WebMochizuki,Shinichi Inter-universalTeichmüllertheory.I:ConstructionofHodgetheaters. (English) Zbl1465.14002 Publ.Res.Inst.Math.Sci.57,No.1-2,3-207(2024). WebAug 11, 2024 · In this paper, free bosons are used to study some integrable properties of Kadomtsev-Petviashvili (KP) hierarchy of C type (CKP hierarchy), from the aspects of tau functions. First, the modified CKP hierarchy is constructed by using free bosons, and the corresponding Lax structure is given. Then, the constrained CKP hierarchy is found to be ...
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WebSeveral inequalities for Hilbert space operators are extended. These include results of … WebAbstract. We study a partially linearized version of the relative trace formula for the arithmetic Gan–Gross–Prasad conjecture for the unitary group U ( V). The linear factor in this relative trace formula provides an S L 2 -symmetry which allows us to prove by induction the arithmetic fundamental lemma over Q p when p is odd and p ≥ dim V. the boys from biloxi john grisham reviews
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WebConvergence of almost all trajectories of strongly order-preserving semiflows is derived under suitable additional assumptions. These essentially consist in slightly sharpening the strongly order-preserving property and in the continuous differentiability of the flow with respect to the state variable. Required spectral properties of the linearizations of the flow … WebMar 28, 2024 · We study the singular nonlinear partial differential equation $ t\partial_tu = F(t, x, u, \partial_xu) $, where $ (t, x)\in\mathbb{R}\times\mathbb{R}^n $. Under some growth conditions on the coefficients of the partial Taylor expansion of $ F $, we construct the unique solution that is continuous in $ t $ and $ C^\infty $ in $ x … WebMar 17, 2024 · Tuna resources are an important part of China's pelagic fishery production. However, for China's tuna fishery, tuna species caught at sea are still manually classified, which is a time-consuming and inefficient process; so China's tuna fishery needs to develop toward automation. This study uses gray-level co-occurrence matrix (GLCM) and VGG16 … the boys from biloxi summary