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Discrete time quantum walks (DTQWs) are nontrivial generalizations of random walks with a broad scope of applications. In particular, they can be used as computational primitives, and they are suitable tools for simulating other quantum…

Quantum Physics · Physics 2015-02-13 Bálint Kollár , Tamás Kiss , Igor Jex

In this paper we focus our attention on a particle that follows a unidirectional quantum walk, an alternative version of the nowadays widespread discrete-time quantum walk on a line. Here the walker at each time step can either remain in…

Quantum Physics · Physics 2013-08-01 Miquel Montero

Using spectral graph theory, we show how to obtain inequalities for the number of walks in graphs from nonnegative polynomials and present a new family of such inequalities.

Discrete Mathematics · Computer Science 2023-03-28 Nadja Willenborg , Sven Kosub

Walking is one of the most common modes of terrestrial locomotion for humans. Walking is essential for humans to perform most kinds of daily activities. When a person walks, there is a pattern in it, and it is known as gait. Gait analysis…

Human-Computer Interaction · Computer Science 2022-08-04 Md Shahriar Tasjid , Ahmed Al Marouf

We study electric quantum walks in two dimensions considering Grover, Alternate, Hadamard, and DFT quantum walks. In the Grover walk the behaviour under an electric field is easy to summarize: when the field direction coincides with the x…

Quadruped animals are capable of exhibiting a diverse range of locomotion gaits. While progress has been made in demonstrating such gaits on robots, current methods rely on motion priors, dynamics models, or other forms of extensive manual…

Robotics · Computer Science 2024-02-23 David DeFazio , Yohei Hayamizu , Shiqi Zhang

A common approach to the generation of walking patterns for humanoid robots consists in adopting a layered control architecture. This paper proposes an architecture composed of three nested control loops. The outer loop exploits a robot…

A method for online identification of group of moving objects in the video is proposed in this paper. This method at each frame identifies group of tracked objects with similar local instantaneous motion pattern using spectral clustering on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Vahid Bastani , Damian Campo , Lucio Marcenaro , Carlo S. Regazzoni

We study the nature of the generating series of some models of walks with small steps in the three quarter plane. More precisely, we restrict ourselves to the situation where the group is infinite, the kernel has genus one, and the step set…

Combinatorics · Mathematics 2021-09-29 Thomas Dreyfus , Amélie Trotignon

Our previous work presented explicit formulas for the generalized zeta function and the generalized Ihara zeta function corresponding to the Grover walk and the positive-support version of the Grover walk on the regular graph via the…

Quantum Physics · Physics 2022-12-22 Takashi Komatsu , Norio Konno , Iwao Sato

An approach for computing unique gait signature using measurements collected from body-worn inertial measurement units (IMUs) is proposed. The gait signature represents one full cycle of the human gait, and is suitable for off-line or…

Signal Processing · Electrical Eng. & Systems 2019-07-08 Parinaz Kasebzadeh , Gustaf Hendeby , Fredrik Gustafsson

Compared to other biometrics, gait is difficult to conceal and has the advantage of being unobtrusive. Inertial sensors, such as accelerometers and gyroscopes, are often used to capture gait dynamics. These inertial sensors are commonly…

Machine Learning · Computer Science 2020-04-30 Qin Zou , Yanling Wang , Qian Wang , Yi Zhao , Qingquan Li

Gait, the manner of walking, has been proven to be a reliable biometric with uses in surveillance, marketing and security. A promising new direction for the field is training gait recognition systems without explicit human annotations,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Adrian Cosma , Emilian Radoi

Entropies based on walks on graphs and on their line-graphs are defined. They are based on the summation over diagonal and off-diagonal elements of the thermal Green's function of a graph also known as the communicability. The walk…

Mathematical Physics · Physics 2013-07-03 Ernesto Estrada , Jose A. de la Pena , Naomichi Hatano

We formulate three current models of discrete-time quantum walks in a combinatorial way. These walks are shown to be closely related to rotation systems and 1-factorizations of graphs. For two of the models, we compute the traces and total…

Combinatorics · Mathematics 2019-05-17 Chris Godsil , Hanmeng Zhan

We study technicolor models in which all of the technifermions are color-singlets, focusing on the case in these fermions transform according to the fundamental representation of the technicolor gauge group. Our analysis includes a…

High Energy Physics - Phenomenology · Physics 2011-09-13 Thomas A. Ryttov , Robert Shrock

Quantum walks constitute a versatile platform for simulating transport phenomena on discrete graphs including topological material properties while providing a high control over the relevant parameters at the same time. To experimentally…

Principle Equation of Motion (for walkers) is derived that later results in introducing two piecewise-continuous dynamical systems namely Simplified Walking Model (SWM) and Complete Walking Model (CWM) which both describe the behavior of…

Robotics · Computer Science 2019-05-07 Mostafa Ghobadi

Gait is an important biomarker of functional conditions and gait characteristics can help us assessing health conditions and managing progression of diseases. Most of the existing research study the gait in controlled condition, such as…

Applications · Statistics 2022-02-17 Jian Ma

The electroweak gauge symmetry is allowed to be spontaneously broken by the strongly interacting vector-like gauge dynamics. When the gauge coupling of a theory runs slowly in a wide range of energy scale, the theory is a candidate for…

High Energy Physics - Lattice · Physics 2010-03-18 N. Yamada , M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno