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Sevgi Harman

Publications and source records attributed to Sevgi Harman.

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Delayed Keen Model with Inflation

Keen's model describes the dynamics between wage share, employment rate and debt ratio. In literature, the model was extended to represent the effects of inflation and also the speculative money flow. Based on the inflationary model, we take into account a time delay in the inflation term which stands for the period before the effects of inflation are seen. We observe that, the delayed system may experience a Hopf bifurcation and exhibit cyclic behavior around an equilibrium point, although the non-delayed model is stable under the same conditions.

math.DS

Quotients of Leavitt path algebras over rings by $I$-basic graded ideals

In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an $I$-basic graded ideal, and the quotient of a Leavitt path algebra of a row-finite graph by an arbitrary graded ideal are considered. The result of the quotient of a Leavitt path algebra by an arbitrary graded ideal is extended by using the function $\varphi$. Examples are given to illustrate the results.

math.RA