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Articles 1 - 30 of 36
Full-Text Articles in Other Mathematics
Runge-Kutta Methods For Rough Differential Equations, Martin Redmann, Sebastian Riedel
Runge-Kutta Methods For Rough Differential Equations, Martin Redmann, Sebastian Riedel
Journal of Stochastic Analysis
No abstract provided.
A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, Yihren Wu, Majnu John
A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, Yihren Wu, Majnu John
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Monotone Poisson Central Limit Theorem, Yungang Lu
Quantization Of The Monotone Poisson Central Limit Theorem, Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, Santatriniaina Avotra Randrianambinina, Julius Esunge
Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, Santatriniaina Avotra Randrianambinina, Julius Esunge
Journal of Stochastic Analysis
No abstract provided.
On The Diagonalizability And Factorizability Of Quadratic Boson Fields, Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov
On The Diagonalizability And Factorizability Of Quadratic Boson Fields, Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov
Journal of Stochastic Analysis
No abstract provided.
(R1958) On Deferred Statistical Convergence Of Fuzzy Variables, Ömer Kişi, Mehmet Gürdal, Ekrem Savaş
(R1958) On Deferred Statistical Convergence Of Fuzzy Variables, Ömer Kişi, Mehmet Gürdal, Ekrem Savaş
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, within framework credibility theory, we examine several notions of convergence and statistical convergence of fuzzy variable sequences. The convergence of fuzzy variable sequences such as the notion of convergence in credibility, convergence in distribution, convergence in mean, and convergence uniformly virtually certainly via postponed Cesàro mean and a regular matrix are researched using fuzzy variables. We investigate the connections between these concepts. Significant results on deferred statistical convergence for fuzzy variable sequences are thoroughly investigated.
(R1886) Effect Of Aggregation Function In Moma-Plus Method For Obtaining Pareto Optimal Solutions, Alexandre Som, Abdoulaye Compaoré, Kounhinir Somé, Blaise Somé
(R1886) Effect Of Aggregation Function In Moma-Plus Method For Obtaining Pareto Optimal Solutions, Alexandre Som, Abdoulaye Compaoré, Kounhinir Somé, Blaise Somé
Applications and Applied Mathematics: An International Journal (AAM)
In this work, we have proposed some variants of MOMA-Plus method that we have numerically tested for the resolution of nonlinear multiobjective optimization problems. This MOMA-Plus method and variants differ from each other by the choice of aggregation functions in order to reduce the number of objective functions. The theoretical results allowing us to use these aggregation functions to transform multiobjective optimization problems into single objective optimization problems are proved by two theorems. This study has highlighted the advantages of each aggregation function according to the type of Pareto front of the optimization problem. Six benchmarks test problems have been …
(R1888) On The Mackey-Glass Model With A Piecewise Constant Argument, Mehtap Lafci Büyükkahraman
(R1888) On The Mackey-Glass Model With A Piecewise Constant Argument, Mehtap Lafci Büyükkahraman
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we deal with the Mackey-Glass model with piecewise constant argument. Because the corresponding difference equation is the difference solution of the equation, the difference equation can clearly predict the dynamic behavior of the equation. So, we look at how the difference equation behaves.We study the asymptotic stability of the equilibrium point of the difference equation and it is obtained that this point is a repeller under some conditions. Also, it is shown that every oscillatory solution of the difference equation has semi-cycles of length at least two, and every oscillatory solution of the difference equation is attracted …
On The Smallest Non-Trivial Action Of Saut(Fn) For Small N, Reemon Spector
On The Smallest Non-Trivial Action Of Saut(Fn) For Small N, Reemon Spector
Rose-Hulman Undergraduate Mathematics Journal
In this paper we investigate actions of SAut(Fn), the unique index 2 subgroup of Aut(Fn), on small sets, improving upon results by Baumeister--Kielak--Pierro for several small values of n. Using a computational approach for n ⩾ 5, we show that every action of SAut(Fn) on a set containing fewer than 20 elements is trivial.
The Degree Gini Index Of Several Classes Of Random Trees And Their Poissonized Counterparts—Evidence For Duality, Carly Domicolo, Panpan Zhang, Hosam Mahmoud
The Degree Gini Index Of Several Classes Of Random Trees And Their Poissonized Counterparts—Evidence For Duality, Carly Domicolo, Panpan Zhang, Hosam Mahmoud
Journal of Stochastic Analysis
No abstract provided.
A Sharp Rate Of Convergence In The Functional Central Limit Theorem With Gaussian Input, S.V. Lototsky
A Sharp Rate Of Convergence In The Functional Central Limit Theorem With Gaussian Input, S.V. Lototsky
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Free Poisson Central Limit Theorem, Yungang Lu
Quantization Of The Free Poisson Central Limit Theorem, Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Boolean Poisson Central Limit Theorem And A Generalized Boolean Bernoulli Sequence, Yungang Lu
Quantization Of The Boolean Poisson Central Limit Theorem And A Generalized Boolean Bernoulli Sequence, Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
A First-Passage Problem For Exponential Integrated Diffusion Processes, Mario Lefebvre
A First-Passage Problem For Exponential Integrated Diffusion Processes, Mario Lefebvre
Journal of Stochastic Analysis
No abstract provided.
Domain Of Exotic Laplacian Constructed By Wiener Integrals Of Exponential White Noise Distributions, Luigi Accardi, Un Cig Ji, Kimiaki Saitô
Domain Of Exotic Laplacian Constructed By Wiener Integrals Of Exponential White Noise Distributions, Luigi Accardi, Un Cig Ji, Kimiaki Saitô
Journal of Stochastic Analysis
No abstract provided.
Academic Hats And Ice Cream: Two Optimization Problems, Valery F. Ochkov, Yulia V. Chudova
Academic Hats And Ice Cream: Two Optimization Problems, Valery F. Ochkov, Yulia V. Chudova
Journal of Humanistic Mathematics
This article describes the use of computer software to optimize the design of an academic hat and an ice cream cone!
The Construction And Estimation Of Hidden Semi-Markov Models, Kurdstan Abdullah, John Van Der Hoek
The Construction And Estimation Of Hidden Semi-Markov Models, Kurdstan Abdullah, John Van Der Hoek
Journal of Stochastic Analysis
No abstract provided.
The Thermodynamics Of A Stochastic Geometry Model With Applications To Non-Extensive Statistics, O.K. Kazemi, A. Pourdarvish, J. Sadeghi
The Thermodynamics Of A Stochastic Geometry Model With Applications To Non-Extensive Statistics, O.K. Kazemi, A. Pourdarvish, J. Sadeghi
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Poisson Type Central Limit Theorem (1), Yungang Lu
Quantization Of The Poisson Type Central Limit Theorem (1), Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
A Closed Form Formula For The Stochastic Exponential Of A Matrix-Valued Semimartingale, Peter Kern, Christian Müller
A Closed Form Formula For The Stochastic Exponential Of A Matrix-Valued Semimartingale, Peter Kern, Christian Müller
Journal of Stochastic Analysis
No abstract provided.
Ultrametrics And Complete Multipartite Graphs, Viktoriia Viktorivna Bilet, Oleksiy Dovgoshey, Yuriy Nikitovich Kononov
Ultrametrics And Complete Multipartite Graphs, Viktoriia Viktorivna Bilet, Oleksiy Dovgoshey, Yuriy Nikitovich Kononov
Theory and Applications of Graphs
Let (X, d) be a semimetric space and let G be a graph. We say that G is the diametrical graph of (X, d) if X is the vertex set of G and the adjacency of vertices x and y is equivalent to the equality diam X = d(x, y). It is shown that a semimetric space (X, d) with diameter d* is ultrametric if the diametrical graph of (X, d ε) with d ε (x, y) = min{d(x, y), ε} is complete multipartite for every ε ∈ (0, d* …
Self-Repelling Elastic Manifolds With Low Dimensional Range, Carl Mueller, Eyal Neumann
Self-Repelling Elastic Manifolds With Low Dimensional Range, Carl Mueller, Eyal Neumann
Journal of Stochastic Analysis
No abstract provided.
Induced Matrices: Recurrences And Markov Chains, Philip Feinsilver
Induced Matrices: Recurrences And Markov Chains, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Implementation Of A Least Squares Method To A Navier-Stokes Solver, Jada P. Lytch, Taylor Boatwright, Ja'nya Breeden
Implementation Of A Least Squares Method To A Navier-Stokes Solver, Jada P. Lytch, Taylor Boatwright, Ja'nya Breeden
Rose-Hulman Undergraduate Mathematics Journal
The Navier-Stokes equations are used to model fluid flow. Examples include fluid structure interactions in the heart, climate and weather modeling, and flow simulations in computer gaming and entertainment. The equations date back to the 1800s, but research and development of numerical approximation algorithms continues to be an active area. To numerically solve the Navier-Stokes equations we implement a least squares finite element algorithm based on work by Roland Glowinski and colleagues. We use the deal.II academic library , the C++ language, and the Linux operating system to implement the solver. We investigate convergence rates and apply the least squares …
How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli
How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli
The Review: A Journal of Undergraduate Student Research
The art gallery problem is a geometry question that seeks to find the minimum number of guards necessary to guard an art gallery based on the qualities of the museum’s shape, specifically the number of walls. Solved by Václav Chvátal in 1975, the resulting Art Gallery Theorem dictates that ⌊n/3⌋ guards are always sufficient and sometimes necessary to guard an art gallery with n walls. This theorem, along with the argument that proves it, are accessible and interesting results even to one with little to no mathematical knowledge, introducing readers to common concepts in both geometry and graph …
Additional Fay Identities Of The Extended Toda Hierarchy, Yu Wan
Additional Fay Identities Of The Extended Toda Hierarchy, Yu Wan
Rose-Hulman Undergraduate Mathematics Journal
The focus of this paper is the extended Toda Lattice hierarchy, an infinite system of partial differential equations arising from the Toda lattice equation. We begin by giving the definition of the extended Toda hierarchy and its explicit bilinear equation, following Takasaki’s construction. We then derive a series of new Fay identities. Finally, we discover a general formula for one type of Fay identity.
A New Metaphor: How Artificial Intelligence Links Legal Reasoning And Mathematical Thinking, Melissa E. Love Koenig, Colleen Mandell
A New Metaphor: How Artificial Intelligence Links Legal Reasoning And Mathematical Thinking, Melissa E. Love Koenig, Colleen Mandell
Marquette Law Review
Artificial intelligence’s (AI’s) impact on the legal community expands exponentially each year. As AI advances, lawyers have more powerful tools to enhance their ability to research and analyze the law, as well as to draft contracts and other legal documents. Lawyers are already using tools powered by AI and are learning to shift their methodologies to take advantage of these enhancements. To continue to grow into their shifting role, lawyers should understand the relationship between AI, mathematics, and legal reasoning.
High School Student Perspective: My Njit Stem For Success Internship Experience, Michael Mora
High School Student Perspective: My Njit Stem For Success Internship Experience, Michael Mora
STEM Month
During the 2020-2021 school year, I was a senior at the Academy for Mathematics, Science, and Engineering (AMSE) in Rockaway, NJ. At AMSE, a STEM-focused four-year magnet high school program hosted at Morris Hills High School, participating in an extended internship senior year is a cornerstone of the learning process. Required to complete a STEM-related internship to graduate, Academy students are encouraged to seek out an internship they’re passionate about in a field of their choice. The internship, which must be conducted under the mentorship of an industry professional, must meet the New Jersey-approved standards for a work-based learning experience …
Spectral Theorem Approach To The Characteristic Function Of Quantum Observables, Andreas Boukas
Spectral Theorem Approach To The Characteristic Function Of Quantum Observables, Andreas Boukas
Journal of Stochastic Analysis
No abstract provided.
Construction Of The Canonical Representation From A Noncanonical Representation, Yuji Hibino
Construction Of The Canonical Representation From A Noncanonical Representation, Yuji Hibino
Journal of Stochastic Analysis
No abstract provided.