Motoko Kotani

Tohoku University

Contact: kotani (at)

Research: mathscinet reviews

  1. Kotani, Motoko "An asymptotic of the large deviation for random walks on a crystal lattice." Discrete geometric analysis, 141--152, Contemp. Math., 347, Amer. Math. Soc., Providence, RI, 2004.
  2. Discrete geometric analysis. Proceedings of the 1st JAMS Symposium held in Sendai, December 12--20, 2002. Edited by Motoko Kotani, Tomoyuki Shirai and Toshikazu Sunada. Contemporary Mathematics, 347. American Mathematical Society, Providence, RI, 2004. xii+258 pp. ISBN: 0-8218-3351-0 00B25
  3. Kotani, Motoko; Sunada, Toshikazu "Spectral geometry of crystal lattices". Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002), 271--305, Contemp. Math., 338, Amer. Math. Soc., Providence, RI, 2003.
  4. Kotani, Motoko "Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice. J. Geom. Phys. 47 (2003), no. 2-3, 323--342. preprint
  5. Kotani, Motoko; Sunada, Toshikazu Geometric aspects of large deviations for random walks on a crystal lattice. Microlocal analysis and complex Fourier analysis, 215--223, World Sci. Publishing, River Edge, NJ, 2002.
  6. Kotani, Motoko Discrete geometrical analysis from the viewpoint of crystal lattices. (Japanese) S\=ugaku 54 (2002), no. 4, 348--364.
  7. Kotani, Motoko A central limit theorem for magnetic transition operators on a crystal lattice. J. London Math. Soc. (2) 65 (2002), no. 2, 464--482.
  8. Kotani, Motoko; Sunada, Toshikazu Geometric aspects of large deviations for random walks on a crystal lattice. Geometry of submanifolds and related topics (Japanese) (Kyoto, 2001). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1236 (2001), 112--114.
  9. Kotani, Motoko A note on asymptotic expansions for closed geodesics in homology classes. Math. Ann. 320 (2001), no. 3, 507--529.
  10. Kotani, Motoko; Sunada, Toshikazu The pressure and higher correlations for an Anosov diffeomorphism. Ergodic Theory Dynam. Systems 21 (2001), no. 3, 807--821.
  11. Kotani, Motoko; Sunada, Toshikazu Standard realizations of crystal lattices via harmonic maps. Trans. Amer. Math. Soc. 353 (2001), no. 1, 1--20
  12. Kotani, Motoko; Sunada, Toshikazu A central limit theorem for the simple random walk on a crystal lattice. Proceedings of the Second ISAAC Congress, Vol. 1 (Fukuoka, 1999), 1--6, Int. Soc. Anal. Appl. Comput., 7, Kluwer Acad. Publ., Dordrecht, 2000.
  13. Kotani, Motoko; Sunada, Toshikazu Jacobian tori associated with a finite graph and its abelian covering graphs. Adv. in Appl. Math. 24 (2000), no. 2, 89--110.
  14. Kotani, Motoko; Sunada, Toshikazu Zeta functions of finite graphs. J. Math. Sci. Univ. Tokyo 7 (2000), no. 1, 7--25.
  15. Kotani, Motoko; Sunada, Toshikazu Albanese maps and off diagonal long time asymptotics for the heat kernel. Comm. Math. Phys. 209 (2000), no. 3, 633--670.
  16. Kotani, Motoko; Shirai, Tomoyuki; Sunada, Toshikazu Asymptotic behavior of the transition probability of a random walk on an infinite graph. J. Funct. Anal. 159 (1998), no. 2, 664--689.
  17. Kotani, Motoko Harmonic $2$-spheres with $r$ pairs of extra eigenfunctions. Proc. Amer. Math. Soc. 125 (1997), no. 7, 2083--2092.
  18. Furuta, Mikio; Guest, Martin A.; Kotani, Motoko; Ohnita, Yoshihiro On the fundamental group of the space of harmonic $2$-spheres in the $n$-sphere. Math. Z. 215 (1994), no. 4, 503--518.
  19. Kotani, Motoko Connectedness of the space of minimal $2$-spheres in $S\sp {2m}(1)$. Proc. Amer. Math. Soc. 120 (1994), no. 3, 803--810.
  20. Ejiri, Norio; Kotani, Motoko Index and flat ends of minimal surfaces. Tokyo J. Math. 16 (1993), no. 1, 37--48.