On The Analysis Of Some Recursive Equations In Probability.,
2015
Indian Statistical Institute
On The Analysis Of Some Recursive Equations In Probability., Arunangshu Biswas Dr.
Doctoral Theses
This thesis deals with recursive systems used in theoretical and applied probability. Recursive systems are stochastic processes {Xn}n≥1 where the Xn depends on the earlier Xn−1 and also on some increment process which is uncorrelated with the process Xn. The simplest example of a recursive system is the Random Walk, whose properties have been extensively studied. Mathematically a recursive system takes the form Xn = f(Xn−1, n), is the increment/ innovation procedure and f(·, ·) is a function on the product space of xn and n. We first consider a recursive system called Self-Normalized sums (SNS) corresponding to a sequence …
Convergence Rates And Hölder Estimates In Almost-Periodic Homogenization Of Elliptic Systems,
2015
University of Kentucky
Convergence Rates And Hölder Estimates In Almost-Periodic Homogenization Of Elliptic Systems, Zhongwei Shen
Mathematics Faculty Publications
For a family of second-order elliptic systems in divergence form with rapidly oscillating, almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients. The results are used to investigate the problem of convergence rates. We also establish uniform Hölder estimates for the Dirichlet problem in a bounded C1,α domain.
Radial Versus Othogonal And Minimal Projections Onto Hyperplanes In L_4^3,
2015
University of South Florida
Radial Versus Othogonal And Minimal Projections Onto Hyperplanes In L_4^3, Richard Alan Warner
USF Tampa Graduate Theses and Dissertations
In this thesis, we study the relationship between radial projections, and orthogonal and minimal projections in l_4^3. Specifically, we calculate the norm of the maximum radial projection and we prove that the hyperplane constant, with respect to the radial projection, is not achieved by a minimal projection in this space. We will also show our numerical results, obtained using computer software, and use them to approximate the norms of the radial, orthogonal, and minimal projections in l_4^3. Specifically, we show, numerically, that the maximum minimal projection is attained for ker{1,1,1} as well as compute the norms for the maximum radial …
Computing Invariant Dynamics For Differential Equations: Spectral Methods, Errors, And Computer Assisted Proof,
2015
Florida Atlantic University
Computing Invariant Dynamics For Differential Equations: Spectral Methods, Errors, And Computer Assisted Proof, J. D. Mireles James
Mathematics Colloquium Series
The qualitative theory of dynamical systems is concerned with studying the long time behavior discrete and continuous time models such as nonlinear differential equations. The long time behavior of such models is organized by landmarks called invariant sets. For complicated nonlinear equations these invariant sets are difficult to study via pen and paper analysis, and we typically employ numerical simulations to gain insights into the dynamics. If we now think of these computer assisted insights as mathematical conjectures, then it is natural to ask how we might obtain proofs. Since the conjectures themselves originate with the computer it is not …
Art, Math, And Physics; All About For,
2015
Fresno Pacific University
Art, Math, And Physics; All About For, Chris Brownell, Steve Pauls
The Transdisciplinary STEAM+ Journal
Anish Kapoor’s public sculpture “Cloud Gate” and Frame of Reference.
Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications,
2015
Ivy Tech Community College
Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications, Mick D. Isaacson, Michelle Michaels
Journal of Science Education for Students with Disabilities
Ambiguity in speech is a possible barrier to the acquisition of knowledge for students who have print disabilities (such as blindness, visual impairments, and some specific learning disabilities) and rely on auditory input for learning. Chemistry appears to have considerable potential for being spoken ambiguously and may be a barrier to accessing knowledge and to learning. Educators in chemistry may be unaware of, or have limited awareness of, potential ambiguity in speaking chemistry and may speak chemistry ambiguously to their students. One purpose of this paper is to increase awareness of potential ambiguity in speaking chemistry and other STEM fields …
Conditional Dimension In Metric Spaces: A Natural Metric-Space Counterpart Of Kolmogorov-Complexity-Based Mutual Dimension,
2015
The University of Texas at El Paso
Conditional Dimension In Metric Spaces: A Natural Metric-Space Counterpart Of Kolmogorov-Complexity-Based Mutual Dimension, Vladik Kreinovich, Luc Longpre, Olga Kosheleva
Departmental Technical Reports (CS)
It is known that dimension of a set in a metric space can be characterized in information-related terms -- in particular, in terms of Kolmogorov complexity of different points from this set. The notion of Kolmogorov complexity K(x) -- the shortest length of a program that generates a sequence x -- can be naturally generalized to conditionalKolmogorov complexity K(x:y) -- the shortest length of a program that generates x by using y as an input. It is therefore reasonable to use conditional Kolmogorov complexity to formulate a conditional analogue of dimension. Such a generalization has indeed been proposed, under …
Constructive Mathematics Is Seemingly Simple But There Are Still Open Problems: Kreisel's Observation Explained,
2015
The University of Texas at El Paso
Constructive Mathematics Is Seemingly Simple But There Are Still Open Problems: Kreisel's Observation Explained, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
In his correspondence with Grigory Mints, the famous logician Georg Kreisel noticed that many results of constructive mathematics seem easier-to-prove than the corresponding classical (non-constructive) results -- although he noted that these results are still far from being simple and the corresponding open problems are challenging. In this paper, we provide a possible explanation for this empirical observation.
Occam's Razor Explains Matthew Effect,
2015
The University of Texas at El Paso
Occam's Razor Explains Matthew Effect, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Sociologists of science noticed that the results of many collaborative projects and discoveries are often attributed only to their most famous collaborators, even when the contributions of these famous collaborators were minimal. This phenomenon is known as the Matthew effect, after a famous citation from the Gospel of Matthew. In this article, we show that Occam's razor provides a possible explanation for the Matthew effect.
Combining Interval And Probabilistic Uncertainty: What Is Computable?,
2015
The University of Texas at El Paso
Combining Interval And Probabilistic Uncertainty: What Is Computable?, Vladik Kreinovich, Andrzej Pownuk, Olga Kosheleva
Departmental Technical Reports (CS)
In many practical problems, we need to process measurement results. For example, we need such data processing to predict future values of physical quantities. In these computations, it is important to take into account that measurement results are never absolutely exact, that there is always measurement uncertainty, because of which the measurement results are, in general, somewhat different from the actual (unknown) values of the corresponding quantities. In some cases, all we know about measurement uncertainty is an upper bound; in this case, we have an interval uncertainty, meaning that all we know about the actual value is that is …
Candy Crush Combinatorics,
2015
Merrimack College
Candy Crush Combinatorics, Dana Rowland
Mathematics Faculty Publications
In the popular game Candy Crush, differently colored candies are arranged in a grid and a player swaps adjacent candies in order to crush them by lining up three or more of the same color. At the beginning of each game, the grid cannot have three consecutive candies of the same color in a row or column, but it must be possible to swap two adjacent candies in order to get at least three consecutive candies of the same color. How many starting configurations are there? We derive recurrence relations to answer this question for a single line of candy, …
Problems In The Theory Of Extremal Graphs And Hypergraphs,
2015
University of Montana - Missoula
Problems In The Theory Of Extremal Graphs And Hypergraphs, Cory T. Palmer
University Grant Program Reports
Objective: Investigate the tree packing conjecture from graph theory and extremal numbers for hypergraphs.
Paradox Of Choice: A Possible Explanation,
2015
The University of Texas at El Paso
Paradox Of Choice: A Possible Explanation, Vladik Kreinovich, Olga Kosheleva
Departmental Technical Reports (CS)
At first glance, we would expect that the more choices we have, the happier we will be. Experiments show, however, then when the number of choices increases, customers become less happy. In this paper, we provide a possible explanation for this paradox.
Properties Of Catlin’S Reduced Graphs And Supereulerian Graphs,
2015
Butler University
Properties Of Catlin’S Reduced Graphs And Supereulerian Graphs, Wei-Guo Chen, Zhi-Hong Chen, Mei Lu
Scholarship and Professional Work - LAS
A graph G is called collapsible if for every even subset R ⊆ V (G), there is a spanning connected subgraph H of G such that R is the set of vertices of odd degree in H. A graph is the reduction of G if it is obtained from G by contracting all the nontrivial collapsible subgraphs. A graph is reduced if it has no nontrivial collapsible subgraphs. In this paper, we first prove a few results on the properties of reduced graphs. As an application, for 3-edge-connected graphs G of order n with d(u) + d(v) ≥ 2(n/p − …
Host Switching Vs. Host Sharing In Overlapping Sylvatic Trypanosoma Cruzi Transmission Cycles,
2015
University of Texas at Arlington
Host Switching Vs. Host Sharing In Overlapping Sylvatic Trypanosoma Cruzi Transmission Cycles, Christopher Kribs, Christopher Mitchell
Mathematics Faculty Publications - Archive
The principle of competitive exclusion is well established for multiple populations competing for the same resource, and simple models for multistrain infection exhibit it as well when cross-immunity precludes coinfections. However, multiple hosts provide niches for different pathogens to occupy simultaneously. This is the case for the vector-borne parasite Trypanosoma cruzi in overlapping sylvatic transmission cycles in the Americas, where it is enzootic. This study uses cycles in the USA involving two different hosts but the same vector species as a context for the study of the mechanisms behind the communication between the two cycles. Vectors dispersing in search of …
Towards An Automated Screening Tool For Pediatric Speech Delay,
2015
Harrisburg University of Science and Technology
Towards An Automated Screening Tool For Pediatric Speech Delay, Roozbeh Sadeghian, Stephen A. Zahorian
Faculty Works
Speech delay is a childhood language problem that sometimes is resolved on its own but sometimes may cause more serious language difficulties later. This leads therapists to screen children for detection at early ages in order to eliminate future problems. Using the Goldman-Fristoe Test of Articulation (GFTA) method, therapists listen to a child's pronunciation of certain phonemes and phoneme pairs in specified words and judge the child's stage of speech development. The goal of this paper is to develop an Automatic Speech Recognition (ASR) tool and related speech processing methods which emulate the knowledge of speech therapists. In this paper …
Some Quantum Dynamical Semi-Groups With Quantum Stochastic Dilation,
2015
Louisiana State University
Some Quantum Dynamical Semi-Groups With Quantum Stochastic Dilation, Lingaraj Sahu, Preetinder Singh
Communications on Stochastic Analysis
No abstract provided.
Stochastic Dynamics Of Determinantal Processes By Integration By Parts,
2015
Louisiana State University
Stochastic Dynamics Of Determinantal Processes By Integration By Parts, Laurent Decreusefond, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi
Communications on Stochastic Analysis
No abstract provided.
On The Regularity Of One Parameter Transformation Groups In Barreled Locally Convex Topological Vector Spaces,
2015
Louisiana State University
On The Regularity Of One Parameter Transformation Groups In Barreled Locally Convex Topological Vector Spaces, Maximilian Bock
Communications on Stochastic Analysis
No abstract provided.
Per-Contact Infectivity Of Hcv Associated With Injection Exposures In A Prospective Cohort Of Young Injection Drug Users In San Francisco, Ca (Ufo Study),
2015
University of New Mexico
Per-Contact Infectivity Of Hcv Associated With Injection Exposures In A Prospective Cohort Of Young Injection Drug Users In San Francisco, Ca (Ufo Study), Yuridia Leyva
Mathematics & Statistics ETDs
Sharing needles and ancillary injection drug equipment places injection drug users (IDU) at risk for Hepatitis C Virus (HCV), a highly infectious blood-borne virus. A limited number of studies have analyzed the per-contact infectivity of HCV associated with the use of previously-used needles, but per-contact infectivity of ancillary injecting equipment has not been previously investigated. Our goal is to estimate the per-contact infectivity of HCV associated with (1) injecting with another person's previously-used needle, classified as receptive needle sharing (RNS), and (2) using another person's previously-used ancillary injecting equipment, such as cookers to melt drugs and cottons to strain impurities …
