44 citations · 103 across the 13 of their papers we have counts for
13 papers
The Cobb-Douglas production function revisited
Roman G. Smirnov, Kunpeng Wang
Charles Cobb and Paul Douglas in 1928 used data from the US manufacturing sector for 1899-1922 to introduce what is known today as the Cobb-Douglas production function that has bee…
The Hamiltonian approach to the problem of derivation of production functions in economic growth theory
Roman G. Smirnov, Kunpeng Wang
We introduce a general Hamiltonian framework that appears to be a natural setting for the derivation of various production functions in economic growth theory, starting with the ce…
In search of a new economic model determined by logistic growth
Roman G. Smirnov, Kunpeng Wang
In this paper we extend the work by Ryuzo Sato devoted to the development of economic growth models within the framework of the Lie group theory. We propose a new growth model base…
The Smorodinsky-Winternitz potential revisited
Roman G. Smirnov, Amelia L. Yzaguirre
We employ joint invariants of Killing two-tensors defined in the Euclidean plane to characterize the Smorodinsky-Winternitz potential and explain the geometric meaning of its arbit…
Equivalence problem for the orthogonal webs on the sphere
Caroline Cochran, Raymond G. McLenaghan, Roman G. Smirnov
We solve the equivalence problem for the orthogonally separable webs on the three-sphere under the action of the isometry group. This continues a classical project initiated by Ole…
Hamilton-Jacobi Theory and Moving Frames
Joshua D. MacArthur, Raymond G. McLenaghan, Roman G. Smirnov
The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.