The Boltzmann-Enskog Equation With Brownian Forcing,
2025
Louisiana State University and Agricultural and Mechanical College
The Boltzmann-Enskog Equation With Brownian Forcing, Aurora Wallace
LSU Doctoral Dissertations
Interacting particle systems (IPS) are used to rigorously derive partial differential equations modeling macroscopic behavior given by systems of stochastic differential equa- tions in physics, biology, and other sciences. These systems model the time evolution of n interacting particles with desired dynamics. In the n-system studied here, only two parti- cles may interact at a time (binary collisions). The particles are exchangeable; that is, the ordering of the particles does not play a role, and the interaction between the ith particle and the jth particle models an elastic collision. In this thesis, we use the method of inter- acting particle …
Critical Appraisal Of Multidrug Therapy In The Ambulatory Management Of Patients With Covid-19 And Hypoxemia Part I. Evidence Supporting The Strength Of Association,
2025
The University of Texas Rio Grande Valley
Critical Appraisal Of Multidrug Therapy In The Ambulatory Management Of Patients With Covid-19 And Hypoxemia Part I. Evidence Supporting The Strength Of Association, Eleftherios Gkioulekas, Peter A. Mccullough, Colleen Aldous
School of Mathematical & Statistical Sciences Faculty Publications
This critical appraisal is focused on three published case series of 119 COVID-19 patients with hypoxemia who were successfully treated in the United States, Zimbabwe, and Nigeria with similar off-label ivermectin-based multidrug treatments that may include ivermectin, nebulized nanosilver, doxycycline, zinc, Vitamins C, and Vitamin D, resulting in rapid recovery of oxygen levels. We used a simplified self-controlled case series method to investigate the association between treatment and the existence of hospitalization rate reduction. External controls of hospitalized patients were compared against the subgroup of patients with baseline room air SpO2 ≤ 90% to investigate the association between treatment and …
Component Order Edge Connectivity, Vertex Degrees, And Integer Partitions,
2025
Pennsylvania State University - Brandywine
Component Order Edge Connectivity, Vertex Degrees, And Integer Partitions, Michael R. Yatauro
Theory & Applications of Graphs
Given a finite, simple graph G, the k-component order connectivity (resp. edge connectivity) of G is the minimum number of vertices (resp. edges) whose removal results in a subgraph in which every component has an order of at most k − 1. In general, determining the k-component order edge connectivity of a graph is NP-hard. We identify conditions on the vertex degrees of G that can be used to imply a lower bound on the k-component order edge connectivity of G. We will discuss the process for generating such conditions for a lower bound of 1 or 2, and we …
Conditional Quantization For Uniform Distributions On Line Segments And Regular Polygons,
2025
The University of Texas Rio Grande Valley
Conditional Quantization For Uniform Distributions On Line Segments And Regular Polygons, Pigar Biteng, Mathieu Caguiat, Tsianna Dominguez, Mrinal Kanti Roychowdhury
School of Mathematical & Statistical Sciences Faculty Publications
Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If, in the quantization some of the elements in the support are preselected, then the quantization is called a conditional quantization. In this paper, we investigate the conditional quantization for the uniform distributions defined on the unit line segments and m-sided regular polygons, where 𝑚≥3, inscribed in a unit circle.
Dynamic Mean-Field Theory For Continuous Random Networks,
2025
The University of Texas Rio Grande Valley
Dynamic Mean-Field Theory For Continuous Random Networks, Wilson A. Zuniga-Galindo
School of Mathematical & Statistical Sciences Faculty Publications
This article studies the dynamics of the mean-field approximation of continuous random networks. These networks are stochastic integrodifferential equations driven by Gaussian noise. The kernels in the integral operators are realizations of generalized Gaussian random variables. The equation controls the time evolution of a macroscopic state interpreted as neural activity, which depends on position and time. Such a network corresponds to a statistical field theory (SFT) given by a momenta-generating functional. Discrete versions of the mentioned networks appeared in spin glasses and as models of artificial neural networks. Each of these discrete networks corresponds to a lattice SFT, where the …
An Operator Information Quantity Of A Semigroup And Associated Differential Equations,
2025
Department of Mathematics, Meijo University
An Operator Information Quantity Of A Semigroup And Associated Differential Equations, Kimiaki Saito, Ryo Inayoshi
Journal of Stochastic Analysis
No abstract provided.
Biquandle Power Brackets Of Oriented Links,
2025
TÜBİTAK
Biquandle Power Brackets Of Oriented Links, Nesli̇han Gügümcü, Sam Nelson
Turkish Journal of Mathematics
In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases.
Order Structure Of Order-To-Topological Continuous Operator,
2025
TÜBİTAK
Order Structure Of Order-To-Topological Continuous Operator, Gül Si̇nem Keleş, Bahri̇ Turan, Bi̇rol Altin
Turkish Journal of Mathematics
Let J be a vector lattice, and W be a topological vector space. An operator K: J → W is called an order-to-topological continuous operator if uα → 0 in J implies K(uα) → 0 in W for each net (uα) in J. In this study, we examine the order structure of the space of order-to-topological continuous operators in general and the order structure of order-to-norm continuous operators in particular. We study the relationships between order-to-topology continuous operators and other classes of operators, such as order weakly compact and order continuous operators. Moreover, we give …
Fractional Equivalent Of Fourth-Order Laguerre And Chebyshev Polynomials,
2025
TÜBİTAK
Fractional Equivalent Of Fourth-Order Laguerre And Chebyshev Polynomials, Zahra Kavousi, Kazem Ghanbari
Turkish Journal of Mathematics
Orthogonal polynomials have very useful properties in the solution of mathematical and physical problems. In the last few years, there has been considerable interest in the properties of orthogonal polynomials satisfying differential equations (DE) of order greater than two, their connection to singular boundary value problems, their generalizations, and their classification as solutions of second-order DE. In this paper, we develop a fractional analog of the fourth-order Laguerre differential equation on the interval [0, ∞) and, in addition, we develop a fractional analog of the fourth-order Chebyshev differential equation on a symmetric interval [−α, α], where α is the order …
Continuous Dependence Of Thermoelasticity Problem,
2025
TÜBİTAK
Continuous Dependence Of Thermoelasticity Problem, Müge Meyvaci, Şevket Gür
Turkish Journal of Mathematics
The current study considers the initial boundary value problem for the thermoelastic model. The model in which heat conduction is given by Green and Naghdi's theory is called Type II. It is increasingly accepted that studying the structural stability of the initial boundary value problem is crucial. This is because even minor changes in the equation or its coefficients can lead to significant variations in the solution of the problem. From this point of view, we analyze the structural stability of the solutions, specifically examining the continuous dependence of the solutions on all the coefficients of the thermoelastic system, using …
A Note On A Novel Type Of Alster Covering Property In Bitopological Setting,
2025
TÜBİTAK
A Note On A Novel Type Of Alster Covering Property In Bitopological Setting, Necati̇ Can Açikgöz, Ceren Sultan Elmali
Turkish Journal of Mathematics
In this paper, we introduce a new type of Alster covering property in bitopological setting. We investigate its relations with other existing covering properties. By giving counterexamples, we indicate that our new property is different than other mentioned properties. We also construct some conditions for equivalences of those properties with the corresponding property. We also consider the preservation of this new form of bitopological Alster covering property. We investigate the productivity of bitopological nearly Lindelöfness and bitopological nearly Mengerness.
Improving Upper Bounds Of Berezin Number Inequalities Using Convex Function,
2025
Suleyman Demirel University
Improving Upper Bounds Of Berezin Number Inequalities Using Convex Function, Sana Khan, Mehmet Gürdal, Muhammad Saeed Akram
Turkish Journal of Mathematics
In this research article, new upper bounds are established for the Berezin number of bounded linear operators within the context of functional Hilbert space using the convex function. These bounds are achieved by exploiting an extension of Furuta's inequality and an extension of Kato's inequality. These Berezin number bounds are refinements of already existing bounds found in the literature.
Quantization Dimensions For Inhomogeneous Bi-Lipschitz Iterated Function Systems,
2025
The University of Texas Rio Grande Valley
Quantization Dimensions For Inhomogeneous Bi-Lipschitz Iterated Function Systems, Amit Priyadarshi, Mrinal Kanti Roychowdhury, Manuj Verma
School of Mathematical & Statistical Sciences Faculty Publications
Let ν be a Borel probability measure on a d-dimensional Euclidean space R d , d ≥ 1 , with a compact support, and let ( p 0 , p 1 , p 2 , … , p N ) be a probability vector with p j > 0 for 0 ≤ j ≤ N . Let { S j : 1 ≤ j ≤ N } be a set of contractive mappings on R d . Then, a Borel probability measure μ on R d such that μ = ∑ N j = 1 p j μ ∘ S − …
The Product Formula Of Multiple Stochastic Integrals With Respect To The Poisson Space Noise,
2025
Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, 811, TAIWAN
The Product Formula Of Multiple Stochastic Integrals With Respect To The Poisson Space Noise, Yuh-Jia Lee, Hsin-Hung Shih
Journal of Stochastic Analysis
No abstract provided.
American Option Pricing Using Generalised Stochastic Hybrid Systems,
2025
Institute of Stochastics, Johannes Kepler University Linz, 4040, Austria
American Option Pricing Using Generalised Stochastic Hybrid Systems, Evelyn Buckwar, Sascha Desmettre, Agnes Mallinger, Amira Meddah
Journal of Stochastic Analysis
No abstract provided.
About Fixed Points Of Quantum Channels,
2025
ipartimento di Matematica dell’Università di Pavia, via Ferrata 1, 27100 Pavia, Italy
About Fixed Points Of Quantum Channels, Raffaella Carbone
Journal of Stochastic Analysis
No abstract provided.
Stochastic Bundles, New Classes Of Gaussian Processes And White Noise-Space Analysis Indexed By Measures,
2025
Chapman University
Stochastic Bundles, New Classes Of Gaussian Processes And White Noise-Space Analysis Indexed By Measures, Daniel Alpay, Palle Jorgensen
Mathematics, Physics, and Computer Science Faculty Articles and Research
Starting from a fixed measure space (X,F,μ), with μ a positive sigma-finite measure defined on the sigma-algebra F, we continue here our study of a generalization W(μ) of Brownian motion, and introduce a corresponding white-noise process. In detail, the generalized Brownian motion is a centered Gaussian process W(μ), indexed by the elements A in F of finite μ measure, and with covariance function μ(A ∩ B). The purpose of our present paper is to make precise and study the corresponding whitenoise process, i.e., a point-wise process which is indexed by X, and which arises …
Subfitness In Distributive (Semi)Lattices,
2025
New Mexico State University
Subfitness In Distributive (Semi)Lattices, G. Bezhanishvili, J. Madden, M. A. Moshier, M. Tressl, Joanne Walters-Wayland
Mathematics, Physics, and Computer Science Faculty Articles and Research
We investigate whether the set of subfit elements of a distributive semilattice is an ideal. This question was raised by the second author at the BLAST conference in 2022. We show that in general it has a negative solution, however if the semilattice is a lattice, then the solution is positive. This is somewhat unexpected since, as we show, a semilattice is subfit if and only if so is its distributive lattice envelope.
Induced-Minor-Closed Classes Of Matroids,
2025
Louisiana State University and Agricultural and Mechanical College
Induced-Minor-Closed Classes Of Matroids, James Dylan Douthitt
LSU Doctoral Dissertations
A graph is chordal if every cycle of length at least four has a chord. In 1961, Dirac characterized chordal graphs as those graphs that can be built from complete graphs by repeated clique-sums. Generalizing this, we consider the class of simple GF(q)-representable matroids that can be built from projective geometries over GF(q) by repeated generalized parallel connections across projective geometries. We show that this class of matroids is closed under induced minors and characterize the class by its forbidden induced minors, noting that the case when q=2 is distinctive. Additionally, we show that the class of GF(2)-chordal matroids coincides …
The Intricacies Of Pairwise Modular Multiplicative Inverse In Lucas Numbers,
2025
Pullman High School
The Intricacies Of Pairwise Modular Multiplicative Inverse In Lucas Numbers, Charles Liu
Rose-Hulman Undergraduate Mathematics Journal
Let (p,q) be a pair of relatively prime integers greater than 1. The pairwise modular multiplicative inverse (PMMI) of (p,q) is defined as the unique pair of positive integers (p′, q′) such that p p′ ≡ 1 (mod q), p′ < q, qq′ ≡ 1 (mod p), q′ < p. In this paper, we determine all pairs of Lucas numbers such that their PMMIs are pairs of Lucas numbers.
