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A new particle-based sampling and approximate inference method, based on electrostatics and Newton mechanics principles, is introduced with theoretical ground, algorithm design and experimental validation. This method simulates an…

Artificial Intelligence · Computer Science 2024-07-01 Yongchao Huang

Many simple natural phenomena are characterized by complex motion that appears random at first glance, but that often displays underlying patterns and behavior that can be clustered in groups. The movement of small pieces of paper falling…

Data Analysis, Statistics and Probability · Physics 2022-10-10 Arthur A. B. Pessa , Matjaz Perc , Haroldo V. Ribeiro

The contact process is a non-equilibrium Hamiltonian model that, even in one dimension, lacks an exact solution and has been extensively studied via Monte Carlo simulations, both in steady-state and time-dependent scenarios. Although the…

Statistical Mechanics · Physics 2025-04-15 Roberto da Silva , Eliseu Venites Filho , Henrique Almeida Fernandes , Paulo F. Gomes

In our modern society, people are daily confronted with an increasing amount of information of any kind. As a consequence, the attention capacities and processing abilities of individuals often saturate. People, therefore, have to select…

Physics and Society · Physics 2010-02-23 Mehdi Moussaid , Dirk Helbing , Guy Theraulaz

In this paper, we proposed a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework describing the transport in random systems since particles can work as mobile…

Soft Condensed Matter · Physics 2017-08-09 Eduardo Velasco Stock , Roberto da Silva , Henrique Almeida Fernandes

We analyse an additive-increase and multiplicative-decrease (aka growth-collapse) process that grows linearly in time and that experiences downward jumps at Poisson epochs that are (deterministically) proportional to its present position.…

Probability · Mathematics 2021-02-02 Remco van der Hofstad , Stella Kapodistria , Zbigniew Palmowski , Seva Shneer

Fifty years of evolution of the transportation field is revisited at a macro scale using scientometric analysis of all publications in all 39 journals indexed in the category of Transportation by the Web of Science. The size of the…

Digital Libraries · Computer Science 2021-07-28 Milad Haghani , Michiel C. J. Bliemer

The algorithms used for the optimal management of an ambulance fleet require an accurate description of the spatio-temporal evolution of the emergency events. In the last years, several authors have proposed sophisticated statistical…

Applications · Statistics 2023-05-01 Andrea Gilardi , Riccardo Borgoni , Jorge Mateu

In the so-called "microscopic" models of vehicular traffic, attention is paid explicitly to each individual vehicle each of which is represented by a "particle"; the nature of the "interactions" among these particles is determined by the…

Statistical Mechanics · Physics 2009-10-31 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

The stochastic motion in a nonhomogeneous medium with traps is studied and diffusion properties of that system are discussed. The particle is subjected to a stochastic stimulation obeying a general L\'evy stable statistics and experiences…

Statistical Mechanics · Physics 2015-06-11 Tomasz Srokowski

The number of recurrent events before a terminating event is often of interest. For instance, death terminates an individual's process of rehospitalizations and the number of rehospitalizations is an important indicator of economic cost. We…

Methodology · Statistics 2021-12-30 Willem van den Boom , Maria De Iorio , Marta Tallarita

We demonstrate a comprehensive framework that accounts for citation dynamics of scientific papers and for the age distribution of references. We show that citation dynamics of scientific papers is nonlinear and this nonlinearity has…

Physics and Society · Physics 2014-10-02 Michael Golosovsky , Sorin Solomon

We follow the time sequence of binary elastic collisions in a small collection of hard-core particles. Intervals between the collisions are characterized by the numbers of collisions of different pairs in a given time. It was shown…

Chaotic Dynamics · Physics 2012-02-21 Alexander Jonathan Vidgop , Itzhak Fouxon

Standard epidemic models based on compartmental differential equations are investigated under continuous parameter change as external forcing. We show that seasonal modulation of the contact parameter superimposed a monotonic decay needs a…

Populations and Evolution · Quantitative Biology 2020-08-13 Tamás Kovács

Scientific publications play a vital role in the career of a researcher. However, some articles become more popular than others among the research community and subsequently drive future research directions. One of the indicative signs of…

Digital Libraries · Computer Science 2021-04-13 Abdul Wahid , Rajesh Sharma , Chandra Sekhara Rao Annavarapu

The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of…

Condensed Matter · Physics 2009-10-28 Achille Giacometti , K. P. N. Murthy

Turbulent magnetic fields are to some extent a universal feature in astrophysical phenomena. Charged particles that encounter these turbulence get on average accelerated according to the so-called second-order Fermi process. However, in…

High Energy Astrophysical Phenomena · Physics 2024-11-25 Dominik Walter , Björn Eichmann

We study ballistic aggregation on a two dimensional square lattice, where particles move ballistically in between momentum and mass conserving coalescing collisions. Three models are studied based on the shapes of the aggregates: in the…

Statistical Mechanics · Physics 2023-10-20 Fahad Puthalath , Apurba Biswas , V. V. Prasad , R. Rajesh

It is shown here that in a flat, cold dark matter (CDM) dominated Universe with positive cosmological constant ($\Lambda$), modelled in terms of a Newtonian and collisionless fluid, particle trajectories are analytical in time…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-17 Cornelius Rampf , Barbara Villone , Uriel Frisch

Single-subject health data are becoming increasingly available thanks to advances in self-tracking technology (e.g., wearable devices, mobile apps, sensors, implants). Many users and health caregivers seek to use such observational time…

Applications · Statistics 2019-01-23 Eric Jay Daza
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