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In this section, we first define the notion of the generalized toric (GT) graph. Then we introduce the three point function and define the partition function and the free energy of the

In Section 2, we introduce the infinite-wedge space (Fock space) and the fermion operator algebra and write the partition function in terms of matrix elements of a certain operator..

Key words: Benjamin-Ono equation, time local well-posedness, smoothing effect.. ∗ Faculty of Education and Culture, Miyazaki University, Nishi 1-1, Gakuen kiharudai, Miyazaki

Computation of Nambu-Poisson cohomology of type (I) In this subsection, we confine ourselves to nondegenerate linear Nambu- Poisson tensors of type (I).. We get the following results

This generalized excursion measure is applied to explain and generalize the convergence theorem of Kasahara and Watanabe [8] in terms of the Poisson point fields, where the inverse

This paper is concerned with the existence, the uniqueness, convergence and divergence of formal power series solutions of singular first order quasi-linear partial

[1] Albeverio, S., Daletskii, A. and Kondratiev, Yu., Stochastic analysis on product mani- folds: Dirichlet operators on differential forms, J. and Lytvynov, E., Laplace operators

Related to this, we examine the modular theory for positive projections from a von Neumann algebra onto a Jordan image of another von Neumann alge- bra, and use such projections