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155 papers · 1 filter
Numerical methods for quasi-stationary distributions
Sara Oliver-Bonafoux, Javier Aguilar, Tobias Galla +1
In stochastic processes with absorbing states, the quasi-stationary distribution provides valuable insights into the long-term behaviour prior to absorption. In this work, we revis…
The Limits of Inference in Complex Systems: When Stochastic Models Become Indistinguishable
Javier Aguilar, Miguel A. Muñoz, Sandro Azaele
Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framewo…
Geometric Criticality in Scale-Invariant Networks
Lorenzo Lucarini, Giulio Cimini, Pablo Villegas
Dimension in physical systems determines universal properties at criticality. Yet, the impact of structural perturbations on dimensionality remains largely unexplored. Here, we cha…
Making rare events typical in -dimensional chaotic maps
Yllari K. González-Koda, Ricardo Gutiérrez, Carlos Pérez-Espigares
Due to the deterministic nature of chaotic systems, fluctuations in their trajectories arise solely from the choice of initial conditions. Some of these dynamical fluctuations may…
Critical behavior of a programmable time-crystal lattice gas
R. Hurtado-Gutiérrez, C. Pérez-Espigares, P. I. Hurtado
Time crystals are many-body systems whose ground state spontaneously breaks time-translation symmetry and thus exhibits long-range spatiotemporal order and robust periodic motion.…
Laplacian Renormalization Group: An introduction to heterogeneous coarse-graining
Guido Caldarelli, Andrea Gabrielli, Tommaso Gili +1
The renormalization group (RG) constitutes a fundamental framework in modern theoretical physics. It allows the study of many systems showing states with large-scale correlations a…