We show that introducing time-varying skewness in the distribution of expected growth prospects in an otherwise standard endowment economy can up to double the model implied equity Sharpe ratios, andâ€¦ (More)

We create a class of non-semisimple matrix loop algebras, and use the associated zero curvature equations to construct tri-integrable couplings. An application is made for the AKNS equations as anâ€¦ (More)

A non-semisimple matrix loop algebra is presented, and a class of zero curvature equations over this loop algebra is used to generate bi-integrable couplings. An illustrative example is made for theâ€¦ (More)

In recent years, the popularity of graph databases has grown rapidly. This paper focuses on single-graph as an effective model to represent information and its related graph mining techniques. Inâ€¦ (More)

Bi-integrable couplings of soliton equations are presented through introducing non-semisimple matrix Lie algebras on which there exist non-degenerate, symmetric and ad-invariant bilinear forms. Theâ€¦ (More)

We discuss Hamiltonian formulations for integrable couplings, particularly biand tri-integrable couplings, based on zero curvature equations. The basic tools are the variational identities overâ€¦ (More)

Recent years have witnessed intensive studies on mining graph databases for interesting patterns. One important problem in this paradigm is the Frequent Subgraph Mining (FSM), which involves findingâ€¦ (More)

We explore the possibility of creating non-semisimple matrix loop algebras which lead to tri-integrable couplings containing two known integrable couplings. A semi-direct sum of Lie algebrasâ€¦ (More)