It is shown that the heart of the method consists in suitably describing, in a"non-classical"manner, photons steps starting from fixed light sources or from boundaries separating regions of the medium with different optical properties.
To give a better intuition of the importance of these particular photon steplengths, it is also shown numerically that the described approach is essential to preserve the invariance property for light propagation in anomalous media.
Monte Carlo simulations are a unique tool to check the response of a detector
and to monitor its performance. For a deep-sea neutrino telescope, the
variability of the environmental conditions that ca
In this thesis, we studied the bosonic BFSS and IKKT matrix models using Monte Carlo simulations. First, we explored some toy models to check the validity of the numerical simulations. Then we simulat
To introduce the heterogeneous multiscale (HetMS) model for Monte Carlo
simulations of gold nanoparticle dose-enhanced radiation therapy (GNPT), a
model characterized by its varying levels of detail o
We make use of concepts from differential geometry and stochastic calculus on riemannian manifolds to geometrically adapt a stochastic differential equation with a non-trivial drift term.
This adaptation is also referred to as a stochastic development.
Objective: This study aimed at investigating through Monte Carlo simulations
the limitations of a novel hybrid Cerenkov-scintillation detector and the
associated method for irradiation angle measureme
Banks and financial institutions all over the world manage portfolios
containing tens of thousands of customers. Not all customers are high
credit-worthy, and many possess varying degrees of risk to t
We characterize a Hawkes point process with kernel proportional to the
probability density function of Mittag-Leffler random variables. This kernel
decays as a power law with exponent $\beta +1 \in (1
We provide a deepened study of autocorrelations in Neural Markov Chain Monte
Carlo simulations, a version of the traditional Metropolis algorithm which
employs neural networks to provide independent p
We search for possible deviations from the expectations of the concordance
$\Lambda$CDM model in the expansion history of the Universe by analysing the
Pantheon Type Ia Supernovae (SnIa) compilation a
We study the confinement/deconfinement transition in the d0-brane matrixmodel (often called the bfss matrix model) and its one-parameter deformation(the bmn matrix model) numerically by lattice monte carlo simulations.
Our results confirm general expectations from the dual string/m-theory picture for strong coupling.
The ultra-cold and weakly-coupled Fermi gas in two spatial dimensions is
studied in an effective field theory framework. Universal corrections to the
energy density are computed to three orders in the
We study real tensor eigenvalue/vector distributions for real symmetric order-three random tensors with the gaussian distribution as the simplest case.
We first rewrite this problem as the computation of a partition function of a four-fermi theory, and find that it seems difficult to compute it exactly, and we apply an approximation using a self-consistency equation for two-point functions and obtain an analytic expression.
The origin of negative weighted events in the s-mc@nlo method is reviewed and mechanisms to reduce the negative weight fraction in simulations with the sherpa event generator are presented, with a focus on v+jets and tt+jets simulations.
Parallelized monte-carlo simulations have been used to study the effect of non-uniform mean and variation order on the results of the simulations.
In parallelized simulations,
the order of summation is not always the same and may create artificial randomness in results which ought to be reproducible.
Generative modeling is a promising task for near-term quantum devices, which
can use the stochastic nature of quantum measurements as random source. So
called Born machines are purely quantum models a
The high cost and low image quality traditionally associated with proton
computed tomography (pCT) have prevented it from seeing significant use in
clinical settings. A cheap, compact, high-density sc
The autoregressive neural networks are emerging as a powerful computational
tool to solve relevant problems in classical and quantum mechanics. One of
their appealing functionalities is that, after th
We study the XY model on a spherical surface inspired by recently realized
spherically confined atomic gases. Instead of a traditional latitude-longitude
lattice, we introduce a much more homogeneous