vol5_pp53-66. 177KB Jun 04 2011 12:06:14 AM
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This paper provides a complete catalog of the break numbers that occur in the ramification filtration of fully and thus wildly ramified quaternion extensions of dyadic number
The proof serves to demonstrate two innovations: a strong re- pulsion principle for integer points on curves of positive genus, and a number-theoretical analogue of Sanov’s theorem
A sign pattern is an L -matrix provided it requires linearly independent rows, and is balanceable if it allows a left null vector with no zero entries.. A square L-matrix is
While in the general case arbitrarily large numbers of zeros may need to be added to the nonzero spectrum to obtain realization, in the symmetric case the number of zeros needed
The paper is organized as follows: In section 2 we show how to construct positive stochastic and positive doubly stochastic matrices with a given spectrum and with
The following example, adapted from [4, Chapter 7], shows that in general the uniform exponential stability is by no means a necessary condition for the existence of a
From its admitted symmetries or multipliers for conservation laws, one can determine whether or not a given system of differential equations can be linearized by an
In this section we describe a super-field representation of the dispersionless Boussinesq equa- tion; the system at hand admits two infinite sequences of commuting symmetries
