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The quantum walk is a dynamical protocol which describes the motion of spinful particles on a lattice. Also, it has been demonstrated to be a powerful platform to explore topological quantum matter. Recently, the quantum walk in coherent…

量子物理 · 物理学 2018-09-19 Zi-Yong Ge , Heng Fan

Humans excel at robust bipedal walking in complex natural environments. In each step, they adequately tune the interaction of biomechanical muscle dynamics and neuronal signals to be robust against uncertainties in ground conditions.…

Quantum walks are a well-established model for the study of coherent transport phenomena and provide a universal platform in quantum information theory. Dynamically influencing the walker's evolution gives a high degree of flexibility for…

In this letter we introduce the concept of a driven quantum walk. This work is motivated by recent theoretical and experimental progress that combines quantum walks and parametric down- conversion, leading to fundamentally different…

量子物理 · 物理学 2014-08-29 Craig S. Hamilton , Regina Kruse , Linda Sansoni , Christine Silberhorn , Igor Jex

In trying to build humanoid robots that perform useful tasks in a world built for humans, we address the problem of autonomous locomotion. Humanoid robot planning and control algorithms for walking over rough terrain are becoming…

机器人学 · 计算机科学 2022-07-19 Duncan Calvert , Bhavyansh Mishra , Stephen McCrory , Sylvain Bertrand , Robert Griffin , Jerry Pratt

We study memory based random walk models to understand diffusive motion in crowded heterogeneous environment. The models considered are non-Markovian as the current move of the random walk models is determined by randomly selecting a move…

统计力学 · 物理学 2018-08-01 Sabeeha Hasnain , Upendra Harbola , Pradipta Bandyopadhyay

Ultra-dense crowds, in which physical contact between people cannot be avoided, pose major safety concerns. Nevertheless, the underlying dynamics driving their collective behaviours remain poorly understood. Existing dense crowd models,…

物理与社会 · 物理学 2026-01-12 Thomas Chatagnon , Mohcine Chraibi , Julien Pettré , Armin Seyfried , Antoine Tordeux

Hybrid track/wheel-legged robots combine the advantages of wheel-based and leg-based locomotion, granting adaptability across varied terrains through efficient transitions between rolling and walking modes. However, automating these…

机器人学 · 计算机科学 2024-04-04 Jie Wang , Krispin Davies

Pedestrian behavior prediction is one of the major challenges for intelligent driving systems in urban environments. Pedestrians often exhibit a wide range of behaviors and adequate interpretations of those depend on various sources of…

计算机视觉与模式识别 · 计算机科学 2020-12-02 Amir Rasouli , Tiffany Yau , Mohsen Rohani , Jun Luo

Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling gene expression in embryos. Such systems, generally described…

动力系统 · 数学 2023-05-10 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

Navigating our physical environment requires changing directions and turning. Despite its ecological importance, we do not have a unified theoretical account of non-straight-line human movement. Here, we present a unified optimality…

神经元与认知 · 定量生物学 2021-11-03 Geoffrey L. Brown , Nidhi Seethapathi , Manoj Srinivasan

Collective human movement is a hallmark of complex systems, exhibiting emergent order across diverse settings, from pedestrian flows to biological collectives. In high-speed scenarios, alignment interactions ensure efficient flow and…

物理与社会 · 物理学 2025-06-03 Debasish Sarker , Yi Zhang , Lynn K. Perry , Daniel S. Messinger , Chaoming Song

Quantum walks are referred to as quantum analogs to random walks in mathematics. They have been studied as quantum algorithms in quantum information for quantum computers. There are two types of quantum walks. One is the discrete-time…

量子物理 · 物理学 2024-06-26 Takuya Machida

The homotopy continuation method has been widely used in solving parametric systems of nonlinear equations. But it can be very expensive and inefficient due to singularities during the tracking even though both start and end points are…

数值分析 · 数学 2021-04-13 Wenrui Hao , Chunyue Zheng

Moving-habitat models track the density of a population whose suitable habitat shifts as a consequence of climate change. Whereas most previous studies in this area consider 1-dimensional space, we derive and study a spatially 2-dimensional…

数值分析 · 数学 2023-12-14 Jane Shaw MacDonald , Yves Bourgault , Frithjof Lutscher

Entanglements like vines and branches in natural settings or cords and pipes in human spaces prevent mobile robots from accessing many environments. Legged robots should be effective in these settings, and more so than wheeled or tracked…

机器人学 · 计算机科学 2023-09-12 Justin K. Yim , Jiming Ren , David Ologan , Selvin Garcia Gonzalez , Aaron M. Johnson

We investigate via extensive experimental data the dynamics of pedestrians walking in a corridor-shaped landing in a building at Eindhoven University of Technology. With year-long automatic measurements employing a Microsoft KinectTM…

物理与社会 · 物理学 2015-11-17 Alessandro Corbetta , Chung-min Lee , Adrian Muntean , Federico Toschi

Humans are highly adaptable, swiftly switching between different modes to progressively handle different tasks, situations and contexts. In Human-object interaction (HOI) activities, these modes can be attributed to two mechanisms: (1) the…

计算机视觉与模式识别 · 计算机科学 2023-07-25 Hung Tran , Vuong Le , Svetha Venkatesh , Truyen Tran

Random walks behave very differently for classical and quantum particles. Here we unveil a ubiquitous distinctive behavior of random walks of a photon in a one-dimensional lattice in the presence of a finite number of traps, at which the…

量子物理 · 物理学 2025-04-10 Stefano Longhi

A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach…