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Articles 1 - 30 of 38
Full-Text Articles in Other Mathematics
The Moments Of Lévy's Area Using A Sticky Shuffle Hopf Algebra, Robin Hudson, Uwe Schauz, Yue Wu
The Moments Of Lévy's Area Using A Sticky Shuffle Hopf Algebra, Robin Hudson, Uwe Schauz, Yue Wu
Communications on Stochastic Analysis
No abstract provided.
Essential Sets For Random Operators Constructed From An Arratia Flow, Andrey A. Dorogovtsev, Ia. A. Korenovska
Essential Sets For Random Operators Constructed From An Arratia Flow, Andrey A. Dorogovtsev, Ia. A. Korenovska
Communications on Stochastic Analysis
No abstract provided.
One Dimensional Complex Ornstein-Uhlenbeck Operator, Yong Chen
One Dimensional Complex Ornstein-Uhlenbeck Operator, Yong Chen
Communications on Stochastic Analysis
No abstract provided.
Perpetual Integral Functionals Of Brownian Motion And Blowup Of Semilinear Systems Of Spdes, Eugenio Guerrero, José Alfredo López-Mindela
Perpetual Integral Functionals Of Brownian Motion And Blowup Of Semilinear Systems Of Spdes, Eugenio Guerrero, José Alfredo López-Mindela
Communications on Stochastic Analysis
No abstract provided.
A Note On Time-Dependent Additive Functionals, Adrien Barrasso, Francesco Russo
A Note On Time-Dependent Additive Functionals, Adrien Barrasso, Francesco Russo
Communications on Stochastic Analysis
No abstract provided.
Ar(1) Sequence With Random Coefficients:Regenerative Properties And Its Application, Krishna B. Athreya, Koushik Saha, Radhendushka Srivastava
Ar(1) Sequence With Random Coefficients:Regenerative Properties And Its Application, Krishna B. Athreya, Koushik Saha, Radhendushka Srivastava
Communications on Stochastic Analysis
No abstract provided.
Disciple, Jessica K. Sklar
Disciple, Jessica K. Sklar
Journal of Humanistic Mathematics
This is a love poem for mathematics.
Discrete And Continuous: A Fundamental Dichotomy In Mathematics, James Franklin
Discrete And Continuous: A Fundamental Dichotomy In Mathematics, James Franklin
Journal of Humanistic Mathematics
The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article explains the distinction and why it has proved to be one of the great organizing themes of mathematics.
Some Thoughts On The Epicurean Critique Of Mathematics, Michael Aristidou
Some Thoughts On The Epicurean Critique Of Mathematics, Michael Aristidou
Journal of Humanistic Mathematics
In this paper, we give a comprehensive summary of the discussion on the Epicurean critique of mathematics and in particular of Euclid's geometry. We examine the methodological critique of the Epicureans on mathematics and we assess whether a 'mathematical atomism' was proposed, and its implications. Finally, we examine the Epicurean philosophical stance on mathematics and evaluate whether it was on target or not.
Quantitative Literacy In The Affective Domain: Computational Geology Students’ Reactions To Devlin’S The Math Instinct, Victor J. Ricchezza, H. L. Vacher
Quantitative Literacy In The Affective Domain: Computational Geology Students’ Reactions To Devlin’S The Math Instinct, Victor J. Ricchezza, H. L. Vacher
Numeracy
Building on suggestions from alumni from a recent interview project, students in Computational Geology at the University of South Florida were tasked with reading a popular non-fiction book on mathematics and writing about the book and their feelings about math. The book, The Math Instinct by Keith Devlin, was chosen because we believed it would give the students something interesting to write about and not because we had any expectations in particular about what it might reveal about or do for their math anxiety. The nature of the responses received from the students led to the performance of a post-hoc …
Figures And First Years: An Analysis Of Calculus Students' Use Of Figures In Technical Reports, Nathan J. Antonacci, Michael Rogers, Thomas J. Pfaff, Jason G. Hamilton
Figures And First Years: An Analysis Of Calculus Students' Use Of Figures In Technical Reports, Nathan J. Antonacci, Michael Rogers, Thomas J. Pfaff, Jason G. Hamilton
Numeracy
This three-year study focused on first-year Calculus I students and their abilities to incorporate figures in technical reports. In each year, these calculus students wrote a technical report as part of the Polar Bear Module, an educational unit developed for use in partner courses in biology, computer science, mathematics, and physics as part of the Multidisciplinary Sustainability Education (MSE) project at Ithaca College. In the first year of the project, students received basic technical report guidelines. In year two, the report guidelines changed to include explicit language on how to incorporate figures. In year three, a grading rubric was added …
An Optimal Execution Problem With S-Shaped Market Impact Functions, Takashi Kato
An Optimal Execution Problem With S-Shaped Market Impact Functions, Takashi Kato
Communications on Stochastic Analysis
No abstract provided.
Statistical Analysis Of The Non-Ergodic Fractional Ornstein–Uhlenbeck Process Of The Second Kind, Brahim El Onsy, Khalifa Es-Sebaiy, Ciprian A. Tudor
Statistical Analysis Of The Non-Ergodic Fractional Ornstein–Uhlenbeck Process Of The Second Kind, Brahim El Onsy, Khalifa Es-Sebaiy, Ciprian A. Tudor
Communications on Stochastic Analysis
No abstract provided.
Stationary Solutions Of Stochastic Partial Differential Equations In The Space Of Tempered Distributions, Suprio Bhar
Stationary Solutions Of Stochastic Partial Differential Equations In The Space Of Tempered Distributions, Suprio Bhar
Communications on Stochastic Analysis
No abstract provided.
Poisson Approximation Of Rademacher Functionals By The Chen-Stein Method And Malliavin Calculus, Kai Kronkowski
Poisson Approximation Of Rademacher Functionals By The Chen-Stein Method And Malliavin Calculus, Kai Kronkowski
Communications on Stochastic Analysis
No abstract provided.
A Note On Evolution Systems Of Measures Of Stochastic Differential Equations In Infinite Dimensional Hilbert Spaces, Thanh Tan Mai
A Note On Evolution Systems Of Measures Of Stochastic Differential Equations In Infinite Dimensional Hilbert Spaces, Thanh Tan Mai
Communications on Stochastic Analysis
No abstract provided.
Fractal Behavior Of Multivariate Operator-Self-Similar Stable Random Fields, Ercan Sönmez
Fractal Behavior Of Multivariate Operator-Self-Similar Stable Random Fields, Ercan Sönmez
Communications on Stochastic Analysis
No abstract provided.
Mixed Strategies For Deterministic Differential Games, Wendell H. Fleming, Daniel Hernandez-Hernandez
Mixed Strategies For Deterministic Differential Games, Wendell H. Fleming, Daniel Hernandez-Hernandez
Communications on Stochastic Analysis
No abstract provided.
On Infinite Stochastic And Related Matrices, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris
On Infinite Stochastic And Related Matrices, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris
Communications on Stochastic Analysis
No abstract provided.
Spatial Ergodicity Of The Harris Flows, E.V. Glinyanaya
Spatial Ergodicity Of The Harris Flows, E.V. Glinyanaya
Communications on Stochastic Analysis
No abstract provided.
Revolution In Ideology: Crafting A Holistic Scientific Dialectic, Nathan Neill
Revolution In Ideology: Crafting A Holistic Scientific Dialectic, Nathan Neill
Dialogue & Nexus
Ideology drives scientific research far more than is acknowledged. Since science itself is conducted by individuals, each scientist has a biased conception of themselves and their surroundings relative to the rest of the universe, even if it is never explicated. This sense of relation to the greater universe is what defines the ideology of the individual. It is this sense of relation and self that creates the individual, who goes on to investigate the natural world by the scientific method. In this paper I will examine extant scientific ideology, particularly in Western science, and propose changes that could be helpful.
Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta
Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta
Communications on Stochastic Analysis
No abstract provided.
A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, Ryoichi Suzuki
A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, Ryoichi Suzuki
Communications on Stochastic Analysis
No abstract provided.
Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski
Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski
Communications on Stochastic Analysis
No abstract provided.
On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo
On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo
Communications on Stochastic Analysis
No abstract provided.
On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko
On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko
Communications on Stochastic Analysis
No abstract provided.
Existence And Stability For Stochastic Impulsive Neutral Partial Differential Equations Driven By Rosenblatt Process With Delay And Poisson Jumps, Mouhamed Ait Ouahra, Brahim Boufoussi, El Hassan Lakhel
Existence And Stability For Stochastic Impulsive Neutral Partial Differential Equations Driven By Rosenblatt Process With Delay And Poisson Jumps, Mouhamed Ait Ouahra, Brahim Boufoussi, El Hassan Lakhel
Communications on Stochastic Analysis
No abstract provided.
Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives
Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives
Communications on Stochastic Analysis
No abstract provided.
Some Comments On Multiple Discovery In Mathematics, Robin W. Whitty
Some Comments On Multiple Discovery In Mathematics, Robin W. Whitty
Journal of Humanistic Mathematics
Among perhaps many things common to Kuratowski's Theorem in graph theory, Reidemeister's Theorem in topology, and Cook's Theorem in theoretical computer science is this: all belong to the phenomenon of simultaneous discovery in mathematics. We are interested to know whether this phenomenon, and its close cousin repeated discovery, give rise to meaningful questions regarding causes, trends, categories, etc. With this in view we unearth many more examples, find some tenuous connections and draw some tentative conclusions.
A Madison-Numeracy Citation Index (2008-2015): Implementing A Vision For A Quantitatively Literate World, Nathan D. Grawe, H. L. Vacher
A Madison-Numeracy Citation Index (2008-2015): Implementing A Vision For A Quantitatively Literate World, Nathan D. Grawe, H. L. Vacher
Numeracy
This editorial recognizes the contributions made by Bernard Madison to the field of quantitative literacy with a bibliographic index of his papers, edited volumes, and works contained therein that were cited in the first eight volumes (2008-2015) of Numeracy. In total, 61 citing papers ("sources") cite 42 Madison works ("citations") a total of 218 times. The source and citation indexes provided in the appendix at the end of this editorial make it easy to see the direct contribution of Madison's work to the arguments and debates contained in the founding years of the journal. For those who are new …