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Timetable
Dates
Lectures
Class sessions
Homeworks
Friday 12 Sep 2014
Introduction to Monte Carlo
Class session 01: The Markov matrix and the exponential convergence
Homework 01: Hopping models, Transfer matrices, Jamming
Friday 19 Sep 2014
Hard Spheres: Molecular dynamics and Monte Carlo
Class session 02: Twodimensional hard spheres: Sinai's billiard
Homework 02: The Fermi  Pasta  Ulam  Tsingou chain
Friday 26 Sep 2014
No Lecture  Homework week
No Class session Homework week
No new Homework
Friday 03 Oct 2014
Integration and Sampling:
From the Gaussian integral to Walker's method
Class session 03: Onedimensional Hard Spheres
Homework 03: The liquidsolid transition in two dimensions
Friday 10 Oct 2014
Errors and fluctuations
Class session 04:
Distribution of empirical averages and Central Limit Theorem
Homework 04: Error evaluation for a Markov chain
Friday 17 Oct 2014
No Lecture  Study week
No Class session Study week
No Homework  Study week
Friday 24 Oct 2014
Quantum Mechanics: From the density matrix to the Path Integral
Class session 05: the evolution operator
Homework 05: the Morse potential
Friday 31 Oct 2014
No Lecture  Holiday
No Class session  Holiday
No Homework  Holiday
Friday 07 Nov 2014
Quantum Mechanics: Lévy construction
Class session 06: method of images
Homework 06: error in quantum MonteCarlo simulations
Friday 14 Nov 2014
Quantum Mechanics: Many particles, Bosons
Class session 07: Thermodynamics of harmonic bosons
Homework 07: QMC for harmonic bosons
Friday 21 Nov
2014
Spin systems: Enumerations, Metropolis, Cluster algorithms
Class session 08: Heatbath algorithm for the Ising model
Homework 08: Local and cluster algorithms for the Ising model
Friday 28 Nov 2014
Ising Model: Dynamic Monte Carlo, Faster than the clock, BLK algorithm
Class session 09: Random sequential deposition
Homework 09: Dynamic Monte Carlo algorithms
Friday 05 Dec 2014
No Lecture
No Class session
No Homework
Friday 12 Dec 2014
Random paths
Class session 10: Simulated annealing for disks on the sphere
No Homework
Friday 19 Dec 2014
Correlated paths
Special Lecture in ENS,
in Conf IV (E224).
No Homework
Class session 03: Twodimensional hard spheres: Sinai's billiard
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Timetable
From the Gaussian integral to Walker's method
Distribution of empirical averages and Central Limit Theorem
2014
in Conf IV (E224).
Class session 03: Twodimensional hard spheres: Sinai's billiard