Australian Mathematical Society (AustMS): E-Journals
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On moderate deviations for count data and gamma approximation
No full texthttp://dx.doi.org/10.1017/S000497271200033
A continous homomorphism of a thin set onto a fat set
No full texthttp://dx.doi.org/10.1017/S000497271200033
Primitive element pairs with a prescribed trace in the cubic extension of a finite field
No full texthttp://dx.doi.org/10.1017/S000497271200033
Branching technique for a bi-objective two-stage assignment problem
No full textWe discuss a bi-objective two-stage assignment problem (BiTSAP) that aims at minimizing two objective functions: one comprising a nonlinear cost function defined explicitly in terms of assignment variables and the other a total completion time. A two-stage assignment problem deals with the optimal allocation of jobs to agents in two stages, where out of jobs are primary jobs which constitute Stage-1 and the rest of the jobs are secondary jobs constituting Stage-2. The paper proposes an algorithm that seeks an optimal solution for a BiTSAP in terms of various efficient time-cost pairs. An algorithm for ranking all feasible assignments of a two-stage assignment problem in order of increasing total completion time is also presented. Theoretical justification and numerical illustrations are included to support the proposed algorithms.
doi:10.1017/S144618112200011
On multifractionality of spherical random fields with cosmological applications
No full textThis paper investigates spatial data on the unit sphere. Traditionally, isotropic Gaussian random fields are considered as the underlying mathematical model of the cosmic microwave background (CMB) data. We discuss the generalized multifractional Brownian motion and its pointwise Hölder exponent on the sphere. The multifractional approach is used to investigate the CMB data from the Planck mission. These data consist of CMB radiation measurements at narrow angles of the sky sphere. The results obtained suggest that the estimated Hölder exponents for different CMB regions do change from location to location. Therefore, the CMB temperature intensities are multifractional. The methodology developed is used to suggest two approaches for detecting regions with anomalies in the cleaned CMB maps.
doi:10.1017/S1446181122000104
Li-Yorke chaos almost everywhere: On the pervasiveness of disjoint extremally scrambled sets
No full texthttp://dx.doi.org/10.1017/S000497271200033
Transversality, regularity and error bounds in variational analysis and optimisation
No full texthttp://dx.doi.org/10.1017/S000497271200033
A new characterisation for quartic residuacity of
No full texthttp://dx.doi.org/10.1017/S0004972712000330
On the divisibility of sums involving Apery-like polynomials
No full texthttp://dx.doi.org/10.1017/S000497271200033
Revisiting the rectangular constant in Banach spaces
No full texthttp://dx.doi.org/10.1017/S000497271200033