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Some standard numerical problems become intractable in high dimensions.
Yet successes are often achieved in practice. This may be explained in terms
of the underlying target function being somehow s...
On visualization of the linearity problem for mapping class groups of surfaces
visualization linearity problem mapping class groups surfaces
2012/3/1
We derive two types of linearity conditions for mapping class groups of orientable surfaces; one for once-punctured surface, and the other for closed surface, respectively. For the once-punctured case...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
o.d.e. systems lipchitz non linearity Periodic solutions Dynamical Systems
2011/9/5
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
Periodic solutions o.d.e. systems lipchitz non linearity
2011/8/17
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Global solutions to a non-local diffusion equation with quadratic non-linearity
Global solutions a non-local diffusion equation quadratic non-linearity
2011/1/21
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with ∈ [0, 2/3):@tu = (−△)−1u △u + u2, u(t = 0) = u0.
PERCENTAGE POINTS AND POWER OF AK-S TYPE TEST FOR LINEARITY IN AUTOREGRESSIVE TIME SERIES
Kolmogorov-Smirnov type test
2007/12/10
The empirical upper percentage points of the null distribution of a Kolmogorov-Smirnov type test for checking linearity in autoregressive models are tabulated in this paper, and the good power propert...
On the Linearity of Certain Mapping Class Groups
Mapping class groups Braid groups Linear groups
2010/3/1
S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously kn...