Principles of Statistics for Engineers and Scientists emphasizes statistical methods and how they can be applied to problems in science and engineering. The book contains many examples that feature real, contemporary data sets, both to motivate students and to show connections to industry and scientific research.

Uploaded March 2025

Explores the mathematical framework of Finsler geometry, particularly in relation to Zermelo’s navigation problem and its applications in spacetime physics. It connects wind-Finsler structures with general relativity, analyzing how anisotropic geometries influence causality and optimal navigation in curved spaces. Through a blend of differential geometry and physics, the authors provide insights into the role of Finslerian metrics in describing spacetimes with nontrivial causal and navigational properties.

Uploaded March 2025

In this paper we study second order master equations arising from mean field games with common noise over arbitrary time duration. A classical solution typically requires the monotonicity condition (or small time duration) and sufficiently smooth data. While keeping the monotonicity condition, our goal is to relax the regularity of the data, which is an open problem in the literature. In particular, we do not require any differentiability in terms of the measures, which prevents us from obtaining classical solutions.

Uploaded March 2025

Topological periodic cyclic homology (i.e. T-Tate fixed points of THH) has the structure of a strong symmetric monoidal functor of smooth and proer dg categories over a perfect field of finite characteristic.

Uploaded March 2025

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

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

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

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.

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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

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