# Large deviations for the skew-detailed-balance lifted-Markov processes to sample the equilibrium distribution of the Curie–Weiss model

@article{Monthus2021LargeDF, title={Large deviations for the skew-detailed-balance lifted-Markov processes to sample the equilibrium distribution of the Curie–Weiss model}, author={C. Monthus}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2021}, volume={2021} }

Among the Markov chains breaking detailed-balance that have been proposed in the field of Monte-Carlo sampling in order to accelerate the convergence towards the steady state with respect to the detailed-balance dynamics, the idea of ‘lifting’ consists in duplicating the configuration space into two copies σ = ± and in imposing directed flows in each copy in order to explore the configuration space more efficiently. The skew-detailed-balance lifted-Markov-chain introduced by Turitsyn et al…

## 6 Citations

### Inhomogeneous asymmetric exclusion processes between two reservoirs: large deviations for the local empirical observables in the mean-field approximation

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2021

For a given inhomogeneous exclusion processes on N sites between two reservoirs, the trajectories probabilities allow to identify the relevant local empirical observables and to obtain the…

### Large deviations for metastable states of Markov processes with absorbing states with applications to population models in stable or randomly switching environment

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

The large deviations at level 2.5 are applied to Markov processes with absorbing states in order to obtain the explicit extinction rate of metastable quasi-stationary states in terms of their…

### Microcanonical conditioning of Markov processes on time-additive observables

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

The recent study by De Bruyne et al (2021 J. Stat. Mech. 123204), concerning the conditioning of the Brownian motion and of random walks on global dynamical constraints over a finite time-window T,…

### Markov trajectories: Microcanonical Ensembles based on empirical observables as compared to Canonical Ensembles based on Markov generators

- MathematicsThe European Physical Journal B
- 2022

The Ensemble of trajectories x (0 ≤ t ≤ T ) produced by the Markov generator M in a discrete conﬁguration space can be considered as ’Canonical’ for the following reasons : (C1) the probability of…

### Conditioning diffusion processes with killing rates

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

When the unconditioned process is a diffusion submitted to a space-dependent killing rate k(x→) , various conditioning constraints can be imposed for a finite time horizon T. We first analyze the…

### Anomalous dynamical large deviations of local empirical densities and activities in the pure and in the random kinetically constrained East model

- PhysicsThe European Physical Journal B
- 2022

The East model is the simplest one-dimensional kinetically-constrained model of N spins with a trivial equilibrium that displays anomalously large spatio-temporal fluctuations, with characteristic…

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