Singularities and normal forms of smooth distributions

M. Zhitomirskiĭ

Displaying similar documents to “Singularities and normal forms of smooth distributions”

Singularity classes of special 2-flags.

Mormul, Piotr (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Recognizing right-left equivalence locally

Takashi Nishimura (1999)

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Singularities of wave fronts at the boundary between two media

Oleg Myasnichenko (1996)

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On the topological triviality along moduli of deformations of $J_{k, 0}$ singularities

Piotr Jaworski (2000)

Annales Polonici Mathematici

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It is well known that versal deformations of nonsimple singularities depend on moduli. However they can be topologically trivial along some or all of them. The first step in the investigation of this phenomenon is to determine the versal discriminant (unstable locus), which roughly speaking is the obstacle to analytic triviality. The next one is to construct continuous liftable vector fields smooth far from the versal discriminant and to integrate them. In this paper we extend the results...

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Michail Zhitomirskii, Witold Respondek (1998)

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Aleksey Davydov (1995)

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Geometric approach to Goursat flags

Richard Montgomery, Michail Zhitomirskii (2001)

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Minimal nilpotent bases for Goursat distributions of coranks not exceeding six.

Mormul, Piotr (2004)

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Superfixed positions in the geometry of Goursat flags.

Mormul, Piotr (2002)

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Multivariate negative binomial distributions generated by multivariate exponential distributions

Bolesław Kopociński (1999)

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We define a multivariate negative binomial distribution (MVNB) as a bivariate Poisson distribution function mixed with a multivariate exponential (MVE) distribution. We focus on the class of MVNB distributions generated by Marshall-Olkin MVE distributions. For simplicity of notation we analyze in detail the class of bivariate (BVNB) distributions. In applications the standard data from [2] and [7] and data concerning parasites of birds from [4] are used.

On blowing up versal discriminants

Piotr Jaworski (1998)

Banach Center Publications

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It is well-known that the versal deformations of nonsimple singularities depend on moduli. The first step in deeper understanding of this phenomenon is to determine the versal discriminant, which roughly speaking is an obstacle for analytic triviality of an unfolding or deformation along the moduli. The goal of this paper is to describe the versal discriminant of $Z_{k, 0}$ and $Q_{k, 0}$ singularities basing on the fact that the deformations of these singularities may be obtained as blowing ups of certain...