Packing Tight Hamilton Cycles In Uniform Hypergraphs,
2012
Montclair State University
Packing Tight Hamilton Cycles In Uniform Hypergraphs, Deepak Bal, Alan Frieze
Department of Mathematics Faculty Scholarship and Creative Works
We say that a k-uniform hypergraph C is a Hamilton cycle of type l, for some 1 ≤ l ≤ k, if there exists a cyclic ordering of the vertices of C such that every edge consists of k consecutive vertices, and for every pair of consecutive edges E i-1\E i in C (in the natural ordering of the edges) we have |E i-1 \ E i| = l. We define a class of (ε, p)-regular hypergraphs, that includes random hypergraphs, for which we can prove the existence of a decomposition of almost all edges into type l Hamilton cycles, …
Sustainable Technology For Person-Centered Accessible Integrated Multimodal Information Systems,
2012
Bridgewater State University
Sustainable Technology For Person-Centered Accessible Integrated Multimodal Information Systems, Lawrence J. Harman, Uma Shama, Heather Standring, Sabitha Gopalsamy, Anil Sadhu, Mateusz Pacha-Sucharzewski
Mathematics Faculty Publications
This paper reports on a mobility management technology project conducted by the GeoGraphics Laboratory at Bridgewater State University in Bridgewater, Massachusetts, in the Northeastern United States (U.S.). This study is a part of a much larger mobility management technology deployment by the Cape Cod Regional Transit Authority (CCRTA) that deployed integrated intermodal intelligent transportation system (ITS) to support the mobility of a metropolitan region that has a high proportion of elderly residents and persons with disabilities and is a significant tourist destination for national and international travelers. This paper reports on a research project that is developing smartphone applications to …
An Impulsive Delay Differential Inequality And Applications,
2012
Missouri University of Science and Technology
An Impulsive Delay Differential Inequality And Applications, Xiaodi Li, Martin Bohner
Mathematics and Statistics Faculty Research & Creative Works
An impulsive delay differential inequality is formulated in this paper. an estimate of the rate of decay of solutions to this inequality is obtained. It can be applied to the study of dynamical behavior of delay differential equations from the impulsive control point of view. as an application, we consider a class of impulsive control systems with time-varying delays and establish a sufficient condition to guarantee the global exponential stability. It is shown that, via proper impulsive control law, a linear delay differential system can be exponentially stabilized even if it is initially unstable. a numerical example is given to …
If Energy Is Not Preserved, Then Planck's Constant Is No Longer A Constant: A Theorem,
2012
The University of Texas at El Paso
If Energy Is Not Preserved, Then Planck's Constant Is No Longer A Constant: A Theorem, Vladik Kreinovich, Andres Ortiz
Departmental Technical Reports (CS)
For any physical theory, to experimentally check its validity, we need to formulate an alternative theory and check whether the experimental results are consistent with the original theory or with an alternative theory. In particular, to check whether energy is preserved, it is necessary to formulate an alternative theory in which energy is not preserved. Formulating such a theory is not an easy task in quantum physics, where the usual Schroedinger equation implicitly assumes the existence of an energy (Hamiltonian) operator whose value is preserved. In this paper, we show that the only way to get a consistent quantum theory …
Towards Unique Physically Meaningful Definitions Of Random And Typical Objects,
2012
The University of Texas at El Paso
Towards Unique Physically Meaningful Definitions Of Random And Typical Objects, Luc Longpre, Olga Kosheleva
Departmental Technical Reports (CS)
To distinguish between random and non-random sequence, Kolmogorov and Martin-Lof proposed a new definition of randomness, according to which an object (e.g., a sequence of 0s and 1s) if random if it satisfies all probability laws, i.e., in more precise terms, if it does not belong to any definable set of probability measure 0. This definition reflect the usual physicists' idea that events with probability 0 cannot happen. Physicists -- especially in statistical physics -- often claim a stronger statement: that events with a very small probability cannot happen either. A modification of Kolmogorov-Martin-Lof's (KLM) definition has been proposed to …
270: How To Win The Presidency With Just 17.56% Of The Popular Vote,
2012
Gettysburg College
270: How To Win The Presidency With Just 17.56% Of The Popular Vote, Charles D. Wessell
Math Faculty Publications
With the U.S. presidential election fast approaching we will often be reminded that the candidate who receives the most votes is not necessarily elected president. Instead, the winning candidate must receive a majority of the 538 electoral votes awarded by the 50 states and the District of Columbia. Someone with a curious mathematical mind might then wonder: What is the small fraction of the popular vote a candidate can receive and still be elected president? [excerpt]
Why Clayton And Gumbel Copulas: A Symmetry-Based Explanation,
2012
The University of Texas at El Paso
Why Clayton And Gumbel Copulas: A Symmetry-Based Explanation, Vladik Kreinovich, Hung T. Nguyen, Songsak Sriboonchitta
Departmental Technical Reports (CS)
In econometrics, many distributions are non-Gaussian. To describe dependence between non-Gaussian variables, it is usually not sufficient to provide their correlation: it is desirable to also know the corresponding copula. There are many different families of copulas; which family shall we use? In many econometric applications, two families of copulas have been most efficient: the Clayton and the Gumbel copulas. In this paper, we provide a theoretical explanation for this empirical efficiency, by showing that these copulas naturally follow from reasonable symmetry assumptions. This symmetry justification also allows us to provide recommendations about which families of copulas we should use …
Reverse Mathematics And Properties Of Finite Character,
2012
Marshall University
Reverse Mathematics And Properties Of Finite Character, Damir D. Dzhafarov, Carl Mummert
Mathematics Faculty Research
We study the reverse mathematics of the principle stating that,for every property of finite character, every set has a maximal subset satisfying the property. In the context of set theory, this variant of Tukey’s lemma is equivalent to the axiom of choice. We study its behavior in the context of second-order arithmetic, where it applies to sets of natural numbers only, and give a full characterization of its strength in terms of the quantifier structure of the formula defining the property. We then study the interaction between properties of finite character and finitary closure operators, and the interaction between these …
Sample Path Properties Of Volterra Processes,
2012
Louisiana State University
Sample Path Properties Of Volterra Processes, Leonid Mytnik, Eyal Neuman
Communications on Stochastic Analysis
No abstract provided.
Feynman-Kac Formula For The Solution Of Cauchy's Problem With Time Dependent Lévy Generator,
2012
Louisiana State University
Feynman-Kac Formula For The Solution Of Cauchy's Problem With Time Dependent Lévy Generator, Aroldo Pérez
Communications on Stochastic Analysis
No abstract provided.
Stochastic Calculus For Gaussian Processes And Application To Hitting Times,
2012
Louisiana State University
Stochastic Calculus For Gaussian Processes And Application To Hitting Times, Pedro Lei, David Nualart
Communications on Stochastic Analysis
No abstract provided.
Krylov-Veretennikov Expansion For Coalescing Stochastic Flows,
2012
Louisiana State University
Krylov-Veretennikov Expansion For Coalescing Stochastic Flows, Andrey A Dorogovtsev
Communications on Stochastic Analysis
No abstract provided.
Qwn-Conservation Operator And Associated Wick Differential Equation,
2012
Louisiana State University
Qwn-Conservation Operator And Associated Wick Differential Equation, Habib Ouerdiane, Hafedh Rguigui
Communications on Stochastic Analysis
No abstract provided.
Sde Solutions In The Space Of Smooth Random Variables,
2012
Louisiana State University
Sde Solutions In The Space Of Smooth Random Variables, Yeliz Yolcu Okur, Frank Proske, Hassilah Binti Salleh
Communications on Stochastic Analysis
No abstract provided.
Solutions Of Linear Elliptic Equations In Gauss-Sobolev Spaces,
2012
Louisiana State University
Solutions Of Linear Elliptic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow
Communications on Stochastic Analysis
No abstract provided.
Temporal Correlation Of Defaults In Subprime Securitization,
2012
Louisiana State University
Temporal Correlation Of Defaults In Subprime Securitization, Eric Hillebrand, Ambar N Sengupta, Junyue Xu
Communications on Stochastic Analysis
No abstract provided.
An Estimate For Bounded Solutions Of The Hermite Heat Equation,
2012
Louisiana State University
An Estimate For Bounded Solutions Of The Hermite Heat Equation, Bishnu Prasad Dhungana
Communications on Stochastic Analysis
No abstract provided.
Group-Theoretical Derivation Of Angular Momentum Eigenvalues In Spaces Of Arbitrary Dimensions,
2012
University of Rochester
Group-Theoretical Derivation Of Angular Momentum Eigenvalues In Spaces Of Arbitrary Dimensions, Tamar Friedmann, C. R. Hagen
Mathematics Sciences: Faculty Publications
The spectrum of the square of the angular momentum in arbitrary dimensions is derived using only group theoretical techniques. This is accomplished by application of the Lie algebra of the noncompact group O(2, 1). Illuminating discussions with Jonathan Pakianathan and his comments on a draft are gratefully acknowledged. This work was supported in part by (U.S.) Department of Energy (DOE), Grant No. DE-FG02-91ER40685.
Cystatin C Identifies Patients With Stable Chronic Heart Failure At Increased Risk For Adverse Cardiovascular Events,
2012
Heart and Vascular Institute
Cystatin C Identifies Patients With Stable Chronic Heart Failure At Increased Risk For Adverse Cardiovascular Events, Matthias Dupont, Yuping Wu, Stanley L. Hazen, W.H. Wilson Tang
Mathematics and Statistics Faculty Publications
Background—Renal function is a strong predictor of adverse events in heart failure. Current renal function measures are imperfect, and cystatin C (CysC) is promoted as a better marker of glomerular filtration rate. This study compares the prognostic use of CysC and derived glomerular filtration rate estimates with other measures of renal function in patients with chronic heart failure. Methods and Results—We measured serum CysC levels in 823 patients with heart failure undergoing coronary angiography with follow-up of major adverse cardiovascular events (death, myocardial infarction, stroke). CysC levels strongly correlated with creatinine (r=0.73), blood urea nitrogen (r=0.70), and estimated glomerular filtration …
Dynamics Of A Three Species Competition Model,
2012
Ohio State University
Dynamics Of A Three Species Competition Model, Yuan Lou, Daniel Munther
Mathematics and Statistics Faculty Publications
We investigate the dynamics of a three species competition model, in which all species have the same population dynamics but distinct dispersal strategies. Gejji et al. [15] introduced a general dispersal strategy for two species, termed as an ideal free pair in this paper, which can result in the ideal free distributions of two competing species at equilibrium. We show that if one of the three species adopts a dispersal strategy which produces the ideal free distribution, then none of the other two species can persist if they do not form an ideal free pair. We also show that if …
