Zobrazeno 1 - 10
of 6 559
pro vyhledávání: '"Galla A"'
Strategies aimed at reducing the negative effects of long-term uncertainty and risk are common in biology, game theory, and finance, even if they entail a cost in terms of mean benefit. Here, we focus on the single mutant's invasion of a finite resid
Externí odkaz:
http://arxiv.org/abs/2409.16127
In the study of disordered systems, one often chooses a matrix of independent identically distributed interaction coefficients to represent the quenched random couplings between components, perhaps with some symmetry constraint or correlations betwee
Externí odkaz:
http://arxiv.org/abs/2409.12751
Autor:
Sidhom, Laura, Galla, Tobias
We use generating functionals to derive a dynamic mean-field description for generalised Lotka-Volterra systems with higher-order quenched random interactions. We use the resulting single effective species process to determine the stability diagram i
Externí odkaz:
http://arxiv.org/abs/2409.10990
We consider evolutionary games in which the agent selected for update compares their payoff to q neighbours, rather than a single neighbour as in standard evolutionary game theory. Through studying fixed point stability and fixation times for 2x2 gam
Externí odkaz:
http://arxiv.org/abs/2407.16380
Mathematical models of gene regulatory networks are widely used to study cell fate changes and transcriptional regulation. When designing such models, it is important to accurately account for sources of stochasticity. However, doing so can be comput
Externí odkaz:
http://arxiv.org/abs/2406.19109
Autor:
Galla, Tobias
This paper provides what is hopefully a self-contained set of notes describing the detailed steps of a generating-functional analysis of systems of generalised Lotka-Volterra equations with random interaction coefficients. Nothing in these notes is o
Externí odkaz:
http://arxiv.org/abs/2405.14289
Autor:
Kitching, Christopher R., Kauhanen, Henri, Abbott, Jordan, Gopal, Deepthi, Bermúdez-Otero, Ricardo, Galla, Tobias
In this paper we study networks of nodes characterised by binary traits that change both endogenously and through nearest-neighbour interaction. Our analytical results show that those traits can be ranked according to the noisiness of their transmiss
Externí odkaz:
http://arxiv.org/abs/2405.12023
A central concern of community ecology is the interdependence between interaction strengths and the underlying structure of the network upon which species interact. In this work we present a solvable example of such a feedback mechanism in a generali
Externí odkaz:
http://arxiv.org/abs/2404.08600
A binary mixture of two-different-sizes proliferating motile disks is studied. As growth is space-limited, we focus on the conditions such that there is coexistence of both large and small disks, or dominance of the larger disks. The study involves s
Externí odkaz:
http://arxiv.org/abs/2401.14844
Random matrix theory allows for the deduction of stability criteria for complex systems using only a summary knowledge of the statistics of the interactions between components. As such, results like the well-known elliptical law are applicable in a m
Externí odkaz:
http://arxiv.org/abs/2311.02006