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Unary-Determined Distributive ℓ -Magmas And Bunched Implication Algebras, Natanael Alpay, Peter Jipsen, Melissa Sugimoto 2021 Chapman University

Unary-Determined Distributive ℓ -Magmas And Bunched Implication Algebras, Natanael Alpay, Peter Jipsen, Melissa Sugimoto

Mathematics, Physics, and Computer Science Faculty Articles and Research

A distributive lattice-ordered magma (dℓ-magma) (A,∧,∨,⋅) is a distributive lattice with a binary operation ⋅ that preserves joins in both arguments, and when ⋅ is associative then (A,∨,⋅) is an idempotent semiring. A dℓ-magma with a top ⊤ is unary-determined if x⋅y=(x⋅⊤∧y)∨(x∧⊤⋅y). These algebras are term-equivalent to a subvariety of distributive lattices with ⊤ and two join-preserving unary operations p, q. We obtain simple conditions on p, q such that x⋅y=(px∧y)∨(x∧qy) is associative, commutative, idempotent and/or has an identity element. This generalizes previous results on the structure of doubly idempotent semirings and, in the case when the …


Calculating Infinitesimal Generators, Majnu John, Yihren Wu 2021 Hofstra University, Hempstead, NY 11549, USA

Calculating Infinitesimal Generators, Majnu John, Yihren Wu

Journal of Stochastic Analysis

No abstract provided.


Recursive And Viterbi Estimation For Semi-Markov Chains, Robert J. Elliott, W. P. Malcolm 2021 University of South Australia, Campus Central - City West, GPO Box 2471

Recursive And Viterbi Estimation For Semi-Markov Chains, Robert J. Elliott, W. P. Malcolm

Journal of Stochastic Analysis

No abstract provided.


The N-Dimensional Quadratic Heisenberg Algebra As A “Non–Commutative” Sl(2,C), Luigi Accardi, Andreas Boukas, Yun-Gang Lu 2021 Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy

The N-Dimensional Quadratic Heisenberg Algebra As A “Non–Commutative” Sl(2,C), Luigi Accardi, Andreas Boukas, Yun-Gang Lu

Journal of Stochastic Analysis

No abstract provided.


Rough Paths And Regularization, André O. Gomes, Alberto Ohashi, Francesco Russo, Alan Teixeira 2021 Institut Polytechnique de Paris, UMA, 828, boulevard des Maréchaux, F-91120 Palaiseau, France

Rough Paths And Regularization, André O. Gomes, Alberto Ohashi, Francesco Russo, Alan Teixeira

Journal of Stochastic Analysis

No abstract provided.


Three Questions From Cctm Teachers About Mathematical Modeling, Robyn Stankiewicz-Van Der Zanden, Rachel Levy 2021 North Lakes Academy, Minnesota

Three Questions From Cctm Teachers About Mathematical Modeling, Robyn Stankiewicz-Van Der Zanden, Rachel Levy

Colorado Mathematics Teacher

This article shares three questions and answers about mathematical modeling in the classroom from an April 2020 online conversation with participants of a CCTM webinar. We hope that the answers to these questions will motivate teachers to embrace the value of implementing math modeling tasks, help students see the math all around them in the world, and empower future professionals to reach for the mathematical tools in their pockets to make data-driven decisions.


Generalized Grassmann Algebras And Applications To Stochastic Processes, Daniel Alpay, Paula Cerejeiras, Uwe Kaehler 2021 Chapman University

Generalized Grassmann Algebras And Applications To Stochastic Processes, Daniel Alpay, Paula Cerejeiras, Uwe Kaehler

Mathematics, Physics, and Computer Science Faculty Articles and Research

In this paper, we present the groundwork for an Itô/Malliavin stochastic calculus and Hida's white noise analysis in the context of a supersymmetry with Z3-graded algebras. To this end, we establish a ternary Fock space and the corresponding strong algebra of stochastic distributions and present its application in the study of stochastic processes in this context.


Generalized Girsanov Transform Of Processes And Zakai Equation With Jumps, Masatoshi Fujisaki, Takashi Komatsu 2021 Ritsumeikan Univ., Kusatsu, 525-8577, Japan

Generalized Girsanov Transform Of Processes And Zakai Equation With Jumps, Masatoshi Fujisaki, Takashi Komatsu

Journal of Stochastic Analysis

No abstract provided.


On The Uniqueness Of Solutions To Martingale Problems For Diffusion Operators With Progressively Measurable Random Coefficients, Masaaki Tsuchiya 2021 Kanazawa university, Kanazawa, 920-1192, Japan

On The Uniqueness Of Solutions To Martingale Problems For Diffusion Operators With Progressively Measurable Random Coefficients, Masaaki Tsuchiya

Journal of Stochastic Analysis

No abstract provided.


Particle Representation For The Solution Of The Filtering Problem. Application To The Error Expansion Of Filtering Discretizations, Dan Crisan, Thomas G. Kurtz, Salvador Ortiz-Latorre 2021 Imperial College London, Huxley's Building,180 Queen's Gate, London SW7 2AZ, United Kingdom

Particle Representation For The Solution Of The Filtering Problem. Application To The Error Expansion Of Filtering Discretizations, Dan Crisan, Thomas G. Kurtz, Salvador Ortiz-Latorre

Journal of Stochastic Analysis

No abstract provided.


An Anti-Symmetric Version Of Malliavin Calculus, Jirô Akahori, Tomo Matsusita, Yasufumi Nitta 2021 Ritsumeikan University, 1-1-1 Nojihagashi, Kusatsu 525-8577, Japan

An Anti-Symmetric Version Of Malliavin Calculus, Jirô Akahori, Tomo Matsusita, Yasufumi Nitta

Journal of Stochastic Analysis

No abstract provided.


Eulerian Walk And Dna Sequence Assembly, yifan zhu 2021 Kennesaw State University

Eulerian Walk And Dna Sequence Assembly, Yifan Zhu

Symposium of Student Scholars

Children like jigsaw puzzles, and the way to assemble the puzzle is by putting together pieces that match, one by one, till the puzzle is complete. DNA sequence assembly could be thought of as something similar: when a strand of DNA is passed into a particular “sequencing machine”, it gives a large number of short reads of the DNA sequence. This type of technology is called shotgun sequencing. These reads form the jigsaw pieces in the puzzle and one must put together these pieces in an intelligent way to obtain the original sequence. There is, however, a catch here; apriori, …


Transfer Of Regularity For Markov Semigroups By Using An Interpolation Technique, Vlad Bally, Lucia Caramellino 2021 LAMA (UMR CNRS, UPEMLV, UPEC), MathRisk INRIA, Université Gustave Eiffel, France

Transfer Of Regularity For Markov Semigroups By Using An Interpolation Technique, Vlad Bally, Lucia Caramellino

Journal of Stochastic Analysis

No abstract provided.


Integration By Parts Formula On Solutions To Stochastic Differential Equations With Jumps On Riemannian Manifolds, Hirotaka Kai, Atsushi Takeuchi 2021 Osaka City University, Osaka, 558-8585, Japan

Integration By Parts Formula On Solutions To Stochastic Differential Equations With Jumps On Riemannian Manifolds, Hirotaka Kai, Atsushi Takeuchi

Journal of Stochastic Analysis

No abstract provided.


On The Exponential Moments Of Additive Processes, Tsukasa Fujiwara 2021 Kwansei Gakuin University, Sanda, Hyogo 669-1337, Japan

On The Exponential Moments Of Additive Processes, Tsukasa Fujiwara

Journal of Stochastic Analysis

No abstract provided.


Ergodicity Of Burgers' System, Szymon Peszat, Krystyna Twardowska, Jerzy Zabczyk 2021 Jagiellonian University, Lojasiewicza 6, 30-348 Kraków, Poland

Ergodicity Of Burgers' System, Szymon Peszat, Krystyna Twardowska, Jerzy Zabczyk

Journal of Stochastic Analysis

No abstract provided.


Two Of Kunita's Papers On Stochastic Flows In Early 1980s, Setsuo Taniguchi 2021 Kyushu University, Fukuoka 819-0395, Japan

Two Of Kunita's Papers On Stochastic Flows In Early 1980s, Setsuo Taniguchi

Journal of Stochastic Analysis

No abstract provided.


Some Progress On Random Matrix Theory (Rmt), Feiying Yang 2021 Western University

Some Progress On Random Matrix Theory (Rmt), Feiying Yang

Undergraduate Student Research Internships Conference

This is a research report about Random Matrix Theory (RMT), which studies Gaussian Orthogonal Ensemble (GOE), Gaussian Unitary Ensemble (GUE) and Gaussian Symplectic Ensemble (GSE), the purpose is to prove Wigner’s semicircle law.


Error Estimates For Discrete Approximations Of Game Options With Multivariate Diffusion Asset Prices, Yuri Kifer 2021 The Hebrew University, Jerusalem 91904, Israel

Error Estimates For Discrete Approximations Of Game Options With Multivariate Diffusion Asset Prices, Yuri Kifer

Journal of Stochastic Analysis

No abstract provided.


Contemporary Mathematical Approaches To Computability Theory, Luis Guilherme Mazzali de Almeida 2021 Western University

Contemporary Mathematical Approaches To Computability Theory, Luis Guilherme Mazzali De Almeida

Undergraduate Student Research Internships Conference

In this paper, I present an introduction to computability theory and adopt contemporary mathematical definitions of computable numbers and computable functions to prove important theorems in computability theory. I start by exploring the history of computability theory, as well as Turing Machines, undecidability, partial recursive functions, computable numbers, and computable real functions. I then prove important theorems in computability theory, such that the computable numbers form a field and that the computable real functions are continuous.


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