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For any graph having a suitable uniform Poincare inequality and volume growth regularity, we establish two-sided Gaussian transition density estimates and parabolic Harnack inequality, for constant speed continuous time random walks…

概率论 · 数学 2018-12-04 Amir Dembo , Ruojun Huang , Tianyi Zheng

Intuition suggests that passage times across a region increases with the number of barriers along the path. Can this fail depending on the nature of the barrier? To probe this fundamental question, we exactly solve for the first passage…

统计力学 · 物理学 2024-07-31 Moumita Dasgupta , Sougata Guha , Leon Armbruster , Dibyendu Das , Mithun K. Mitra

We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of Moussaid et al, PNAS 2011, where the pedestrians are supposed to have constant speeds. This IBM supposes that…

数学物理 · 物理学 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Mehdi Moussaid , Julien Pettré , Guy Theraulaz

Various methods to automate traffic data collection have recently been developed by many researchers. A macroscopic data collection through image processing has been proposed. For microscopic traffic flow data, such as individual speed and…

计算机视觉与模式识别 · 计算机科学 2016-09-09 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

We identify a fundamental phenomenon of heterogeneous one dimensional random walks: the escape (traversal) time is maximized when the heterogeneity in transition probabilities forms a pyramid-like potential barrier. This barrier corresponds…

概率论 · 数学 2020-07-29 Asaf Cassel , Shie Mannor , Guy Tennenholtz

Pedestrian crowding occurs more frequent. As a result of the increasing pedestrian demand in public space, the limits of pedestrian spaces are of increasing interest. Some research on the maximum demand that can flow through a cross-section…

物理与社会 · 物理学 2019-08-21 Dorine C. Duives , Martijn Sparnaaij , Winnie Daamen , Serge P. Hoogendoorn

Understanding the complex behavior of pedestrians walking in crowds is a challenge for both science and technology. In particular, obtaining reliable models for crowd dynamics, capable of exhibiting qualitatively and quantitatively the…

物理与社会 · 物理学 2018-04-12 Alessandro Corbetta , Luca Bruno , Adrian Muntean , Federico Toschi

The pedestrian flow is one of the most complex systems, involving large populations of interacting agents. Models at microscopic and macroscopic scales offer different advantages for studying related problems. In general, microscopic models…

适应与自组织系统 · 物理学 2026-01-27 Liangze Yang , Hui Yu , Jie Du

We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states are localized or extended, homogeneous…

统计力学 · 物理学 2009-10-31 Martin Treiber , Ansgar Hennecke , Dirk Helbing

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

物理与社会 · 物理学 2025-04-24 Piotr Nyczka , Pratik Mullick

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

统计力学 · 物理学 2009-10-31 Dirk Helbing

Recent years have witnessed an increased focus on interpretability and the use of machine learning to inform policy analysis and decision making. This paper applies machine learning to examine travel behavior and, in particular, on modeling…

机器学习 · 计算机科学 2019-02-11 Xilei Zhao , Xiang Yan , Pascal Van Hentenryck

We present the pedestrian patterns dataset for autonomous driving. The dataset was collected by repeatedly traversing the same three routes for one week starting at different specific timeslots. The purpose of the dataset is to capture the…

计算机视觉与模式识别 · 计算机科学 2020-01-08 Kasra Mokhtari , Alan R. Wagner

This paper presents a new approach to behavioral-social dynamics of human crowds. First order models are derived based on mass conservation at the macroscopic scale, while methods of the kinetic theory are used to model the decisional…

物理与社会 · 物理学 2015-01-14 Nicola Bellomo , Stefano Berrone , Livio Gibelli , Alexandre Pieri

This paper presents entropy maps, an approach to describing and visualising uncertainty among alternative potential movement intentions in pedestrian simulation models. In particular, entropy maps show the instantaneous level of randomness…

人机交互 · 计算机科学 2019-09-10 Luca Crociani , Giuseppe Vizzari , Stefania Bandini

The effects of real-time provision of travel-time information on the behaviour of drivers are considered. The model of Marecek et al. [arXiv:1406.7639, Int. J. Control 88(10), 2015] is extended to consider uncertainty in the response of a…

最优化与控制 · 数学 2017-05-26 Jakub Marecek , Robert Shorten , Jia Yuan Yu

The patterns of motion of mobile agents has received recently wide attention in the literature. There is a number of recent studies centered around the motion behavior of many agents ranging from albatrosses to human beings. Special…

适应与自组织系统 · 物理学 2011-04-26 R. Mansilla

Previous studies have shown that human movement is predictable to a certain extent at different geographic scales. Existing prediction techniques exploit only the past history of the person taken into consideration as input of the…

物理与社会 · 物理学 2013-07-17 Manlio De Domenico , Antonio Lima , Mirco Musolesi

Followership is generally defined as a strategy that evolved to solve social coordination problems, and particularly those involved in group movement. Followership behaviour is particularly interesting in the context of road-crossing…

物理与社会 · 物理学 2018-05-31 Marie Pele , Jean-Louis Deneubourg , Cedric Sueur

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

适应与自组织系统 · 物理学 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola