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Articles 1 - 30 of 123
Full-Text Articles in Other Mathematics
The Stationary Phase Method For Real Analytic Geometry, Domenico Napoletani, Daniele C. Struppa
The Stationary Phase Method For Real Analytic Geometry, Domenico Napoletani, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
We prove that the existence of isolated solutions of systems of equations of analytical functions on compact real domains in Rp, is equivalent to the convergence of the phase of a suitable complex valued integral I(h) for h→∞. As an application, we then use this result to prove that the problem of establishing the irrationality of the value of an analytic function F(x) at a point x0 can be rephrased in terms of a similar phase convergence.
The Varieties Of Indispensability Arguments, Marco Panza, Andrea Sereni
The Varieties Of Indispensability Arguments, Marco Panza, Andrea Sereni
MPP Published Research
The indispensability argument (IA) comes in many different versions that all reduce to a general valid schema. Providing a sound IA amounts to providing a full interpretation of the schema according to which all its premises are true. Hence, arguing whether IA is sound results in wondering whether the schema admits such an interpretation. We discuss in full details all the parameters on which the specification of the general schema may depend. In doing this, we consider how different versions of IA can be obtained, also through different specifications of the notion of indispensability. We then distinguish between schematic and …
Two-Dimensional 1-Meixner Random Vectors And Their Semi-Quantum Operators, Gabriela Popa, Aurel I Stan
Two-Dimensional 1-Meixner Random Vectors And Their Semi-Quantum Operators, Gabriela Popa, Aurel I Stan
Communications on Stochastic Analysis
No abstract provided.
A Poisson Shot-Noise Process Of Pulses And Its Scaling Limits, Mine Çaglar
A Poisson Shot-Noise Process Of Pulses And Its Scaling Limits, Mine Çaglar
Communications on Stochastic Analysis
No abstract provided.
Solving A Class Of Linear Skorokhod Stochastic Differential Equations, Karl-Heinz Fichtner, Steffen Klaere, Volkmar Liebscher
Solving A Class Of Linear Skorokhod Stochastic Differential Equations, Karl-Heinz Fichtner, Steffen Klaere, Volkmar Liebscher
Communications on Stochastic Analysis
No abstract provided.
Large Deviations For Stochastic Tidal Dynamics Equation, Murugan Suvinthra, Sivaguru S Sritharan, Krishnan Balachandran
Large Deviations For Stochastic Tidal Dynamics Equation, Murugan Suvinthra, Sivaguru S Sritharan, Krishnan Balachandran
Communications on Stochastic Analysis
No abstract provided.
On The Lévy-Khinchin Decomposition Of Generating Functionals, Uwe Franz, Malte Gerhold, Andreas Thom
On The Lévy-Khinchin Decomposition Of Generating Functionals, Uwe Franz, Malte Gerhold, Andreas Thom
Communications on Stochastic Analysis
No abstract provided.
White Noise Analysis For The Canonical Lévy Process, Rolando D Navarro Jr., Frederi G Viens
White Noise Analysis For The Canonical Lévy Process, Rolando D Navarro Jr., Frederi G Viens
Communications on Stochastic Analysis
No abstract provided.
Krylov-Veretennikov Formula For Functionals From The Stopped Wiener Process, Georgii V Riabov
Krylov-Veretennikov Formula For Functionals From The Stopped Wiener Process, Georgii V Riabov
Communications on Stochastic Analysis
No abstract provided.
Doob's Decomposition Theorem For Near-Submartingales, Hui-Hsiung Kuo, Kimiaki Saitô
Doob's Decomposition Theorem For Near-Submartingales, Hui-Hsiung Kuo, Kimiaki Saitô
Communications on Stochastic Analysis
No abstract provided.
In Honor And Memory Of Professor Lajos Takács, Aliakbar M. Haghighi, Sri G. Mohanty
In Honor And Memory Of Professor Lajos Takács, Aliakbar M. Haghighi, Sri G. Mohanty
Applications and Applied Mathematics: An International Journal (AAM)
This issue of AAM is dedicated to honoring and remembering Professor Lajos Takács. While wrapping up the manuscript of my book (co-authored by Dr. Dimitar Mishev): Delayed and Network Queues, I went back to celebrate his 1962 book, Introduction to the Theory of Queues, where he gives an example illustrating a waiting time paradox, where the waiting time of a passenger waiting for a bus at a bus stop is infinite, while, in reality, he will wait a finite unit of time before a bus arrive. I sent Professor Takács an e-mail on December 4, 2015, inquiring if he had …
Manzanar Murakami As Radical Mathematician, Logan Bishop-Van Horn
Manzanar Murakami As Radical Mathematician, Logan Bishop-Van Horn
Scholarly Undergraduate Research Journal at Clark (SURJ)
In Karen Tei Yamashita’s Tropic of Orange, characters attempt to make meaning of the many complex structures in which they are situated. In his unique meaning-making process, Manzanar Murakami, a homeless Sansei, “conducts” the Los Angeles traffic with a silver baton from atop a highway overpass. In conducting his music, Murakami per- forms complex mathematics, finding meaning in connection by mapping the rhythmic flow of humans, machines, and goods. Through his baton, to the sounds of a beautiful orchestra, he translates precisely the relationships he sees before him. Murakami’s music and Yamashita’s fantastic images constitute a “mathematical realism,” a lens …
Some Quantum Dynamical Semi-Groups With Quantum Stochastic Dilation, Lingaraj Sahu, Preetinder Singh
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, Laurent Decreusefond, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi
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, Maximilian Bock
On The Regularity Of One Parameter Transformation Groups In Barreled Locally Convex Topological Vector Spaces, Maximilian Bock
Communications on Stochastic Analysis
No abstract provided.
Hidden Markov Change Point Estimation, Robert J Elliott, Sebastian Elliott
Hidden Markov Change Point Estimation, Robert J Elliott, Sebastian Elliott
Communications on Stochastic Analysis
No abstract provided.
Theoretical And Numerical Analysis Of An Optimal Execution Problem With Uncertain Market Impact, Kensuke Ishitani, Takashi Kato
Theoretical And Numerical Analysis Of An Optimal Execution Problem With Uncertain Market Impact, Kensuke Ishitani, Takashi Kato
Communications on Stochastic Analysis
No abstract provided.
Revisiting A Theorem Of L. A. Shepp On Optimal Stopping, Philip A Ernst, Larry A Shepp
Revisiting A Theorem Of L. A. Shepp On Optimal Stopping, Philip A Ernst, Larry A Shepp
Communications on Stochastic Analysis
No abstract provided.
Some New Connections Between Brownian Bridges And Brownian Motions, Estate V Khmaladze
Some New Connections Between Brownian Bridges And Brownian Motions, Estate V Khmaladze
Communications on Stochastic Analysis
No abstract provided.
Singular Equations Driven By An Additive Noise And Applications, Nicolas Marie
Singular Equations Driven By An Additive Noise And Applications, Nicolas Marie
Communications on Stochastic Analysis
No abstract provided.
Geometric Constructions From An Algebraic Perspective, Betzabe Bojorquez
Geometric Constructions From An Algebraic Perspective, Betzabe Bojorquez
Electronic Theses, Projects, and Dissertations
Many topics that mathematicians study at times seem so unrelated such as Geometry and Abstract Algebra. These two branches of math would seem unrelated at first glance. I will try to bridge Geometry and Abstract Algebra just a bit with the following topics. We can be sure that after we construct our basic parallel and perpendicular lines, bisected angles, regular polygons, and other basic geometric figures, we are actually constructing what in geometry is simply stated and accepted, because it will be proven using abstract algebra. Also we will look at many classic problems in Geometry that are not possible …
Smooth Representation Of Functions On Non-Periodic Domains By Means Of The Fourier Continuation Method, Nicholas Rubel, David Bilyeu, Justin Koo
Smooth Representation Of Functions On Non-Periodic Domains By Means Of The Fourier Continuation Method, Nicholas Rubel, David Bilyeu, Justin Koo
STAR Program Research Presentations
This report examines a new methodology in solving Partial Differential Equations (PDEs) numerically. The report also studies the accuracy of this new method as a PDE solver. This new Fourier Continuation (FC) method is one of a few that avoids the well-known Gibbs Phenomenon, which is the overestimation or underestimation of a function. These estimations are oscillations around a “jump” when a non-periodic function is expressed in terms of sines and cosines. Instead, the FC algorithm creates a smooth, periodic extension of a function over a general domain, as demonstrated by the many examples presented here. The FC algorithm was …
Solution Of Nonlinear Time-Dependent Pde Through Componentwise Approximation Of Matrix Functions, Alexandru Cibotarica
Solution Of Nonlinear Time-Dependent Pde Through Componentwise Approximation Of Matrix Functions, Alexandru Cibotarica
Dissertations
Exponential propagation iterative (EPI) methods provide an efficient approach to the solution of large stiff systems of ODE, compared to standard integrators. However, the bulk of the computational effort in these methods is due to products of matrix functions and vectors, which can become very costly at high resolution due to an increase in the number of Krylov projection steps needed to maintain accuracy. In this dissertation, it is proposed to modify EPI methods by using Krylov subspace spectral (KSS) methods, instead of standard Krylov projection methods, to compute products of matrix functions and vectors. This improvement allowed the benefits …
Mathematical Double Dactyls, Tristan Miller
Mathematical Double Dactyls, Tristan Miller
Journal of Humanistic Mathematics
No abstract provided.
On Mathematicians' Eccentricity, Robert Haas
On Mathematicians' Eccentricity, Robert Haas
Journal of Humanistic Mathematics
Eccentricity, though not inevitable, happens. Lightheartedly classifying examples, the author traces it back to factors, like creativity and absorption, essential to mathematical success, and recommends an attitude of amused tolerance towards others as well as to ourselves.
Introduction To Functions And Generality Of Logic. Reflections On Frege's And Dedekind's Logicisms, Hourya Benis Sinaceur, Marco Panza, Gabriel Sandu
Introduction To Functions And Generality Of Logic. Reflections On Frege's And Dedekind's Logicisms, Hourya Benis Sinaceur, Marco Panza, Gabriel Sandu
MPP Published Research
This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege’s, Ramsey’s and Russell’s view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind’s and Frege’s logicisms. The first chapter explains how, although he shares Frege’s aim at substituting logical standards of rigor to intuitive …
Generalizations And Algebraic Structures Of The Grøstl-Based Primitives, Dmitriy Khripkov, Nicholas Lacasse, Bai Lin, Michelle Mastrianni, Liljana Babinkostova (Mentor)
Generalizations And Algebraic Structures Of The Grøstl-Based Primitives, Dmitriy Khripkov, Nicholas Lacasse, Bai Lin, Michelle Mastrianni, Liljana Babinkostova (Mentor)
Idaho Conference on Undergraduate Research
With the large scale proliferation of networked devices ranging from medical implants like pacemakers and insulin pumps, to corporate information assets, secure authentication, data integrity and confidentiality have become some of the central goals for cybersecurity. Cryptographic hash functions have many applications in information security and are commonly used to verify data authenticity. Our research focuses on the study of the properties that dictate the security of a cryptographic hash functions that use Even-Mansour type of ciphers in their underlying structure. In particular, we investigate the algebraic design requirements of the Grøstl hash function and its generalizations. Grøstl is an …
Newton On Indivisibles, Antoni Malet, Marco Panza
Newton On Indivisibles, Antoni Malet, Marco Panza
MPP Published Research
Though Wallis’s Arithmetica infinitorum was one of Newton’s major sources of inspiration during the first years of his mathematical education, indivisibles were not a central feature of his mathematical production.
Wallis On Indivisibles, Antoni Malet, Marco Panza
Wallis On Indivisibles, Antoni Malet, Marco Panza
MPP Published Research
The present chapter is devoted, first, to discuss in detail the structure and results of Wallis’s major and most influential mathematical work, the Arithmetica Infinitorum (Wallis 1656). Next we will revise Wallis’s views on indivisibles as articulated in his answer to Hobbes’s criticism in the early 1670s. Finally, we will turn to his discussion of the proper way to understand the angle of contingence in the first half of the 1680s. As we shall see, there are marked differences in the status that indivisibles seem to enjoy in Wallis’s thought along his mathematical career. These differences correlate with the changing …
Risk Measures On Orlicz Heart Spaces, Coenraad Labuschagne, Habib Ouerdiane, Imen Salhi
Risk Measures On Orlicz Heart Spaces, Coenraad Labuschagne, Habib Ouerdiane, Imen Salhi
Communications on Stochastic Analysis
No abstract provided.