## Search

Now showing items 11-20 of 22

#### Thinplate splines on the sphere

(2018)

© 2018, Institute of Mathematics. All rights reserved. In this paper we give explicit closed forms for the semi-reproducing kernels associated with thinplate spline interpolation on the sphere. Polyharmonic or thinplate ...

#### Value sets of sparse polynomials

(2018)

We obtain a new lower bound on the size of value set V (ƒ) = ƒ(Fp) of a sparse
polynomial ƒ ϵ Fp[X] over a finite field of p elements when p is prime. This
bound is uniform with respect of the degree and depends on some ...

#### Zero-cycles of degree one on Skorobogatov's bielliptic surface

(2017)

© 2017 Elsevier Inc. Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer–Manin obstruction. We show that this surface has a 0-cycle of degree 1, as ...

#### Determining the order of a molecular point group

(University of Canterbury. Chemistry, 2011)

Conventional methods of identifying the point group of a molecule require skills in finding symmetry elements and
operations. A useful aid to error checking is an ability to determine the order of a group purely from its ...

#### Random dynamical systems and transfer operator cycles

(2018)

Random dynamical systems are generated by recursively applied sequences of maps,
where the choice of map at each timestep is determined by a stochastic process. Such
systems are usually formulated as a skew-product, in ...

#### Degree and the Brauer-Manin obstruction

(2017)

Let X be a smooth variety over a number field k embedded as a degree d
subvariety of {P}^nk and suppose that X is a counterexample to the
Hasse principle explained by the Brauer-Manin obstruction. We consider the
question ...

#### Relative Brauer groups of torsors of period two

(2016)

We consider the problem of computing the relative Brauer group of a torsor of
period two under an elliptic curve. We show how this problem can be reduced to finding a
set of generators for the group of rational points ...

#### Three-dimensional connected groups of automorphisms of toroidal circle planes

(2018)

We contribute to the classification of toroidal circle planes and flat
Minkowski planes possessing three-dimensional connected groups of
automorphisms. When such a group is an almost simple Lie group, we show that it
is ...