- A stochastic approach to the Riemann-Roch theorem
(with I. Shigekawa),
in "
*Osaka Journal of Mathematics*,**25**(4)," pp.759-784 (1988) ( published article). - A stochastic approach to the Poincaré-Hopf theorem,
in "
*Probability Theory and Related Fields*,**82**(2)," pp.271-293 (1989). ( published article, published article). - A probabilistic proof of the Gauss-Bonnet-Chern theorem
for manifolds with boundary
(with I. Shigekawa and S. Watanabe),
in "
*Osaka Journal of Mathematics*,**26**(4)," pp.897-930 (1989) ( published article). - A probabilistic approach to the heat equation for the
∂-Neumann problem,
in "
*Diffusion processes and related problems in analysis, Vol. I (Evanston, IL, 1989), Birkhäuser, Progress in Probability*,**22**," pp.235-244 (1990). ( DVI file 33Kb, AMS-TeX file 50Kb, g-zipped ps file 20Kb) - A probabilistic construction of the heat kernel for the
∂-Neumann problem on a strongly
pseudoconvex Siegel domain,
in "
*Osaka Journal of Mathematics*,**28**(4)," pp.867-909 (1991). ( DVI file 200Kb, AMS-TeX file 108Kb, g-zipped ps file 149Kb, published article). - On spectra of random Schrödinger operators
with magnetic fields,
in "
*Osaka Journal of Mathematics*,**31**(1)," pp.177-187 (1994). ( DVI file 42Kb, AMS-TeX file 27Kb, g-zipped ps file 59Kb, published article). - Lower bounds for the spectra of Schrödinger operators
with magnetic fields,
in "
*Journal of Functional Analysis*,**120**(2)," pp.344-379 (1994) ( DVI file 131Kb, AMS-TeX file 82Kb, g-zipped ps file 117Kb, published article, published article), erratum,**127**(1)," pp.257-258 (1995) ( DVI file 5Kb, AMS-TeX file 3Kb, g-zipped ps file 20Kb, published article, published article). - Hypoellipticity for the ∂-Neumann
problem on certain domains with infinite degeneracy,
in "
*Japanese Journal of Mathematics*,**22**(1)," pp.79-128 (1996). ( DVI file 215Kb, AMS-TeX file 118Kb, g-zipped ps file 166Kb, published article). - Spectral analysis of Schrödinger operators
with magnetic fields (with H. Matsumoto),
in "
*Journal of Functional Analysis*,**140**(1)," pp.218-255 (1996). (DVI file 132Kb, g-zipped ps file 127Kb, published article, published article) - Asymptotics of the infimum of the spectrum of
Schrödinger operators with magnetic fields,
in "
*Journal of Mathematics of Kyoto University*,**37**(4)," pp.615-638 (1998). ( DVI file 94Kb, AMS-TeX file 59Kb, g-zipped ps file 104Kb, published article) - Asymptotic expansion of stochastic oscillatory
integrals with rotation invariance,
in "
*Ann. Inst. H. Poincaré Probab. Statist.*,**35**(4)," pp.417-457 (1999). ( DVI file 136Kb, g-zipped ps file 131Kb, published article, published article) - Simple examples of Lifschitz tails
in Gaussian random magnetic fields,
in "
*Ann. Henri Poincaré*,**1**(3)," pp.473-498 (2000). (DVI file 95Kb, g-zipped ps file 99Kb, published article) - Applications of the theory of the metaplectic
representation to quadratic Hamiltonians on
the two-dimensional Euclidean space (with H. Matsumoto),
in "
*J. Math. Soc. Japan*,**52**(2)," pp.269-292 (2000). (DVI file 100Kb, g-zipped ps file 100Kb, published article) - Estimates on the heat kernel of
the Pauli Hamiltonian and its application
to problems on hypoellipticity of the
∂
_{b}-Laplacian, in "*Math. Z.*,**239**(1)," pp.69-97 (2002). ( DVI file 118Kb, LaTeX2e file 70Kb, g-zipped ps file 119Kb, published article, published article) - Lifschitz tail of a random Pauli Hamiltonian
with an anomalous magnetic moment,
in "
*Japanese Journal of Mathematics*,**28**(2)," pp.261-286(2002). ( DVI file 104Kb, LaTeX2e file 66Kb, g-zipped ps file 107Kb, published article) - Wegner estimates and localization for
Gaussian random potentials,
in "
*Publ. Res. Inst. Math. Sci.*,**40**(1)," pp.29-90(2004). ( DVI file 227Kb, LaTeX2e file 156Kb, g-zipped ps file 264Kb, published article) - On the integrated density of states of random Pauli Hamiltonians,
in "
*Journal of Mathematics of Kyoto University*,**44**(3)," pp.615-653 (2004). ( DVI file 169Kb, LaTeX2e file 107Kb, g-zipped ps file 219Kb, published article) - Wegner estimate and localization for random magnetic fields,
in "
*Osaka Journal of Mathematics*,**45**(3)," pp.565-608 (2008). ( DVI file 178Kb, LaTeX2e file 124Kb, g-zipped ps file 279Kb, published article) - Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice (with R. Fukushima),
in "
*Ann. Henri Poincaré*,**11**(6)," pp.1053-1083 (2010). (DVI file 130Kb, LaTeX2e file 85Kb, PDF file 398Kb, published article) - Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential (with R. Fukushima),
in "
*Journal of Functional Analysis*,**260**(3)," pp. 724-744 (2011), " doi:10.1016/j.jfa.2010.10.016 ( article, published article) - Classical behavior of the integrated density of states for the uniform magnetic field and a randomly perturbed lattice,
in "
*Markov Processes and Related Fields*,**17**(3)," pp.347-368 (2011). (DVI file 85Kb, LaTeX2e file 61Kb, PDF file 415Kb) - Quantum behavior of the integrated density of states for the uniform magnetic field and a randomly perturbed lattice,
in "
*RIMS Kôkyûroku Bessatsu*,**B27**(6)," pp.149-169 (2011). (DVI file 99Kb, LaTeX2e file 65Kb, PDF file 390Kb) - Wegner estimate for Gaussian random magnetic fields, in "
*Journal of Functional Analysis*,,**263**(7)," pp. 2024-2050 (2012), " doi:10.1016/j.jfa.2012.06.021 (DVI file 125Kb, LaTeX2e file 78Kb, PDF file 365Kb, Kyoto University Research Information Repository, published article) - Wegner estimates, Lifshitz tails and Anderson localization for Gaussian random magnetic fields, preliminary version ( LaTeX file 70Kb, PDF file 157Kb)