96 citations · 541 across the 25 of their papers we have counts for
16 papers · 1 filter
Generational variance reduction in Monte Carlo criticality simulations as a way of mitigating unwanted correlations
Kévin Fröhlicher, Eric Dumonteil, Loïc Thulliez +2
Monte Carlo criticality simulations are widely used in nuclear safety demonstrations, as they offer an arbitrarily precise estimation of global and local tallies while making very…
Percolation properties of the neutron population in nuclear reactors
Benjamin Dechenaux, Thomas Delcambre, Eric Dumonteil
Reactor physics aims at studying the neutron population in a reactor core under the influence of feedback mechanisms, such as the Doppler temperature effect. Numerical schemes to c…
Poisson-Box Sampling algorithms for three-dimensional Markov binary mixtures
Colline Larmier, Andrea Zoia, Fausto Malvagi +2
Particle transport in Markov mixtures can be addressed by the so-called Chord Length Sampling (CLS) methods, a family of Monte Carlo algorithms taking into account the effects of s…
Monte Carlo particle transport in random media: the effects of mixing statistics
Colline Larmier, Andrea Zoia, Fausto Malvagi +2
Particle transport in random media obeying a given mixing statistics is key in several applications in nuclear reactor physics and more generally in diffusion phenomena emerging in…
Finite-size effects and percolation properties of Poisson geometries
Coline Larmier, Eric Dumonteil, Fausto Malvagi +2
Random tessellations of the space represent a class of prototype models of heterogeneous media, which are central in several applications in physics, engineering and life sciences.…
Neutron fluctuations: the importance of being delayed
Bahram Houchmandzadeh, Eric Dumonteil, Alain Mazzolo +1
The neutron population in a nuclear reactor is subject to fluctuations in time and in space due to the competition of diffusion by scattering, births by fission events, and deaths…
The critical catastrophe revisited
Clélia de Mulatier, Eric Dumonteil, Alberto Rosso +1
The neutron population in a prototype model of nuclear reactor can be described in terms of a collection of particles confined in a box and undergoing three key random mechanisms:…
Clustering of branching Brownian motions in confined geometries
Andrea Zoia, Eric Dumonteil, Alain Mazzolo +2
We study the evolution of a collection of individuals subject to Brownian diffusion, reproduction and disappearance. In particular, we focus on the case where the individuals are i…
Properties of branching exponential flights in bounded domains
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
Branching random flights are key to describing the evolution of many physical and biological systems, ranging from neutron multiplication to gene mutations. When their paths evolve…
Branching exponential flights: travelled lengths and collision statistics
Andrea Zoia, Eric Dumonteil, Alain Mazzolo +1
The evolution of several physical and biological systems, ranging from neutron transport in multiplying media to epidemics or population dynamics, can be described in terms of bran…
Discrete Feynman-Kac formulas for branching random walks
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
Branching random walks are key to the description of several physical and biological systems, such as neutron multiplication, genetics and population dynamics. For a broad class of…
Counting statistics: a Feynman-Kac perspective
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
By building upon a Feynman-Kac formalism, we assess the distribution of the number of hits in a given region for a broad class of discrete-time random walks with scattering and abs…
Collision statistics for random flights with anisotropic scattering and absorption
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
For a broad class of random walks with anisotropic scattering kernel and absorption, we derive explicit formulas that allow expressing the moments of the collision number per…
Residence time and collision statistics for exponential flights: the rod problem revisited
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
Many random transport phenomena, such as radiation propagation, chemical/biological species migration, or electron motion, can be described in terms of particles performing {\em ex…
Collision number statistics for transport processes
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
Many physical observables can be represented as a particle spending some random time within a given domain. For a broad class of transport-dominated processes, we detail how it is…
Collision densities and mean residence times for -dimensional exponential flights
Andrea Zoia, Eric Dumonteil, Alain Mazzolo
In this paper we analyze some aspects of {\em exponential flights}, a stochastic process that governs the evolution of many random transport phenomena, such as neutron propagation,…