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The L\'evy walk process with rests is discussed. The jumping time is governed by an $\alpha$-stable distribution with $\alpha>1$ while a waiting time distribution is Poissonian and involves a position-dependent rate which reflects a…

统计力学 · 物理学 2017-10-11 A. Kamińska , T. Srokowski

L\'evy Flights are paradigmatic generalised random walk processes, in which the independent stationary increments---the "jump lengths"---are drawn from an $\alpha$-stable jump length distribution with long-tailed, power-law asymptote. As a…

统计力学 · 物理学 2020-08-26 A. Padash , A. V. Chechkin , B. Dybiec , I. Pavlyukevich , B. Shokri , R. Metzler

Driven by access to large volumes of movement data, the study of human mobility has grown rapidly over the past decades. The field has shown that human mobility is scale-free, proposed models to generate scale-free moving distance…

物理与社会 · 物理学 2025-07-17 Louis Boucherie , Benjamin F. Maier , Sune Lehmann

We investigate how localized inhomogeneity affects the geometry and stability of migratory bird formations. We use a lifting-line model with a horseshoe-vortex representation to describe the longitudinal dynamics of aerodynamic…

斑图形成与孤子 · 物理学 2026-05-15 Jiang Hui , Nariya Uchida

Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to coral reef resilience in ecology; therefore, quantifying these relationships is an important…

The relationship between urban mobility, social networks and socioeconomic status is complex and difficult to apprehend, notably due to the lack of data. Here we use mobile phone data to analyze the socioeconomic structure of spatial and…

物理与社会 · 物理学 2023-01-31 Maxime Lenormand , Horacio Samaniego

According to personality psychology, personality traits determine many aspects of human behaviour. However, validating this insight in large groups has been challenging so far, due to the scarcity of multi-channel data. Here, we focus on…

物理与社会 · 物理学 2018-11-12 Laura Alessandretti , Sune Lehmann , Andrea Baronchelli

Infectious diseases outbreaks are often characterized by a spatial component induced by hosts' distribution, mobility, and interactions. Spatial models that incorporate hosts' movements are being used to describe these processes, to…

物理与社会 · 物理学 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

The recent availability of electronic datasets containing large volumes of communication data has made it possible to study human behavior on a larger scale than ever before. From this, it has been discovered that across a diverse range of…

物理与社会 · 物理学 2015-05-08 Gordon J Ross , Tim Jones

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

物理与社会 · 物理学 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

物理与社会 · 物理学 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

Alignment interactions in active matter are typically modeled as relaxational dynamics toward local consensus. In unbounded systems, this makes alignment effectively decoupled from local density and therefore unable to sustain self-confined…

软凝聚态物质 · 物理学 2026-04-10 Julian Giraldo-Barreto , Viktor Holubec

Recent experiments (G. Ariel, et al., Nature Comm. 6, 8396 (2015)) revealed an intriguing behavior of swarming bacteria: they fundamentally change their collective motion from simple diffusion into a superdiffusive L\'{e}vy walk dynamics.…

统计力学 · 物理学 2017-04-05 Sergei Fedotov , Nickolay Korabel

Uncovering the mechanism behind the scaling law in human trajectories is of fundamental significance in understanding many spatio-temporal phenomena. In combination of the exploration and the preferential returns, we propose a simple…

物理与社会 · 物理学 2013-05-24 Xiao-Pu Han , Xiang-Wen Wang , Xiao-Yong Yan , Bing-Hong Wang

We show that energy concepts can contribute to the understanding of human travel behaviour. First, the average travel times for different modes of transportation are inversely proportional to the energy consumption rates measured for the…

统计力学 · 物理学 2009-11-10 Robert Koelbl , Dirk Helbing

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

The importance of understanding human mobility patterns has led many studies to examine their spatial-temporal scaling laws. These studies mainly reveal that human travel can be highly non-homogeneous with power-law scaling distributions of…

物理与社会 · 物理学 2021-10-14 Xiaoyan Feng , Huijun Sun , Bnaya Gross , Jianjun Wu , Daqing Li , Xin Yang , Dong Zhou , Ziyou Gao , Shlomo Havlin

Current studies on activity space are limited by the conceptualization of absolute physical space that fails to consider the heterogeneity of relational spaces reconstructed from spatial interactions of human movements between locations and…

物理与社会 · 物理学 2026-03-24 Zhicheng Deng , Zhaoya Gong , Jean-Claude Thill , Elizabeth C. Delmelle

Anomalous diffusion, manifest as a nonlinear temporal evolution of the position mean square displacement, and/or non-Gaussian features of the position statistics, is prevalent in biological transport processes. Likewise, collective behavior…

统计力学 · 物理学 2020-04-01 Andrea Cairoli , Chiu Fan Lee

Next location prediction is a critical task in human mobility modeling, enabling applications like travel planning and urban mobility management. Existing methods mainly rely on historical spatiotemporal trajectory data to train sequence…

机器学习 · 计算机科学 2026-01-01 Bangchao Deng , Lianhua Ji , Chunhua Chen , Xin Jing , Ling Ding , Bingqing QU , Pengyang Wang , Dingqi Yang