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The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

We study the motion of an elastic object driven in a disordered environment in presence of both dissipation and inertia. We consider random forces with the statistics of random walks and reduce the problem to a single degree of freedom. It…

Disordered Systems and Neural Networks · Physics 2013-08-22 Pierre Le Doussal , Aleksandra Petkovic , Kay Jörg Wiese

Statistical distributions with heavy tails are ubiquitous in natural and social phenomena. Since the entries in heavy tail have disproportional significance, the knowledge of its exact shape is very important. Citations of scientific papers…

Physics and Society · Physics 2015-06-05 Michael Golosovsky , Sorin Solomon

Ambulance services worldwide are of vital importance to population health. Timely responding to incidents by dispatching an ambulance vehicle to the location a call came from can offer significant benefits to patient care across a number of…

Computers and Society · Computer Science 2019-02-28 Gergana Todorova , Anastasios Noulas

Predicting ambulance demand accurately at a fine resolution in time and space (e.g., every hour and 1 km$^2$) is critical for staff / fleet management and dynamic deployment. There are several challenges: though the dataset is typically…

Machine Learning · Statistics 2016-06-20 Zhengyi Zhou

This paper is framed in a series of studies on attraction-repulsion chemotaxis models combining different effects: nonlinear diffusion and sensitivities and logistic sources, for the dynamics of the cell density, and consumption and/or…

Analysis of PDEs · Mathematics 2023-05-17 Tongxing Li , Silvia Frassu , Giuseppe Viglialoro

We propose and study a fully efficient method to estimate associations of an exposure with disease incidence when both, incident cases and prevalent cases, i.e. individuals who were diagnosed with the disease at some prior time point and…

Methodology · Statistics 2018-03-20 Marlena Maziarz , Yukun Liu , Jing Qin , Ruth Pfeiffer

Particle acceleration at plasma shocks appears to be ubiquitous in the universe, spanning systems in the heliosphere, supernova remnants, and relativistic jets in distant active galaxies and gamma-ray bursts. This review addresses some of…

Astrophysics · Physics 2008-11-26 Matthew G. Baring

This article introduces autocorrelograms for time series of point processes. Such time series usually arise when a longer temporal or spatio-temporal point process is sliced into smaller time units; for example, when an annual process is…

Methodology · Statistics 2025-08-25 Daniel Gervini

Predicting the popularity of scientific publications has attracted many attentions from various disciplines. In this paper, we focus on the popularity prediction problem of scientific papers, and propose an age-based diffusion (AD) model to…

Digital Libraries · Computer Science 2020-10-19 Yanbo Zhou , Qu Li , Xuhua Yang , Hongbing cheng

We consider the stochastic ranking process with space-time dependent jump rates for the particles. The process is a simplified model of the time evolution of the rankings such as sales ranks at online bookstores. We prove that the joint…

Probability · Mathematics 2013-01-01 Tetsuya Hattori , Seiichiro Kusuoka

We study the arrival time distribution of overdamped particles driven by a constant force in a piecewise linear random potential which generates the dichotomous random force. Our approach is based on the path integral representation of the…

Statistical Mechanics · Physics 2007-09-06 S. I. Denisov , M. Kostur , E. S. Denisova , P. Hänggi

The rapid and unregulated dissemination of information in the digital era has amplified the global "infodemic," complicating the identification of high quality information. We present a lightweight, interpretable and non-invasive framework…

Social and Information Networks · Computer Science 2025-09-09 Anthony Lopes Temporao , Mickael Temporão , Corentin Vande Kerckhove , Flavio Abreu Araujo

We present a collection of eight data sets, from state-of-the-art experiments and numerical simulations on turbulent velocity statistics along particle trajectories obtained in different flows with Reynolds numbers in the range $R_\lambda…

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

This paper offers a qualitative insight into the convergence of Bayesian parameter inference in a setup which mimics the modeling of the spread of a disease with associated disease measurements. Specifically, we are interested in the…

Statistics Theory · Mathematics 2022-12-08 Samuel Bronstein , Stefan Engblom , Robin Marin

In this paper we use several approaches to analyse a scientific journal as a complex system and to make a possibly more complete description of its current state and evolution. Methods of complex networks theory, statistics, and queueing…

Data Analysis, Statistics and Probability · Physics 2007-07-26 O. Mryglod , Yu. Holovatch

Queuing models provide insight into the temporal inhomogeneity of human dynamics, characterized by the broad distribution of waiting times of individuals performing tasks. We study the queuing model of an agent trying to execute a task of…

Physics and Society · Physics 2012-06-05 Hang-Hyun Jo , Raj Kumar Pan , Kimmo Kaski

We consider infinite particle system on the positive half-line moving independently of each other. When a particle hits the boundary it immediately disappears, and the boundary moves to the right on some fixed quantity (particle size). We…

Probability · Mathematics 2012-01-17 V. A. Malyshev , A. A. Zamyatin

Accident grouping is a crucial step in identifying accident-prone locations. Among the different accident grouping modes, clustering methods present excellent performance for discovering different distributions of accidents in space. This…

Machine Learning · Computer Science 2022-02-11 Fagner Sutel de Moura , Christine Tessele Nodari