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Mahony Neumann Room Prize

Winner of the 2022 Mahony Neumann Room Prize

Satish K. Pandey and Vern I. Paulsen for their paper ‘A spectral characterization of AN operatorsJournal of the Australian Mathematical Society.



Winner of the 2021 Mahony Neumann Room Prize

Serena Dipierro, Luca Lombardini, Pietro Miraglio and Enrico Valdinoci for the paper 'The Phillip Island Penguin Parade (A Mathematical Treatment)', ANZIAM Journal.

Citation: An enjoyable paper to read, considering an interesting and new study of the movement of the penguins as they return to their nests in the evening on Phillip Island.  It is very nice example of applied mathematics. The real situation is observed, equations are derived and investigated. Outcomes are compared with monitored penguin behaviour. Existence results are proven. The simplicity is compelling and it provides a nice understanding of a real process, with a rigorous underpinning. 


Winner of the 2020 Mahony Neumann Room Prize

Janusz Brzdek for the paper "A Hyperstability Result for the Cauchy Equation", Bulletin of the Australian Mathematical Society

Citation: The paper proves a hyperstability result for the Cauchy functional equation f(x + y) = f(x) + f(y), which complements earlier stability outcomes of J. M. Rassias. It exploits the fixed point method introduced in J. Brzdęk, J. Chudziak and Zs. Páles, ‘A fixed point approach to stability of functional equations’, Nonlinear Anal. 74 (2011), 6728–6732. The notion of hyperstability for this functional equation (also introduced by J. Brzdęk) is that if a mapping is in some sense ‘close’ to being additive, is it necessarily ‘close’ to an additive mapping.

The methods introduced in the paper are presented in a form that has been shown to be widely applicable and has influenced others working in this field with applications to many other functional equations and in more general settings. The fixed point method from Brzdęk, Chudziak and Páles has also been developed in many papers to a number of functional equations and to a number of settings beyond the original setting in Banach space and the application to the Cauchy equation.

This paper continues to be strongly cited as one of a growing number of examples of hyperstability, acknowledging the significance of the early application of the method to the Cauchy equation. 

 

Winner of the 2019 Mahony Neumann Room Prize


Valentino Magnani for the paper 'Towards differential calculus in stratified groups', 
Journal of the Australian Mathematical Society


Winners of the 2018 Mahony Neumann Room Prize

Lawrence K. Forbes for his paper 'On turbulence modelling and the transition from laminar to turbulent flow', ANZIAM Journal

F. Aragón Artacho, J. Borwein, M. Tam for their paper 'Douglas–Rachford feasibility methods for matrix completion problems', ANZIAM Journal

 

Winner of the 2017 Mahony Neumann Room Prize


Jason P. Bell, Michael Coons and Kevin G. Hare for their paper ‘The minimal growth of a k-regular sequence’, Bulletin of the Australian Mathematical Society

Citation: The paper gives a lower bound for the growth of an unbounded integer-valued k-regular sequence. The ideas are applied to answer a question of Borwein, Choi and Coons on the sums of completely multiplicative automatic functions. There is a connection with a famous problem of Erdös in this area. The paper attacks a concrete and nontrivial problem and gives a very comprehensive solution, including both an asymptotic lower bound and examples to demonstrate that this estimate is best possible. The paper sheds light on important conjectures about automatic sequences. The exposition is excellent. The paper is well-cited and continues to be cited.