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A Structure Theorem for Poorly Anticoncentrated Gaussian Chaoses and Applications to the Study of Polynomial Threshold Functions
Structure Theorem Anticoncentrated Gaussian Chaoses Study of Polynomial Threshold Functions
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2012/4/18
We prove a structural result for degree-$d$ polynomials. In particular, we show that any degree-$d$ polynomial, $p$ can be approximated by another polynomial, $p_0$, which can be decomposed as some fu...
Intrinsic branching structure within random walk on $\mathbb{Z}$
random walk branching process random environment invariant density
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2011/1/17
In this paper, we reveal the branching structure for a non-homogeneous random walk with bounded
jumps. The ladder time T1, the first hitting time of [1,∞) by the walk starting from 0, could be expres...
Shell structure and orbit bifurcations in finite fermion systems
Shell structure orbit bifurcations finite fermion systems
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2011/3/2
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...
Rational term structure models with geometric Levy martingales
Rational term structure models geometric Levy martingales
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2011/3/2
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.
Lagrangian multiform structure for the lattice Gel'fand-Dikii hierarchy
lattice Gel'fand-Dikii hierarchy partial difference equations
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2010/4/7
The lattice Gel'fand-Dikii hierarchy was introduced by Nijhoff, Papageorgiou, Capel and Quispel in 1992 as the family of partial difference equations generalizing to higher rank the lattice Korteweg-d...