The Conservation Multiplier

Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach

The conservation laws for the integrable coupled KDV type system, complexly coupled kdv system, coupled system arising from complex-valued KDV in magnetized plasma, Ito integrable system, and Navier stokes equations of gas dynamics are computed by multipliers approach. First of all, we calculate the multipliers depending on dependent variables, independent variables, and derivatives of dependen...

The Finance-Uncertainty Multiplier∗

We show theoretically and empirically how real and financial frictions amplify the impact of uncertainty shocks on firms’investment, employment, debt (term structure of debt growth), and cash holding. We start by building a model with real and financial frictions, alongside uncertainty shocks, and show how adding financial frictions to the model roughly doubles the negative impact of uncertaint...

The Social Multiplier

In many cases, aggregate data is used to make inferences about individual level behavior. If there are social interactions in which one person’s actions influence his neighbor’s incentives or information, then these inferences are inappropriate. The presence of positive social interactions, or strategic complementarities, implies the existence of a social multiplier where aggregate relationship...

On the Nilpotent Multiplier of a Free Product

On the cyclic Homology of multiplier Hopf algebras

In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...