A JOURNEY AROUND MORSE HOMOLOGIES
(Modern Approach)
by
Fatih C elik
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Ful llment of the Requirements for
the Degree of Master of Science
in
Mathematics
Ko c...
We give the definition and explore the algebraic structure of a class of quantum symmetries, called topological symmetries, which are generalizations of supersymmetry in the sense that they involve topological invariants similar to the Witten...
Motivated by possible applications of spectral singularities in optics, we develop a semiclassical method of computing spectral singularities. We use this method to examine the spectral singularities of a planar slab gain medium whose gain...
Molecular communication (MC) is a bio-inspired communication method based on the exchange of molecules for information transfer among nanoscale devices. MC has been extensively studied from various aspects in the literature; however, the physical...
In an era of intense migrant labor flow followed by economic crisis in Greece and in several other European countries, Sotiris Dimitriou's short stories reflect on the affective influence of these changes on the fragile body of the individual as...
We examine the properties and consequences of pseudo-supersymmetry for quantum systems admitting a pseudo-Hermitian Hamiltonian. We explore the Witten index of pseudo-supersymmetry and show that every pair of diagonalizable (not necessarily...
Let k be a field of characteristic zero, and let k[epsilon](n) :=k[epsilon]/(epsilon(n)). We construct an additive dilogarithm Li(2,n) : B(2) (k[epsilon](n))-> k(circle plus(n-1)), where B(2) is the Bloch group which is crucial in studying weight...
Engineering; Science and Technology; Telecommunications
Nanonetworks is an emerging field of study where nanomachines communicate to work beyond their individual limited processing capabilities and perform complicated tasks. The human body is an example of a very large nanoscale communication network,...
We construct a realization of the algebra of the Z(3)-graded topological symmetry of type (1, 1, 1) in terms of a pair of operators D-1 : H-1 --> H-2, D-2 : H-2 --> H-3 satisfying [D1D1dagger, (D2D2)-D-dagger] = 0. We show that the sequence of the...
We theoretically analyze Fermi-Bose mixtures consisting of light fermions and heavy bosons that are loaded into optical lattices (ignoring the trapping potential). To describe such mixtures, we consider the Fermi-Bose version of the Falicov-Kimball...
A peculiar property of complex scattering potentials is the appearance of spectral singularities. These are energy eigenvalues for certain scattering states that similarly to resonance states have infinite reflection and transmission coefficients....
Damage to the mitochondrial genome (mtDNA) can lead to diseases for which there are no clearly effective treatments. Since mitochondrial function and biogenesis are controlled by the nutrient environment of the cell, it is possible that...
Genetic and microscopic approaches using Saccharomyces cerevisiae have identified many proteins that play a role in mitochondrial dynamics, but it is possible that other proteins and pathways that play a role in mitochondrial division and fusion...
On The Modularity of Galois
Representations
by
UË˜gur DoË˜gan
A Thesis Submitted to the
Graduate School of Science and Engineering
in Partial Fulfillment of the Requirements for
the Degree of
Master of Science
in
Mathematics
KocÂ¸ University
July...
School choice; Affirmative action programs; Affirmative action programs in education; Discrimination in education
Tie-Breaking for A rmative Action
by
OÂ§uzhan Ã‡elebi
A thesis submitted to the Graduate School of Social Sciences and
Humanities in partial ful lment of the requirements for the degree
of
Master of Arts
in
Economics
July 2017
Department of...
For a given pseudo-Hermitian Hamiltonian of the standard form: H=p(2)/2m+v(x), we reduce the problem of finding the most general (pseudo-)metric operator eta satisfying H(dagger)=eta H eta(-1) to the solution of a differential equation. If the...
We study quantum dynamics of a Bose-Einstein condensate of spin-1 atoms inside a double-well potential. Under the single spatial mode approximation for condensate wave functions localized within each of the two wells, we examine quantum...
Recognition of Haptic Interaction Patterns in Dyadic Joint
Object Manipulation
by
CÂ¸ Ä±Ë˜gÄ±l Ece Madan
A Thesis Submitted to the
Graduate School of Sciences and Engineering
in Partial Fulfillment of the Requirements for
the Degree of
Master of...
[BMIM][BF4] Incorporation into ZIF-8: Gas Storage and Separation Performance
by
Burak KoyutÃ¼rk
A Thesis Submitted to the
Graduate School of Engineering
in Partial Fulfillment of the Requirements
for the Degree of
Master of Science
In
Chemical and...
We investigate optical bistability in a multilayer one-dimensional photonic crystal where the central layer is doped with Lambda-type three-level atoms. We take into account the influence of spontaneously generated coherence when the lower atomic...