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In this paper we give an extension of the Cartier-Gabriel-Kostant structure theorem to Hopf algebroids.
It is shown that variants of the HI methods could yield objects closely connected to the classical Banach spaces. Thus we present a new c0 saturated space, denoted as X0,with rather tight structure.
It is well known that the incompressible Euler equations can be formulated in a very geometric language. The geometric structures provide very valuable insights into the properties of the solutions.
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits from stab...
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
Based on the proof of Labastida-Mari˜no-Ooguri-Vafa conjecture [6], we derive an infinite product formula for Chern-Simons partition functions, the generating function of quantum slN invariants. ...
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
We first give an overview of the shell-correction method which was developed by V. M.Strutinsky as a practicable and efficient approximation to the general selfconsistent theory of finite fermion syst...
In this paper, we consider a Lotka-Volterra model with impulsive effects on the prey and stage structure on the predator. We prove that all solutions of the system are uniformly ultimately bounded, su...
A note on the structure of the central path in linear programming.
The recently introduced discrete persistent structure extractor (DisPerSE Soubie 2010, paper I) is implemented on realistic 3D cosmological simulations and observed redshift catalogues; it is found th...
In the \positive interest" models of Flesaker and Hughston, the nominal discount bond system is determined by the speci cation of a one-parameter family of positive martingales.
Let $G$ be a finite $p$-group and $k$ a field of characteristic $p>0$. We show that $G$ has a \emph{non-linear} faithful action on a polynomial ring $U$ of dimension $n=\mathrm{log}_p(|G|)$ such that...
Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group o...

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