Results 111 to 120 of about 411,141 (342)
Communications on Pure and Applied Mathematics, EarlyView.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices
, 2005 We give a uniform interpretation of the classical continuous Chebyshev's and Hahn's orthogonal polynomials of discrete variable in terms of Feigin's Lie algebra gl(N), where N is any complex number.
A. F. Nikiforov +15 more
core +1 more source
Processes and Predictions in Ecological Models: Logic and Causality
Journal of Forecasting, EarlyView.ABSTRACT To make credible ecological predictions for terrestrial ecosystems in a changing environment and increase our understanding of ecological processes, we need plant ecological models that can be fitted to spatial and temporal ecological data.
Christian Damgaard
wiley +1 more source
Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj +1 more source
Weak convergence of orthogonal polynomials [PDF]
arXiv, 1994 The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generalize known results and are applied to several systems of orthogonal polynomials, including orthogonal polynomials on a finite set of points.
arxiv
Stock Return Prediction Based on a Functional Capital Asset Pricing Model
Journal of Forecasting, EarlyView.ABSTRACT The capital asset pricing model (CAPM) is readily used to capture a linear relationship between the daily returns of an asset and a market index. We extend this model to an intraday high‐frequency setting by proposing a functional CAPM estimation approach.
Ufuk Beyaztas +3 more
wiley +1 more source
Alternative Jacobi Polynomials and Orthogonal Exponentials [PDF]
arXiv, 2011 Sequences of orthogonal polynomials that are alternative to the Jacobi polynomials on the interval $[0,1]$ are defined and their properties are established. An $(\alpha,\beta)$-parameterized system of orthogonal polynomials of the exponential function on the semi-axis $[0,\infty)$ is presented.
arxiv
The Associated Classical Orthogonal Polynomials [PDF]
, 2001 The associated orthogonal polynomials p n (x;c) are defined by the 3-term recurrence relation with coefficients A n , B n , C n for p n (x) with c = 0, replaced by A n+c, B n+cand C n+c, c being the association parameter. Starting with examples where such polynomials occur in a natural way some of the well-known theories of how to determine their ...
openaire +2 more sources
Informing DSGE Models Through Dynamic Factor Models
Journal of Applied Econometrics, EarlyView.ABSTRACT Structural dynamic factor models (SDFM) represent a reliable tool to inform the construction of dynamic stochastic general equilibrium (DSGE) models. The reason is that the log‐linear solution of a DSGE model has a factor structure which ensures consistency between the representations of the two models.
Mario Forni +3 more
wiley +1 more source
Проблемы анализа, 2019 In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
doaj +1 more source