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Random Walks, Interacting Particles, Dynamic Networks: Randomness Can Be Helpful [chapter]

Colin Cooper
<span title="">2011</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Coalescing particle systems In a coalescing random walk, a set of particles make independent random walks in an undirected connected graph.  ...  Using Randomness in Deterministic Walks In the context of robotics the exploration of graphs is often done using the rotor-router model, or Propp machine. The process works as follows.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-22212-2_1">doi:10.1007/978-3-642-22212-2_1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xgxsyrcrfbgu5pfij47yhv5ngi">fatcat:xgxsyrcrfbgu5pfij47yhv5ngi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20120714013215/http://www.dcs.kcl.ac.uk/staff/ccooper/papers/randomnets.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/02/ae/02aeca30bb9c06d78c1cd767de5fb2b12f7635eb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-22212-2_1"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Dispersion processes

Colin Cooper, Andrew McDowell, Tomasz Radzik, Nicolás Rivera, Takeharu Shiraga
<span title="2018-10-29">2018</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wtbq2zeu3fctdhu67pe2vn6hti" style="color: black;">Random structures &amp; algorithms (Print)</a> </i> &nbsp;
The process ends at the first step when no vertex is occupied by more than one particle.  ...  At each time step, at each vertex v occupied by more than one particle at the beginning of this step, each of these particles moves to a neighbour of v chosen independently and uniformly at random.  ...  Acknowledgements We thank Tony Johansson and Fiona Skerman for spotting a mistake in an earlier version of the paper, and for offering suggestions on how to correct it.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/rsa.20822">doi:10.1002/rsa.20822</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/32n3oi7e45eclcwtzlwse7jhme">fatcat:32n3oi7e45eclcwtzlwse7jhme</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200311120247/https://kclpure.kcl.ac.uk/ws/files/101684926/Dispersion_RSA_Ver_3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0f/42/0f4254d29979f28bae06134756cb815b9c929fd2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/rsa.20822"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a>

The Dispersion Time of Random Walks on Finite Graphs

Nicolás Rivera, Thomas Sauerwald, Alexandre Stauffer, John Sylvester
<span title="">2019</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tewj77cuufbzbgbk265bb462ga" style="color: black;">The 31st ACM on Symposium on Parallelism in Algorithms and Architectures - SPAA &#39;19</a> </i> &nbsp;
Each particle performs a simple random walk until it first encounters an unoccupied vertex, at which point the vertex becomes occupied and the random walk terminates.  ...  CCS CONCEPTS • Theory of computation → Random walks and Markov chains.  ...  The rotor-router walk, or Propp machine, is the process which drives rotor-routor aggregation. This is a deterministic version of the simple random walk and has been used in load balancing [2] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3323165.3323204">doi:10.1145/3323165.3323204</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/spaa/RiveraSSS19.html">dblp:conf/spaa/RiveraSSS19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ugqwdpa4onaxjpcmad6s47kozi">fatcat:ugqwdpa4onaxjpcmad6s47kozi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200312232440/https://www.repository.cam.ac.uk/bitstream/handle/1810/294353/Rivera_et_al.pdf;jsessionid=7FB987A13D1843D8A4819BD101F6C3E6?sequence=4" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b6/0b/b60b8ae4d0e1b42124b486f1cddc614898b5f4cf.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3323165.3323204"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Negative differential mobility in interacting particle systems

Amit Kumar Chatterjee, Urna Basu, P. K. Mohanty
<span title="2018-05-29">2018</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5pgnwkvlevhybgsbuc3q7fchx4" style="color: black;">Physical review. E</a> </i> &nbsp;
This phenomenon, resulting from inter-particle interactions, is illustrated in a pedagogical example of two interacting random walkers, one of which is biased by an external field while the same field  ...  We propose a new mechanism for complex many-particle systems where slowing down of certain non-driven degrees of freedom by the external field can give rise to NDM.  ...  By the detailed study of two cases, we show that: (a) the boundary of the pattern displays KPZ fluctuations with a Tracy-Widom distribution, (b) as one increases the amount of randomness, the rotor-router  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.97.052137">doi:10.1103/physreve.97.052137</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/29906917">pmid:29906917</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/q4z2aaqbivg5ngro5prv65tat4">fatcat:q4z2aaqbivg5ngro5prv65tat4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190305025953/http://pdfs.semanticscholar.org/ce2e/3b4fdcbaf04a8459cac26b665fd5af578d99.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ce/2e/ce2e3b4fdcbaf04a8459cac26b665fd5af578d99.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.97.052137"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Complex networks: Structure and dynamics

S BOCCALETTI, V LATORA, Y MORENO, M CHAVEZ, D HWANG
<span title="">2006</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jpqyz5yp6vdibnpfaxmvgvtise" style="color: black;">Physics reports</a> </i> &nbsp;
On the other hand, many relevant questions arise when studying complex networks' dynamics, such as learning how a large ensemble of dynamical systems that interact through a complex wiring topology can  ...  Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highly interconnected  ...  Introduction Acknowledgements At the end of a such work, we would like to acknowledge all scientists with whom we had (and have) interactions on this topic.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physrep.2005.10.009">doi:10.1016/j.physrep.2005.10.009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/us3vssqn6ngcxdi4ise2znlcdi">fatcat:us3vssqn6ngcxdi4ise2znlcdi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170831214714/http://www.cse.cuhk.edu.hk/~cslui/CMSC5734/structure_and_dynamics.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/10/92/1092196dfbef6d4dde0e6e5c1763dcb555d793ff.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physrep.2005.10.009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

The dispersion time of random walks on finite graphs [article]

Nicolas Rivera, Alexandre Stauffer, Thomas Sauerwald, John Sylvester
<span title="2019-11-26">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Each particle performs a simple random walk until first encountering an unoccupied vertex, and at which point the vertex becomes occupied and the random walk terminates.  ...  In one of the processes, called Sequential-IDLA, only one particle moves until settling and only then does the next particle start whereas in the second process, called Parallel-IDLA, all unsettled particles  ...  Other models related to IDLA include rotor-router aggregation, chip firing, Abelian sandpile models and activated random walks [11, 38, 49] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1808.09219v2">arXiv:1808.09219v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pp4thxn7sjcwlowabfcn5qj65u">fatcat:pp4thxn7sjcwlowabfcn5qj65u</a> </span>
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Averaging Principle and Shape Theorem for a Growth Model with Memory [article]

Amir Dembo, Pablo Groisman, Ruojun Huang, Vladas Sidoravicius
<span title="2020-08-19">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
It includes once-reinforced random walk with strong reinforcement, origin-excited random walk, and few others, for which the set of visited vertices is expected to form a "limiting shape".  ...  idla under more general, albeit still fixed, source locations to pde free boundary problems (a Stefan problem in [16] , and an obstacle problem in [30] who also obtain analogous shape theorems for rotor-router  ...  Origin-excited random walk on Z 2 with three different excitation rules.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1812.00726v2">arXiv:1812.00726v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tnv22pq735e7tpci4gahzoth7q">fatcat:tnv22pq735e7tpci4gahzoth7q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200825225155/https://arxiv.org/pdf/1812.00726v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5a/1e/5a1e7753b2748be13151046fd4c87069c68f1d8b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1812.00726v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Multiple Mobile Robot Systems [chapter]

Lynne E. Parker, Daniela Rus, Gaurav S. Sukhatme
<span title="">2016</span> <i title="Springer International Publishing"> Springer Handbook of Robotics </i> &nbsp;
One of the newest lattice-type modular robotics is an aerial system composed of identical, hexagonal, single-rotor modules [53.205] .  ...  In [53.161], Kamimura et al. employ a set of interconnected, out of phase oscillators to achieve walking gaits in the M-TRAN system.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-32552-1_53">doi:10.1007/978-3-319-32552-1_53</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rijl5w2zuvfyhjyx3drntjwvam">fatcat:rijl5w2zuvfyhjyx3drntjwvam</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190228155238/http://pdfs.semanticscholar.org/94b5/de91b42498fcbe0de98ae4eb77fb16f0faaa.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/94/b5/94b5de91b42498fcbe0de98ae4eb77fb16f0faaa.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-32552-1_53"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Computer and Information Science, Vol. 1, No. 2, May 2008, all in one file

Editor CIS
<span title="2008-04-10">2008</span> <i title="Canadian Center of Science and Education"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/e3eberciqvbc3am2h4ordzdxu4" style="color: black;">Computer and Information Science</a> </i> &nbsp;
This suggests that, while a voice-activated expression editor based on VEE might not be attractive to the general population of programmers, it might very nicely fit into a voice-activated editor (such  ...  of data from another router.  ...  Because of the double salient construction of the SRM and its magnetic effects, in general the flux linked in one phase varies as a function of rotor position θ and the motor current.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5539/cis.v1n2p0">doi:10.5539/cis.v1n2p0</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/plvvknmc2jel3m3tzfz7bs2mdu">fatcat:plvvknmc2jel3m3tzfz7bs2mdu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706091636/http://ccsenet.org/journal/index.php/cis/article/download/91/80/" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/13/63/1363835f88b07b0f567cb90283fe7b7b8ed6ebed.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5539/cis.v1n2p0"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Emergence and complexity in theoretical models of self-organized criticality [article]

Tridib Sadhu
<span title="2017-01-04">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
His emphasis on perfection and strong sense of work ethics have had a deep  ...  -If there are more than one particle at one site, they coalesce and become a single particle whose mass is the sum of the masses of the coalescing parts.  ...  There are other models, which are related to the abelian sandpile model, e.g. the Internal Diffusion-Limited Aggregation (IDLA), Eulerian walkers (also called the rotor-router model), and the infinitely-divisible  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1701.01125v1">arXiv:1701.01125v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fitlnh4fpfcv5k3qgz6kgmmaay">fatcat:fitlnh4fpfcv5k3qgz6kgmmaay</a> </span>
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Autonomous perception and decision-making in cyber-physical systems

Asok Ray
<span title="">2013</span> <i title="IEEE"> 2013 8th International Conference on Computer Science &amp; Education </i> &nbsp;
The proposed technology is validated on various (experimental and simulated) case studies that include health monitoring of aircraft gas turbine engines, detection and estimation of fatigue damage in polycrystalline  ...  The cyber-physical system (CPS) is a relatively new interdisciplinary technology area that includes the general class of embedded and hybrid systems.  ...  • φ Ratio of rotor tip and axial fluid flow velocities.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/iccse.2013.6554173">doi:10.1109/iccse.2013.6554173</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/243gtheg6vd6jaz7pauyr447aa">fatcat:243gtheg6vd6jaz7pauyr447aa</a> </span>
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Contents Page

<span title="2014-11-18">2014</span> <i title="Oxford University Press (OUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/44gnyxptifd25gwn2cxqvrtzze" style="color: black;">Journal of the Pediatric Infectious Diseases Society</a> </i> &nbsp;
15 * 1 Jan 2002 Conveyors 30 * 1 Jan 2002 Crushers 15 * 1 Jan 2002 On-site storage silos, concrete or steel 30 * 1 Jan 2002 Fuel supply and handling: On-site gaseous fuel supply systems  ...  sw ing over, double up and rapid exit) 15 * 1 Jul 2007 Rotary 15 * 1 Jul 2007 Walk through 15 * 1 Jul 2007 Filters 15 * 1 Jul 2016 Milking systems (incorporating clusters, sw ing over  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1093/jpids/pit111">doi:10.1093/jpids/pit111</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cs4k7djoyne6hmydcxrtrp4ge4">fatcat:cs4k7djoyne6hmydcxrtrp4ge4</a> </span>
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