5 papers
The Swapping Mechanism for Interacting Diffusions: Framework, Comparison with Switching, and an Exactly Solvable Example
José Julián Díaz-Pérez, Roberto Mulet
We develop a rigorous framework for the swapping mechanism for two interacting jump-diffusion processes: each particle evolves independently but their positions are exchanged at ra…
The Longest Increasing Subsequence Problem revisited
Silvio Franz, Roberto Mulet
The Longest Increasing Subsequence problem - a classic combinatorial challenge with deep connections to statistical mechanics- exhibits a rich thermodynamic landscape. Introducing…
Sparse Interactions Reshape Stability in Random Lotka-Volterra Dynamics
Mattia Tarabolo, Luca Dall'Asta, Roberto Mulet
Classical approaches to ecological stability rely on fully connected interaction models, yet real ecosystems are sparse and structured--a feature that qualitatively reshapes their…
Diluting Restricted Boltzmann Machines
C. Díaz-Faloh, R. Mulet
Recent advances in artificial intelligence have relied heavily on increasingly large neural networks, raising concerns about their computational and environmental costs. This paper…
Exactly Solvable Model of Random Walks with Stochastic Exchange
José Julian Díaz-Pérez, R. Mulet
We solve exactly the non-equilibrium dynamics of two discrete random walkers moving in channels with transition rates that swap positions at a rate . We compute exact…