3 papers
cond-mat.stat-mech2022
Occupation time of a renewal process coupled to a discrete Markov chain
Théo Dessertaine, Claude Godrèche, Jean-Philippe Bouchaud
A semi-Markov process is one that changes states in accordance with a Markov chain but takes a random amount of time between changes. We consider the generalisation to semi-Markov…
math-ph2022
Will Random Cone-wise Linear Systems Be Stable?
Théo Dessertaine, Jean-Philippe Bouchaud
We consider a simple model for multidimensional cone-wise linear dynamics around cusp-like equilibria. We assume that the local linear evolution is either $\mathbf{v}^\prime=\mathb…
econ.GN2020
Out-of-Equilibrium Dynamics and Excess Volatility in Firm Networks
Théo Dessertaine, José Moran, Michael Benzaquen +1
We study the conditions under which input-output networks can dynamically attain a competitive equilibrium, where markets clear and profits are zero. We endow a classical firm netw…