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For topological dynamical systems $(X,T,σ)$ with abelian group $T$ which admit an equicontinuous factor $π:(X,T,σ)\to (Y,T,δ)$ the Ellis semigroup $E(X)$ is an extension of $Y$ by its subsemigroup...

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Its been pretty quiet since that flurry of commitments early this year. After feeling like things were on the brink at years end Smith has since rallied back some of his 2025 HS recruits, put together...

It is shown that the Ellis semigroup of a $\mathbb Z$-action on a compact totally disconnected space is completely regular if and only if forward proximality coincides with forward asymptoticity and b...

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We prove that a balanced Boolean function on $S_{n}$ whose Fourier transform is highly concentrated on the first two irreducible representations of $S_{n}$, is close in structure to a dictatorship, a ...

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"Concurrence topology" (Ellis and Klein \emph{Homology, Homotopy, and Applications,} \textbf{16}) is a TDA method for binary data. The idea is to construct a filtration consisting of Dowker complexes ...

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Erdős-Ko-Rado (EKR) type theorems yield upper bounds on the sizes of families of sets, subject to various intersection requirements on the sets in the family. Stability versions of such theorems asse...

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The first chapter treats the Standard Model of particle physics and electroweak symmetry breaking. Low-energy supersymmetry and its phenomenology at future colliders are discussed in the second chapte...

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These notes cover (i) electroweak symmetry breaking in the Standard Model (SM) and the Higgs boson, (ii) alternatives to the SM Higgs boson including an introduction to composite Higgs models and Higg...

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The causal closure of physics is usually discussed in a context free way. Here I discuss it in the context of engineering systems and biology, where strong emergence takes place due to a combination o...

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A summary is given of the current status of the next-to-leading order (NLO) parton-level integrator MCFM. Some details are given about the Higgs + 2-jet process and the production and decay of $t \bar...

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Shortened abstract: Microcanonical equilibrium macrostates are characterized as the solutions of a constrained minimization problem, while canonical equilibrium macrostates are characterized as the so...