Local Law for Singular Values of Oscillatory Matrices
International Mathematics Research Notices, 2021 AbstractWe continue the study of spectra of oscillatory random matrices with fully dependent rows. Motivated by the $d$-dimensional skew-shift dynamics from ergodic theory, we introduce the $N\times N$ random matrices $$ \begin{align*} &X_{j,k}=\exp\left(2\pi \textrm{i} \sum_{q=1}^d\ \omega_{j,q} k^q\right), \end{align*}$$where $\{\omega _{j,q}\}_ ...
Arka Adhikari, Marius Lemm
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Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound
East European Journal of Physics, 2022 The problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by the method of small perturbation. The fluid motion is described using the Brinkman model.
Venkatesh Vidya Shree +3 more
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Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval [PDF]
, 2014 We consider polynomials p^w_n(x) that are orthogonal with respect to the oscillatory weight w(x)=exp(iwx) on [?1,1], where w>0 is a real parameter. A first analysis of p^?_n(x) for large values of w was carried out in connection with complex Gaussian ...
Deaño Cabrera, Alfredo, Deaño, Alfredo
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On second-order differential equations with highly oscillatory forcing terms [PDF]
, 2010 We present a method to compute efficiently solutions of systems of ordinary differential equations that possess highly oscillatory forcing terms. This approach is based on asymptotic expansions in inverse powers of the oscillatory parameter,and features ...
Deaño Cabrera, Alfredo +3 more
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Shear viscosity and nonlinear behaviour of whole blood under large amplitude oscillatory shear [PDF]
, 2013 We investigated experimentally the rheological behavior of whole human blood subjected to large amplitude oscillatory shear under strain control to assess its nonlinear viscoelastic response.
Sousa, P.C. +13 more
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The role of node dynamics in shaping emergent functional connectivity patterns in the brain
Network Neuroscience, 2020 The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure–function issue, treating a system of Jansen–Rit neural mass nodes with ...
Forrester, Michael +4 more
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Scale-up of oscillatory flow mixing [PDF]
, 2011 Oscillatory Flow Mixing is a recent development in mixing technology which has evolved over the past decade. It has a number of similarities to other mixing technologies, particularly pulsed and reciprocating plate columns, but at the laboratory scale ...
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Generalized reciprocity principle for discrete symplectic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper studies transformations for conjoined bases of symplectic difference systems $Y_{i+1}=\mathcal S_{i}Y_{i}$ with the symplectic coefficient matrices $\mathcal S_i.$ For an arbitrary symplectic transformation matrix $P_{i}$ we formulate most ...
Julia Elyseeva
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Rheology of Emulsion-Filled Gels Applied to the Development of Food Materials
Gels, 2016 Emulsion-filled gels are classified as soft solid materials and are complex colloids formed by matrices of polymeric gels into which emulsion droplets are incorporated.
Ivana M. Geremias-Andrade +3 more
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Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2015 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
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