1 citations · 2 across the 10 of their papers we have counts for
10 papers
The disordered logistic map
Joseph W. Baron, Tobias Galla
The logistic map is a quintessential model in the study of low-dimensional chaos. High-dimensional chaos, on the other hand, presents itself in disordered systems with many interac…
A diffusion approximation for systems with frequent weak resetting
Tobias Galla
We develop a diffusion approximation for systems subject to fast random resetting by small amplitudes. Equivalently, this describes systems with frequent but small catastrophes. We…
Opinion dynamics: Statistical physics and beyond
Michele Starnini, Fabian Baumann, Tobias Galla +5
Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like p…
Navigating Uncertainty: Risk-Averse vs. Risk-Prone Strategies in Populations Facing Demographic and Environmental Stochasticity
Rubén Calvo Ibáñez, Miguel Ángel Muñoz, Tobias Galla
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 ben…
Generalised correlations in disordered dynamical systems: Insights from the many-species Lotka-Volterra model
Sebastian Holtedahl Castedo, Joshua Holmes, Joseph William Baron +1
In the study of disordered systems, one often chooses a matrix of independent identically distributed interaction coefficients to represent the quenched random couplings between co…
Higher-order interactions in random Lotka-Volterra communities
Laura Sidhom, Tobias Galla
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…
Efficient approximations of transcriptional bursting effects on the dynamics of a gene regulatory network
Jochen Kursawe, Antoine Moneyron, Tobias Galla
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…
Generating-functional analysis of random Lotka-Volterra systems: A step-by-step guide
Tobias Galla
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 equat…
Interaction networks in persistent Lotka-Volterra communities
Lyle Poley, Tobias Galla, Joseph W. Baron
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…
Eigenvalue spectra of finely structured random matrices
Lyle Poley, Tobias Galla, Joseph W. Baron
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…