On Vector-Valued Automorphic Forms On Bounded Symmetric Domains, 2017 The University of Western Ontario

#### On Vector-Valued Automorphic Forms On Bounded Symmetric Domains, Nadia Alluhaibi

*Electronic Thesis and Dissertation Repository*

The objective of the study is to investigate the behaviour of the inner products of vector-valued Poincare series, for large weight, associated to submanifolds of a quotient of the complex unit ball and how vector-valued automorphic forms could be constructed via Poincare series. In addition, it provides a proof of that vector-valued Poincare series on an irreducible bounded symmetric domain span the space of vector-valued automorphic forms.

Self-Interlacing Polynomials Ii: Matrices With Self-Interlacing Spectrum, 2017 Shanghai Jiaotong University

#### Self-Interlacing Polynomials Ii: Matrices With Self-Interlacing Spectrum, Mikhail Tyaglov

*Electronic Journal of Linear Algebra*

An $n\times n$ matrix is said to have a self-interlacing spectrum if its eigenvalues $\lambda_k$, $k=1,\ldots,n$, are distributed as follows: $$ \lambda_1>-\lambda_2>\lambda_3>\cdots>(-1)^{n-1}\lambda_n>0. $$ A method for constructing sign definite matrices with self-interlacing spectrum from totally nonnegative ones is presented. This method is applied to bidiagonal and tridiagonal matrices. In particular, a result by O. Holtz on the spectrum of real symmetric anti-bidiagonal matrices with positive nonzero entries is generalized.

Conformal Equivalence Of Visual Metrics In Pseudoconvex Domains, 2017 Worcester Polytechnic Institute

#### Conformal Equivalence Of Visual Metrics In Pseudoconvex Domains, Luca Capogna, Enrico Le Donne

*Mathematical Sciences Faculty Publications*

We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometries between smooth strongly pseudoconvex domains in $\C^n$ are conformal with respect to the sub-Riemannian metric induced by the Levi form. As a corollary we obtain an alternative proof of a result of Fefferman on smooth extensions of biholomorphic mappings between pseudoconvex domains. The proofs are inspired by Mostow's proof of his rigidity theorem and are based on the asymptotic hyperbolic character of the Kobayashi or Bergman metrics and on the Bonk-Schramm hyperbolic fillings.

Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, 2017 Indian Statistical Institute

#### Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta

*Communications on Stochastic Analysis*

No abstract provided.

On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, 2017 Dongbei University of Finance and Economics

#### On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo

*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, 2017 Université Mohamed I

#### 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.

On Constructing Some Membranes For A Symmetric Α-Stable Process, 2017 Vasyl Stefanyk Precarpathian National University

#### On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko

*Communications on Stochastic Analysis*

No abstract provided.

A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, 2017 Keio University

#### 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, 2017 University of Mannheim

#### Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski

*Communications on Stochastic Analysis*

No abstract provided.

Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, 2017 University of Toulouse III, Toulouse Institute of Mathematics UMR C5583, Toulouse, France

#### Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives

*Communications on Stochastic Analysis*

No abstract provided.

From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, 2017 Bar-Ilan University

#### From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev

*Journal of Humanistic Mathematics*

In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting “the definition” to the students as a monolithic absolute. We hope that our experiences could be useful to other instructors wishing to follow this method of instruction. A poll run at the conclusion of the course indicates that students tend to favor infinitesimal definitions over epsilon-delta ones.

Abel And Cauchy On A Rigorous Approach To Infinite Series, 2017 Ursinus College

#### Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch

*Analysis*

No abstract provided.

Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, 2017 Ursinus College

#### Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, Dave Ruch

*Analysis*

No abstract provided.

Euler's Rediscovery Of E With Instructor Notes, 2017 Ursinus College

#### Euler's Rediscovery Of E With Instructor Notes, Dave Ruch

*Analysis*

No abstract provided.

The Mean Value Theorem, 2017 Ursinus College

An Introduction To A Rigorous Definition Of Derivative, 2017 Ursinus College

#### An Introduction To A Rigorous Definition Of Derivative, Dave Ruch

*Analysis*

No abstract provided.

Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, 2017 Harrisburg University of Science and Technology

#### Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, Emily Wefelmeyer, Mary Beth Backus

*Other Student Works*

The idea that education in America is deteriorating is emotionally charged and controversial. While there is no disputing that education levels in the United States continue to rise, there is also a pervasive notion that this was accomplished by gradually reducing the readability level and general difficulty of textbooks. One tool often employed in the defense of education is the employment of readability indices in the evaluation of textbooks. There are a variety of these readability indices that serve the purpose of indicating a grade level for a particular piece of writing (Kinkaid, et. al., 1975). It’s relatively easy ...

Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, 2017 Tahar Moulay University of Saida, Algeria

#### Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci

*Communications on Stochastic Analysis*

No abstract provided.

Development And Analysis Of Volume Multi-Sphere Method Model Generation Using Electric Field Fitting, 2017 University of Colorado at Boulder

#### Development And Analysis Of Volume Multi-Sphere Method Model Generation Using Electric Field Fitting, Gabriel J. Ingram

*Aerospace Engineering Sciences Graduate Theses & Dissertations*

Electrostatic modeling of spacecraft has wide-reaching applications such as detumbling space debris in the Geosynchronous Earth Orbit regime before docking, servicing and tugging space debris to graveyard orbits, and Lorentz augmented orbits. The viability of electrostatic actuation control applications relies on faster-than-realtime characterization of the electrostatic interaction. The Volume Multi-Sphere Method (VMSM) seeks the optimal placement and radii of a small number of equipotential spheres to accurately model the electrostatic force and torque on a conducting space object. Current VMSM models tuned using force and torque comparisons with commercially available finite element software are subject to the modeled probe size ...

Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, 2017 Université Mohammed Premier

#### Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, Aissa Sghir, Mohamed A. Ouahra, Soufiane Moussaten

*Communications on Stochastic Analysis*

No abstract provided.