Rua Murray
Rua Murray
Associate Professor in Mathematics, University of Canterbury
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TitleCited byYear
Computing invariant measures for expanding circle maps
M Keane, R Murray, LS Young
Nonlinearity 11 (1), 27-46, 1998
The exact rate of approximation in Ulam's method
C Bose, R Murray
Discrete & Continuous Dynamical Systems-A 7 (1), 219-235, 2001
Information on biotic interactions improves transferability of distribution models
W Godsoe, R Murray, MJ Plank
The American Naturalist 185 (2), 281-290, 2015
Approximation error for invariant density calculations
R Murray
Discrete & Continuous Dynamical Systems-A 4 (3), 535, 1998
Dynamical probing of the mechanisms underlying calcium oscillations
M Domijan, R Murray, J Sneyd
Journal of Nonlinear Science 16 (5), 483-506, 2006
The effect of competition on species' distributions depends on coexistence, rather than scale alone
W Godsoe, R Murray, MJ Plank
Ecography 38 (11), 1071-1079, 2015
Ulam's method for some non-uniformly expanding maps
R Murray
Discrete & Continuous Dynamical Systems-A 26 (3), 1007, 2010
Existence, mixing and approximation of invariant densities for expanding maps on R^r
R Murray
Nonlinear Analysis: Theory, Methods & Applications 45 (1), 37-72, 2001
Discrete approximation of invariant densities
RDA Murray
University of Cambridge, 1997
Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension
G Froyland, R Murray, D Terhesiu
Physical Review E 76 (3), 036702, 2007
Spectral degeneracy and escape dynamics for intermittent maps with a hole
G Froyland, R Murray, O Stancevic
Nonlinearity 24 (9), 2435, 2011
Duality and the computation of approximate invariant densities for nonsingular transformations
CJ Bose, R Murray
SIAM Journal on Optimization 18 (2), 691-709, 2007
Effects of dispersal and stochasticity on the presence–absence of multiple species
MH Mohd, R Murray, MJ Plank, W Godsoe
Ecological Modelling 342, 49-59, 2016
Optimal partition choice for invariant measure approximation for one-dimensional maps
R Murray
Nonlinearity 17 (5), 1623, 2004
Ulam's method for Lasota-Yorke maps with holes
C Bose, G Froyland, C González-Tokman, R Murray
SIAM Journal on Applied Dynamical Systems 13 (2), 1010-1032, 2014
A modified approach to objective surface generation within the Gauss-Newton parameter identification to ignore outlier data points
RAL Gray, PD Docherty, LM Fisk, R Murray
Biomedical Signal Processing and Control 30, 162-169, 2016
Effects of biotic interactions and dispersal on the presence-absence of multiple species
MH Mohd, R Murray, MJ Plank, W Godsoe
Chaos, Solitons & Fractals 99, 185-194, 2017
Maximum entropy estimates for risk-neutral probability measures with non-strictly-convex data
Journal of Optimization Theory and Applications 161 (1), 285-307, 2014
Polynomial decay of correlations in the generalized baker's transformation
C Bose, R Murray
International Journal of Bifurcations and Chaos 23 (8), 1350130, 2013
Effects of different dispersal patterns on the presence-absence of multiple species
MH Mohd, R Murray, MJ Plank, W Godsoe
Communications in Nonlinear Science and Numerical Simulation 56, 115-130, 2018
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