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We consider a Spatial Markov Chain model for the spread of viruses. The model is based on the principle to represent a graph connecting nodes, which represent humans. The vertices between the nodes represent relations between humans. In…

Populations and Evolution · Quantitative Biology 2020-04-14 Fred Vermolen

We study the diffusion of influence in random multiplex networks where links can be of $r$ different types, and for a given content (e.g., rumor, product, political view), each link type is associated with a content dependent parameter…

Physics and Society · Physics 2012-09-11 Osman Yagan , Virgil Gligor

We propose an extended local-world evolving network model including a triad formation step. In the process of network evolution, random fluctuation in the number of new edges is involved. We derive analytical expressions for degree…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Lili Rong , Bing Wang , Shuigeng Zhou , Jihong Guan

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is described by a Follow-the-Leader model. From a mathematical…

Physics and Society · Physics 2020-02-25 Rinaldo M. Colombo , Helge Holden , Francesca Marcellini

Understanding traffic statics and dynamics in urban networks is critical to develop effective control and management strategies. In this paper, we provide a novel approach to study the traffic statics and dynamics in a signalized…

Dynamical Systems · Mathematics 2015-06-11 Qi-Jian Gan , Wen-Long Jin , Vikash V. Gayah

Understanding the interaction between multiple agents is crucial for realistic vehicle trajectory prediction. Existing methods have attempted to infer the interaction from the observed past trajectories of agents using pooling, attention,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Daehee Park , Hobin Ryu , Yunseo Yang , Jegyeong Cho , Jiwon Kim , Kuk-Jin Yoon

This paper presents an analytical modeling framework for partially automated traffic, incorporating cascading driver intervention behaviors. In this framework, drivers of partially automated vehicles have the flexibility to switch driving…

Dynamical Systems · Mathematics 2025-05-09 Zihao Li , Fan Pu , Soyoung Ahn , Yang Zhou

In this paper, we propose a novel model that describes how the traffic evolution on a highway stretch is affected by the presence of a service station. The presented model enhances the classical CTM dynamics by adding the dynamics…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Carlo Cenedese , Michele Cucuzzella , Antonella Ferrara , John Lygeros

We present here a study of the clustering and cycles present in the graph of Internet at the Autonomous Systems level. Even if the whole structure is changing with time, we present some evidence that the statistical distributions of cycles…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ginestra Bianconi , Guido Caldarelli , Andrea Capocci

Motion prediction of surrounding vehicles is one of the most important tasks handled by a self-driving vehicle, and represents a critical step in the autonomous system necessary to ensure safety for all the involved traffic actors. Recently…

Robotics · Computer Science 2020-06-16 Sai Yalamanchi , Tzu-Kuo Huang , Galen Clark Haynes , Nemanja Djuric

Previous studies in predicting crash risks primarily associated the number or likelihood of crashes on a road segment with traffic parameters or geometric characteristics, usually neglecting the impact of vehicles' continuous movement and…

Machine Learning · Computer Science 2025-07-03 Tianheng Zhu , Ling Wang , Yiheng Feng , Wanjing Ma , Mohamed Abdel-Aty

We offer a solution to a long-standing problem in the physics of networks, the creation of a plausible, solvable model of a network that displays clustering or transitivity -- the propensity for two neighbors of a network node also to be…

Statistical Mechanics · Physics 2009-08-13 M. E. J. Newman

Route-level travel time reliability requires characterizing the distribution of total travel time across correlated segments -- a problem where existing methods either assume independence (fast but miscalibrated) or model dependence via…

Applications · Statistics 2026-02-10 Vadim Sokolov , Refik Soyer

Understanding the dynamics of road networks has theoretical implications for urban science and practical applications for sustainable long-term planning. Various generative models to explain road network growth have been introduced in the…

Physics and Society · Physics 2021-10-01 Juste Raimbault

We study the impact of disruptions on road networks, and the recovery process after the disruption is removed from the system. Such disruptions could be caused by vehicle breakdown or illegal parking. We analyze the transient behavior using…

Cellular Automata and Lattice Gases · Physics 2014-05-27 Lele Zhang , Timothy M. Garoni , Jan de Gier

We present an evolutionary game theoretic approach to study node cooperation behavior in wireless ad hoc networks. Evolutionary game theory (EGT) has been used to study the conditions governing the growth of cooperation behavior in…

Networking and Internet Architecture · Computer Science 2013-01-08 Abhik Banerjee , Vincent Gauthier , Houda Labiod , Hossam Afifi

As autonomous driving technology progresses, the need for precise trajectory prediction models becomes paramount. This paper introduces an innovative model that infuses cognitive insights into trajectory prediction, focusing on perceived…

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

Physics and Society · Physics 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim
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