Linked from

The 84 pages that link to Monte Carlo method, each with the reason it gives.

• Discrete-event simulationCompared with: It samples outcomes without necessarily modeling a chronological sequence of events.

• Feynman–Kac formulaRelated: Path sampling can approximate the expectations that represent equation solutions.

• Multivariate normal distributionRelated: Multivariate normal sampling supplies correlated random inputs for simulations.

• Computational physicsRelated: Random sampling makes high-dimensional physical systems tractable when exhaustive calculation is impossible.

• Decision support systemRelated: It helps model uncertain outcomes when exact calculation is impractical.

• Monty Hall problemRelated: Repeated simulated games show switching wins about twice as often as staying.

• Random vectorRelated: Simulations often generate random vectors to represent jointly varying inputs.

• Computational scienceRelated: Sampling provides estimates when exact calculation is impractical.

• Discrete uniform distributionRelated: Uniform draws from finite sets can power simulations and randomized algorithms.

• Kathleen AntonelliRelated: ENIAC programmers later used the machine for calculations supporting Monte Carlo work.

• Lattice modelRelated: Monte Carlo updates sample lattice configurations to estimate thermodynamic observables.

• Law of the iterated logarithmRelated: The law gives an almost-sure scale for long-run sampling-error fluctuations in suitable independent simulations.

• Law of total expectationRelated: Stratifying samples by cases can estimate conditional means and recombine them by this law.

• Law of total varianceRelated: Nested simulations can estimate each conditional contribution to total variance.

• Snakes and LaddersRelated: Simulating many games estimates finishing times and win rates without solving every case analytically.

• Berry–Esseen theoremRelated: Normal approximations to simulation averages can be assessed through explicit convergence-rate bounds.

• Cavity methodCompared with: Sampling offers an alternative to solving cavity equations, especially when their assumptions fail.

• Game of chanceRelated: Simulations can test game odds and payout behavior when direct calculation is difficult.

• Kristen NygaardRelated: Nygaard’s early computing work included Monte Carlo methods before the Simula project.

• Outcome (probability)Related: Each simulated outcome contributes to an estimate.

• Continuous uniform distributionRelated: Uniform random numbers are a standard starting point for simulations.

• Torsten HägerstrandRelated: Hägerstrand used simulation to model the spread of innovations when detailed mechanisms were uncertain.

• Ballistic depositionRelated: Simulations implement random particle arrivals and measure the resulting growth statistics.

• Classical spin modelsRelated: Sampling configurations estimates thermodynamic properties of large spin systems.

• Dittert conjectureRelated: Sampling vertices repeatedly gives numerical estimates of the expected simplex volume.

• Dynamical system simulationCompared with: It estimates outcomes through sampling rather than explicitly evolving every state.

• General-purpose computing on graphics processing unitsRelated: Independent samples can often be generated and evaluated simultaneously on GPUs.

• Ioana DumitriuCompared with: Simulation can explore random matrices, while Dumitriu’s models also yield analytic structure.

• Lagrangian particle trackingRelated: Stochastic particle tracking uses random samples to represent unresolved turbulent transport.

• Materials modelingRelated: It samples configurations and thermodynamic states that direct trajectories may miss.

• Mathematical methods in physicsCompared with: Sampling offers an alternative when deterministic calculations scale poorly.

• Mean-field and cluster methodsCompared with: Sampling can retain fluctuations that deterministic mean-field equations suppress.

• Molecular modellingRelated: Molecular simulations use sampling moves to explore configurations without following physical time.

• War (card game)Related: Simulations can estimate game length and the frequency of ties.