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- Tim R. Rogers, Isaac PÃ©rez Castillo, R. Kuehn, Koujin Takeda
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

The spectral density of various ensembles of sparse symmetric random matrices is analyzed using the cavity method. We consider two cases: matrices whose associated graphs are locally treelike, andâ€¦ (More)

- A. G. Rossberg, Tim R. Rogers, Alan J. McKane
- Proceedings. Biological sciences
- 2013

The rapid advance in genetic sequencing technologies has provided an unprecedented amount of data on the biodiversity of meiofauna. It was hoped that these data would allow the identification andâ€¦ (More)

- Tim R. Rogers, Isaac PÃ©rez Castillo
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

The spectral densities of ensembles of non-Hermitian sparse random matrices are analyzed using the cavity method. We present a set of equations from which the spectral density of a given ensemble canâ€¦ (More)

The theory of slow manifolds is an important tool in the study of deterministic dynamical systems, giving a practical method by which to reduce the number of relevant degrees of freedom in a model,â€¦ (More)

- Tim R. Rogers
- 2015

Which nodes are most vulnerable to an epidemic spreading through a network, and which carry the highest risk of causing a major outbreak if they are the source of the infection? Here we show howâ€¦ (More)

- A. G. Rossberg, Tim R. Rogers, Alan J. McKane
- Proceedings. Biological sciences
- 2014

Cite this article: Rossberg AG, Rogers T, McKane AJ. 2014 Current noise-removal methods can create false signals in ecogenomic data. In a recent article [1], we examined a simple and rather genericâ€¦ (More)

- Tommaso Biancalani, Tim R. Rogers, Alan J. McKane
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

Intracellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that theâ€¦ (More)

- Tim R. Rogers
- 2011

Moment-closure methods are popular tools to simplify the mathematical analysis of stochastic models defined on networks, in which high dimensional joint distributions are approximated (often by someâ€¦ (More)

- Jacopo Grilli, Tim R. Rogers, Stefano Allesina
- Nature communications
- 2016

Networks composed of distinct, densely connected subsystems are called modular. In ecology, it has been posited that a modular organization of species interactions would benefit the dynamicalâ€¦ (More)

Adaptive-network models are typically studied using deterministic differential equations which approximately describe their dynamics. In simulations, however, the discrete nature of the network givesâ€¦ (More)