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4 papers · 1 filter
Word maps have large image
Michael Larsen
An element w in the free group on r letters defines a map f from G^r to G for each group G. In this note, we show that whenever w is non-trivial and G is a semisimple algebraic gro…
The support problem for abelian varieties
Michael Larsen
Let be an abelian variety over a number field . If and are -rational points of such that the order of the reduction of divides that of for all but fin…
Knot signature functions are independent
Jae Choon Cha, Charles Livingston
To each unit complex number with positive imaginary part there is defined a Tristram-Levine knot signature function. The set of all such signature functions is linearly independent…
An Evans function approach to spectral stability of small-amplitude shock profiles
Ramon Plaza, Kevin Zumbrun
We establish one-dimensional spectral stability of small amplitude viscous and relaxation shock profiles using Evans function techniques to perform a series of reductions and norma…