84 citations · 874 across the 39 of their papers we have counts for
37 papers · 1 filter
Unbiasedness and Optimization of Regional Weight Cancellation
Hunter Belanger, Davide Mancusi, Andrea Zoia
The Monte Carlo method is often used to simulate systems which can be modeled by random walks. In order to calculate observables, in many implementations the "walkers" carry a stat…
Space and time correlations for diffusion models with prompt and delayed birth-and-death events
Théophile Bonnet, Davide Mancusi, Andrea Zoia
Understanding the statistical properties of a collection of individuals subject to random displacements and birth-and-death events is key to several applications in physics and lif…
Exact weight cancellation in Monte Carlo eigenvalue transport problems
Hunter Belanger, Davide Mancusi, Andrea Zoia
Random walks are frequently used as a model for very diverse physical phenomena. The Monte Carlo method is a versatile tool for the study of the properties of systems modelled as r…
Strongly constrained stochastic processes: the multi-ends Brownian bridge
Coline Larmier, Alain Mazzolo, Andrea Zoia
In a recent article, Krapivsky and Redner (J. Stat. Mech. 093208 (2018)) established that the distribution of the first hitting times for a diffusing particle subject to hitting an…
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 Chord Length Sampling for -dimensional Markov binary mixtures
Colline Larmier, Adam Lam, Patrick Brantley +3
The Chord Length Sampling (CLS) algorithm is a powerful Monte Carlo method that models the effects of stochastic media on particle transport by generating on-the-fly the material i…
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…
Benchmark solutions for transport in -dimensional Markov binary mixtures
Coline Larmier, F-X Hugot, Fausto Malvagi +2
Linear particle transport in stochastic media is key to such relevant applications as neutron diffusion in randomly mixed immiscible materials, light propagation through engineered…
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.…
Occupation time statistics of the random acceleration model
Hermann Joel Ouandji Boutcheng, Thomas Bouetou Bouetou, Theodore W. Burkhardt +3
The random acceleration model is one of the simplest non-Markovian stochastic systems and has been widely studied in connection with applications in physics and mathematics. Howeve…
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…
Cauchy's formulas for random walks in bounded domains
Alain Mazzolo, Clélia de Mulatier, Andrea Zoia
Cauchy's formula was originally established for random straight paths crossing a body and basically relates the average chord length through to the r…
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,…
Time to reach the maximum for a random acceleration process
Satya N. Majumdar, Alberto Rosso, Andrea Zoia
We study the random acceleration model, which is perhaps one of the simplest, yet nontrivial, non-Markov stochastic processes, and is key to many applications. For this non-Markov…
Hitting probability for anomalous diffusion processes
Satya N. Majumdar, Alberto Rosso, Andrea Zoia
We present the universal features of the hitting probability , the probability that a generic stochastic process starting at and evolving in a box hits the uppe…