Tim Rogers
Profile
I am interested in understanding and predicting the behaviour of complicated random events and processes, in particular when there is network or spatial structure involved. Most of my work is connected to the idea of emergence: how large scale order can be created out of the random interactions of individual particles or organisms.
As you can see from the titles of my papers, the problems I work on come from a wide range of sources: from biochemistry to social dynamics. Find out more by visiting my personal homepage.
Publications
G. Rossberg, A., Rogers, T. and McKane, A. J., 2013. Are there species smaller than 1 mm? Proceedings of the Royal Society B: Biological Sciences, 280 (1767), 20131248.
Constable, G. W. A., McKane, A. J. and Rogers, T., 2013. Stochastic dynamics on slow manifolds. Journal of Physics A: Mathematical and Theoretical, 46 (29), 295002.
Caccioli, F., Dall'Asta, L., Galla, T. and Rogers, T., 2013. Voter models with conserved dynamics. Physical Review E, 87 (5), 052114.
McKane, A. J., Biancalani, T. and Rogers, T., 2013. Forthcoming. Stochastic pattern formation and spontaneous polarisation: The linear noise approximation and beyond. Bulletin of Mathematical Biology
Rogers, T., Clifford-Brown, W., Mills, C. and Galla, T., 2012. Stochastic oscillations of adaptive networks: application to epidemic modelling. Journal of Statistical Mechanics-Theory and Experiment, 2012 (August), P08018.
Rogers, T., McKane, A. J. and Rossberg, A. G., 2012. Demographic noise can lead to the spontaneous formation of species. EPL (Europhysics Letters), 97 (4), 40008.
Rogers, T. and McKane, A. J., 2012. Jamming and pattern formation in models of segregation. Physical Review E, 85 (4), 041136.
Biancalani, T., Rogers, T. and McKane, A. J., 2012. Noise-induced metastability in biochemical networks. Physical Review E, 86 (1), 010106(R).
Rogers, T., McKane, A. J. and Rossberg, A. G., 2012. Spontaneous genetic clustering in populations of competing organisms. Physical Biology, 9 (6), 066002.
Rogers, T. and McKane, A. J., 2011. A unified framework for Schelling's model of segregation. Journal of Statistical Mechanics-Theory and Experiment, 2011 (July), P07006.
Rogers, T., 2011. Maximum-entropy moment-closure for stochastic systems on networks. Journal of Statistical Mechanics-Theory and Experiment, 2011 (May), P05007.
Rogers, T., 2010. Universal sum and product rules for random matrices. Journal of Mathematical Physics, 51 (9), 093304.
Rogers, T., Pérez Vicente, C., Takeda, K. and Pérez Castillo, I., 2010. Spectral density of random graphs with topological constraints. Journal of Physics A: Mathematical and Theoretical, 43 (19), 195002.
Rogers, T. and Perez Castillo, I., 2009. Cavity approach to the spectral density of non-Hermitian sparse matrices. Physical Review E, 79, 012101.
Rogers, T., Takeda, K., Pérez Castillo, I. and Kühn, R., 2008. Cavity approach to the spectral density of sparse symmetric random matrices. Physical Review E, 78 (3), 031116.
