Perrin, Hugo Fuchs, Jean-Noël Mosseri, Rémy

It was recently shown that Aharonov-Bohm (AB) cages exist for quantum walks (QW) on certain tilings -- such as the diamond chain or the dice (or $\mathcal{T}_3$) lattice -- for a proper choice of coins. In this article, we probe the robustness of these AB cages to various perturbations. When the cages are destroyed, we analyze the leakage mechanism...

Christophorov, L N
Published in
Journal of Physics A: Mathematical and Theoretical

A standard symmetrical random walk with Poissonian resetting in a chain with terminal sinks is considered. The expressions for probabilities of occupation of chain nodes are obtained for arbitrary values of chain length N, rate k of jumps to adjacent nodes, sink intensities q 0, q N and placements of resetting node n r and starting node n 0. These ...

Zhang, Yanrong Meng, Lingyue
Published in
Frontiers in Oncology

Purpose The purpose of this study was to realize automatic segmentation of lung parenchyma based on random walk algorithm to ensure the accuracy of lung parenchyma segmentation. The explicable features of pulmonary nodules were added into VGG16 neural network to improve the classification accuracy of pulmonary nodules. Materials and Methods LIDC-ID...

Ankirchner, Stefan Bernburg, Hugalf Wendt, Julian

We consider a dynamic two player game where each player can control the step sizes of her own random walk. At any time, the players can choose a step size equal to 0 or 1. Moreover, whenever a player is ahead, i.e. her state is above the opponent's state, she receives a fixed reward. The player behind does not receive anything. We assume that both ...

Carr, Elliot J Vandenheuvel, Daniel J Wilson, Joshua M Simpson, Matthew J

Calculating the mean exit time (MET) for models of diffusion is a classical problem in statistical physics, with various applications in biophysics, economics and heat and mass transfer. While many exact results for MET are known for diffusion in simple geometries involving homogeneous materials, calculating MET for diffusion in realistic geometrie...

Carr, Elliot J VandenHeuvel, Daniel J Wilson, Joshua M Simpson, Matthew J
Published in
Journal of Physics A: Mathematical and Theoretical

Calculating the mean exit time (MET) for models of diffusion is a classical problem in statistical physics, with various applications in biophysics, economics and heat and mass transfer. While many exact results for MET are known for diffusion in simple geometries involving homogeneous materials, calculating MET for diffusion in realistic geometrie...

Laranjeira, S Pellegrino, G Bhangra, K S Phillips, J B Shipley, R J
Published in
Journal of the Royal Society, Interface

Peripheral nerve injuries affect millions of people per year and cause loss of sensation and muscle control alongside chronic pain. The most severe injuries are treated through a nerve autograft; however, donor site morbidity and poor outcomes mean alternatives are required. One option is to engineer nerve replacement tissues to provide a supportiv...

Bouchot, Nicolas

In this article we study a one dimensional model for a polymer in a poor solvent: the random walk on $\mathbb{Z}$ penalized by its range. More precisely, we consider a Gibbs transformation of the law of the simple symmmetric random walk by a weight $exp(−h_n |R_n |)$, with $|R_n|$ the number of visited sites and $h_n$ a size-dependent positive para...

David, François Jonsson, Thordur
Published in
Journal of Physics A: Mathematical and Theoretical

We study continuous time quantum walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t −1. We analyse the diffusion along the spine and into the teeth and show that the walk can escape into the teeth with a finite probability and goes to infinity along the spine with a finite probabili...

Han, Beibei Wei, Yingmei Kang, Lai Wang, Qingyong Yang, Yuxuan
Published in
Frontiers in Physics

Node classification, as a central task in the graph data analysis, has been studied extensively with network embedding technique for single-layer graph network. However, there are some obstacles when extending the single-layer network embedding technique to the attributed multiplex network. The classification of a given node in the attributed multi...