Log Holder Continuity of the Integrated Density of States for Stochastic Jacobi Matrices

Optimality of Log Hölder Continuity of the Integrated Density of States

We construct examples, that log Hölder continuity of the integrated density of states cannot be improved. Our examples are limit-periodic.

Jacobi Operational Matrix Approach for Solving Systems of Linear and Nonlinear Integro-Differential Equations

‎‎‎‎‎‎‎‎‎‎‎‎‎This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product‎. ‎The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations‎ which appear in various fields of science such as physics and engineering. ‎The Operational matr...

Harmonic Analysis on SL(2, R) and Smoothness of the Density of States in the One-Dimensional Anderson Model

We consider infinite Jacobi matrices with ones off-diagonal, and independent identically distributed random variables with distribution F(v)dv on-diagonal. If F has compact support and lies in some Sobolev space L\, then we prove that the integrated density of states, k{E\ is C in E.

Two modified Jacobi methods for M-matrices

Hölder continuity of solution maps to a parametric weak vector equilibrium problem

In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.