The second edition of Time Series: A Biostatistical Introduction is an introductory account of time series analysis, written from the perspective of applied statisticians whose interests lie primarily in the biomedical and health sciences. This edition has a stronger focus on substantive applications, in which each statistical analysis is directed at a specific research question. Separate chapters cover simple descriptive methods of analysis, including time-plots, smoothing, the correlogram and the periodogram; theory of stationary random processes; discrete-time models for single series; continuous-time models for single series; generalized linear models for time series of counts; models for replicated series; spectral analysis, and bivariate time series.

Uploaded October 2025

This book develops a framework to analyze algorithmic aspects of discrete choice models in convex optimization. The central aspect is to derive new prox-functions from discrete choice surplus functions, which are then incorporated into convex optimization schemes. The book provides further economic applications of discrete choice prox-functions within the context of convex optimization such as network manipulation based on alternating minimization and dynamic pricing for online marketplaces.

Uploaded October 2025

Marcel Danesi revisits all fifty-three problems in Alcuin's original text, providing detailed solutions and analyses. Alcuin's Recreational Mathematics examines the problems in the Propositiones in easy-to-follow language, extracting from them the notions and techniques that today constitute basic mathematics. Each chapter discusses Alcuin's problems more broadly, and ends with ten exploratory puzzles based on Alcuin's original problems and related themes.

Uploaded October 2025

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