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- F. KIRWAN, P. SARNAK, +4 authors Filippo Tolli
- 2010

The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the… (More)

- Fabio Scarabotti
- Eur. J. Comb.
- 2002

Recently, several papers have been devoted to the analysis of lamplighter random walks, in particular when the underlying graph is the infinite path Z. In the present paper, we develop a spectral analysis for lamplighter random walks on finite graphs. In the general case, we use the C2-symmetry to reduce the spectral computations to a series of eigenvalue… (More)

- Fabio Scarabotti
- SIAM J. Discrete Math.
- 2003

- Fabio Scarabotti
- SIAM J. Discrete Math.
- 2005

- Tullio Ceccherini-Silberstein, Antonio Machi, Fabio Scarabotti
- Theor. Comput. Sci.
- 2003

Let L be an irreducible regular language. Let W be a non-empty set of words (or sub-words) of L and denote by L = {v∈ L:w ❁ v; ∀w∈W} the language obtained from L by forbidding all the words w in W . Then the entropy decreases strictly: ent(L )¡ ent(L). In this note we present a new proof of this fact, based on a method of Gromov, which avoids the Perron–… (More)

- Fabio Scarabotti
- 2008

We generalize a construction of Dunkl, obtaining a wide class intertwining functions on the symmetric group and a related family of multidimensional Hahn polynomials. Following a suggestion of Vilenkin and Klymik, we develop a tree-method approach for those intertwining functions. We also give a group theoretic proof of the relation between Hahn polynomials… (More)

- Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
- Eur. J. Comb.
- 2004

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