9 citations · 15 across the 6 of their papers we have counts for
9 papers
The Potential Method For Price-Formation Models
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
We consider the mean-field game price formation model introduced by Gomes and Saúde. In this MFG model, agents trade a commodity whose supply can be deterministic or stochastic. Ag…
A Variational Approach For Price Formation Models In One Dimension
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
In this paper, we study a class of first-order mean-field games (MFGs) that model price formation. Using Poincar{é} Lemma, we eliminate one of the equations and obtain a variationa…
A duality approach to a price formation MFG model
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
We study the connection between the Aubry-Mather theory and a mean-field game (MFG) price-formation model. We introduce a framework for Mather measures that is suited for constrain…
On Ambarzumyan-type Inverse Problems of Vibrating String Equations
Yuri Ashrafyan, Dominik L. Michels
We consider the inverse spectral theory of vibrating string equations. In this regard, first eigenvalue Ambarzumyan-type uniqueness theorems are stated and proved subject to separa…
Inverse Sturm-Liouville problems with summable potential
Yuri Ashrafyan, Tigran Harutyunyan
We describe the necessary and sufficient conditions for two sequences {μ_n}^\infty_n=0 and {a_n}^\infty_n=0 to be correspondingly the set of eigenvalues and the set of norming cons…
A new kind of uniqueness theorems for inverse Sturm-Liouville problems
Yuri Ashrafyan
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyans theorem.