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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey
International Journal of Differential Equations, 2010 In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as 𝑀-Wright function, entering as a probability density in a relevant class of self-similar stochastic processes that we generally refer to as ...
Francesco Mainardi +2 more
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Social Influence on Observed Race
Sociological Science, 2018 This article introduces a novel theoretical approach for understanding racial fluidity, emphasizing the social embeddedness of racial classifications. We propose that social ties affect racial perceptions through within-group micromechanisms, resulting ...
Zsófia Boda
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Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
Cells, 2013 We review in this paper the use of the theory of scale relativity and fractal space-time as a tool particularly well adapted to the possible development of a future genuine systems theoretical biology.
Laurent Nottale
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Collective dynamics of gene expression in cell populations.
PLoS ONE, 2011 The phenotypic state of the cell is commonly thought to be determined by the set of expressed genes. However, given the apparent complexity of genetic networks, it remains open what processes stabilize a particular phenotypic state.
Elad Stolovicki, Erez Braun
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Invariance properties of the negative binomial Levy process and stochastic self-similarity [PDF]
International Mathematical Forum, 2007 We study the concept of self-similarity with respect to stochastic time change. The negative binomial process (NBP) is an example of a family of random time transformations with respect to which stochastic self-similarity holds for certain stochastic processes.
T. J. Kozubowski, K. Podgorski
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Stochastic simulation of destruction processes in self-irradiated materials
Condensed Matter Physics, 2017 Self-irradiation damages resulting from fission processes are common phenomena observed in nuclear fuel containing (NFC) materials. Numerous α-decays lead to local structure transformations in NFC materials.
T. Patsahan +4 more
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Continuous time volatility modelling: COGARCH versus Ornstein-Uhlenbeck models [PDF]
, 2005 We compare the probabilistic properties of the non-Gaussian Ornstein-Uhlenbeck based stochastic volatility model of Barndorff-Nielsen and Shephard (2001) with those of the COGARCH process.
Ross Maller +6 more
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Coevolving edge rounding and shape of glacial erratics: the case of Shap granite, UK [PDF]
Earth Surface DynamicsThe size distributions and the shapes of detrital rock clasts can shed light on the environmental history of the clast assemblages and the processes responsible for clast comminution.
P. A. Carling
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Journal of Statistical Mechanics: Theory and Experiment, 2022 Abstract We study the fluctuations of the area A ( t
Smith, Naftali R., Majumdar, Satya N.
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Self-dual continuous processes [PDF]
, 2013 The important application of semi-static hedging in financial markets naturally leads to the notion of conditionally quasi self-dual processes which is, for continuous semimartingales, related to conditional symmetry properties of both their ordinary as ...
Rheinländer, Thorsten, Schmutz, Michael
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