Stochastic Methods: A Handbook for the Natural and Social Sciences

By C. Gardiner. 2009

1,511 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/eb81cbe0773b2dc092e35b163e63309d5ba9f891

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Citations in the corpus

Irreversible entropy production: From classical to quantum (2020, background): “(155) and (156) can be given if we assume that the dynamics satisfies detailed balance (Gardiner, 2010; van Kampen, 2007; Tomé and de Oliveira, 2014); viz.”
Continuous wind speed models based on stochastic differential equations (2013, background): “the resulting process has the following statistical properties [37]:”
Rollover Risk, Network Structure and Systemic Financial Crises (2012, unknown): “The processes for the evolution of the interbank network canbe described by a master equation (see Gardiner (2009)) for the probabilitydistribution function Pt(A) that at timet we observe the interbank networkA(t) = A.”
Statistical physics of vaccination (2016, methodology): “In such a case, however, one can use a system-size approximations [114,115].”
Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities (2016, methodology): “To this end, we employ the Itô formula of differentiation in the function of an n-dimensional vector [67] to find”
An interactive tool for semi-automated leaf annotation (2015, background): “The concept of random walks on graphs has been developed in probability theory [28], and applied to several scientific fields, such as biology, physics, chemistry, or the social sciences [12].”
Concepts of quantum non-Markovianity: A hierarchy (2017, background): “(145) describes the deterministic component of the process, and A(xt, t) is called the drift vector [44].”
Three Factors Influencing Minima in SGD (2017, methodology): “5 of Gardiner. (5)The Boltzmann equilibrium distribution of an SDE related to SGD was also investigated by Heskes & Kappen (1993) but only for the online setting (i.e. a batch size of one). (6)Here we assume a weak regularity condition that either the weights belong to a compact space or that the lo”