On A Stochastic 2d Simplified Liquid Crystal Model Driven By Jump Noise, 2018 Department Mathematics and Statistics, Florida International University, MMC, Miami, FL, 33199, USA

#### On A Stochastic 2d Simplified Liquid Crystal Model Driven By Jump Noise, T. Tachim Medjo

*Communications on Stochastic Analysis*

No abstract provided.

Non-Continuous Double Barrier Reflected Bsdes With Jumps Under A Stochastic Lipschitz Coefficient, 2018 Laboratory of Analysis and Applied Mathematics (LAMA), Faculty of sciences Agadir, Ibn Zohr University, Morocco

#### Non-Continuous Double Barrier Reflected Bsdes With Jumps Under A Stochastic Lipschitz Coefficient, Mohamed Marzougue, Mohamed El Otmani

*Communications on Stochastic Analysis*

No abstract provided.

Generalized Random Fields And Lévy's Continuity Theorem On The Space Of Tempered Distributions, 2018 Laboratoire de Mathématiques et Applications UMR CNRS 7348, Université de Poitiers, Boulevard Marie et Pierre Curie 86962 Futuroscope Chasseneuil Cedex, France

#### Generalized Random Fields And Lévy's Continuity Theorem On The Space Of Tempered Distributions, Hermine Biermé, Olivier Durieu, Yizao Wang

*Communications on Stochastic Analysis*

No abstract provided.

Stochastic Differential Equations With Anticipating Initial Conditions, 2018 Louisiana State University, Baton Rouge, USA

#### Stochastic Differential Equations With Anticipating Initial Conditions, Hui-Hsiung Kuo, Sudip Sinha, Jiayu Zhai

*Communications on Stochastic Analysis*

No abstract provided.

Exploring Flag Matroids And Duality, 2018 California State University, San Bernardino

#### Exploring Flag Matroids And Duality, Zachary Garcia

*Electronic Theses, Projects, and Dissertations*

Matroids capture an abstraction of independence in mathematics, and in doing so, connect discrete mathematical structures that arise in a variety of contexts. A matroid can be defined in several cryptomorphic ways depending on which perspective of a matroid is most applicable to the given context. Among the many important concepts in matroid theory, the concept of matroid duality provides a powerful tool when addressing difficult problems. The usefulness of matroid duality stems from the fact that the dual of a matroid is itself a matroid. In this thesis, we explore a matroid-like object called a flag matroid. In particular ...

Commutators Involving Matrix Functions, 2018 P.h.D student

#### Commutators Involving Matrix Functions, Osman Kan, Süleyman Solak

*Electronic Journal of Linear Algebra*

Some results are obtained for matrix commutators involving matrix exponentials $\left(\left[e^{A},B\right],\left[e^{A},e^{B}\right]\right)$ and their norms.

Determinants Of Interval Matrices, 2018 Charles University, Prague, Czech Republic

#### Determinants Of Interval Matrices, Jaroslav Horáček, Milan Hladík, Josef Matějka

*Electronic Journal of Linear Algebra*

In this paper we shed more light on determinants of real interval matrices. Computing the exact bounds on a determinant of an interval matrix is an NP-hard problem. Therefore, attention is first paid to approximations. NP-hardness of both relative and absolute approximation is proved. Next, methods computing verified enclosures of interval determinants and their possible combination with preconditioning are discussed. A new method based on Cramer's rule was designed. It returns similar results to the state-of-the-art method, however, it is less consuming regarding computational time. Other methods transferable from real matrices (e.g., the Gerschgorin circles, Hadamard's inequality ...

A Complete Characterization Of Near Outer-Planar Graphs, 2018 Louisiana Tech University

#### A Complete Characterization Of Near Outer-Planar Graphs, Tanya Allen Lueder Genannt Luehr

*Doctoral Dissertations*

A graph is outer-planar (OP) if it has a plane embedding in which all of the vertices lie on the boundary of the outer face. A graph is near outer-planar (NOP) if it is edgeless or has an edge whose deletion results in an outer-planar graph. An edge of a non outer-planar graph whose removal results in an outer-planar graph is a vulnerable edge. This dissertation focuses on near outer-planar (NOP) graphs. We describe the class of all such graphs in terms of a ﬁnite list of excluded graphs, in a manner similar to the well-known Kuratowski Theorem for planar ...

Partial Sum Trigonometric Identities And Chebyshev Polynomials, 2018 Colorado Mesa University

#### Partial Sum Trigonometric Identities And Chebyshev Polynomials, Sarah Weller

*Rose-Hulman Undergraduate Mathematics Journal*

Using Euler’s theorem, geometric sums and Chebyshev polynomials, we prove trigonometric identities involving sums and multiplications of cosine.

About A Non-Standard Interpolation Problem, 2018 Chapman University

#### About A Non-Standard Interpolation Problem, Daniel Alpay, Alain Yger

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.

Color Space Standardization And Image Analysis For High-Throughput Phenotyping Of Sorghum Bicolor, 2018 Department of Mathematics, Illinois State University

#### Color Space Standardization And Image Analysis For High-Throughput Phenotyping Of Sorghum Bicolor, Alexandria A. Pokorny

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Predicted Deepwater Bathymetry From Satellite Altimetry: Non-Fourier Transform Alternatives, 2018 The University of Southern Mississippi

#### Predicted Deepwater Bathymetry From Satellite Altimetry: Non-Fourier Transform Alternatives, Maxsimo Salazar

*Dissertations*

Robert Parker (1972) demonstrated the effectiveness of Fourier Transforms (FT) to compute gravitational potential anomalies caused by uneven, non-uniform layers of material. This important calculation relates the gravitational potential anomaly to sea-floor topography. As outlined by Sandwell and Smith (1997), a six-step procedure, utilizing the FT, then demonstrated how satellite altimetry measurements of marine geoid height are inverted into seafloor topography. However, FTs are not local in space and produce Gibb’s phenomenon around discontinuities. Seafloor features exhibit spatial locality and features such as seamounts and ridges often have sharp inclines. Initial tests compared the windowed-FT to wavelets in reconstruction ...

Celebration Of Mind Puzzle-Game, 2018 Butler University

#### Celebration Of Mind Puzzle-Game, Jeremiah Farrell

*Scholarship and Professional Work - LAS*

Each different letter of "Celebration of Mind" is used exactly three times in the following words: ACE, BAM, BID, BLT (the sandwich), CON, FEN, FIT, MIC (microphone or 1099), OLD, RAN, ELM, RFD (rural free delivery), ROT.

Nonlocal Diffusions And The Quantum Black-Scholes Equation: Modelling The Market Fear Factor, 2018 Investec Bank PLC, 30 Gresham Street, London EC2V 7QP, United Kingdom

#### Nonlocal Diffusions And The Quantum Black-Scholes Equation: Modelling The Market Fear Factor, Will Hicks

*Communications on Stochastic Analysis*

No abstract provided.

Reversibility Checking For Markov Chains, 2018 University of Windsor, Windsor, Ontario

#### Reversibility Checking For Markov Chains, P. H. Brill, Chi Ho Cheung, Myron Hlynka, Q. Jiang

*Communications on Stochastic Analysis*

No abstract provided.

Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule, 2018 University of Mannheim, Germany

#### Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule, Stefan Koch

*Communications on Stochastic Analysis*

No abstract provided.

Parametric Family Of Sdes Driven By Lévy Noise, 2018 Indian Institute of Technology Kanpur, India

#### Parametric Family Of Sdes Driven By Lévy Noise, Suprio Bhar, Barun Sarkar

*Communications on Stochastic Analysis*

No abstract provided.

A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian, 2018 Mitsubishi Electric Mechatronics Software Corporation, Nagoya, Japan

#### A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian, Atsushi Ishikawa

*Communications on Stochastic Analysis*

No abstract provided.

An Asymptotic Comparison Of Two Time-Homogeneous Pam Models, 2018 University of Southern California, Los Angeles, California USA

#### An Asymptotic Comparison Of Two Time-Homogeneous Pam Models, Hyun-Jung Kim, Sergey Vladimir Lototsky

*Communications on Stochastic Analysis*

No abstract provided.

A Stochastic Integral By A Near-Martingale, 2018 Meijo University, Tenpaku,Nagoya, Japan

#### A Stochastic Integral By A Near-Martingale, Shinya Hibino, Hui-Hsiung Kuo, Kimiaki Saitô

*Communications on Stochastic Analysis*

No abstract provided.