vol.3 No.4. 540-569 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya: "Quantum entropies and their maximizations" Maximum Entropy and Baysian Methods. Vol.12. 189-194 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya and N.Mruraki: "Note on continuity of information rate" Illinois J.of Math.Vol.36. 529-550 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya and Y.Uesaka: "Amino acids sequances and DP matching : A new methods for alignment" Journal of informaition Sciences. Vol.63. 139-151 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya, S.Miyazaki and K.Ogata: "On multiple alignment of genome sequences" Trans.of IEICE. Vol.E75-B, No.6. 453-457 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya and S.Naritsuka: "On fuzzy relative entropy" Open Systems and Information. Vol.1, No.3. 397-408 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya, N.Muraki and D.Petz: "Entropies of general quantum states" Open Systems and Information. Vol.1, No.1. 43-56 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] G.Yamazaki, K.Sigman and M.Miyazawa: "Moments in infinite channel queues" Computer and Mathematics with Applications. Vol.24. 1-6 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa: "On the system queue lengh distributions of LCFS-P queues with arbitrary acceptance and restarting policies" J.Appl.Prob. 29. 430-440 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa and G.Yamazaki: "Loss probability of a burst arrival finite queue with synchronized service" Probability in the Engineering and Informational Science. Vol.5. 201-216 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa and G.Yamazaki: "Relationships in stationary jump processes with countable state space and their applications to queues" Stochastic Processes and their Applications 43. No.2. 177-189 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa and Y.Takahashi: "Rate conservation principle for descrete time queues" Queueing Systems. 12. 215-229 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa and H.Tijms: "Comparison of two approximations for the loss probability in finite buffer queues" Probability in the Engineering and Informational Science. Vol.7. 19-27 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Kino and M.Miyazawa: "The stationary work in system of a G/G/1 gradual input queue" J.Appl.Prob. 30. 207-222 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Sakasegawa M.Miyazawa and G.Yamazaki: "Evaluating the overflow probability using the infinite queue" Management Science. 39. 1238-1245 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa: "Insensitivity and product-form decomposability of Reallocatable GSMP" Adv.Appl.Rrob. 25. 415-437 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa and V.Schmidt: "On ladder height distributions of general risk processes" Annals of Applied Probability. 3. 763-776 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa and G.Yamazaki: "Note on batch arrival LCFS and related symmetric queues" OR letters. 43. 177-189 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Miyazawa: "Rate conservation laws : a survey" Queueing Systems. 15(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Watanabe: "Efficiency of optical modulations for channel with noise" IEICE. Vol.J75-B-I, No.11. 744-750 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya and N.Watanabe: "Information dynamics and its application to Gaussian communication processes" Maximum Entropy and Baysian Methods. Vol.12. 195-203 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Ohya H.Suyari: "The Effect of Squeezing in the Attenuation Process" to appear.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Suyari: "Quantum Markov chains and Information dynamics" to appear.

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1995-03-27  

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