Papers by Keyword: Random Walk

Abstract: Several well-known Unmanned Aerial Vehicle (UAV) mobility models that make use of cellular networks will be compared in this study. The acquisition of services for ground-based User Equipment (UE) from Drone Base Stations (DBSs) is the primary focus of the examination. The four distinguishable mobility models— Random Waypoint (RWP), Straight Line (SL), Random Stop (RS), and Random Walk (RW)—are analysed and compared in this work. The UDM and UIM are two service models that are researched in this study. The primary contribution of this work is the development of a thorough method for investigating the point process of DBSs across different mobility and service models. The study compares the basic SL mobility model to more complex models that incorporate curved trajectories and finds performance disparities between the two. It also looks at the average session and received pricing of standard user equipment (UEs). The results of this study shed light on how well drone mobility models perform in cellular network settings, which can help with the development and refinement of drone-optimized cellular networks.

Abstract: Examination was made of the early stages of binodal or spinodal solid solutions decay connected with the growth of local zones of concentration fluctuations. The theory of Markovian process of random walk of the individual atoms describes how particle transport with short diffusion paths causes the growth of these zones. The resulting equation predicts the growth and transformation of initial zones of concentration fluctuations into growing clusters with surface boundary or formation of the quasiperiodic concentration distribution inherent in spinodal decomposition.

Abstract: In this paper, we did the analysis of the gyro random migration using Allan variance method, static output data using a three-axis gyroscope of the global first integrated six-axis motion processing components MPU6050. Experimental result shows that the fitting of bias instability and angle random walk smoother, it not only improves the estimation accuracy of random walk coefficient, but also the amount of data required is greatly reduced.

Abstract: In order to study how the heavy metal pollution disseminates in urban surface soil and to recognize its evolutive pattern, this paper provides a model with time variable based on Euler method which could avoid the shortcoming of the traditional constant time assumption. We establish a set of spatial-temporal equations and derive their analytical solutions by 3-order Fourier transform.

Abstract: In this letter, we derive the analytical expressions of the degree distributions for a kind of networks model random initializing attractiveness and preferential linking, which analyzed degree evolution by using the master equation approach. We also discuss the theoretical justification of the scale-free behavior about the proposed model. The influencing range of initialization to the degree distribution only related to initialization’s expectation under the global meaning. Finally, a series of theoretical analysis and numerical simulations to the scale-free network model are conducted in this letter. The results of computer simulation is presented to the theoretical analysis.

Abstract: The paper presents a new symbolic dynamic approach to the research of the random walk and Brownian motion (BM) on Koch fractal. From the symbolic sequence of Koch automaton, on the one hand, we obtained the geometric description of the Koch curve completely, and constructed the state space of the random walk with the symbolic sequence. And the precise arithmetic representation of Koch curve is provided by the deterministic Rademacher sequence. On the other hand, the arithmetic feature of the Koch automaton, the position numbers, forms a partition of integer , which is naturally a one-dimensional lattice, it will be underlying space of the BM directly. When the chemical distance is introduced to measure the distance between two states, analytic results of the model for random walk on Koch fractal are obtained, particularly the relation between the chemical distance and the Hausdorff measure is discussed, and the Wiener Process in terms of Hausdorff measure is constructed parallel.

Abstract: Underground communication system can be organized as a delay tolerant network (DTN), where delay analysis is of importance. In this paper, we derive the analysis method of block delivery delay in underground DTN using network coding. Unlike existing works that only use the contact-based model, we adopt the random walk on 2-D grid model as our mobility model. We define the innovativeness of a node as the number of new packet it can bring to the destination and derive the network state dynamics based on this definition. The simulations show that our analytic approach has better prediction to the delay performance.

Abstract: There is a great deal of history involving the research of Tibetan network public opinion dissemination behavior. In order to monitor Tibetan web information and real-time construction and supplementary of Tibetan sensitive information, we investigate the random walk dissemination model to analyze the overall information of Tibetan Web. According to Monte Carlo’s random walk models, we simulate the Brownian motion in the different dimensional space and discuss some basic ideas and applications.

Abstract: Random walk is the central concept in the mathematical formalization of the diffusion coefficient and so when asked a year ago to present a talk at a diffusion conference it appeared to be a totally appropriate topic. I spent most of my career studying diffusion and even after twenty years in retirement I believed I could write an interesting story about the importance of random walk to diffusion. Unfortunately when I sat down to write I discovered two problems: in the majority of materials that I investigated atoms did follow a random walk; and the history of random walk has been well documented and shows little connection to diffusion. The phrase was coined in 1905 at a time of rapid changes in physics. Scientists are not accustomed to writing history and as Henry Ford said around the same period of time “History is bunk”. He also remarked, "You can have any color (car) as long as it's black". This essay presents my story (not his- or her- tory) of why the use of the phrase random walk in discussions of diffusion in solids is also bunk.

Abstract: this paper is in the context of China's securities market vigorously developing institutional investors, uses "Fractal Market Hypothesis" and rescaled range methods to deal with the data. By doing the information mining on those sample, the results show that China's securities market yield does not follow a random walk hypothesis and institutional investors yield does not follow a random walk hypothesis. This shows that after more than 10 years of vigorous development of institutional investors, the goal that stabilize the market and make the market more effectively has not been realized and continuing to increase the intensity of the development of the institutional investors is still needed