Results 121 to 130 of about 4,072,499 (360)
A Markov approach to credit rating migration conditional on economic states
Canadian Journal of Statistics, EarlyView.Abstract We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time‐homogeneous Markov chain. While the rating process itself possesses the Markov property only under restrictive conditions, methods ...
Michael Kalkbrener, Natalie Packham
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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An Integro-Differential Structure for Dirac Distributions
, 2018 We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
core
Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
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Two-dimensional fractional algebraic internal solitary waves model and its solution
Advances in Mechanical Engineering, 2019 With the development of theory and advancement of scientific research, fractional calculus has begun to be considered as a method for the study of physical systems. In this work, based on the basic system of equations for internal solitary waves, we have
Yuqing Li +3 more
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Transformation methods for differential-algebraic equations [PDF]
, 1990 E. Griepentrog
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Contributions to Plasma Physics, EarlyView.ABSTRACT A methodological study is presented on a noninvasive photometric diagnostic for determining trends in electron density and sheath dynamics in single (1f) and a dual (2f) radio frequency capacitively coupled (CCRF) argon plasmas. The 1f discharges are operated at 13.56 and 27.12 MHz, respectively, while the 2f discharge is driven by both ...
Daniel Zuhayra +3 more
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An approximation technique for solving nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active ControlRecently, an approximation technique was presented for solving strong nonlinear oscillators modeled by second-order differential equations. Due to the arising of an algebraic complicity, the method fails to determine suitable solution of some important ...
Md Ashraful Huq, M Kamrul Hasan, MS Alam
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The Curriculum Journal, EarlyView.Abstract This study explored how lecturers in a post‐92 UK university conceptualise and enact decolonial curriculum principles within their teaching and programme design. Drawing on semi‐structured interviews with academic staff across multiple disciplines, the research adopts a qualitative, phenomenologically informed approach to examine the interplay
Reece Sohdi
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