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4 papers · 1 filter
Breakdown of the Finite-Time and -Population Scalings of the Large Deviation Function in the Large-Size Limit of a Contact Process
Esteban Guevara Hidalgo
In a recent study, the finite-time () and -population size () scalings in the evaluation of a large deviation function (LDF) estimator were analyzed by means of the cloning…
Finite-Time and -Size Scalings in the Evaluation of Large Deviation Functions: Numerical Approach in Continuous Time
Esteban Guevara Hidalgo, Takahiro Nemoto, Vivien Lecomte
Rare trajectories of stochastic systems are important to understand -- because of their potential impact. However, their properties are by definition difficult to sample directly.…
Finite-time and finite-size scalings in the evaluation of large-deviation functions: Analytical study using a birth-death process
Takahiro Nemoto, Esteban Guevara Hidalgo, Vivien Lecomte
The Giardinà-Kurchan-Peliti algorithm is a numerical procedure that uses population dynamics in order to calculate large deviation functions associated to the distribution of time-…
Discreteness Effects in Population Dynamics
Esteban Guevara Hidalgo, Vivien Lecomte
We analyse numerically the effects of small population size in the initial transient regime of a simple example population dynamics. These effects play an important role for the nu…