











The scope of activities of Mathematics and Physics Group spans all aspects of research and education in the fields of mathematical sciences. Our current researches in the field of mathematics are devoted to various subjects and problems arising in both pure and applied mathematics: nonassociative algebras, neural networks, unimodality problems, algebraic combinatorics, spherical functions, homotopy theory, and arithmetic theory.
In the fields of physics, theoretical research is performed in manybody theories, nuclear physics, quantum gravity and quantum mechanics of constrain system. There has been also a project to develop educational textbooks and software for mechanics, electromagnetism and quantum mechanics. The research areas assigned to each coresearcher are as follows:
Prof. H. Sagawa 
studies the physics of the manybody system of including atomic nuclei, microclusters and quantum information theory. 
Prof. A. Fujitsu  studies the numerical superstring and quantum gravity. 
Prof. M. Honma  researches the microscopic structures and dynamics of the nuclei by the algebraic methods and geometrical models performing the quantitative analysis by the largescale numeric calculations. 
Prof. K. Shimizu  advances the traditional quantum theory and creates the geometrical theory of quantum gravity. 
Prof. M. Yamagami  studies the physics of atomic nuclei under the extreme condition based on the density functional theory. 
Prof. N. Kamiya  studies the theory of nonassociative algebras and a structure theory of algebras from triple systems. 
Prof. T. Watanabe  generalizes the unimodality problems of 1dimensional infinitely divisible distributions to multidimensional cases in the use of analytical methods. 
Prof. K. Asai  researches combinatorial identities for generalized Young tableaux, and also, several generating functions arising from algebraic combinatorics. 
Prof. T. Maeda  studies arithmetic of elliptic curves and modular forms and their applications. 
Prof. S. Watanabe  studies geometrical interpretations of generating functions for spherical functions on homogeneous spaces. 
Prof. H. Kihara  studies homotopy theory and its applications to various areas of mathematics. 
N.Kamiya, D.Mondoc, and S.Okubo. A review on δ structurable algebras. Banach Center Publications, 93:5967, 2011.
In this article, we study a characterization of antistructurable algebras. Furthermore, A relationship of FreudenthalKantor triple systems.
N.Kamiya, D.Mondoc, and S.Okubo. A characterization of (1,1)FreudenthalKantor triple systems. Glasgow J.Math., 53:727738, 2011.
In this paper, we give a characterization of FreudenthalKantor triple systems, in particular, describe to balanced property of their triple systems. Moreover, a relationship of quadratic algebras.
Hiroshi Kihara. Minimal fibrations and the organizing theorem of simplicial homotopy theory. Ricerche di Matematica, page in press, 2012.
Quillen showed that simplicial sets form a model category (with appropriate choices of three classes of morphisms), which organized the homotopy theory of simplicial sets. His proof is very difficult and uses even the classication theory of principal bundles. Thus, GoerssJardine appealed to topological methods for the verification. In this paper we give a new proof of this organizing theorem of simplicial homotopy theory which is elementary in the sense that it does not use the classifying theory of principal bundles or appeal to topological methods.
Hiroshi KIHARA and Nobuyuki ODA. Homotopical presentations and calculations of algebraic K0groups for rings of continuous functions. Publications of the Research Institute for Mathematical Sciences, 48(1):6582, March 2012.
Let K0(CF(X)) = K0 ?CF(X) be the K0group of the ring CF(X) of Fvalued continuous functions on a topological space X, where F is the field of real or complex numbers or the quaternion algebra. It is known that the functor K0 ? CF is representable CF is representable on the category of compact Hausdorff spaces. It is a homotopy functor which is notrepresentable on the category of topological spaces. Making use of the compactlybounded homotopy set, which is a variant of the homotopy set, the functor K0 ? CF has a homotopical presentation by the product of the ring of integers Z and the infinite Grassmannian G1(F). This presentation makes it possible to calculate the groups K0(CF(X)) explicitly for some infinite dimensional complexes X by use of the results of H. Miller on Sullivan conjecture.
Takashi Yoshida Héléne Mao Toshitaka Kajino Takaharu Otsuka Toshio Suzuki, Michio Honma. Spindependent nuclear weak processes and nucleosynthesis in stars. Progress in Particle and Nuclear Physics, 66:385 389, 2011.
Spin dependent nuclear weak processes and nucleosynthesis in stars are investigated based on recent advances in shell model studies of stable and unstable exotic nuclei. Three topics on (1) neutrinonucleus reactions in supernova explosions and nucleosynthesis of light elements as well as Mn, (2) electron capture reaction rates on Ni and Co isotopes at high densities and temperatures in the corecollapse process, and (3) new Βdecay halflives of N=126 isotones obtained by including both the GamowTeller and the firstforbidden transitions, and the effects on the element abundance in the rprocess at the third peak region (A ˜ 195), are studied with the use of new shell model Hamiltonians.
N. Paar, T. Suzuki, M. Honma, T. Marketin, and D. Vretenar. Uncertainties in modeling lowenergy neutrinoinduced reactions on irongroup nuclei. Phys. Rev. C, 84:047305/14, 2011.
Chargedcurrent neutrinonucleus cross sections for 54,56Fe and 58,60Ni are calculated and compared using frameworks based on relativistic and Skyrme energydensity functionals and on the shell model. The current theoretical uncertainties in modeling neutrinonucleus cross sections are assessed in relation to the predicted GamowTeller transition strength and available data, to multipole decomposition of the cross sections, and to cross sections averaged over the Michel flux and FermiDirac distribution. By employing different microscopic approaches and models, the decayatrest (DAR) neutrino56Fe cross section and its theoretical uncertainty are estimated to be σ_{t}h = (258 ± 57) × 10 − 42 cm^{2}, in very good agreement with experimental value σ_{exp} = (258 ± 108 ± 43) × 10 − 42 cm^{2}.
Toshio Suzuki1, Michio Honma, Héléne Mao, Takaharu Otsuka, and Toshitaka Kajino. Evaluation of electron capture reaction rates in Ni isotopes in stellar environments. Phys. Rev. C, 83:044619/17, 2011.
Electron capture rates in Ni isotopes are studied in stellar environments, that is, at high densities and high temperatures during the corecollapse and postbounce explosive nucleosynthesis in supernovae. Reaction rates in 58Ni and 60Ni, as well as in 56Ni, 62Ni, and 64Ni, are evaluated by shellmodel calculations with the use of a new shellmodel Hamiltonian in the fp shell, GXPF1J. While the previous shellmodel calculations failed to reproduce the measured peaks of GamowTeller strength in 58Ni and 60Ni, the present new Hamiltonian is found to reproduce them very well, as well as the capture rates obtained from the observed strengths. Strengths and energies of the GamowTeller transitions in 56Ni, 62Ni, and 64Ni are also found to be consistent with the observations.
A. N. Deacon, D. Steppenbeck, S. Zhu, S. J. Freeman, R. V. F. Janssens, M. P. Carpenter, B. Fornal, M. Honma, B. P. Kay, F. G. Kondev, J. Kozemczak, A. Larabee, T. Lauritsen, C. J. Lister, A. P. Robinson, D. Seweryniak, J. F. Smith, Y. Sun, X. Wang, F. R. Xu, and Y.C. Yang. Singleparticle and collective structures in ^{55}Cr and ^{55}V. Phys. Rev. C, 83:064305/115, 2011.
Excited states in 55V and 55Cr have been populated via pn and 2n evaporation channels, respectively, following the fusion of a 48Ca beam at 172 MeV with a 9Be target. Level schemes have been deduced for the two nuclides to excitation energies of 7467 (55V) and 12226 keV (55Cr), with spins of 27/2+ and 33/2+, respectively. Negativeparity states are compared with shellmodel calculations using three different effective interactions in the full fp model space. Negativeparity levels of 55Cr are explained in terms of singleparticle fpshell configurations outside N=28 and N=32 cores. Positiveparity states in both isotopes show evidence for the involvement of neutron g9/2 configurations. In the case of 55Cr, a quasirotational structure based on the 1/2+[440] Nilsson orbital is observed up to the terminating state. In 55V, positiveparity states do not exhibit welldeveloped collective features, and the observation of octupole decays is an indication of their importance in transitions from neutron g9/2 configurations to the fp shell. Experimental results are compared with the predictions of a traditional shell model, the projected shell model, and totalRouthiansurface calculations.
T. Adachi1, Y. Fujita1, A. D. Bacher, G. P. A. Berg, T. Black, D. De Frenne, C. C. Foster, H. Fujita1, K. Fujita, K. Hatanaka, M. Honma, E. Jacobs, J. Jänecke, K. Kanzaki, K. Katori1, K. Nakanishi, A. Negret, T. Otsuka, L. Popescu, D. A. Roberts, Y. Sakemi1, Y. Shimbara1, Y. Shimizu, E. J. Stephenson, Y. Tameshige, A. Tamii, M. Uchida, H. Ueno, T. Yamanaka, M. Yosoi and K. O. Zell. Highresolution study of GamowTeller transitions via the ^{54}Fe(^{3}He,t)^{54}Co reaction Phys. Rev. C, 85:024308/115, 2012.
The GamowTeller transition strengths, B(GT), in pfshell nuclei are of interest in nuclear physics as well as in nuclear astrophysics. A highresolution (3He,t) chargeexchange (CE) reaction was performed on the T_{z} = +1 nucleus ^{54}Fe at 0°and at an intermediate incident energy of 140 MeV/nucleon for the study of precise GT transition strengths to the final T_{z} = 0 nucleus ^{54}Co. By applying dispersion matching techniques for a highquality ^{3}He beam at RCNP, an energy resolution of 21 keV and an angular resolution of 5 mr were realized. The bumplike structure of the GT resonance observed in lowresolution CE reactions at around the excitation energy (Ex) of 10 MeV was resolved in individual L = 0, GT states. Excitation strengths were obtained for these GT states. If the R2 value that is defined by the ratio between GT and Fermi unit cross sections is known, the B(GT) values can be determined from the excitation strengths. For the derivation of the R2 value, the merged analysis combining the GT strength distribution from the ^{54}Fe(^{3}He,t)^{54}Co study and the halflife from a 54Ni fi decay was used, where T = 1 isospin symmetry for A = 54 isobars was assumed. The GT strengths were compared with a shellmodel calculation using the GXPF1 interaction. The final GT states can have the isospin values T = 0, 1, and 2. The isospin T of each GT state observed in the 8:3Ex12:0 MeV region of the ^{54}Fe(^{3}He,t)^{54}Co spectrum was identified by comparing the excitation strength with that of corresponding M1 state observed in a ^{54}Fe(p,p0)^{54}Fe experiment. The B(GT) values of the states identified to have T =2, in particular, are of importance for the calculation of the electron capture rates at the corecollapse stage of presupernovae. The B(GT) strengths were further compared with B(M1) strengths measured in the ^{54}Fe(e,e′)^{54}Fe reaction. In the M1 excitation using an electromagnetic probe, isoscalar (IS) and isovector (IV) orbital type operators are active in addition to the IV spin type operator that mediates the GT transitions. The contributions of the IS and IV orbital terms were studied by calculating the ratio of the strengths of analogous M1 and GT transitions.
K. Hagino and H. Sagawa. Pairing correlations and oddeven staggering in reaction cross sections of weakly bound nuclei. Phys. Rev. C, pages 014303/pp.18, 2012.
We investigate the oddeven staggering (OES) in reaction cross sections of weakly bound nuclei with a Glauber theory, taking into account the pairing correlation with the HartreeFockBogoliubov (HFB) method. We first discuss the pairing gap in extremely weakly bound nuclei and show that the pairing gap persists in the limit of zero separation energy limit even for single particle orbits with the orbital angular momenta l = 0 and l = 1. antihalo effect. We then introduce the OES parameter defined as the second derivative of reaction cross sections with respect to the mass number, and clarify the relation between the magnitude of OES and the neutron separation energy. We find that the OES parameter increases considerably in the zero separation energy limit for l = 0 and l = 1 singleparticle states, while no increase is found for higher angular momentum orbits with e.g., l = 3. We point out that the increase of OES parameter is also seen in the experimental reaction cross sections for Ne isotopes, which is well accounted for by our calculations.
K. Hagino and H. Sagawa. Oddeven staggering of reaction cross sections for 22;23;24O isotopes. Phys. Rev. C, pages 037604 /pp. 12, 2012.
The interaction cross sections of ^{22,23}O nuclei at 900 MeV/nucleon have been measured recently by Kanungo et al.. We show that the oddeven staggering parameter of interaction cross sections deduced from these new data agrees well with the theoretical systematics expected for the neutron separation energy of S_{n}=2.74±0.120 MeV for ^{23}O. We also discuss briefly the energy dependence of the staggering parameter.
P. Mëller, W.D. Myers, H. Sagawa, and S. Yoshida. A new finiterange droplet mass model and associated EOS parameters. . Rev. Lett., pages0 52501/pp.14, 2012.
The parameters in the macroscopic droplet part of the FRDM model are related to the properties of the EOS. In the FRDM (1992) version, published in 1995, the optimization of the model parameters was not sufficiently sensitive to variations of the compressibility constant K and the densitysymmetry constant L to allow their determination. They were therefore fixed to K = 240 MeV and 0, respectively. In the new, more accurate FRDM2011a adjustment of the model constants to new and more accurate experimental masses allow the determination of the densitysymmetry constant L together with the symmetryenergy constant J . Our results are J = 32.5 MeV and L = 70 ± 15 MeV and a considerably improved massmodel accuracy σ = 0.5700 MeV, with respect to AME2003 for FRDM2011a, compared to σ = 0.669 MeV for FRDM (1992) (with respect to the 1989 experimental data set). These asymmetryparameter values are compatible with values obtained from other considerations.
WenHui Long, Bao Yuan Sun, Kouichi Hagino, and Hiroyuki Sagawa. Hyperon effect in covariant density functional theory with recent astrophysical observations. Phys. Rev. C, pages 025806/pp.17, 2012.
Motivated by recent observational data which show strong constraints on the pressure of cold matter and the massradius relations of neutron stars, the equations of state with the inclusion of strangenessbearing of state with the inclusion of strangenessbearing Λhyperons and the corresponding hyperons and the corresponding properties of neutron stars are studied, based on the covariant density functional (CDF) theory, specifically the density dependent relativistic HartreeFock (DDRHF) theory and the relativistic mean field theory. The inclusion of theory and the relativistic mean field theory. The inclusion of Λhyperons in neutron hyperons in neutron stars shows substantial effects in softening the equation of state. Because of the extra suppression effect originated from the Fock channel on the equation of state and the symmetry energy, large reductions on both the star mass and radius are predicted by the DDRHF calculations. It is also found that the massradius relations of neutron stars with of neutron stars with Λhyperons determined by DDRHF with PKA1 are in fairly good agreement with the observational data where a relatively small neutron stars radius is required. Therefore, it is expected the exotic degrees of freedom such as the strangenessbearing structure may appear and play significant roles inside the neutron stars, which is supported further by the systematical investigations on the consistence between the maximum neutron star mass and consistence between the maximum neutron star mass and Λcoupling strength.
Oishi T, K. Hagino, and H. Sagawa. Effect of protonproton Coulomb repulsion on soft dipole excitations of light protonrich nuclei. Phys. Rev. C, pages 057301/pp.13, 2011.
We perform threebody model calculations for soft dipole excitations of the protonrich Borromean nucleus ^{17}Ne. To this end, we assume that ^{17}Ne takes the ^{15}O+p+p structure, in which the two valence protons are excited from the 0^{+} ground state configuration to 1^{−} continuum states. We employ a densitydependent contact force for the nuclear part of the pairing interaction, and discretize the continuum states with the box boundary condition. We show by explicitly including the Coulomb interaction between the valence protons that the Coulomb repulsion does not significantly alter the E1 strength distribution. We point out that the effect of the Coulomb repulsion in fact can be well simulated by renormalizing the nuclear pairing interaction.
Hongliang Liu C. A. Bertulani and H. Sagawa. Global investigation of oddeven mass differences and radii with isospin dependent pairing interactions. Phys. Rev. C, pages 014321/pp.18, 2012.
The neutron and proton oddeven mass differences are systematically studied with HartreeFock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction. The strength of pairing interactions is determined to reproduce empirical oddeven mass differences in a wide region of mass table. By using the optimal parameter sets for proton and neutrons, we perform global HF+BCS calculations of nuclei and compare with experimental data. The importance of isospin dependence of the pairing interaction is singled out for odd even mass differences in medium and heavy isotopes. The proton and neutron radii are studied systematically by using the same model.
K. Hagino and H. Sagawa. Evidence of a pairing antihalo effect in the oddeven staggering in reaction cross sections of weakly bound nuclei. Phys. Rev. C, pages 011303/pp.14, 2011.
We investigate the spatial extension of weakly bound Ne and C isotopes by taking into account the pairing correlation with the HartreeFockBogoliubov (HFB) method and a 3body model, respectively. We show that the oddeven staggering in the reaction cross sections of ^{30,31,32}Ne and ^{14,15,16}C are successfully reproduced, and thus the staggering can be attributed to the pairing antihalo effect. A correlation between a oneneutron separation energy and the antihalo effect is demonstrated for s and pwaves using the HFB wave functions.
C.L. Bai, H.Q. Zhang, H. Sagawa, X.Z. Zhang, G. Colë, and F.R.Xu. Spinisospin excitations as quantitative constraints for the tensor force. Phys. Rev. C, pages 054316/pp.15, 2011.
GamowTeller (GT) and chargeexchange SpinDipole (SD) excitation energies in ^{90}Zr and ^{208}Pb are systematically studied to determine the appropriate magnitude of the tensor terms of the Skyrme interactions. We have found that the peak energies of GamowTeller (GT) and SpinDipole (SD) excitations are sensitive to the adopted strengths of the tripleteven and tripletodd tensor interactions. Especially the 1^{−} SD state plays a crucial role to constrain the tripleteven part, while the tripletodd part is related rather to the GT peaks. Among the 36 TIJ parameter sets that include non perturbatively the tensor terms, the three sets T21, T32 and T43 give reasonable results for the peak energies in comparison with the experimental data. The sign and magnitude of the tensor terms are also discussed when these terms are added to the existing Skyrme interactions SGII and SLy5. The tripleteven strength can be constrained in a narrow range by using the available experimental data, while further empirical data are needed to set a constraint on the tripletodd term.
C.L. Bai, H. Sagawa, G. Colë, H.Q. Zhang, and X.Z. Zhang. Spindipole excitations in ^{16}O and tensor correlations. Phys. Rev. C, pages 044329/pp.16, 2011.
The multipole dependent effects of tensor correlations on the chargeexchange SpinDipole (SD) in the light nuclei ^{16}O are studied by HartreeFock(HF) plus RandomPhaseApproximation(RPA) calculations based on Skyrme interaction. The our choice of tensor terms produce hardening of 0^{−} and 2^{−} state, while a softening state, while a softening of 1^{−} states which improves the agreement with experiment. These effects can be qualitatively understood by the same formulas used in medium and heavy nuclei. The summed strength of RPA with and without tensor force and the unperturbed are studied.
S. Watanabe. Jacobi polynomials and associated reproducing kernel Hilbert spaces. Journal of Mathematical analysis and applications, 389:108 118, 2012.
This paper deals with a generating function of the Jacobi polynomials that satisfies the following properties (I) and (II). (I) The generating function is the kernel of an integral operator that is unitary. (II) The image of the unitary operator is a reproducing kernel Hilbert space of analytic functions and the reproducing kernel is given as a special value of the generating function above. The purpose of this paper is to give a generating function that satisfies (I) and (II).
Takao Maeda and Takafumi Hayashi. Parameterization of Perfect Arrays of Real Numbers. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E94A(11):21782187, 2011.
A perfect array is an array for which the autocorrelation function is impulsive. A parameterization of perfect arrays of real numbers is presented. Perfect arrays are represented by trigonometric functions. Three formulae are obtained according to the parities of the size of the array. Examples corresponding to each formula are shown. In the case of 6 shown. In the case of 6 × 6 arrays, the existence of a set of perfect arrays having integer components is shown.
Takao Maeda and Takafumi Hayashi. Parameterization of Perfect Sequences of Real Numbers. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E94A(6):14011407, 2011.
A perfect sequence is a sequence having an impulsive autocorrelation function. Perfect sequences have several applications, such as CDMA, ultrasonic imaging, and position control. A parameterization of a perfect sequence is presented in the present paper. We treat a set of perfect sequences as a zero set of quadratic equations and prove a decomposition law of perfect sequences. The decomposition law reduces the problem of the parameterization of perfect sequences to the problem of the parameterization of quasiperfect sequences and the parameterization of perfect sequences of short length. The parameterization of perfect sequences for simple cases and quasiperfect sequences should be helpful in obtaining a parameterization of perfect sequences of arbitrary length. According to our theorem, perfect sequences can be represented by a sum of trigonometric functions.
T. Watanabe. Asymptotic properties of Fourier transforms of bdecomposable distributions. J. Fourier Analysis and Application, to appear, page 25 pages, 2012.
ErdosKahane numbers (EK numbers) are introduced in relation to the decay of the Fourier transforms of nonsymmetric Bernoulli convolutions. The PV, PS, and EK numbers are characterized by using the function H_{b}(u) of a certain trigonometric series. The relations between those numbers and the asymptotic properties of the Fourier transforms of full bdecomposable distributions are shown. A sufficient condition for the absolute continuity of onedimensional bdecomposable distributions is given. As an application, an open problem on the uniform decay of the Fourier transforms of refinable distributions, raised by Dai, Feng, and Wang (2007), is solved. Finally, temporal evolution on continuity properties of distributions of some Levy processes is discussed.
M. Yamagami, J. Margueron, H. Sagawa, and K. Hagino. Local energy density functional for proton pairing correlations. RIKEN Accel. Prog. Rep. 45, page in press, 2012.
We investigated the effect of Coulomb force in proton pairing correlation within the framework of the local energy density functional (EDF). By taking into account the reduction effect for proton pairing correlation, we proposed two renormalization schemes; 1) reduction of proton pairing strength, and/or 2) scaling of the linear isovectordensity dependence in the pairing channel of EDF. We examined the accuracy of the renormalization schemes by analyzing all available experimental pairing gaps.
M. Yamagami, J. Margueron, H. Sagawa, and K. Hagino. Density dependence of pairing correlations determined by global fitting. RIKEN Accel. Prog. Rep. 44, page 37, 2011.
The local energy density functional (EDF) for description of pairing correlation in neutronrich unstable nuclei is considered. By analyzing available experimental pairing gaps in mediummass number region around ^{156}Dy, we pointed out the necessity of both the linear and quadratic term of the isovectordensity terms of EDF in addition to the usual isoscalardensity term.
H. Sagawa and K. Hagino. Pairing correlations and antihalo effect in weakly bound nuclei. In Proc. of YKIS2011 Symposium on Frontier Issues in Physics of Exotic Nuclei, pages 16, 2011.
We study the oddeven staggering (OES) in reaction cross sections of weakly bound nuclei with a Glauber theory, taking into account the pairing correlation in the HartreeFockBogoliubov (HFB) method. We show that the pairing gap persists in the limit of zero separation energy limit even for single particle orbits with the orbital angular momenta l = 0 and l = 1. We introduce the OES parameter defined as the second derivative of reaction cross sections with respect to the mass number, and clarify the relation between the magnitude of OES and the neutron separation energy. We find that the OES parameter increases considerably in the zero separation energy limit for l = 0 and l = 1 singleparticle states, while no increase is found for higher angular momentum orbits with e.g., l = 3. We point out that the increase of OES parameter is also seen in the experimental reaction cross sections for Ne isotopes, which is well accounted for by our calculations.
Takao Maeda, Shigeru Kanemoto, and Takafumi Hayashi. Pulse Compression for Radar using ZeroCorrelation Zone Sequence Sets. In Proceedings of 2011 IEEE International Geoscience & Remote Sensing Symposium, pages 34403443. IEEE, Julyl 2011.
The present paper introduces a new approach to the application of sequence set with a zerocorrelation zone to the pulse compression of radar. The proposed sequence set has a zerocorrelation zone for both periodic and aperiodic correlation functions. The sequences of the proposed scheme can be constructed from a pair of Hadamard matrices of the orders n_{0} and n_{1}. The constructed sequence set consists of n_{0}n_{1} ternary sequences, each of length n_{0}^{(m+2)} (n_{1} + Δ;), for a nonnegative integer m and Δ ≥ 2. The zerocorrelation zone of the proposed sequences is γ ≤ n_{0}^{m+1} − 1, where γ is the phase shift. The intersubset zerocorrelation zone of the proposed sequences is γ ≤ Λ n_{0}^{m+1}, where γ is the phase shift. The proposed scheme can improve radars using the zerocorrelation property of the sequence set.
Takafumi Hayashi, Takao Maeda, Shigeru Kanemoto, and Shinya Matsufuji. A novel Construction of ZeroCorrelation Zone Sequence Set with Wide InterSubset ZeroCorrelation Zone. In Proceedings of the Fifth International Workshop on Sinal Design and Its Applications in Communications, pages 2528. IEEE, October 2011.
The present paper introduces a new approach to the construction of a sequence set with a zerocorrelation zone (ZCZ). The proposed sequence construction generates a ZCZ sequence set from a perfect sequence pair or a single perfect sequence. The member size of the proposed sequence set approaches the theoretical bound. The proposed sequence set consists of L_{g} subsets, where a Hadamard matrix of order L_{g} is used in the sequence construction. The correlation function of the sequences of a pair of different subsets, intersubset correlation function, has a ZCZ with a width that is (Λ + 1) times that of the intrasubset correlation function for a positive integer Λ ≥ 1. The wide intersubset zerocorrelation improves the performance of the applications of the proposed sequence set.
Kazuto Asai. Ramified paths, idealtableaux, and JacobiTruditype sdeterminants. preprint, 2011.
Kazuto Asai. The group generated by gamma functions Γ(ax + 1), and its sungroup of the elements converging to constants. preprint, 2011.
Kazuto Asai. Homogeneous partial differential equations, omega operators, and superpositions of indeterminate functions. preprint, 2011.
H. Sagawa. Ministry of Education Scientific Research Fund (C), 20082011.
S. Watanabe, 20112012.
Reviewer: Mathematical Reviews published by the American Mathematical Society
Takehito Mentani. Analysis of the distribution of radioactive materials based on air radiation measurements. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: A. Fujitsu
Masaki Fujita. Simulation of the BurridgeKnopoff Model for Earthquakes by Cellular Automata. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: M. Honma
Hiroshi Tsumuraya. Simulation of Critical Phenomena in Percolation. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: M. Honma
Takashi Kato. Hubble and Age of the Universe. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: H. Sagawa
Keisaku Baba. Birth and the Future of the universe. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: H. Sagawa
Ryo Taguchi. Implementation of quantum teleportation and features of nonlinear opticval crystal. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: H. Sagawa
Takuyuki Miura. How to determine the age of the universe. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: H. Sagawa
Hiroyuki Chonan. Physical background of the expansion of the universe. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: H. Sagawa
Yuta Hirakuri. Simulations of Quantum Search Algorithm. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: H. Sagawa
Ryu Koizumi. Development of new teaching materials that use history of mathematics. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: S. Watanabe
Yasuhiro Yamamoto. A New Teaching Approach that Uses the History of Mathematics. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: S. Watanabe
Nobuyuki Dobashi. New special functions defined by Hermite polynominals. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: S. Watanabe
Yuta Shiroishi. New Education Approach by Using History of Mathmatics. Graduation thesis, School of Computer Science and Engineering, 2012.
hesis Adviser: S. Watanabe
Hiroyuki Kobayashi. History of Integration as a Teaching Approach. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: S. Watanabe
Yuta Kanke. New Special Functions Defined by Legendre Polynomials. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: S. Watanabe
Takuma Hayakawa. A longwave simulation using Onedimensional Wave Equation. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: M. Yamagami
Motoki Oohashi. Consideration about trajectories of a meteorite, the moon and the earth. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: M. Yamagami
Asami Nakashima. Research of the wave motion phenomenon towards presumption of the earthquake scale. Graduation thesis, School of Computer Science and Engineering, 2012.
Thesis Adviser: M. Yamagami