9 citations · 19 across the 16 of their papers we have counts for
16 papers
Bregman-projected mirror methods for regularized stationary mean-field games
Hussain Al Abdulaziz, Yuri Ashrafyan, Yeva Gevorgyan +1
We develop and analyze a Bregman-projected mirror iteration for low-order regularizations of stationary mean-field game (MFG) systems in their natural Banach space setting. For sep…
Spectral Theory of Dirac Operators
Tigran Harutyunyan, Yuri Ashrafyan
The main issues of the spectral theory of Dirac operators are presented, namely: transformation operators, asymptotics of eigenvalues and eigenfunctions, description of symmetric a…
A Fully-discrete Semi-Lagrangian scheme for a price formation MFG model
Yuri Ashrafyan, Diogo Gomes
Here, we examine a fully-discrete Semi-Lagrangian scheme for a mean-field game price formation model. We show the existence of the solution of the discretized problem and that it i…
A First-Order Mean-Field Game on a Bounded Domain with Mixed Boundary Conditions
AbdulRahman M. Alharbi, Yuri Ashrafyan, Diogo Gomes
Entry-exit dynamics are crucial in modeling crowd movement. Here, we present a novel first-order, stationary mean-field game model on a bounded domain that accurately captures thes…
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.
On a property of norming constants of Sturm-Liouville problem
Yuri Ashrafyan, Tigran Harutunyan
A connection, which shows the dependence of norming constants on boundary conditions, was found using the Gelfand-Levitan method for the solution of inverse Sturm-Liouville problem…
Gradient of eigenvalues of Dirac operators and its applications
Tigran Harutyunyan, Yuri Ashrafyan
For Dirac operators, which have discrete spectra, the concept of eigenvalues gradient is given and formulae for this gradients are obtained in terms of normalized eigenfunctions. I…
Isospectral Dirac operators
Yuri Ashrafyan, Tigran Harutyunyan
We give the description of self-adjoint regular Dirac operators, on , with the same spectra.
Dirac operator with linear potential and its perturbations
Yuri A. Ashrafyan, Tigran N. Harutyunyan
We prove that canonical Dirac expression with linear potential generates operators on axis and half axis, for which we can find the eigenvalues and eigenfunctions in explicit form.…
Inverse Sturm-Liouville problems with fixed boundary conditions
Tigran Harutyunyan, Yuri Ashrafyan
Necessary and sufficient conditions for two sequences and to be the spectral data for a certain Sturm-Liouville problem are well know…
On the "movement" of the zeros of eigenfunctions of the Sturm-Liouville problem
Tigran Harutyunyan, Avetik Pahlevanyan, Yuri Ashrafyan
We study the dependence of the zeros of eigenfunctions of Sturm-Liouville problem on the parameters that define the boundary conditions. As a corollary, we obtain Sturm oscillation…