Results 141 to 150 of about 194 (182)
The Natural Components of a Regular Linear System
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley +1 more source
Tariff: The Most Beautiful Word in the Dictionary?
ABSTRACT We consider the welfare impacts of US tariff policy at levels proposed by President Donald J. Trump. General‐equilibrium simulations under a widely used transparent one‐sector trade model reveal sizable US welfare losses. When we extend the model to include bilateral firm selection and high resolution input–output linkages, the US losses ...
Edward J. Balistreri +2 more
wiley +1 more source
Markup Centrality and International Incidence in Global Production Networks
ABSTRACT This paper develops a framework to measure how markups amplify prices through global production networks and to attribute final‐demand price wedges to upstream country‐industry sources. The approach defines a compound markup as the ratio of observed prices to counterfactual pure‐cost prices that would prevail if all markups in the network were
Constantin Colonescu
wiley +1 more source
Repelled Point Processes With Application to Numerical Integration
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
Secondary School Mathematics Teachers' Accuracy at Predicting Student Errors
ABSTRACT We studied changes over time in secondary school mathematics teachers' accuracy in predicting students' errors. In a total of 37 sessions, seven teachers were asked to predict the percentage of students choosing each option in five multiple‐choice diagnostic questions taken from the free website https://diagnosticquestions.com/.
Aidan Stannard, Colin Foster
wiley +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source

