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Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series
Diagram to monte carlo method Fermi gas particle condensed matter
2014/12/20
We use the diagrammatic Monte Carlo approach to solve the problem of a single spin-down fermion resonantly interacting with a Fermi gas of spin-up particles. Our solution is important for understandin...
On Stochastic Error and Computational Efficiency of the Markov Chains Monte Carlo Method
Monte Carlo simulation phase coexistence Gibbs ensemble molecular simulation multi-component system
2012/4/24
In Monte Carlo simulations, the thermal equilibria quantities are estimated by ensemble average over a sample set containing a large number of correlated samples. As the stochastic error of the simula...
A global Monte-Carlo method for fitting parameters of differential equation models
global Monte-Carlo method fitting parameters Quantitative Methods
2011/10/8
Abstract: Finding the parameter values of differential equation models from data is an important part of the modelling process. Large models and sparse data often make the parameters very difficult to...
A regression Monte-Carlo method for Backward Doubly Stochastic Differential Equations
regression Monte-Carlo method Stochastic Differential Equations Probability
2011/8/30
Abstract: This paper extends the idea of E.Gobet, J.P.Lemor and X.Warin from the setting of Backward Stochastic Differential Equations to that of Backward Doubly Stochastic Differential equations. We ...
Simulation of equilibrated states via molecular Monte Carlo method of systems connected to 3 reservoirs
Simulation of equilibrated states systems connected to 3 reservoirs
2010/11/22
Metastable structures, e.g. amorphous solids of colloids [1] and stalks in membrane fusion
[2, 3], are observed in various systems. Such non-equilibrium states often have long
lifetimes and cause di...
Implementation of a Markov Chain Monte Carlo method to inorganic aerosol modeling of observations from the MCMA-2003 campaign – Part II: Model application to the CENICA, Pedregal and Santa Ana sites
Markov Chain Monte Carlo method inorganic aerosol CENICA Pedregal Santa Ana sites
2009/1/16
A Markov Chain Monte Carlo model for integrating the observations of inorganic species with a thermodynamic equilibrium model was presented in Part I of this series. Using observations taken at three ...
Implementation of a Markov Chain Monte Carlo method to inorganic aerosol modeling of observations from the MCMA-2003 campaign – Part I: Model description and application to the La Merced site
Markov Chain Monte Carlo method inorganic aerosol modeling Model description La Merced site
2009/1/16
The equilibrium inorganic aerosol model ISORROPIA was embedded in a Markov Chain Monte Carlo algorithm to develop a powerful tool to analyze aerosol data and predict gas phase concentrations where the...
Monte Carlo method for finding the solution of Dirichlet partial differential equations
Markov Chain Monte Carlo Dirichlet
2010/9/15
In this paper we present a new Monte Carlo algorithm for finding the solution of Dirichlet partial differential equations (DPDE). Here, we show the solution of a given DPDE, can be found by a new effi...