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Volume 52 (2000)
- Issue 4 Pages 699-
- Issue 3 Pages 485-
- Issue 2 Pages 231-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 52, Issue 2
Displaying 1-12 of 12 articles from this issue
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Kiyoshi OHBA2000 Volume 52 Issue 2 Pages 231-267
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe construct a number of analytic cycles on the moduli space of stable curves by using three moduli spaces: the moduli space of tori with one marked point, that of spheres with four marked points, and that of tori with two marked points. We then prove the linear independence of the cycles in the rational homology groups in order to improve Wolpert's estimates for even degree Betti numbers of the moduli space of stable curves.View full abstractDownload PDF (349K) -
Dedicated to Professor Nobuyuki Ikeda on his seventieth birthdayHiroyuki MATSUMOTO, Naomasa UEKI2000 Volume 52 Issue 2 Pages 269-292
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSThe spectra of the quadratic Hamiltonians on the two-dimensional Euclidean space are determined completely by using the theory of the metaplectic representation. In some cases, the corresponding heat kernels are studied in connection with the well-definedness of the Wiener integrations. A proof of the Lévy formula for the stochastic area and a relation between the real and complex Hermite polynomials are given in our framework.View full abstractDownload PDF (181K) -
Jeong Hee HONG, Hideki KOSAKI2000 Volume 52 Issue 2 Pages 293-333
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe assume that a factor is equipped with outer actions of two finite groups, and consider a factor-subfactor pair consisting of the crossed product by one group and the fixed point algebra by the other. For this inclusion of factors, the group of one-dimensional bimodules appearing at even levels of the associated graph and that of non-strongly outer automorphisms for the subfactor (i.e., centrally trivial ones in the strongly amenable case) are determined.View full abstractDownload PDF (303K) -
Hiroshi FUJITA2000 Volume 52 Issue 2 Pages 335-341
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSUsing the covering game, we prove that every (lightface) Π21-set of positive Lebesgue measure contains a member which is arithmetical in 0^{\#}. This result generalizes a result for Π11 due to Sacks and Tanaka.View full abstractDownload PDF (78K) -
Kouji YAMAMURO2000 Volume 52 Issue 2 Pages 343-362
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSThe class of self-similar additive processes is an important subclass of stochastically continuous processes with independent increments which are not assumed to be time-homogeneous. It is shown that this process is transient if it is proper and the dimension is three or more. Furthermore sufficient conditions for transience are given in one-or two-dimensional cases.View full abstractDownload PDF (159K) -
Mitsunori IMAOKA, Karlheinz KNAPP2000 Volume 52 Issue 2 Pages 363-372
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSGeneralizing the transfer maps concerned with the projective spaces, we study some fundamental properties of transfer maps for sphere bundles. We show that their cofibers are represented by Thom spectra, which enables us to calculate the e-invariants of the transfer maps. We give some concrete formula for the e-invariants of them and its application.View full abstractDownload PDF (110K) -
Ben M. HAMBLY, Takashi KUMAGAI, Shigeo KUSUOKA, Xian Yin ZHOU2000 Volume 52 Issue 2 Pages 373-408
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe consider homogeneous random Sierpinski carpets, a class of infinitely ramified random fractals which have spatial symmetry but which do not have exact self-similarity. For a fixed environment we construct“natural”diffusion processes on the fractal and obtain upper and lower estimates of the transition density for the process that are up to constants best possible. By considering the random case, when the environment is stationary and ergodic, we deduce estimates of Aronson type.View full abstractDownload PDF (280K) -
To the memory of Professor Etsuo YoshinagaOsamu SAEKI2000 Volume 52 Issue 2 Pages 409-431
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe show that the real Seifert form determines the weights for nondegenerate quasihomogeneous polynomials in \bm{C}3. Consequently the real Seifert form determines the spectrum for semiquasihomogeneous hypersurface singularities in \bm{C}3. As a corollary, we obtain the topological invariance of weights for nondegenerate quasihomogeneous polynomials in \bm{C}3, which has already been proved by the author [{Sae1}] and independently by Xu and Yau [{Ya1}], [{Ya2}], [{XY1}], [{XY2}]. The method in this paper is totally different from their approaches and gives some new results, as corollaries, about holomorphic function germs in \bm{C}3 which are connected by μ-constant deformations to nondegenerate quasihomogeneous polynomials. For example, we show that two semiquasihomogeneous functions of three complex variables have the same topological type if and only if they are connected by a μ-constant deformation.View full abstractDownload PDF (171K) -
Dedicated to Professor Tzee-Char Kuo's 60th birthdayToshizumi FUKUI, Laurentiu PAUNESCU2000 Volume 52 Issue 2 Pages 433-446
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe show that a real analytic family of real analytic functions admits a modified analytic trivialization (MAT) via an appropriate toric modification, if their weighted initial forms define isolated singularities near zero.View full abstractDownload PDF (131K) -
Ezzeddine BOUACIDA, Othman ECHI, Ezzeddine SALHI2000 Volume 52 Issue 2 Pages 447-464
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSLet \mathscr{F} be a codimension-one foliation, transversally oriented, of class Cr (r≥q 0) on a connected closed manifold M. The class of a leaf F of \mathscr{F} is defined to be the union of all leaves G with overline{F}=overline{G}. Let X be the space of classes of leaves in M and let X0 be the union of open subsets of X which are homeomorphic to \bm{R} or to S1. In this paper we prove that if the level of \mathscr{F} is well defined (in the sense of [{12}]), then X-X0 is a spectral space.View full abstractDownload PDF (205K) -
Paul-Hermann ZIESCHANG2000 Volume 52 Issue 2 Pages 465-482
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSGeneralizing a well-known group-theoretical notion we define transversals for (association) schemes. Two results on transversals of schemes are offered. Firstly, we show that a closed subset in a scheme possesses a factor scheme if it possesses a transversal. Secondly, we characterize the Coxeter schemes in terms of transversals. (Coxeter schemes are exactly those schemes which can be identified with the buildings in the sense of Tits). The second result may be viewed as a“thick version”of the characterization of Coxeter groups by the existence of“minimal coset representatives”. On the other hand, the characterizing conditions given in this result are similar to the well-known“gate property”defined for chamber systems having a Coxeter matrix as type. Thus, our second main result may be viewed as a unified treatment of these two results.View full abstractDownload PDF (126K) -
Hidenori FUJIWARA2000 Volume 52 Issue 2 Pages 483
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSLe théorème 1 dans [{1}] ne s'établit que pour l\inΓτ génériques. Une faute deraisonnements s'est introduite au début de la démonstration. En y empruntant lesnotations, supposons que \mathfrak{h} ne contient pas le centre \mathfrak{z} de \mathfrak{g}. Posons \mathfrak{l}=\mathfrak{h}+\mathfrak{z}, K=exp \mathfrak{l}et \σ=indKGχ_{l}. Alors il se voit que \mathfrak{h}\in Q(l, \mathfrak{g}), mais cette appartenance n'entra\îne pasnécessairement la finitude des multiplicités dans la désintégration de \σ en représentationsirréductibles. Par conséquent nous ne pouvons plus rester dans le cardre de l'article [{1}]. A cause de cette éventualité, le théorème serait faux et nous devons modifier sonénoncé en y ajoutant une condition que l\inΓτ soit générique. Cela veut dire que ladimension de 1'orbite G·l soit maximale parmi celles des G-orbites rencontrant Γτ, ouencore que la dimension de l'orbite H·l soit maximale parmi cells des H-orbites dansΓτ. En bref, le théorème 1 dans [{1}] ne s'établit que presque partout dans Γτ.View full abstractDownload PDF (35K)
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