Mustafa Türköz | Bogazici University (original) (raw)

Papers by Mustafa Türköz

Research paper thumbnail of Perturbations of Self-Adjoint Operators

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of Algorithm for an Enumaration of Reduced Words of Sn Balanced Labeling

Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial... more Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial example of Coxeter groups. The symmetric group S n is the group of all permutations of 1, 2, .., n. We know that every permutation can be written as product of adjacent transpositions. A product of this form is called a reduced word. In this paper, we study balanced labeling of the diagram that represents the inversions of a permutation. Moreover, these are natural encodings of reduced words of ω ∈ Σ n

Research paper thumbnail of Perturbations of Self-Adjoint Operators

In this study, we will try to provide the proper background of perturbations of self-adjoints. Th... more In this study, we will try to provide the proper background of perturbations of self-adjoints. This theory reflects in quantum mechanics apart from mathematics. It is one of the most important and widely used grand fact in mathematical physics. In this paper, our aim is to provide a proof that atomic Hamiltonian is essentially self-adjoint. For accomplishing our goal, we will introduce Kato's work. Humbly, usage of Kato's theorems in genius way will lead the result.

Research paper thumbnail of Laplacian on Riemannian Manifolds

In this study, we will try to generalize the Laplacian on Eucledian space to operator on differen... more In this study, we will try to generalize the Laplacian on Eucledian space to operator on differential forms on a Riemannian Manifolds. This operator is known as Laplace-Beltarami operator. We will call Laplacian for simplicity. In this paper, our goal is to understand Hodge Theory as well as giving a proof of Hodge Theorem. The basic idea of Hodge theory is that differentiability gives an information about continuity which encodes informations about the underlying topology.

Research paper thumbnail of Perturbations of Self-Adjoint Operators

In this study, we will try to provide the proper background of perturbations of self-adjoints. T... more In this study, we will try to provide the proper background of perturbations of self-adjoints. This theory reflects in quantum mechanics apart from mathematics. It is one of the most important and widely used grand fact in mathematical physics. In this paper, our aim is to provide a proof that atomic Hamiltonian is essentially self-adjoint. For accomplishing our goal, we will introduce Kato’s work. Humbly, usage of Kato’s theorems in genius way will lead the result.

Research paper thumbnail of Algorithm for an Enumaration of  Reduced Words

Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial... more Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial example of Coxeter groups. The symmetric group Sn is the group of all permutations of 􏰁1, 2, .., n􏰂. We know that every permu- tation can be written as product of adjacent transpositions. A product of this form is called a reduced word. In this paper, we study balanced labeling of the diagram that represents the inversions of a permutation. Moreover, these are natural encodings of reduced words of ω ∈ Σn

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a
procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate
on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of  Laplacian on Riemannian Manifolds

In this study, we will try to generalize the Laplacian on Eucledian space to operator on differen... more In this study, we will try to generalize the Laplacian on Eucledian space to operator on differential forms on a Riemannian Manifolds. This operator is known as Laplace- Beltarami operator. We will call Laplacian for simplicity. In this paper, our goal is to understand Hodge Theory as well as giving a proof of Hodge Theorem. The basic idea of Hodge theory is that differentiability gives an information about continuity which encodes informations about the underlying topology.

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of Perturbations of Self-Adjoint Operators

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of Algorithm for an Enumaration of Reduced Words of Sn Balanced Labeling

Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial... more Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial example of Coxeter groups. The symmetric group S n is the group of all permutations of 1, 2, .., n. We know that every permutation can be written as product of adjacent transpositions. A product of this form is called a reduced word. In this paper, we study balanced labeling of the diagram that represents the inversions of a permutation. Moreover, these are natural encodings of reduced words of ω ∈ Σ n

Research paper thumbnail of Perturbations of Self-Adjoint Operators

In this study, we will try to provide the proper background of perturbations of self-adjoints. Th... more In this study, we will try to provide the proper background of perturbations of self-adjoints. This theory reflects in quantum mechanics apart from mathematics. It is one of the most important and widely used grand fact in mathematical physics. In this paper, our aim is to provide a proof that atomic Hamiltonian is essentially self-adjoint. For accomplishing our goal, we will introduce Kato's work. Humbly, usage of Kato's theorems in genius way will lead the result.

Research paper thumbnail of Laplacian on Riemannian Manifolds

In this study, we will try to generalize the Laplacian on Eucledian space to operator on differen... more In this study, we will try to generalize the Laplacian on Eucledian space to operator on differential forms on a Riemannian Manifolds. This operator is known as Laplace-Beltarami operator. We will call Laplacian for simplicity. In this paper, our goal is to understand Hodge Theory as well as giving a proof of Hodge Theorem. The basic idea of Hodge theory is that differentiability gives an information about continuity which encodes informations about the underlying topology.

Research paper thumbnail of Perturbations of Self-Adjoint Operators

In this study, we will try to provide the proper background of perturbations of self-adjoints. T... more In this study, we will try to provide the proper background of perturbations of self-adjoints. This theory reflects in quantum mechanics apart from mathematics. It is one of the most important and widely used grand fact in mathematical physics. In this paper, our aim is to provide a proof that atomic Hamiltonian is essentially self-adjoint. For accomplishing our goal, we will introduce Kato’s work. Humbly, usage of Kato’s theorems in genius way will lead the result.

Research paper thumbnail of Algorithm for an Enumaration of  Reduced Words

Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial... more Coxeter groups were introduced in 1934 by H.S.M. Coxeter. Symmetric groups are one of the crucial example of Coxeter groups. The symmetric group Sn is the group of all permutations of 􏰁1, 2, .., n􏰂. We know that every permu- tation can be written as product of adjacent transpositions. A product of this form is called a reduced word. In this paper, we study balanced labeling of the diagram that represents the inversions of a permutation. Moreover, these are natural encodings of reduced words of ω ∈ Σn

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a
procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate
on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production

Research paper thumbnail of  Laplacian on Riemannian Manifolds

In this study, we will try to generalize the Laplacian on Eucledian space to operator on differen... more In this study, we will try to generalize the Laplacian on Eucledian space to operator on differential forms on a Riemannian Manifolds. This operator is known as Laplace- Beltarami operator. We will call Laplacian for simplicity. In this paper, our goal is to understand Hodge Theory as well as giving a proof of Hodge Theorem. The basic idea of Hodge theory is that differentiability gives an information about continuity which encodes informations about the underlying topology.

Research paper thumbnail of Business Cycles and Optimal Environmental Policy Choice: Case of Turkey

In the first part, paper will try to find a suitable policy mechanism under a DSGE model environm... more In the first part, paper will try to find a suitable policy mechanism under a DSGE model environment with a pollution externality. By contemplating the Turkish GDP Data and carbon dioxide emissions we are expecting emission will follow a procyclical path. An optimal policy is supposed to clear out this procyclicality, when we compare it with the non-policy case. In the second chapter, we will discuss the intensity targets and caps in terms of its effect on GDP growth. We will concentrate on the productivity shocks with the concern of volatility issue. After this analysis we will have intensity targets will show better results than caps and tax in terms of output and factors of production