Conjugate Convolution And Characterizations Of Inner Amenable Locally Compact Groups,
2011
TÜBİTAK
Conjugate Convolution And Characterizations Of Inner Amenable Locally Compact Groups, Bahram Mohammadzadeh
Turkish Journal of Mathematics
For locally compact group G, we give some characterizations of inner amenability of G by conjugate convolution operations. Moreover, we study multiples of positive elements in group algebra L^1(G), whenever G is inner amenable.
An Exploration Of Modeling Techniques For The Study Of The Dynamics Of E-Mail Viruses,
2011
Montclair State University
An Exploration Of Modeling Techniques For The Study Of The Dynamics Of E-Mail Viruses, Karin Weule
Theses, Dissertations and Culminating Projects
We analyze real data sets from two e-mail viruses, the Magistr.b and the Sircam.a to explore how we can use mathematical models to predict the behavior described by the data. Analysis of the data is conducted primarily with computer programming in MatLab. We focus mainly on the use of two continuous models commonly used in the study of biological diseases, the SIS and the SIR models. A discrete modeling approach using agent-based simulations is also explored and revealed to be potentially useful in developing a compartmentalized model that incorporates both SIS and SIR model behavior. The theory behind the continuous …
On Lower Bounds Of The Chung-Diaconis-Graham Random Process,
2011
University at Albany, State University of New York
On Lower Bounds Of The Chung-Diaconis-Graham Random Process, Richard Eugene Neville
Legacy Theses & Dissertations (2009 - 2024)
Chung, Diaconis, and Graham considered random processes of the form X_(n+1)=(a_n)X_n+b_n (mod p) where p is odd, X_0=0, b_n are i.i.d. for n=0,1,2,... with P(b_n=0)=P(b_n=1)=P(b_n=-1)=1/3, and a_n=2 always. Later, Hildebrand was able to establish a lower bound for this process as p approaches infinity. This paper will prove the following conclusions on lower bounds of the Chung-Diaconis-Graham random process:
A Fredholm Alternative-Like Result On Power Bounded Operators,
2011
TÜBİTAK
A Fredholm Alternative-Like Result On Power Bounded Operators, Ali̇ Ülger, Onur Yavuz
Turkish Journal of Mathematics
Let X be a complex Banach space and T:X\rightarrow X be a power bounded operator, i.e., \sup_{n \geq 0}\ T^n\
Analysis Of A Differential Equation Model Of Hiv Infection Of Cd4^+ T-Cells With Saturated Reverse Function,
2011
TÜBİTAK
Analysis Of A Differential Equation Model Of Hiv Infection Of Cd4^+ T-Cells With Saturated Reverse Function, Xiangyun Shi, Gang Li, Xueyong Zhou, Xinyu Song
Turkish Journal of Mathematics
In this paper, an ordinary differential equation model of HIV infection of CD4^+ T-cells with saturated reverse function is studied. We prove that if the basic reproduction number R_0
A Beurling-Type Theorem In Bergman Spaces,
2011
TÜBİTAK
A Beurling-Type Theorem In Bergman Spaces, Ali Abkar
Turkish Journal of Mathematics
It is known that Beurling's theorem concerning invariant subspaces is not true in the Bergman space (in contrast to the Hardy space case). However, Aleman, Richter, and Sundberg proved that every cyclic invariant subspace in the Bergman space \lpad, 0
Central Simple Superalgebras With Superantiautomorphism Of Order Two Of The Second Kind,
2011
TÜBİTAK
Central Simple Superalgebras With Superantiautomorphism Of Order Two Of The Second Kind, Ameer Jaber
Turkish Journal of Mathematics
Our main purpose is to develop the theory of existence of superantiautomorphisms of order two of the second kind (which are caled superinvolutions of the second kind) on finite dimensional central simple superalgebras A=M_n(D), where D is a finite dimensional division superalgebra with nontrivial grading over K, where K is a field of any characteristic. We determine which finite dimensional central simple superalgebras posses a superinvolution of the second kind and put these results in the context of the Albert-Reihm Theorem on the existence of involutions of the second kind.
On The Stability Of Basisness In L_P(1 < P < +\Infty) Of Cosines And Sines,
2011
TÜBİTAK
On The Stability Of Basisness In L_P(1 < P < +\Infty) Of Cosines And Sines, Ali Huseynli
Turkish Journal of Mathematics
We study the basis properties in L_p(0, \pi) (1 < p < \infty) of the solution system of Sturm--Liouville equations with different types of initial conditions. We first establish some results on the stability of the basis property of cosines and sines in L_p(0, \pi) (1 < p < \infty) and then show that the solution system above forms a basis in L_p(0, \pi) if and only if certain cosine system (or sine system, depending on type of initial conditions) forms a basis in L_p(0, \pi).
Existence Of Three Solutions To A Non-Homogeneous Multi-Point Bvp Of Second Order Differential Equations,
2011
TÜBİTAK
Existence Of Three Solutions To A Non-Homogeneous Multi-Point Bvp Of Second Order Differential Equations, Yuji Liu
Turkish Journal of Mathematics
This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of BVP are established. Two examples are presented to illustrate the main results.
Blow-Up Time For A Semilinear Parabolic Equation With Variable Reaction,
2011
TÜBİTAK
Blow-Up Time For A Semilinear Parabolic Equation With Variable Reaction, Theodore Kouassi Boni, Remi Kouadio Kouakou
Turkish Journal of Mathematics
In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that the solution of the above problem blows up in a finite time, and its blow-up time goes to that of the solution of a certain differential equation. Finally, we give some numerical results to illustrate our analysis.
Order Continuous Operators On Cd_0(K,E) And Cd_W(K,E)-Spaces,
2011
TÜBİTAK
Order Continuous Operators On Cd_0(K,E) And Cd_W(K,E)-Spaces, Faruk Polat
Turkish Journal of Mathematics
In [2], Alpay and Ercan characterized order continuous duals of spaces CD_0(K, E) and CD_w(K, E) where K is a compact Hausdorff space without isolated points and E is a Banach lattice. In this note, we generalize their results to an arbitrary Dedekind complete Banach lattice F, that is to say, we characterize order continuous operators on these spaces taking values in an arbitrary Dedekind complete Banach lattice F.
Null Mannheim Curves In The Minkowski 3-Space E_1^3,
2011
TÜBİTAK
Null Mannheim Curves In The Minkowski 3-Space E_1^3, Handan Özteki̇n, Mahmut Ergüt
Turkish Journal of Mathematics
In this study, we give the definition of null Mannheim curve with timelike or spacelike Mannheim partner curve in the Minkowski 3-space E _1^3. We get the necessary and sufficient conditions for the null Mannheim curves. Then we investigate the null and timelike or spacelike generalized helix as the null Mannheim curve and timelike or spacelike Mannheim partner curve, respectively.
Slant Lightlike Submanifolds Of Indefinite Kenmotsu Manifolds,
2011
TÜBİTAK
Slant Lightlike Submanifolds Of Indefinite Kenmotsu Manifolds, Ram Gupta, Sharfuddin Ahamad
Turkish Journal of Mathematics
In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide a non-trivial example and obtain necessary and sufficient conditions for the existence of a slant lightlike submanifold. Also, we give an example of a minimal slant lightlike submanifold of R_2^{9} and prove some characterization theorems.
Relative Nullity Foliations And Lightlike Hypersurfaces In Indefinite Kenmotsu Manifolds,
2011
TÜBİTAK
Relative Nullity Foliations And Lightlike Hypersurfaces In Indefinite Kenmotsu Manifolds, Fortune Massamba
Turkish Journal of Mathematics
This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are obtained. We give characterization theorems for the relative nullity distributions as well as for Einstein, totally contact umbilical and flat lightlike hypersurfaces. We show that, under a certain condition, Einstein lightlike hypersurfaces in indefinite Kenmotsu space forms have parallel screen distributions. We prove that on a parallel (or totally umbilical) lightlike hypersurface, the relative nullity space coincides with the tangent vector space.
Jackknife And Bootstrap With Cycling Blocks For The Estimation Of Fractional Parameter In Arfima Model,
2011
TÜBİTAK
Jackknife And Bootstrap With Cycling Blocks For The Estimation Of Fractional Parameter In Arfima Model, Lorenc Ekonomi, Argjir Butka
Turkish Journal of Mathematics
One of most important problems concerning the ARFIMA time series model is the estimation of fractional parameter d. Various methods have been used to solve this problem, such as the log-periodogram regression of a process. In this article we propose two jackknife and bootstrap methods, which aid in the estimation of fractional parameter d. These methods involve non-overlapping blocks and moving blocks with random starting point and length. We have conducted several simulations and the results show that the estimations obtained are very close to the real parameter value.
Invariant Subspace Problem For Positive L-Weakly And M-Weakly Compact Operators,
2011
TÜBİTAK
Invariant Subspace Problem For Positive L-Weakly And M-Weakly Compact Operators, Cevri̇ye Tonyali, Erdal Bayram
Turkish Journal of Mathematics
In this paper, we show that positive L-weakly and M-weakly compact operators on some real Banach lattices have a non-trivial closed invariant subspace. Also, we prove that any positive L-weakly (or M-weakly) compact operator T:E \rightarrow E\ has a non-trivial closed invariant subspace if there exists a Dunford-Pettis operator S:E \rightarrow E satisfying 0 \leq T \leq S, where E is Banach lattice.
Numerical Solutions For A Model Of Tissue Invasion And Migration Of Tumour Cells,
2011
University of Warmia and Mazury
Numerical Solutions For A Model Of Tissue Invasion And Migration Of Tumour Cells, Mikhail Kolev, Barbara Zubik-Kowal
Mathematics Faculty Publications and Presentations
The goal of this paper is to construct a new algorithm for the numerical simulations of the evolution of tumour invasion and metastasis. By means of mathematical model equations and their numerical solutions we investigate how cancer cells can produce and secrete matrix degradative enzymes, degrade extracellular matrix, and invade due to diffusion and haptotactic migration. For the numerical simulations of the interactions between the tumour cells and the surrounding tissue, we apply numerical approximations, which are spectrally accurate and based on small amounts of grid-points. Our numerical experiments illustrate the metastatic ability of tumour cells.
How Do Neurons Work Together? Lessons From Auditory Cortex,
2011
Rutgers University
How Do Neurons Work Together? Lessons From Auditory Cortex, Kenneth D. Harris, Peter Bartho, Paul Chadderton, Carina Curto, Jaime De La Rocha, Liad Hollender, Vladimir Itskov, Artur Luczak, Stephan Marguet, Alfonso Renart, Shuzo Sakata
Department of Mathematics: Faculty Publications
Recordings of single neurons have yielded great insights into the way acoustic stimuli are represented in auditory cortex. However, any one neuron functions as part of a population whose combined activity underlies cortical information processing. Here we review some results obtained by recording simultaneously from auditory cortical populations and individual morphologically identified neurons, in urethane-anesthetized and unanesthetized passively listening rats. Auditory cortical populations produced structured activity patterns both in response to acoustic stimuli, and spontaneously without sensory input. Population spike time patterns were broadly conserved across multiple sensory stimuli and spontaneous events, exhibiting a generally conserved sequential organization lasting approximately …
Bipartite Density Of Generalized Petersen Graphs,
2011
University of Mississippi
Bipartite Density Of Generalized Petersen Graphs, Lisa Jordan Ewell
Electronic Theses and Dissertations
The bipartite density b(G) of a graph G with m edges is the maximum ratio [special characters omitted] where m0 is the number of edges in a bipartitesubgraph of G. In this study we determine the bipartite density of several classes of Generalized Petersen Graphs. These graphs are denoted by P(n, k), where n ≥ 3 and 1 ≤ k < n with n ≠ 2k. The Generalized Petersen Graph P(n, k) has vertices [special characters omitted] and edges [special characters omitted] where subscript addition is modulo n. We define subgraphs P'(n, k) of P( n, k) by deleting the edge vn –1v0 and the edges w iwi+k for n – k ≤ i ≤ n – 1. For P'(n, k) and many classes of P(n, k), we determine the exact number of edges which must be removed from P( n, k) to reduce it to a bipartite subgraph. In many classes of Generalized Petersen Graphs the exact bipartite density is derived. For example: b(P(n, k)) = 1 for n even, k odd; b(P(n, k)) = 1 – [special characters omitted] for n and k odd and n > k²; b(P( n, k)) is asymptotically 1 – [special characters omitted] for n odd, k even.
Homology With Respect To A Kernel Transformation,
2011
TÜBİTAK
Homology With Respect To A Kernel Transformation, Seyed Naser Hosseini, Mohammad Zaher Kazemi Baneh
Turkish Journal of Mathematics
In this article we first give the relations between commonly used images of a morphism in a category. We then investigate d-homology in a category with certain properties, for a kernel transformation d. In particular, we show that, in an abelian category, d-homology, where d is induced by the subtraction operation, is the standard homology and that in more general categories the d-homology for a trivial d is zero. We also compute through examples the d-homology for certain kernel transformations d in such categories as R-modules, abelian groups and short exact sequences of R-modules. Finally, we characterize kernel transformations in …
