An exact bound for tail probabilities for a class of conditionally symmetric bounded martingales by Dainius Dzindzalieta

“…We show that this problem is equivalent to one when you want to find out the symmetric random walk with bounded length of steps which maximizes the probability to visit an interval [x;∞]. …”
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Chaotic and thermal aspects in the highly excited string S-matrix by Diptarka Das, Santanu Mandal, Anurag Sarkar

“…Further, we compute the effective string form factor corresponding to the highly excited states, and argue for the random walk behaviour of the long strings.…”
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Paging and Location Management in IEEE 802.16j Multihop Relay Network by Kuan-Po Lin, Hung-Yu Wei

“…In this work, we formulate the mathematical model to evaluate the performance of the proposed paging scheme. A new random walk mobility model that is suitable for modeling in multihop relay network is created. …”
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The Logistic Distribution as a Limit Law for Random Sums and Statistics Constructed from Samples with Random Sizes by Victor Yu. Korolev

“…Hence, along with the normal law, this distribution can be used as an asymptotic approximation of the distributions of observations that can be assumed to have an additive structure, for example, random-walk-type time series. An approach is presented for the definition of the new asymmetric generalization of the logistic distribution as a special normal variance–mean mixture.…”
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Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces by Samy Lakhal, Laurent Ponson, Michael Benzaquen, Jean-Philippe Bouchaud

“…We retrieve all the salient features of the log-normal multifractal random walk introduced by E. Bacry et al. [Phys. Rev. …”
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Influence maximization algorithm of social networks based on Transformer model by YU Shuke, YAO Yao, YAN Chenxue

“…Seconcly, the topology structure information and connection framework information of the candidate nodes were discovered by use of the random walk strategy. Finally, the Transformer model was improved, in order to support scalable node feature sequences, and the improved Transformer model was taken advantage to predict the seed nodes of the social network. …”
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Escape Path Obstacle-Based Mobility Model (EPOM) for Campus Delay-Tolerant Network by Sirajo Abdullahi Bakura, Alain Lambert, Thomas Nowak

“…Unlike the conventional random walk models, which use a free space environment, our model includes a collision-avoidance technique that generates an escape path upon encountering obstacles of different shapes and sizes that obstruct pedestrian movement. …”
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Social media user geolocalization based on multiple mention relationships by Yaqiong QIAO, Xiangyang LUO, Jiangtao MA, Chenliang LI, Meng ZHANG, Ruixiang LI

“…Aiming at the problem that the existing joint user geolocalization methods based on social media text and social relationships do not sufficiently mine the location correlation between heterogeneous data in social media, a social media user geolocalization method based on multiple mention relationships was proposed.First, a heterogeneous network was constructed by comprehensively considering the mention relationship between users, the user's mention relationship with location indicative words, and the user's mention relationship with geographic nouns.Then, a network simplification strategy was proposed to construct a user-location heterogeneous network that connects users live nearby more closely based on the common mention relationship.After that, a biased random walk algorithm was proposed for the graph node sampling to fully explore the network structure and alleviate the sparsity problem of known locations.Finally, a neural network classifier based on a multilayer perceptron was used to infer the user's location.Experimental results on three representative Twitter data sets of GEOTEXT, TW-US and TW-WORLD show that the proposed method can significantly improve the user geolocalization accuracy.…”
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Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach by Weiyuan Ma, Changpin Li, Jingwei Deng

“…In the famous continuous time random walk (CTRW) model, because of the finite lifetime of biological particles, it is sometimes necessary to temper the power law measure such that the waiting time measure has a convergent first moment. …”
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Incorporating causal notions to forecasting time series: a case study by Werner Kristjanpoller, Kevin Michell, Cristian Llanos, Marcel C. Minutolo

“…Our results show that the proposed methodology outperforms classic econometric approaches such as ARIMA and Random Walk, as well as machine learning approaches without the proposed methodology. …”
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STABILITY OF GPS AND GLONASS ONBOARD CLOCKS ON A MONTHLY BASIS by Michał ZIĘTALA

“…Mean frequency accuracy for GPS clocks is related with WFM and Random Walk Frequency (RWF). The differences in clock stability are caused by several factors – block type, type of clock and the time of a satellite in orbit. …”
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An Exploration of the Triplet Periodicity in Nucleotide Sequences with a Mature Self-Adaptive Spectral Rotation Approach by Bo Chen, Ping Ji

“…Previously, for predicting coding regions in nucleotide sequences, a self-adaptive spectral rotation (SASR) method has been developed, based on a universal statistical feature of the coding regions, named triplet periodicity (TP). It outputs a random walk, that is, TP walk, in the complex plane for the query sequence. …”
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The impact of external shocks on volatility persistence and market efficiency of the foreign exchange rate regime: evidence from Malawi by Joseph Paul Chunga, Ping YU

“…Augmenting the approach with a FRUH analysis reveals that the foreign exchange market does not follow a random walk as it departs from the 1:1 relationship between the spot and forward rate thus being weak-form inefficient.…”
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ANALYSIS OF MICRO-ELECTROMECHANICAL INERTIAL MEASUREMENT UNITS FOR UNMANNED AERIAL VEHICLE APPLICATIONS by Aftandil MAMMADOV

“…In a low-cost system, IMU errors like bias, scale factor error and random walk noise dominate the INS error growth.…”
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Applying the mathematical apparatus of fluid and gas dynamics for financial market dynamics modeling by A.R. Musin, A.S. Sorokin

“…Model testing has been performed on minute market data of pound sterling to US dollar exchange rate for the whole 2017 year and confirmed the possibility of using it for predicting the considered currency pair values with the accuracy of 57.2% measured by the percentage of correct forecast direction, while the value of the corresponding indicator for a random walk model, additionally reviewed for comparison purposes, was only 49.8%.…”
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التحليل الاقتصادي لكفاءة الاسواق المالية دليل تجريبي لبعض الاسواق العربية by عبد الحسين جليل الغالبي, حسن شاكر الشمري

“…This study tested the hypothesis of efficient financial markets for some Arab markets, through daily data and using the augmented Dickey-Fuller ADF, and Philip Barron PP, where they were testing the hypothesis of random walk for stock returns indexes to Arab Markets, and then test Contrast Ratio Variance Ratio to judge the efficiency of those markets, as it appeared to us that all financial markets studied inefficient at low level, and then they need to modify their regulatory frameworks and institutional mechanism and the transfer of information and transparency. …”
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Stego on FPGA: An IWT Approach by Balakrishnan Ramalingam, Rengarajan Amirtharajan, John Bosco Balaguru Rayappan

“…Either Moore or Hilbert SFC was chosen for hiding the encrypted data in LH, HL, and HH coefficients, whichever produces the lowest mean square error (MSE) and the highest peak signal-to-noise ratio (PSNR). The fixated random walk’s verdict of all blocks is registered which is nothing but the furtive key. …”
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Time-Delayed Acceleration Feedback Control of a Single-Link Flexible Manipulator Using Kalman Filter by Yuming Huang, Weidong Chen, Minqiang Shao

“…The dynamical model of a single-link flexible manipulator system is presented by the adoption of the finite element method and Lagrange’s equation. Based on the random-walk process and the discrete reduction method, an augmented discretized delay-free state derivate space equation containing the random noise is established. …”
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Topology control based on dynamic graph embedding in Internet of vehicles by Yanfei SUN, Jiazheng YIN, Jin QI, Xiaoxuan HU, Mengting CHEN, Zhenjiang DONG

“…Finally, based on the application environment of the IoV, the LRGE method was used to perform random walk among vehicle nodes, and then the established random walk was optimized according to the LRGE model to determine the adjacency matrix. …”
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An Efficient and Lightweight Source Privacy Protecting Scheme for Sensor Networks Using Group Knowledge by Zhiqiang Ruan, Wei Liang, Decai Sun, Haibo Luo, Fanyong Cheng

“…On the other hand, existing works use either random walk path or fake packets injection, both incurring tremendous overhead. …”
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