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Volume 63 (2011)
- Issue 4 Pages 1085-
- Issue 3 Pages 715-
- Issue 2 Pages 363-
- 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 63, Issue 2
Displaying 1-10 of 10 articles from this issue
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Yoshikata Kida2011 Volume 63 Issue 2 Pages 363-417
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSWe compute the automorphism groups of the Torelli complex and the complex of separating curves for all but finitely many compact orientable surfaces. As an application, we show that the abstract commensurators of the Torelli group and the Johnson kernel for such surfaces are naturally isomorphic to the extended mapping class group.View full abstractDownload PDF (714K) -
Shouhei Honda2011 Volume 63 Issue 2 Pages 419-442
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSIn this paper, we study limit spaces of a sequence of n-dimensional complete Riemannian manifolds whose Ricci curvatures have definite lower bound. We will give several measure theoretical properties of such limit spaces.View full abstractDownload PDF (280K) -
Yutaka Hemmi, Yusuke Kawamoto2011 Volume 63 Issue 2 Pages 443-471
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSWe define a higher homotopy commutativity for the multiplication of a topological monoid. To give the definition, we use the resultohedra constructed by Gelfand, Kapranov and Zelevinsky. Using the higher homotopy commutativity, we have necessary and sufficient conditions for the classifying space of a topological monoid to have a special structure considered by Félix, Tanré and Aguadé. It is also shown that our higher homotopy commutativity is rationally equivalent to the one of Williams.View full abstractDownload PDF (370K) -
Szymon M. Walczak2011 Volume 63 Issue 2 Pages 473-502
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSWe discuss the topology of Hausdorff leaf spaces (briefly the HLS) for foliation of codimension one. After examining the connection between HLSs and warped foliations, we describe the HLSs associated with foliations obtained by basic constructions such as transversal and tangential gluing, spinning, turbulization and suspension. We show that the HLS for any foliation of codimension one on a compact Riemannian manifold is isometric to a finite connected metric graph, and any finite connected metric graph is isometric to a certain HLS. In the final part of this paper, we discuss the condition for a sequence of warped foliations to converge the HLS.View full abstractDownload PDF (405K) -
Urtzi Buijs, Yves Félix, Aniceto Murillo2011 Volume 63 Issue 2 Pages 503-524
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSIn this paper, for any pointed map f : X → Y between finite type nilpotent CW-complexes, we obtain L∞ and Lie models of mapf*(X,Y), the pointed space of based maps homotopic to f, in terms of Lie algebras constructed from the Quillen models of X and Y. The main advantage of our approach is to allow X to be an infinite dimensional CW-complex, in which case mapf*(X,Y) has no longer the homotopy type of a finite type CW-complex.View full abstractDownload PDF (285K) -
Shigeki Akiyama, Benoît Loridant2011 Volume 63 Issue 2 Pages 525-579
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSA standard way to parametrize the boundary of a connected fractal tile T is proposed. The parametrization is Hölder continuous from R/Z to ∂T and fixed points of ∂T have algebraic preimages. A class of planar tiles is studied in detail as sample cases and a relation with the recurrent set method by Dekking is discussed. When the tile T is a topological disk, this parametrization is a bi-Hölder homeomorphism.View full abstractDownload PDF (2313K) -
Ivan Izmestiev2011 Volume 63 Issue 2 Pages 581-598
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSWeiss and, independently, Mazzeo and Montcouquiol recently proved that a 3-dimensional hyperbolic cone-manifold (possibly with vertices) with all cone angles less than 2π is infinitesimally rigid. On the other hand, Casson provided 1998 an example of an infinitesimally flexible cone-manifold with some of the cone angles larger than 2π.
In this paper several new examples of infinitesimally flexible cone-manifolds are constructed. The basic idea is that the double of an infinitesimally flexible polyhedron is an infinitesimally flexible cone-manifold. With some additional effort, we are able to construct infinitesimally flexible cone-manifolds without vertices and with all cone angles larger than 2π.View full abstractDownload PDF (276K) -
Takuya Miyazaki2011 Volume 63 Issue 2 Pages 599-646
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSWe introduce a Siegel-Eisenstein series of degree 2 which generates a cohomological representation of Saito-Kurokawa type at the real place. We study its Fourier expansion in detail, which is based on an investigation of the confluent hypergeometric functions with spherical harmonic polynomials. We will also consider certain Mellin transforms of the Eisenstein series, which are twisted by cuspidal Maass wave forms, and show their holomorphic continuations to the whole plane.View full abstractDownload PDF (373K) -
Messoud Efendiev, Yoshitaka Yamamoto, Atsushi Yagi2011 Volume 63 Issue 2 Pages 647-673
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSIn this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations. A generation theorem will be proved under the assumption that the evolution operator is a compact perturbation of a contraction. In the second half of the paper, these results will be applied to some non-autonomous chemotaxis system.View full abstractDownload PDF (266K) -
Kôhei Uchiyama2011 Volume 63 Issue 2 Pages 675-713
Published: 2011
Released on J-STAGE: May 19, 2011
JOURNAL FREE ACCESSThis paper concerns a random walk that moves on the integer lattice and has zero mean and a finite variance. We obtain first an asymptotic estimate of the transition probability of the walk absorbed at the origin, and then, using the obtained estimate, that of the walk absorbed on a half line. The latter is used to evaluate the space-time distribution for the first entrance of the walk into the half line.View full abstractDownload PDF (321K)
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