Perturbation - For Nature Computes On A Straight Line (In Seven Balancing Acts), 2022 Claremont Colleges
Perturbation - For Nature Computes On A Straight Line (In Seven Balancing Acts), Vijay Fafat
Journal of Humanistic Mathematics
What if all of our Reality is a simulation? What, perhaps, are the unintended artifacts if we are an "approximate" simulation because God could not muster sufficient computational power for the Equations capturing the ultimate Theory of Everything? Are life and Sentience something She intended, a problem with the simulation's code, or an irreducible, teleological inevitability in Creation?
The Construction And Estimation Of Hidden Semi-Markov Models, 2022 University of Sulaimani, Sulaymaniyah, Iraq
The Construction And Estimation Of Hidden Semi-Markov Models, Kurdstan Abdullah, John Van Der Hoek
Journal of Stochastic Analysis
No abstract provided.
Random Walks In The Quarter Plane: Solvable Models With An Analytical Approach, 2022 DePaul University
Random Walks In The Quarter Plane: Solvable Models With An Analytical Approach, Harshita Bali, Enrico Au-Yeung
DePaul Discoveries
Initially, an urn contains 3 blue balls and 1 red ball. A ball is randomly chosen from the urn. The ball is returned to the urn, together with one additional ball of the same type (red or blue). When the urn has twenty balls in it, what is the probability that exactly ten balls are blue? This is a model for a random process. This urn model has been extended in various ways and we consider some of these generalizations. Urn models can be formulated as random walks in the quarter plane. Our findings indicate that for a specific type …
Propuestas Y Resultados De Investigación Transmoderna, Translocal Y Digital Desde Jóvenes Semilleristas, 2022 Universidad de Cundinamarca
Propuestas Y Resultados De Investigación Transmoderna, Translocal Y Digital Desde Jóvenes Semilleristas, Xiomara Gonzalez Gaitan
Institucional
En el presente libro intitulado Propuestas y resultados de investigación transmoderna, translocal y digital desde jóvenes semilleristas, se encuentran compilados las propuestas, avances y resultados de los proyectos en curso de los Semilleros de Investigación de la Universidad de Cundinamarca, Colombia, que se presentaron en el “II encuentro de semilleros de investigación: ciencia, tecnología e innovación en la era digital” en su versión 2020. Hacemos la labor de publicar estos proyectos con la intensión de difundir el conocimiento y como muestra del esfuerzo y alcance de la labor investigativa de los semilleristas de la Universidad de Cundinamarca. Esperamos que lo …
The Thermodynamics Of A Stochastic Geometry Model With Applications To Non-Extensive Statistics, 2022 University of Mazandaran, Babolsar, Iran
The Thermodynamics Of A Stochastic Geometry Model With Applications To Non-Extensive Statistics, O.K. Kazemi, A. Pourdarvish, J. Sadeghi
Journal of Stochastic Analysis
No abstract provided.
Quantization Of The Poisson Type Central Limit Theorem (1), 2022 Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy
Quantization Of The Poisson Type Central Limit Theorem (1), Yungang Lu
Journal of Stochastic Analysis
No abstract provided.
Commutative C*-Algebras Generated By Toeplitz Operators On The Fock Space, 2022 Louisiana State University and Agricultural and Mechanical College
Commutative C*-Algebras Generated By Toeplitz Operators On The Fock Space, Vishwa Nirmika Dewage
LSU Doctoral Dissertations
The Fock space $\mathcal{F}(\mathbb{C}^n)$ is the space of holomorphic functions on $\mathbb{C}^n$ that are square-integrable with respect to the Gaussian measure on $\mathbb{C}^n$. This space plays an essential role in several subfields of analysis and representation theory. In particular, it has for a long time been a model to study Toeplitz operators. Grudsky and Vasilevski showed in 2002 that radial Toeplitz operators on $\mathcal{F}(\mathbb{C})$ generate a commutative $C^*$-algebra $\mathcal{T}^G$, while Esmeral and Maximenko showed that $C^*$-algebra $\mathcal{T}^G$ is isometrically isomorphic to the $C^*$-algebra $C_{b,u}(\mathbb{N}_0,\rho_1)$. In this thesis, we extend the result to $k$-quasi-radial symbols acting on the Fock space $\mathcal{F}(\mathbb{C}^n)$. …
A Closed Form Formula For The Stochastic Exponential Of A Matrix-Valued Semimartingale, 2022 Heinrich Heine University, Düsseldorf, Germany
A Closed Form Formula For The Stochastic Exponential Of A Matrix-Valued Semimartingale, Peter Kern, Christian Müller
Journal of Stochastic Analysis
No abstract provided.
Understanding Compactness Through Primary Sources: Early Work Uniform Continuity To The Heine-Borel Theorem, 2022 Ursinus College
Understanding Compactness Through Primary Sources: Early Work Uniform Continuity To The Heine-Borel Theorem, Naveen Somasunderam
Analysis
No abstract provided.
An Optimal Transportation Theory For Interacting Paths, 2022 University of Massachusetts Amherst
An Optimal Transportation Theory For Interacting Paths, Rene Cabrera
Doctoral Dissertations
In this work we study a modification of the Monge-Kantorovich problem taking into account path dependence and interaction effects between particles. We prove existence of solutions under mild conditions on the data, and after imposing stronger conditions, we characterize the minimizers by relating them to an auxiliary Monge-Kantorovich problem of the more standard kind. With this notion of how particles interact and travel along paths, we produce a dual problem. The main novelty here is to incorporate an interaction effect to the optimal path transport problem. This covers for instance, N-body dynamics when the underlying measures are discrete. Lastly, …
Analogue Of The Mittag-Leffler Theorem For A(Z)-Analytic Functions, 2022 National University of Uzbekistan, Tashkent, Uzbekistan
Analogue Of The Mittag-Leffler Theorem For A(Z)-Analytic Functions, Muhayyo Ne'matillayeva
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
We consider A(z)-analytic functions in case when A(z) is antiholomorphic function. For A(z)-analytic functions analog of the Mittag-Leffler theorem is proved.
Existence Of Boundary Values Of Hardy Class Functions H1A, 2022 Belorussian-Uzbek joint intersectoral institute of applied technical qualifications in Tashkent, Tashkent, Uzbekistan
Existence Of Boundary Values Of Hardy Class Functions H1A, Nasridin Zhabborov, Shokhruh Khursanov, Behzod Husenov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
We consider A(z)-analytic functions in case when A(z) is antianalytic function. In this paper, the Hardy class for A(z)-analytic functions are introduced and for these classes, the boundary values of the function are investigated. For the Hardy class of functions H1A, an analogue of Fatou's theorem was proved about that the bounded functions have the boundary values. As the main result, the boundary uniqueness theorem for Hardy classes of functions H1A is proven.
Strongly M-Subharmonic Functions On Complex Manifolds, 2022 National University of Uzbekistan, Tashkent, Uzbekistan
Strongly M-Subharmonic Functions On Complex Manifolds, Sukrotbek Kurbonboyev
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
This article is devoted to the definition and study of strongly m-subharmonic (shm) functions on complex manifolds. A definition of strongly m-subharmonic functions on a Stein manifold is introduced and some basic properties are proven.
Self-Repelling Elastic Manifolds With Low Dimensional Range, 2022 University of Rochester, Rochester, NY 14627, USA
Self-Repelling Elastic Manifolds With Low Dimensional Range, Carl Mueller, Eyal Neumann
Journal of Stochastic Analysis
No abstract provided.
Induced Matrices: Recurrences And Markov Chains, 2022 Southern Illinois University, Carbondale, Illinois 62901, USA
Induced Matrices: Recurrences And Markov Chains, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Unomaha Problem Of The Week (2021-2022 Edition), 2022 University of Nebraska at Omaha
Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs
UNO Student Research and Creative Activity Fair
The University of Omaha math department's Problem of the Week was taken over in Fall 2019 from faculty by the authors. The structure: each semester (Fall and Spring), three problems are given per week for twelve weeks, with each problem worth ten points - mimicking the structure of arguably the most well-regarded university math competition around, the Putnam Competition, with prizes awarded to top-scorers at semester's end. The weekly competition was halted midway through Spring 2020 due to COVID-19, but relaunched again in Fall 2021, with massive changes.
Now there are three difficulty tiers to POW problems, roughly corresponding to …
Exploring The Numerical Range Of Block Toeplitz Operators, 2022 California Polytechnic State University, San Luis Obispo
Exploring The Numerical Range Of Block Toeplitz Operators, Brooke Randell
Master's Theses
We will explore the numerical range of the block Toeplitz operator with symbol function \(\phi(z)=A_0+zA_1\), where \(A_0, A_1 \in M_2(\mathbb{C})\). A full characterization of the numerical range of this operator proves to be quite difficult and so we will focus on characterizing the boundary of the related set, \(\{W(A_0+zA_1) : z \in \partial \mathbb{D}\}\), in a specific case. We will use the theory of envelopes to explore what the boundary looks like and we will use geometric arguments to explore the number of flat portions on the boundary. We will then make a conjecture as to the number of flat …
On The Numerical Range Of Compact Operators, 2022 California Polytechnic State University, San Luis Obispo
On The Numerical Range Of Compact Operators, Montserrat Dabkowski
Master's Theses
One of the many characterizations of compact operators is as linear operators which
can be closely approximated by bounded finite rank operators (theorem 25). It is
well known that the numerical range of a bounded operator on a finite dimensional
Hilbert space is closed (theorem 54). In this thesis we explore how close to being
closed the numerical range of a compact operator is (theorem 56). We also describe
how limited the difference between the closure and the numerical range of a compact
operator can be (theorem 58). To aid in our exploration of the numerical range of
a compact …
(R1517) Asymptotical Stability Of Riemann-Liouville Fractional Neutral Systems With Multiple Time-Varying Delays, 2022 Muş Alparslan University
(R1517) Asymptotical Stability Of Riemann-Liouville Fractional Neutral Systems With Multiple Time-Varying Delays, Erdal Korkmaz, Abdulhamit Ozdemir
Applications and Applied Mathematics: An International Journal (AAM)
In this manuscript, we investigate the asymptotical stability of solutions of Riemann-Liouville fractional neutral systems associated to multiple time-varying delays. Then, we use the linear matrix inequality (LMI) and the Lyapunov-Krasovskii method to obtain sufficient conditions for the asymptotical stability of solutions of the system when the given delays are time dependent and one of them is unbounded. Finally, we present some examples to indicate the efficacy of the consequences obtained.
(R1521) On Weighted Lacunary Interpolation, 2022 University of Lucknow
(R1521) On Weighted Lacunary Interpolation, Swarnima Bahadur, Sariya Bano
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we considered the non-uniformly distributed zeros on the unit circle, which are obtained by projecting vertically the zeros of the derivative of Legendre polynomial together with x=1 and x=-1 onto the unit circle. We prescribed the function on the above said nodes, while its second derivative at all nodes except at x=1 and x=-1 with suitable weight function and obtained the existence, explicit forms and establish a convergence theorem for such interpolatory polynomial. We call such interpolation as weighted Lacunary interpolation on the unit circle.