Enestr¨Om-Kakeya Type Results For Complex And Quaternionic Polynomials,
2023
East Tennessee State University
Enestr¨Om-Kakeya Type Results For Complex And Quaternionic Polynomials, Matthew Gladin
Electronic Theses and Dissertations
The well known Eneström-Kakeya Theorem states that: for P(z)=∑i=0n ai zi, a polynomial of degree n with real coefficients satisfying 0 ≤ a0 ≤ a1 ≤ ⋯≤ an, all zeros of P(z) lie in |z|≤1 in the complex plane. In this thesis, we will find inner and outer bounds in which the zeros of complex and quaternionic polynomials lie. We will do this by imposing restrictions on the real and imaginary parts, and on the moduli, of the complex and quaternionic coefficients. We also apply similar restrictions on complex polynomials with …
Optimal Control Problems For Stochastic Processes With Absorbing Regime,
2023
University of Connecticut, Storrs, CT 06269, USA
Optimal Control Problems For Stochastic Processes With Absorbing Regime, Yaacov Kopeliovich
Journal of Stochastic Analysis
No abstract provided.
Analytic Continuation Of Toeplitz Operators And Commuting Families Of C*-Algebras,
2023
Louisiana State University and Agricultural and Mechanical College
Analytic Continuation Of Toeplitz Operators And Commuting Families Of C*-Algebras, Khalid Bdarneh
LSU Doctoral Dissertations
In this thesis we consider the Toeplitz operators on the weighted Bergman spaces and their analytic continuation. We proved the commutativity of the $C^*-$algebras generated by the analytic continuation of Toeplitz operators with special class of symbols that are invariant under suitable subgroups of $SU(n,1)$, and we showed that commutative $C^*-$algebras with symbols invariant under compact subgroups of $SU(n,1)$ are completely characterized in terms of restriction to multiplicity free representations. Moreover, we extended the restriction principal to the analytic continuation case for suitable maximal abelian subgroups of the universal covering group $\widetilde{SU(n,1)}$, and we obtained the generalized Segal-Bargmann transform, where …
Modelling Illiquid Stocks Using Quantum Stochastic Calculus,
2023
Memorial University of Newfoundland, St Johns, NL A1C 5S7, Canada
Modelling Illiquid Stocks Using Quantum Stochastic Calculus, Will Hicks
Journal of Stochastic Analysis
No abstract provided.
Symmetric Functions Algebras I: Introduction And Basic Features,
2023
Southern Illinois University, Carbondale, Illinois 62901, USA
Symmetric Functions Algebras I: Introduction And Basic Features, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Random Variables With Overlapping Number And Weyl Algebras I,
2023
Missouri State University, Springfield, MO 65897, U.S.A.
Random Variables With Overlapping Number And Weyl Algebras I, Ruma Dutta, Gabriela Popa, Aurel Stan
Journal of Stochastic Analysis
No abstract provided.
Pricing Multi-Asset Contingent Claims In A Multi-Dimensional Binomial Market,
2023
University of Aberdeen, AB24 3UE Aberdeen, Scotland, UK
Pricing Multi-Asset Contingent Claims In A Multi-Dimensional Binomial Market, Jarek Kedra, Assaf Libman, Victoria Steblovskaya
Journal of Stochastic Analysis
No abstract provided.
The Malliavin-Stein Method For Normal Random Walks With Dependent Increments,
2023
University Melbourne, Parkville VIC 3010, Australia
The Malliavin-Stein Method For Normal Random Walks With Dependent Increments, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi
Journal of Stochastic Analysis
No abstract provided.
Runge-Kutta Methods For Rough Differential Equations,
2022
Martin Luther University Halle-Wittenberg, Institute of Mathematics, Theodor-Lieser-Str. 5, 06120 Halle (Saale), Germany
Runge-Kutta Methods For Rough Differential Equations, Martin Redmann, Sebastian Riedel
Journal of Stochastic Analysis
No abstract provided.
A Jump-Diffusion Process For Asset Price With Non-Independent Jumps,
2022
Hofstra University, Hempstead, NY 11549 USA
A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, Yihren Wu, Majnu John
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Monotone Poisson Central Limit Theorem,
2022
Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy
Quantization Of The Monotone Poisson Central Limit Theorem, Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
Applications Of A Superposed Ornstein-Uhlenbeck Type Processes,
2022
African Institute for Mathematical Sciences (AIMS), Cameroon
Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, Santatriniaina Avotra Randrianambinina, Julius Esunge
Journal of Stochastic Analysis
No abstract provided.
On The Diagonalizability And Factorizability Of Quadratic Boson Fields,
2022
Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy
On The Diagonalizability And Factorizability Of Quadratic Boson Fields, Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov
Journal of Stochastic Analysis
No abstract provided.
(R1885) Analytical And Numerical Solutions Of A Fractional-Order Mathematical Model Of Tumor Growth For Variable Killing Rate,
2022
Pandit Deendayal Energy University
(R1885) Analytical And Numerical Solutions Of A Fractional-Order Mathematical Model Of Tumor Growth For Variable Killing Rate, N. Singha, C. Nahak
Applications and Applied Mathematics: An International Journal (AAM)
This work intends to analyze the dynamics of the most aggressive form of brain tumor, glioblastomas, by following a fractional calculus approach. In describing memory preserving models, the non-local fractional derivatives not only deliver enhanced results but also acknowledge new avenues to be further explored. We suggest a mathematical model of fractional-order Burgess equation for new research perspectives of gliomas, which shall be interesting for biomedical and mathematical researchers. We replace the classical derivative with a non-integer derivative and attempt to retrieve the classical solution as a particular case. The prime motive is to acquire both analytical and numerical solutions …
The Degree Gini Index Of Several Classes Of Random Trees And Their Poissonized Counterparts—Evidence For Duality,
2022
The George Washington University, Washington, DC 20052, USA
The Degree Gini Index Of Several Classes Of Random Trees And Their Poissonized Counterparts—Evidence For Duality, Carly Domicolo, Panpan Zhang, Hosam Mahmoud
Journal of Stochastic Analysis
No abstract provided.
A Sharp Rate Of Convergence In The Functional Central Limit Theorem With Gaussian Input,
2022
University of Southern California, Los Angeles, CA 90089, USA
A Sharp Rate Of Convergence In The Functional Central Limit Theorem With Gaussian Input, S.V. Lototsky
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Free Poisson Central Limit Theorem,
2022
Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy
Quantization Of The Free Poisson Central Limit Theorem, Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Boolean Poisson Central Limit Theorem And A Generalized Boolean Bernoulli Sequence,
2022
Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy
Quantization Of The Boolean Poisson Central Limit Theorem And A Generalized Boolean Bernoulli Sequence, Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
A First-Passage Problem For Exponential Integrated Diffusion Processes,
2022
Polytechnique Montréal, Montréal, Québec H3C 3A7, Canada
A First-Passage Problem For Exponential Integrated Diffusion Processes, Mario Lefebvre
Journal of Stochastic Analysis
No abstract provided.
Introduction To Mathematical Analysis I - 3rd Edition,
2022
Portland State University
Introduction To Mathematical Analysis I - 3rd Edition, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen
PDXOpen: Open Educational Resources
Video lectures explaining problem solving strategies are available
Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. In addition, the notes include many carefully selected exercises of various levels …
