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The motivic anabelian geometry of local heights on abelian varieties
We study the problem of describing local components of Néron-Tate height functions on abelian varieties over characteristic 0 local fields as functions on spaces of torsors under various realisations of the 2-step unipotent motivic fundamental group of the Gm-torsor corresponding to the defining line bundle.
Uploaded March 2025
Uploaded March 2025
The further chameleon groups of Richard Thompson and Graham Higman: Automorphisms via dynamics for the Higman-Thompson groups Gn,r
We describe, through the use of Rubin's theorem, the automorphism groups of the Higman-Thompson groups Gn,r as groups of specific homeomorphisms of Cantor spaces Cn,r. This continues a thread of research begun by Brin, and extended later by Brin and Guzmán: to characterise the automorphism groups of the 'Chameleon groups of Richard Thompson,' as Brin referred to them in 1996.
Uploaded March 2025
Uploaded March 2025
Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension
We construct Markov partitions for non-invertible and/or singular nonuniformly hyperbolic systems defined on higher dimensional Riemannian manifolds. The generality of the setup covers classical examples not treated so far, such as geodesic flows in closed manifolds, multidimensional billiard maps, and Viana maps, and includes all the recent results of the literature. We also provide a wealth of applications.
Uploaded March 2025
Uploaded March 2025
Statistical design and analysis of experiments
Statistical Design and Analysis of Experiments embraces a holistic approach by building a solid foundation of the theoretical aspects followed by easily relatable numerical examples. Examples are first worked out manually and explained step-by-step, after which the statistical software Minitab is demonstrated throughout the textbook.
Upload March 2025
Upload March 2025
Semitoric families
Semitoric systems are a type of four-dimensional integrable system for which one of the integrals generates a global S¹-action; these systems were classified by Pelayo and Vũ Ngọc in terms of five symplectic invariants. We introduce and study semitoric families, which are one-parameter families of integrable systems with a fixed S¹-action that are semitoric for all but finitely many values of the parameter, with the goal of developing a strategy to find a semitoric system associated to a given partial list of semitoric invariants.
Uploaded March 2025
Uploaded March 2025
Regularity with respect to the parameter of Lyapunov exponents for diffeomorphisms with dominated splitting
We consider families of diffeomorphisms with dominated splittings and preserving a Borel probability measure, and we study the regularity of the Lyapunov exponents associated to the invariant bundles with respect to the parameter.
Uploaded March 2025
Uploaded March 2025
Prandtl-Meyer reflection configurations, transonic shocks, and free boundary problems
We are concerned with the Prandtl-Meyer reflection configurations of unsteady global solutions for supersonic flow impinging upon a symmetric solid wedge. Prandtl (1936) first employed the shock polar analysis to show that there are two possible steady configurations: the steady weak and strong shock solutions.
Uploaded March 2025
Uploaded March 2025
Pointwise convergence of noncommutative fourier series
This paper is devoted to the study of pointwise convergence of Fourier series for group von Neumann algebras and quantum groups. It is well-known that a number of approximation properties of groups can be interpreted as summation methods and mean convergence of the associated noncommutative Fourier series.
Uploaded March 2025
Uploaded March 2025
On the size of the singular set of minimizing harmonic maps
We consider minimizing harmonic maps u from Ω ⊂ Rn into a closed Riemannian manifold N and prove: (1) an extension to n ≥ 4 of Almgren and Lieb’s linear law. That is, if the fundamental group of the target manifold N is finite, we have.
On the nodal set of solutions to a class of nonlocal parabolic equations
We investigate the local properties, including the nodal set and the nodal properties of solutions to a parabolic problem of Muckenhoupt-Neumann type.
Uploaded March 2025
Uploaded March 2025
Paul Robbins
Mathematical Sciences, Statistics, and Construction Management Librarian
paul_robbins@byu.edu
paul_robbins@byu.edu