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Relevant bibliographies by topics / Random walk

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Academic literature on the topic 'Random walk'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Random walk"

1

Blondel, Oriane, Marcelo R. Hilário, Renato S. dos Santos, Vladas Sidoravicius, and Augusto Teixeira. "Random walk on random walks: Low densities." Annals of Applied Probability 30, no. 4 (2020): 1614–41. http://dx.doi.org/10.1214/19-aap1537.

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Van Doorn, Erik A., and Pauline Schrijner. "Random walk polynomials and random walk measures." Journal of Computational and Applied Mathematics 49, no. 1-3 (1993): 289–96. http://dx.doi.org/10.1016/0377-0427(93)90162-5.

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Boissard, Emmanuel, Serge Cohen, Thibault Espinasse, and James Norris. "Diffusivity of a random walk on random walks." Random Structures & Algorithms 47, no. 2 (2014): 267–83. http://dx.doi.org/10.1002/rsa.20541.

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Tran, Loc Hoang, Linh Hoang Tran, Hoang Trang, and Le Trung Hieu. "Combinatorial and Random Walk Hypergraph Laplacian EigenmapsCombinatorial and Random Walk Hypergraph Laplacian Eigenmaps." International Journal of Machine Learning and Computing 5, no. 6 (2015): 462–66. http://dx.doi.org/10.18178/ijmlc.2015.5.6.553.

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Mundy, John N. "Random Walk." Defect and Diffusion Forum 353 (May 2014): 1–7. http://dx.doi.org/10.4028/www.scientific.net/ddf.353.1.

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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 documen

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Butler, Mary Odell. "Random Walk." NAPA Bulletin 26, no. 1 (2008): 20–31. http://dx.doi.org/10.1525/napa.2006.26.1.20.

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van der Hofstad, Remco, Tim Hulshof, and Jan Nagel. "Random walk on barely supercritical branching random walk." Probability Theory and Related Fields 177, no. 1-2 (2019): 1–53. http://dx.doi.org/10.1007/s00440-019-00942-0.

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Croydon, David A. "Random Walk on the Range of Random Walk." Journal of Statistical Physics 136, no. 2 (2009): 349–72. http://dx.doi.org/10.1007/s10955-009-9785-2.

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Kutner, R. "Biased random walk on a biased random walk." Physica A: Statistical Mechanics and its Applications 171, no. 1 (1991): 43–46. http://dx.doi.org/10.1016/0378-4371(91)90356-h.

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He, Yitong. "Beyond Polya’S Random Walk Theorem." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 149–55. http://dx.doi.org/10.54097/jw2bp960.

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A random walk can be regarded as a probability model depicting some degree of randomness, which has lots of interdisciplinary applications in physics, biochemistry and computer science. In this paper, the recurrence classifications of five different random walk models are presented along with their relevant studies. In order to explore the essential reasons leading to the qualitative change of simple random walks’ recurrence property, the classification results of the five simple random walk variants are horizontally discussed. As a result, a positive bias is found to be the denominator shared

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Dissertations / Theses on the topic "Random walk"

1

Renlund, Henrik. "Reinforced Random Walk." Thesis, Uppsala University, Department of Mathematics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-121389.

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Yip, Siu Kwan. "On the Pfaffian property of annihilating random walk and coalescing random walk." Thesis, University of Warwick, 2014. http://wrap.warwick.ac.uk/63894/.

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In this thesis we are to investigate two discrete interacting particle systems, namely annihilating random walk and coalescing random walk. By mapping the annihilating random walk to Glauber model and employing empty interval method respectively, we prove there is a similar structure behind them albeit their apparent differences, that is, they are both Pfaffian point process under a special initial condition. Then we extend the result to investigate whether the Pfaffian property preserves in the case of multi-time correlation function, which is called extended Pfaffian property. And we also in

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nl, jvdberg@cwi. "Randomly Coalescing Random Walk in Dimension $ge$ 3." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1051.ps.

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Lo, Chak Hei. "On some random walk problems." Thesis, Durham University, 2017. http://etheses.dur.ac.uk/12498/.

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We consider several random walk related problems in this thesis. In the first part, we study a Markov chain on R₊ x S, where R₊ is the non-negative real numbers and S is a finite set, in which when the R₊-coordinate is large, the S-coordinate of the process is approximately Markov with stationary distribution πi on S. Denoting by μi(x) the mean drift of the R₊-coordinate of the process at (x,i) Ε R₊ x S, we give an exhaustive recurrence classification in the case where Σiπiμi(x) → 0, which is the critical regime for the recurrence-transience phase transition. If μi(x) → 0 for all i, it is natu

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Zhao, Kai. "QUANTUM RANDOM WALK ON FRACTALS." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/490714.

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Mathematics<br>Ph.D.<br>Quantum walks are the quantum mechanical analogue of classical random walks. Discrete-time quantum walks have been introduced and studied mostly on the line Z or higher dimensional space Z d but rarely defined on graphs with fractal dimensions because the coin operator depends on the position and the Fourier transform on the fractals is not defined. Inspired by its nature of classical walks, different quantum walks will be defined by choosing different shift and coin operators. When the coin operator is uniform, the results of classical walks will be obtained upon measu

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Zhang, Zhihan. "Random walk on simplicial complexes." Electronic Thesis or Diss., université Paris-Saclay, 2020. http://www.theses.fr/2020UPASM010.

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La notion de laplacien d’un graphe peut être généralisée aux complexes simpliciaux et aux hypergraphes. Cette notion contient des informations sur la topologie de ces structures. Dans la première partie de cette thèse,nous définissons une nouvelle chaîne de Markov sur les complexes simpliciaux. Pour un degré donné k de simplexes, l’espace d’états n’est pas les k-simplexes comme dans les articles précédents sur ce sujet mais plutôt l’ensemble des k-chaines ou k-co-chaines. Ce nouveau cadre est la généralisation naturelle sur les chaînes de Markov canoniques sur des graphes. Nous montrons que le

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Shiraishi, Daisuke. "Random walk on non-intersecting two-sided random walk trace is subdiffusive in low dimensions." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157839.

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Phetpradap, Parkpoom. "Intersections of random walks." Thesis, University of Bath, 2011. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548100.

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We study the large deviation behaviour of simple random walks in dimension three or more in this thesis. The first part of the thesis concerns the number of lattice sites visited by the random walk. We call this the range of the random walk. We derive a large deviation principle for the probability that the range of simple random walk deviates from its mean. Our result describes the behaviour for deviation below the typical value. This is a result analogous to that obtained by van den Berg, Bolthausen, and den Hollander for the volume of the Wiener sausage. In the second part of the thesis, we

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Bui, Hoai Thang Computer Science &amp Engineering Faculty of Engineering UNSW. "Guided random-walk based model checking." Awarded by:University of New South Wales. Computer Science & Engineering, 2009. http://handle.unsw.edu.au/1959.4/44829.

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The ever increasing use of computer systems in society brings emergent challenges to companies and system designers. The reliability of software and hardware can be financially critical, and lives can depend on it. The growth in size and complexity of software, and increasing concurrency, compounds the problem. The potential for errors is greater than ever before, and the stakes are higher than ever before. Formal methods, particularly model checking, is an approach that attempts to prove mathematically that a model of the behaviour of a product is correct with respect to certain properties. C

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Thomson, D. J. "Random walk models of turbulent dispersion." Thesis, Brunel University, 1988. http://bura.brunel.ac.uk/handle/2438/5549.

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An understanding of the dispersion of contaminants in turbulent flows is important in many fields ranging from air pollution to chemical engineering, and random walk models provide one approach to understanding and calculating aspects of dispersion. Two types of random walk model are investigated in this thesis. The first type, so-called "one-particle models", are capable of predicting only mean concentrations while the second type, "two-particle models", are able to give some information on the fluctuations in concentration as well. Many different one-particle random walk models have been pro

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Books on the topic "Random walk"

1

Nicolas, Christian. Random walk. Architectural Association Students Union, 1998.

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2

ill, Freeman Stephanie, ed. Rory's random walk down Wall Street. Playgroup Press, 1999.

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Lo, Andrew W. A non-random walk down Wall Street. Princeton University Press, 2002.

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1955-, MacKinlay Archie Craig, ed. A non-random walk down Wall Street. Princeton University Press, 1999.

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Cencini, Massimo, Andrea Puglisi, Davide Vergni, and Angelo Vulpiani. A Random Walk in Physics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72531-0.

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Schwarz, Wolf. Random Walk and Diffusion Models. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12100-5.

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E, Mendoza, ed. A random walk in science. Institute of Physics Pub., 1999.

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Cribari-Neto, Francisco. Canadian economic growth: Random walk or just a walk? University of Illinois at Urbana-Champaign, 1992.

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9

Kaye, Brian H. A random walk through fractal dimensions. 2nd ed. VCH, 1994.

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Kaye, Brian H. A random walk through fractal dimensions. VCH Verlagsgesellschaft, 1989.

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Book chapters on the topic "Random walk"

1

Meester, Ronald. "Random Walk." In A Natural Introduction to Probability Theory. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7786-2_3.

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Fristedt, Bert, and Lawrence Gray. "Random Walk." In A Modern Approach to Probability Theory. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4899-2837-5_11.

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Shreve, Steven E. "Random Walk." In Stochastic Calculus for Finance I. Springer New York, 2005. http://dx.doi.org/10.1007/978-0-387-22527-2_5.

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Weik, Martin H. "random walk." In Computer Science and Communications Dictionary. Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_15460.

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Bhattacharya, Rabi. "Random Walk." In International Encyclopedia of Statistical Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-04898-2_475.

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Cencini, Massimo, Andrea Puglisi, Davide Vergni, and Angelo Vulpiani. "Random Walk." In A Random Walk in Physics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72531-0_2.

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Korosteleva, Olga. "Random Walk." In Stochastic Processes with R. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003244288-2.

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Bhattacharya, Rabi. "Random Walk." In International Encyclopedia of Statistical Science. Springer Berlin Heidelberg, 2025. https://doi.org/10.1007/978-3-662-69359-9_508.

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Chen, Xia. "Basics on large deviations." In Random Walk Intersections. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/157/01.

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Chen, Xia. "Brownian intersection local times." In Random Walk Intersections. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/157/02.

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Conference papers on the topic "Random walk"

1

Woo, Kyung Seok, Nestor Ghenzi, A. Alec Talin, et al. "Graphlet Decomposition Using Random-Walk Memristors." In 2024 IEEE International Electron Devices Meeting (IEDM). IEEE, 2024. https://doi.org/10.1109/iedm50854.2024.10873438.

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Sun, Zhuang, Li Chen, Zhida Feng, and Xiaoming Liu. "B-Walk: Bernoulli Principle Guided Biased Random Walk for Curve Connection." In 2024 IEEE International Conference on Image Processing (ICIP). IEEE, 2024. http://dx.doi.org/10.1109/icip51287.2024.10647483.

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Li, Peiyan, Honglian Wang, and Christian Böhm. "Scalable Graph Classification via Random Walk Fingerprints." In 2024 IEEE International Conference on Data Mining (ICDM). IEEE, 2024. https://doi.org/10.1109/icdm59182.2024.00030.

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Rashid, Mahmood A., Swakkhar Shatabda, M. A. Hakim Newton, Md Tamjidul Hoque, Duc Nghia Pham, and Abdul Sattar. "Random-walk." In the ACM Conference. ACM Press, 2012. http://dx.doi.org/10.1145/2382936.2383043.

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Cameron, Andrew, Cristian Pena, Kate Fenwick, and Si Xie. "Quantum Random Walk Simulator Using Ultrafast Optical Switches." In Quantum Random Walk Simulator Using Ultrafast Optical Switches. US DOE, 2024. https://doi.org/10.2172/2482065.

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Stutz, Philip, Bibek Paudel, Mihaela Verman, and Abraham Bernstein. "Random Walk TripleRush." In WWW '15: 24th International World Wide Web Conference. International World Wide Web Conferences Steering Committee, 2015. http://dx.doi.org/10.1145/2736277.2741687.

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Murai, Shogo, and Yuichi Yoshida. "Estimating Walk-Based Similarities Using Random Walk." In The World Wide Web Conference. ACM Press, 2019. http://dx.doi.org/10.1145/3308558.3313421.

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Zabot, Alexandre, Diogo Nardelli Siebert, and Danilo Silva. "Random Walk in Petrophysics." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-0820.

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Hosaka, Tadaaki, and Toru Ohira. "Repulsive delayed random walk." In Second International Symposium on Fluctuations and Noise, edited by Derek Abbott, Sergey M. Bezrukov, Andras Der, and Angel Sanchez. SPIE, 2004. http://dx.doi.org/10.1117/12.548492.

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Yilmaz, Erdal. "Squeezing angle random walk." In 2016 IEEE International Symposium on Inertial Sensors and Systems. IEEE, 2016. http://dx.doi.org/10.1109/isiss.2016.7435570.

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Reports on the topic "Random walk"

1

Dshalalow, Jewgeni H. Random Walk Analysis in Antagonistic Stochastic Games. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada533481.

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Morris, Richard. Solving random walk problems using resistive analogues. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.529.

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Young, Richard M. Modeling Random Walk Processes In Human Concept Learning. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada462700.

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Bacchetta, Philippe, and Eric van Wincoop. Random Walk Expectations and the Forward Discount Puzzle. National Bureau of Economic Research, 2007. http://dx.doi.org/10.3386/w13205.

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Pan, L., H. H. Liu, M. Cushey, and G. S. Bodvarsson. DCPT: A dual-continua random walk particle tracker fortransport. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/926691.

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Smith, John, Aaron Hill, Leah Reeder, et al. Neuromorphic scaling advantages for energy-efficient random walk computations. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1671377.

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Lunsford, Kurt G., and Kenneth D. West. Random Walk Forecasts of Stationary Processes Have Low Bias. Federal Reserve Bank of Cleveland, 2023. http://dx.doi.org/10.26509/frbc-wp-202318.

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We study the use of a zero mean first difference model to forecast the level of a scalar time series that is stationary in levels. Let bias be the average value of a series of forecast errors. Then the bias of forecasts from a misspecified ARMA model for the first difference of the series will tend to be smaller in magnitude than the bias of forecasts from a correctly specified model for the level of the series. Formally, let P be the number of forecasts. Then the bias from the first difference model has expectation zero and a variance that is O(1/P²), while the variance of the bias from the l

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West, Kenneth. On the Interpretation of Near Random-Walk Behavior in GNP. National Bureau of Economic Research, 1987. http://dx.doi.org/10.3386/w2364.

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Shiller, Robert, and Pierre Perron. Testing the Random Walk Hypothesis: Power versus Frequency of Observation. National Bureau of Economic Research, 1985. http://dx.doi.org/10.3386/t0045.

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Roberts, S. Convergence of a random walk method for the Burgers equation. Office of Scientific and Technical Information (OSTI), 1985. http://dx.doi.org/10.2172/6336620.

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