Results 71 to 80 of about 367,563 (184)
Some mixing conditions for stationary symmetric stable stochastic processes
Stochastic Processes and their Applications, 1994 Necessary and sufficient conditions for mixing of non-Gaussian stationary symmetric stable processes \(X_ t\), \(t \in R\), are given in terms of the spectral representation \((U,f)\), where \(U=U^ t\), \(t\in R\), is a group of isometries on the linear subspace \(L\) of some class of real-valued functions \[ L^ \alpha (E,{\mathcal E}, \mu) = \Bigl \{f
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Safeness Index-Based Economic Model Predictive Control of Stochastic Nonlinear Systems
Mathematics, 2018 Process operational safety plays an important role in designing control systems for chemical processes. Motivated by this, in this work, we develop a process Safeness Index-based economic model predictive control system for a broad class of stochastic ...
Zhe Wu +2 more
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The Evolution of Exchange [PDF]
Stochastic stability is applied to the problem of exchange. We analyze the stochastic stability of two dynamic trading processes in a simple housing market.
Assaf Ben-Shoham +2 more
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Power Variation and Time Change [PDF]
This paper provides limit distribution results for power variation, that is sums of powers of absolute increments, for certain types of time-changed Brownian motion and $\alpha $-stable processes.
Neil Shephard, Ole E. Barndorff-Nielsen
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PLoS Computational Biology, 2012 Phenotypic differences of genetically identical cells under the same environmental conditions have been attributed to the inherent stochasticity of biochemical processes.
Rebecca B Hoyle +2 more
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Stable cylindrical L��vy processes and the stochastic Cauchy problem
, 2018 In this work, we consider the stochastic Cauchy problem driven by the canonical $ $-stable cylindrical L vy process. This noise naturally generalises the cylindrical Brownian motion or space-time Gaussian white noise. We derive a sufficient and necessary condition for the existence of the weak and mild solution of the stochastic Cauchy problem and ...
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Stochastic fluctuations and distributed control of gene expression impact cellular memory.
PLoS ONE, 2014 Despite the stochastic noise that characterizes all cellular processes the cells are able to maintain and transmit to their daughter cells the stable level of gene expression.
Guillaume Corre +10 more
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Entropy, 2017 In this work, we present a numerical study of the influence of matrix degrading enzyme (MDE) dynamics and haptotaxis on the development of vessel networks in tumor-induced angiogenesis.
Luis L. Bonilla +2 more
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Perturbation of an α-stable type stochastic process by a pseudo-gradient
Modern Stochastics: Theory and ApplicationsA Markov process defined by some pseudo-differential operator of an order $1\lt \alpha \lt 2$ as the process generator is considered. Using a pseudo-gradient operator, that is, the operator defined by the symbol $i\lambda |\lambda {|^{\beta -1}}$ with some $0\lt \beta \lt 1$, the perturbation of the Markov process under consideration by the pseudo ...
Mykola Boiko, Mykhailo Osypchuk
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Invariant measures of stochastic $2D$ Navier-Stokes equation driven by $\alpha$-stable processes
Electronic Communications in Probability, 2011 في هذه الملاحظة، نثبت الوضعية الجيدة لمعادلة ستوكاستيك $ 2D $ Navier - Stokes المدفوعة بعمليات ليفي العامة (على وجه الخصوص، العمليات المستقرة $\alpha$)، ونحصل على وجود مقاييس ثابتة.
Zhao Dong, Lihu Xu, Xicheng Zhang
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