18 papers · ranked by Valyu relevance
Binhe Chen, Yaodan Chen, Li Cao, Changzu Chen + 3 more
The Crested Porcupine Optimizer (CPO), as a newly emerging swarm intelligence algorithm, demonstrates advantages in balancing global exploration and local exploitation but still suffers from limitations in convergence speed and local exploitation precision. To address these issues, this paper proposes an enhanced…
Paul RG Mortimer, Thomas Prellberg
We consider walks on a triangular domain that is a subset of the triangular lattice. We then specialise this by dividing the lattice into two directed sublattices with different weights. Our central result is an explicit formula for the generating function of walks starting at a fixed point in this domain and ending…
Pete Rigas
We extend computations for the scaling limit of the prudent walk on the square lattice, due to Beffara, Friedli, and Velenik in 2010, to obtain the scaling limit of the prudent walk on the triangular lattice. In comparison to computing the probability that a short excursion, which is contained with some box of side…
Stéphane Ouvry, Alexios P. Polychronakos
We establish a connection between exclusion statistics with arbitrary integer exclusion parameter g and a class of random walks on planar lattices. This connection maps the generating function for the number of closed walks of given length enclosing a given algebraic area on the lattice to the grand partition function…
Quentin Aristote, Giuseppe Di Molfetta
We present the single-particle sector of a quantum cellular automaton, namely a quantum walk, on a simple dynamical triangulated 2−manifold. The triangulation is changed through Pachner moves, induced by the walker density itself, allowing the surface to transform into any topologically equivalent one. This model…
Li Gan
We derive explicit closed-form expressions for the generating function CN (A), which enumerates classical closed random walks on square and triangular lattices with N steps and a signed area A, characterized by the number of moves in each hopping direction. This enumeration problem is mapped to the trace of powers of…
Pablo Arrighi, Giuseppe Di Molfetta, Ivan Marquez-Martin, Armando Perez
'Armando Perez'] A discrete-time Quantum Walk (QW) is an operator driving the evolution of a single particle on the lattice, through local unitaries. In a previous paper, we showed that QWs over the honeycomb and triangular lattices can be used to simulate the Dirac equation. We apply a spacetime coordinate…
Jonas Arista, Elia Bisi, Neil O’Connell
We study a discrete-time Markov process on triangular arrays of matrices of size $d\ge 1$, driven by inverse Wishart random matrices. The components of the right edge evolve as multiplicative random walks on positive definite matrices with one-sided interactions and can be viewed as a d-dimensional generalisation of…
Wen-Hao Zhou, Xiao-Wei Wang, Ruo-Jing Ren, Yu-Xuan Fu + 4 more
Quantum walks provide a speed-up in computational power for various quantum algorithms and serve as inspiration for the construction of complex graph representations. Many pioneering works have been dedicated to expanding the experimental state space and the complexity of graphs. However, these experiments are mostly…
Rebecca Elizabeth Carlisle, Arthur D Kuo, Gordan J Berman, Joshua I Gold
'Joshua I Gold'] Humans make a number of choices when they walk, such as how fast and for how long. The preferred steady walking speed seems chosen to minimize energy expenditure per distance traveled. But the speed of actual walking bouts is not only steady, but rather a time-varying trajectory, which can also be…
Zongqing Chen, Sergey Kitaev, Brian Y. Sun
A graph G = (V, E) is word-representable if there exists a word w over the alphabet V such that letters x and y alternate in w if and only if (x, y) ∈ E. A triangular grid graph is a subgraph of a tiling of the plane with equilateral triangles defined by a finite number of triangles, called cells. A subdivision of a…
Norberto Lucero-Azuara, Rainer Klages
Imagine you walk in a plane. You move by making a step of a certain length per time interval in a chosen direction. Repeating this process by randomly sampling step length and turning angle defines a two-dimensional random walk in what we call comoving frame coordinates. This is precisely how Ross and Pearson proposed…
Jonathan B. Dingwell, Anna C. Render, David M. Desmet, Joseph P. Cusumano
People rarely walk in straight lines. Instead, we make frequent turns or other maneuvers. Spatiotemporal parameters fundamentally characterize gait. For straight walking, these parameters are well-defined for that task of walking on a straight path. Generalizing these concepts to non-straight walking, however, is not…
J. Li, X. Ma, S. Guo, C. Hou + 5 more
Understanding how prion proteins refold from a cellular isoform (PrPC) to a disease-causing isoform (PrPSc) has been among the “ultimate challenges” in molecular biology, biophysics, pathology, and immunology. Conformational changes of prion proteins from PrPC to PrPSc involve the unfolding of a short α-helix that…
Ali Tehrani Safa, Tirthabir Biswas, Arun Ramakrishnan, Vikas Bhandawat
Two simple models – vaulting over stiff legs and rebounding over compliant legs – are employed to describe the mechanics of legged locomotion. It is agreed that compliant legs are necessary for describing running and that legs are compliant while walking. Despite this agreement, stiff legs continue to be employed to…
Jiaxing Chen, Yen Kaow Ng, Lu Lin, Yiqi Jiang + 1 more
Various distance functions for evaluating the differences be- tween gene expression profiles have been proposed in the past. Such a function would output a low value if the profiles are strongly correlated—either negatively or positively—and vice versa. One popular distance function is the absolute correlation…
Simon Wilshin, Michelle A. Reeve, G. Clark Haynes, Shai Revzen + 2 more
'Daniel E. Koditschek' 'Andrew J. Spence'] Title: ABSTRACT Legged animals utilize gait selection to move effectively and must recover from environmental perturbations. We show that on rough terrain, domestic dogs, Canis lupus familiaris, spend more time in longitudinal quasi-statically stable patterns of movement.…
Seyed-Saleh Hosseini-Yazdi, John EA Bertram
Understanding the vertical ground reaction force (vGRF) profile offers important insight into how humans regulate mechanical work during walking. Although the characteristic double-hump vGRF pattern is well documented, the mechanical factors underlying asymmetry in peak amplitudes and midstance trough timing remain…