ASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTS

Author:

UEKI Naomasa1

Affiliation:

1. Graduate School of Human and Environmental Studies Kyoto University

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference32 articles.

1. [1] K. Ando, A. Iwatsuka, M. Kaminaga and F. Nakano. The spectrum of Schrödinger operators with Poisson type random potential. Ann. Henri Poincaré 7 (2006), 145-160.

2. [2] J. Bourgain and C. E. Kenig. On localization in the continuous Anderson-Bernoulli model in higher dimension. Invent. Math. 161 (2005), 389-426.

3. [3] R. Carmona and J. Lacroix. Spectral Theory of Random Schrödinger Operators (Probability and its Applications). Birkhäuser, Boston, 1990.

4. [4] J. D. Deuschel and D. W. Stroock. Large Deviations. Academic Press, Boston, 1989.

5. [5] M. D. Donsker and S. R. S. Varadhan. Asymptotic evaluation of certain Markov process expectations for large time. I, II, III, IV. Comm. Pure Appl. Math. 28 (1975), 1-47; 28 (1975), 279-301; 29 (1976), 389-461; 36 (1983), 183-212.

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