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This volume convenes selected, peer-reviewed research and survey articles that address the modern state-of-the-art in varied areas of applied mathematical analysis. They primarily include presentations as well as invited contributions for the 1st Southern Georgia Mathematics Conference (SGMC) that was virtually held on April 2-3, 2021 at the Georgia Southern University, Statesboro, USA. Papers in this volume incorporate both advanced theory and methods from mathematical analysis, and cover myriad topics like imaging and inverse problems, evolutionary PDEs, symbolic computation, dynamics and data analysis, data science, computational mathematics, and more. This first volume focuses on mathematical analysis theory and applications.
These studies and findings contained herein will be of interest to researchers and graduate students working in the fields of mathematical analysis, modeling, data analysis and computation, with applications in many interdisciplinary applied sciences, as in statistics, physics, biology, and medical imaging. They are particularly relevant to those at the forefront of applied mathematical and statistical analysis, as well as data science and other computational science disciplines.
In its first edition, the Southern Georgia Mathematics Conference brought together 74 speakers from 70 different institutions, from the USA, Canada, Austria, and Botswana. Attendees included faculty, researchers, experts, graduate and undergraduate students from all over the world.
List of contents
Characterization of Carleson measures via spectral estimates on compact manifolds with boundary.- Perturbed Fourier transform associated with Schrodinger Operators.- Explicit lump and line rogue wave solutions to a modified Hietarinta equation.- Applying the maximum entropy technique to the Gaussian dispersion plume model.- Time Asymptotic Behavior of Solutions to a Chemotaxis Model with Logarithmic Singularity.- Classical solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell.- Divisibility arising from addition.- Using words to construct and enumerate maximum nonattacking chessboard arrangements.- A Refinement of the Multinomial Distribution with Application.- The Generalized Laws of Total Variance and Total Covariance.- Ansatz in a Nutshell: A comprehensive step-by-step guide to polynomial, C-finite, holonomic, and C2-finite sequences.- The Exponentiated Half Logistic- Weibull Topp Leone-G Family of Distributions.- Statistical analysis of a new Markov chain model for rumor dynamics in heterogeneous complex social networks.- Dynamics of Amensalism, Mutualism, and Predation in a Three Species Complex Ecosystem.
