PAPERS by UEKI

  1. A stochastic approach to the Riemann-Roch theorem (with I. Shigekawa), in "Osaka Journal of Mathematics, 25(4)," pp.759-784 (1988) ( published article).
  2. A stochastic approach to the Poincaré-Hopf theorem, in "Probability Theory and Related Fields, 82(2)," pp.271-293 (1989). ( published article, published article).
  3. 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).
  4. 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)
  5. 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).
  6. 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).
  7. 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).
  8. 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).
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. 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)
  20. 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)
  21. 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)
  22. 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)
  23. 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)
  24. Wegner estimates, Lifshitz tails and Anderson localization for Gaussian random magnetic fields, in "Journal of Mathematical Physics 57(7)," pp. 071502 (2016), doi:10.1063/1.4959219 ( LaTeX file 70Kb, PDF file 159Kb, published article)
  25. Asymptotic behavior of the integrated density of states for random point fields associated with certain Fredholm determinants, in "Kyushu Journal of Mathematics 73(1)," pp. 43-67 (2019), doi:10.2206/kyushujm.73.43 ( LaTeX file 77Kb, PDF file 167Kb)
  26. Positivity of small ball probabilities of a Gaussian random field, and its applications to random Schrödinger operators, to appear in "Kyoto Journal of Mathematics," ( PDF file 100Kb)
  27. A definition of self-adjoint operators derived from the Schrödinger operator with the white noise potential on the plane, in "Stochastic Processes and their Applications,186," 104642 (2025), ( PDF file 234Kb, https://doi.org/10.1016/j.spa.2025.104642)
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