Berkay Anahtarci

activity

20122026

most citedLearning in Discounted-cost and Average-cost Mean-field Games

8 citations · 14 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.SP2026

High-Index Asymptotics of Mathieu Spectral Gaps and Splittings

Berkay Anahtarci

Consider the Mathieu operator $L = - d^{2} / d x^{2} + 2 a cos (2 x)$ for fixed $a \in C ∖ {0}$ . For large enough $n$ , the periodic ( $n$ even) or anti-periodic ( $n$ odd) problem on…

math.SP2013

Asymptotics of spectral gaps of 1D Dirac operator with two exponential terms potential

Berkay Anahtarci, Plamen Djakov

The one-dimensional Dirac operator \begin{equation*} L = i \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \frac{d}{dx} +\begin{pmatrix} 0 & P(x) \\ Q(x) & 0 \end{pmatrix}, \quad P,Q…

math.SP2012★ 2 cited

Improved asymptotics of the spectral gap for the Mathieu operator

Berkay Anahtarci, Plamen Djakov

The Mathieu operator {equation*} L(y)=-y"+2a \cos{(2x)}y, \quad a\in \mathbb{C},\;a\neq 0, {equation*} considered with periodic or anti-periodic boundary conditions has, close to $…