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.

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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.

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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

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.

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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.

We investigate the local properties, including the nodal set and the nodal properties of solutions to a parabolic problem of Muckenhoupt-Neumann type.

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We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system. We specifically study high friction regimes, which take into account the fact that particles of the dispersed phase are light (resp. small) compared to the fluid part, and lead to the derivation of Transport-Navier-Stokes (resp. Inhomogenous Navier-Stokes) systems.

Uploaded March 2025

We introduce coordinates on the spaces of framed and decorated representations of the fundamental group of a surface with nonempty boundary into the symplectic group Sp(2n, R). These coordinates provide a noncommutative generalization of the parametrizations of the spaces of representations into SL(2, R) or PSL(2, R) given by Thurston, Penner, Kashaev and Fock–Goncharov.

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Max Dehn (1878-1952) is known to mathematicians today for his seminal contributions to geometry and topology-Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert's famous problems.

Uploaded March 2025