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Arbitrary truncated Levy flight: Asymmetrical truncation and high-order correlations

Dmitry V. Vinogradov
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
The generalized correlation approach has been used to describe a non-Gaussian random walk with independent, identically distributed increments in the general case, and high-order correlations have been  ...  The generalized correlation approach, which has been successfully used in statistical radio physics to describe non-Gaussian random processes, is proposed to describe stochastic financial processes.  ...  For example, the physical processes of Brownian motion and diffusion are described by the Gaussian random walk, which is a stochastically self-similar process with a fractal dimension equal to 2 [2] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2012.06.022">doi:10.1016/j.physa.2012.06.022</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/csxup3x72bd5llywnm2jlw5g2e">fatcat:csxup3x72bd5llywnm2jlw5g2e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200930003748/https://arxiv.org/ftp/arxiv/papers/1205/1205.3671.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/51/b5/51b57e4e64bafce3bc406b42d8683c4d64495c02.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2012.06.022"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

MCMC Estimation of SVDJ Model with Jump Risk

Yiming Wang, Hanfei Tong
<span title="">2008</span> <i title="IEEE"> 2008 4th International Conference on Wireless Communications, Networking and Mobile Computing </i> &nbsp;
In this paper, we propose a new stochastic model, SVDJ model which has allowed for jump risk, to describe the dynamics behavior of spot exchange rate, and develop a MCMC (Markov Chain Monte Carlo) method  ...  Hence, along with jump behavior, asymmetric volatility or leverage effect is also necessary to be included in the model.  ...  To further investigate the capability of our SVDJ model in describing the actual exchange rate and compare it with other traditional diffusion model, we also provide the estimation for a typical model  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/wicom.2008.2417">doi:10.1109/wicom.2008.2417</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zrfdwa7bpjfx5blb2dhgga24ua">fatcat:zrfdwa7bpjfx5blb2dhgga24ua</a> </span>
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Dynamic Transition States of ErbB1 Phosphorylation Predicted by Spatial Stochastic Modeling

Meghan McCabe Pryor, Shalini T. Low-Nam, Ádám M. Halász, Diane S. Lidke, Bridget S. Wilson, Jeremy S. Edwards
<span title="">2013</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dez2wau7t5aqvklzwrcsreuwq4" style="color: black;">Biophysical Journal</a> </i> &nbsp;
The asymmetric dimer model considers the theoretical consequences of restricted transactivation of erbB1 receptors within a dimer, where the N-lobe of one monomer docks with the C-lobe of the second monomer  ...  The model reveals the complex interplay between interacting liganded and nonliganded species and the influence of their distribution and abundance within features of the membrane landscape.  ...  Our approach is based upon mathematical modeling, using a spatial stochastic framework that incorporates the concepts of membrane domains.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.bpj.2013.07.056">doi:10.1016/j.bpj.2013.07.056</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/24048005">pmid:24048005</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3785885/">pmcid:PMC3785885</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pbkpm4hszbeuvbznglsqnnea24">fatcat:pbkpm4hszbeuvbznglsqnnea24</a> </span>
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Stabilizing spiral structures in the asymmetric May-Leonard model [article]

Shannon R. Serrao, Uwe C. Täuber
<span title="2021-07-16">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We study the induction and stabilization of spiral structures for the cyclic three-species stochastic May-Leonard model with asymmetric predation rates on a spatially inhomogeneous two-dimensional toroidal  ...  rates in the spatially coupled system with the corresponding asymmetric May-Leonard model in isolation.  ...  Lazarus Arnau contributed to a preliminary study concerning a distinct system of coupled ecologies, which in part motivated the present work.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2105.08126v2">arXiv:2105.08126v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ivjcky3nafffhedpdzoweh23e4">fatcat:ivjcky3nafffhedpdzoweh23e4</a> </span>
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Special issue on transport in narrow channels

Paolo Malgaretti, Gleb Oshanin, Julian Talbot
<span title="2019-04-26">2019</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yojdv2w2kvbhpfrlimnuijuoza" style="color: black;">Journal of Physics: Condensed Matter</a> </i> &nbsp;
We thank the authors for their contributions and the editors of the Journal of Physics: Condensed Matter for the opportunity to serve as guest editors of this special issue.  ...  This approach is used in two of the present contributions: Chávez et al [2] develop a theory for the position-dependent effective diffusivity for two-dimensional asymmetric varying-width channels, and  ...  Coalson and Jasnow [18] present discrete state models of single-file ion permeation through a narrow ion channel pore and use them to analyze the ratio of forward to backward tracer current.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1361-648x/ab1548">doi:10.1088/1361-648x/ab1548</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/31025626">pmid:31025626</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vf5x2klcdfeetngx7jcr3o23g4">fatcat:vf5x2klcdfeetngx7jcr3o23g4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200310033558/https://iopscience.iop.org/article/10.1088/1361-648X/ab1548/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/08/a9/08a90b9af09fce5ebbcba471da352dbb1d13a829.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1361-648x/ab1548"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> iop.org </button> </a>

Identification of asymmetric current fluctuations in small systems

Carlo Paneni, Debra Searles, Lamberto Rondoni
<span title="">2006</span> <i title="IEEE"> 2006 International Conference on Nanoscience and Nanotechnology </i> &nbsp;
In previous work, we observed fluctuations with asymmetric behavior in a microscopic system of particles undergoing Couette flow.  ...  Since mesoscopic systems can be considered as a collection of microscopic systems, we are led to ask: is this a fictitious effect of stochastic models, or does this asymmetry in the fluctuations even occur  ...  ACKNOWLEDGMENTS The authors wish to thank the Australian Research Council, The Queensland Parallel Computing Facility and the Australian National Facility for support of this work. We thank Peter J.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/iconn.2006.340713">doi:10.1109/iconn.2006.340713</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lvdvumazifdtja63vni6blj2z4">fatcat:lvdvumazifdtja63vni6blj2z4</a> </span>
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Page 5705 of Mathematical Reviews Vol. , Issue 96i [page]

<span title="">1996</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(F-CENS-SP; Gif-sur-Yvette) Exact diffusion constant of a one-dimensional asymmetric exclusion model with open boundaries. (English summary) J. Statist. Phys. 79 (1995), no. 5-6, 833-874.  ...  These cases with the full considera- tion of inertial effects lead to a modified diffusion equation with time-dependent diffusion coefficients determined by the initial con- dition of the velocity distribution  ... 
<span class="external-identifiers"> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_mathematical-reviews_1996-09_96i/page/5705" title="read fulltext microfilm" 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> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_mathematical-reviews_1996-09_96i/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Nonadiabatic Quantum Brownian Rectifiers

Igor Goychuk, Milena Grifoni, Peter Hänggi
<span title="1998-07-20">1998</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
Quantum dissipation is modeled by an ensemble of harmonic oscillators bilinearly coupled to the driven system [9]; i.e.,  ...  However, as a result of a ratchetlike mechanism, a finite current occurs when quantum equilibrium fluctuations interplay with (classical) nonthermal noise.  ...  With noise strength s approaching zero the corresponding diffusion coefficient in (9) tends to infinity.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.81.649">doi:10.1103/physrevlett.81.649</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/afrjam2eezhxvnwdiqpdet2adu">fatcat:afrjam2eezhxvnwdiqpdet2adu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20120227015959/http://www.physik.uni-augsburg.de/theo1/hanggi/Papers/217.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/cc/a5/cca568e09b5be3cb7f28df51c1d255f5021ee30e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.81.649"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Fast and accurate Monte Carlo sampling of first-passage times from Wiener diffusion models

Jan Drugowitsch
<span title="2016-02-11">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
In its most basic form it is restricted to diffusion models with symmetric boundaries and non-leaky accumulation, but our approach can be extended to also handle asymmetric boundaries or to approximate  ...  We present a new, fast approach for drawing boundary crossing samples from Wiener diffusion models. Diffusion models are widely applied to model choices and reaction times in two-choice decisions.  ...  Acknowledgements I would like to thank Alexandre Pouget for general support, and Simon Barthelmé for fruitful discussions and comments on an early draft of this manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/srep20490">doi:10.1038/srep20490</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26864391">pmid:26864391</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4750067/">pmcid:PMC4750067</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/idknuwx3qne3rpbg3mzquajmsm">fatcat:idknuwx3qne3rpbg3mzquajmsm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200511013625/https://www.nature.com/articles/srep20490.pdf?error=cookies_not_supported&amp;code=1aa7bd66-8fb4-4d1c-8c36-dfd64e827604" 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/ca/a2/caa294e15735eb421985ba90becc88a6d7a8fcae.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/srep20490"> <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> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4750067" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Memory of cell shape biases stochastic fate decision-making despite mitotic rounding

Takashi Akanuma, Cong Chen, Tetsuo Sato, Roeland M. H. Merks, Thomas N. Sato
<span title="2016-06-28">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a4wan6l5o5dfzn767kyz7jqevi" style="color: black;">Nature Communications</a> </i> &nbsp;
Simulation with varying parameters predicts that diffusion rate and abundance of Delta molecules quantitatively influence the bias.  ...  These predictions are experimentally validated by physical and genetic methods, showing that cells exploit a mechanism reported herein to influence their future fates based on their past shape despite  ...  We are also grateful to the Sato and Merks lab members for advice and discussion throughout the course of this work. C.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/ncomms11963">doi:10.1038/ncomms11963</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/27349214">pmid:27349214</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4931277/">pmcid:PMC4931277</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ckmwebugr5ar3ltayoqkan36ai">fatcat:ckmwebugr5ar3ltayoqkan36ai</a> </span>
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Bifurcations and phase transitions in spatially extended two-member hypercycles

Josep Sardanyés, Ricard V. Solé
<span title="">2006</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fydada535zbx7el5lxtbdrx6ga" style="color: black;">Journal of Theoretical Biology</a> </i> &nbsp;
In order to characterize it, both mean field models and stochastic, spatially explicit approaches are considered.  ...  The mean field approach predicts the presence of a saddle-node bifurcation separating a phase involving stable hypercycles from extinction, consistently with spatially explicit models, where an absorbing  ...  Acknowledgments We want to thank the Complex Systems Lab staff as well as the reviewers of this work for useful comments and suggestions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jtbi.2006.07.014">doi:10.1016/j.jtbi.2006.07.014</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/16942781">pmid:16942781</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cy66wkqykvfzta37yy5bpz4hj4">fatcat:cy66wkqykvfzta37yy5bpz4hj4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922232103/http://complex.upf.es/~ricard/BIF_PHASETRANS_HYPERCYCLES.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/0d/cd/0dcdec273d67ae17b24fdd9887de6175b39d45c7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jtbi.2006.07.014"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Non-Fickian interdiffusion of dynamically asymmetric species: A molecular-dynamics study

Jacqueline Yaneva, Burkhard Dünweg, Andrey Milchev
<span title="2005-05-22">2005</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hnc5ddfunnd3taca63uf5ggldm" style="color: black;">Journal of Chemical Physics</a> </i> &nbsp;
We use Molecular Dynamics combined with Dissipative Particle Dynamics to construct a model of a binary mixture where the two species differ only in their dynamic properties (friction coefficients).  ...  While for weak asymmetry we observe Fickian behavior, a strongly asymmetric system exhibits clear indications of anomalous diffusion, which occurs in a crossover region between the Cases I (Fickian) and  ...  We believe that a combination of our approach with a polymer model would prove promising in revealing the molecular aspects of anomalous diffusion in glassy polymers.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1897371">doi:10.1063/1.1897371</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/15945711">pmid:15945711</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ldm7nmjmqbahpjaqgkjbt63era">fatcat:ldm7nmjmqbahpjaqgkjbt63era</a> </span>
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Modeling and estimating the jump risk of exchange rates: Applications to RMB

Yiming Wang, Hanfei Tong
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
In this paper we propose a new type of continuous-time stochastic volatility model, SVDJ, for the spot exchange rate of RMB, and other foreign currencies.  ...  Furthermore, we develop a MCMC method to estimate our model. Empirical results indicate the significant existence of jumps in the exchange rate.  ...  Hence, along with jump behavior, asymmetric volatility or leverage effect is also necessary to be included in the model.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2008.08.017">doi:10.1016/j.physa.2008.08.017</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5jhna6fftnainkbgrtl2wxva7m">fatcat:5jhna6fftnainkbgrtl2wxva7m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190223053250/https://core.ac.uk/download/pdf/41369973.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/d3/10d31ac48c9ff99b8604dc6057a9015203d8e3b5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2008.08.017"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Brownian-motion based simulation of stochastic reaction–diffusion systems for affinity based sensors

Gerhard Tulzer, Clemens Heitzinger
<span title="2016-03-04">2016</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dtyhvneiqnak7lq5kh2hd4cjme" style="color: black;">Nanotechnology</a> </i> &nbsp;
The model combines a stochastic ordinary differential equation for the binding and unbinding of target molecules as well as a diffusion equation for their transport in the liquid.  ...  A Brownian-motion based algorithm simulates the diffusion process, which is linked to a stochastic-simulation algorithm for association at and dissociation from the surface.  ...  Acknowledgments The authors acknowledge support by FWF (Austrian Science Fund) START Project NoY660 PDE Models for Nanotechnology.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0957-4484/27/16/165501">doi:10.1088/0957-4484/27/16/165501</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26939610">pmid:26939610</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mlmdnu563vdbphw2bxvrtwggmu">fatcat:mlmdnu563vdbphw2bxvrtwggmu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190308042929/http://pdfs.semanticscholar.org/ec9c/722995339d3b34faefc42bfbc13d56fb7d36.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/ec/9c/ec9c722995339d3b34faefc42bfbc13d56fb7d36.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0957-4484/27/16/165501"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> iop.org </button> </a>

Anomalous diffusion schemes underlying the Cole–Cole relaxation: The role of the inverse-time -stable subordinator

Marcin Magdziarz, Karina Weron
<span title="">2006</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
We elucidate the role of the subordinate stochastic processes as the main mathematical tool that allows us to modify the dynamics of the classical, exponential relaxation process.  ...  The random-variable formalism of anomalous diffusion processes is presented.  ...  The proposed approach may serve as a basis for a model which in the framework of the CTRW can lead to the frequency-domain Havriliak-Negami relaxation response.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2005.12.011">doi:10.1016/j.physa.2005.12.011</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vqgh6nfsmjabthbpyfigmzob4i">fatcat:vqgh6nfsmjabthbpyfigmzob4i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810101916/http://prac.im.pwr.wroc.pl/~hugo/publ/MMagdziarzKWeron_Anomal_Subord_Acta_B_2006.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/06/16/06165a36eda7aed1a083d6f652249339d3e88836.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2005.12.011"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>
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