Christopher Phelps — Young Sidney Hook: Marxist and Pragmatist

Asymptotics of Young Diagrams and Hook Numbers

Asymptotic calculations are applied to study the degrees of certain sequences of characters of symmetric groups. Starting with a given partition μ, we deduce several skew diagrams which are related to μ. To each such skew diagram there corresponds the product of its hook numbers. By asymptotic methods we obtain some unexpected arithmetic properties between these products. The authors do not kno...

Vicious Walkers and Hook Young Tableaux

We consider a generalization of the vicious walker model. Using a bijection map between the path configuration of the non-intersecting random walkers and the hook Young diagram, we compute the probability concerning the number of walker’s movements. Applying the saddle point method, we reveal that the scaling limit gives the Tracy–Widom distribution, which is same with the limit distribution of...

Pragmatist and Non-pragmatist Knowledge Practices in American Law

On Hegel and the Rise of Social Theory: A Critical Appreciation of Herbert Marcuse's Reason and Revolution, Fifty Years Later

Marcuse's Reason and Revolution was the first Hegelian Marxist text to appear in English, the first systematic study of Hegel by a Marxist, and the first work in English to discuss the young Marx seriously. It introduced Hegelian and Marxist concepts such as alienation, subjectivity, negativity, and the Frankfurt School's critique of positivism to a wide audience in the United States. When the ...

Hook Lengths in a Skew Young Diagram

Regev and Vershik (Electronic J. Combinatorics 4 (1997), #R22) have obtained some properties of the set of hook lengths for certain skew Young diagrams, using asymptotic calculations of character degrees. They also conjectured a stronger form of one of their results. We give a simple inductive proof of this conjecture. Very recently, Regev and Zeilberger (Annals of Combinatorics, to appear) hav...