In recent years quantum random walks have garnered much interest among quantum information researchers. Part of the reason is the prospect that many hard problems can be solved efficiently by employing algorithms based on quantum random walks, in the same way that classical random walks have played a central role in many hugely successful randomized algorithms. In this paper we introduce a new ...

Joël De Coninck, François Dunlop, Thierry Huillet Abstract: We consider random walks Xn in Z+, obeying a detailed balance condition, with a weak drift towards the origin when Xn ր ∞. We reconsider the equivalence in law between a random walk bridge and a 1+1 dimensional Solid-On-Solid bridge with a corresponding Hamiltonian. Phase diagrams are discussed in terms of recurrence versus wetting. A ...

The paper investigates whether there are periods when platinum prices follow the random walk process (weak-form efficient) and periods when they deviate from the random walk theory (mean reversion). Monthly log returns of platinum prices are examined using the Augmented Dickey-Fuller test (ADF) and a GARCH model with time-varying properties. A GARCH model with time-varying properties is able to...

Quantum walks (QWs) exhibit different properties compared with classical random (RWs), most notably by linear spreading and localization. In the meantime, that replicate quantum walks, which we refer to as quantum-walk-replicating (QWRWs), have been studied in literature where eventual of QWRW coincide those QWs. However, consider unique attributes QWRWs not fully utilized former studies obtain...

This paper proposes a novel graph neural network recommendation method to alleviate the user cold-start problem caused by too few relevant items in personalized collaborative filtering. A deep feedforward is constructed transform bipartite of user–item interactions into spectral domain, using random wandering discover potential correlation information between users and items. Then, finite-order...

In this paper we develop a random walk model on lattice for coordinate-dependent diffusion at constant temperature. We employ here waiting time of the walker to get coordinate dependence diffusion. Such modeling keeps local isotropy process intact which is consistent with nature thermal noise. The presence confining conservative force modeled by appropriately breaking jumps its nearest points. ...

the purpose of this study is to identify parameters influence on the particle deposition within fin and tube heat exchanger of air-conditioning systems by cfd analysis. first the basic sketch of periodic geometry drawn and meshing operation including boundary conditions was performed. then the gas side properties and flow parameters were solved by ansys fluent 14.5 software. lagrangian equation...

In this paper we are interested in Sinai’s walk i.e., a one dimensional random walk in random environment with three conditions on the random environment: two necessaries hypothesis to get a recurrent process (see [Solomon(1975)]) which is not a simple random walk and an hypothesis of regularity which allows us to have a good control on the fluctuations of the random environment. The asymptotic...

Motivated by the problem of efficiently collecting data from wireless sensor networks via a mobile sink, we present an accelerated random walk on Random Geometric Graphs. Random walks in wireless sensor networks can serve as fully local, lightweight strategies for sink motion that significantly reduce energy dissipation but introduce higher latency in the data collection process. In most cases ...