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利用随机过程相关知识对理赔次数服从复合Poisson-Geometric过程带干扰的风险模型做进一步研究,得出直至破产时刻总红利付款的期望现值、矩母函数及n阶矩所满足的积分微分方程及边界条件。
M-theory, the signature theorem, and geometric invariants
M-theory the signature theorem geometric invariants
2011/3/2
The equations of motion and the Bianchi identity of the C-field in M-theory are encoded in terms of the signature operator.
Author developed a uniform model for different spaces where distance and angle measure kinds are parameters. This model is calculus centric, but can also be used in theoretical research. It is useful ...
Geometric motivic Poincaré series of quasi-ordinary singularities
Geometric motivic Poincaré series quasi-ordinary singularities
2010/11/19
The geometric motivic Poincar\'e series of a germ $(S,0)$ of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through $(S,0)$. Denef and Loeser pro...
A geometric refinement of a theorem of Chekanov
A geometric refinement theorem of Chekanov
2010/11/9
We prove a conjecture of Barraud and Cornea in the monotone setting, refining a result of Chekanov on the Hofer distance between two Hamiltonian isotopic Lagrangian submanifolds.
Necessary geometric and analytic conditions for general estimates in the $\dib$-Neumann problem
Necessary geometric the $\dib$-Neumann problem
2010/11/11
We show that a general estimate in the $\dib$-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bou...
Any 3-manifold 1-dominates at most finitely many geometric 3-manifolds
Any 3-manifold 1-dominates finitely geometric 3-manifolds
2010/10/29
In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds