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Scarabotti, Fabio

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Author ID: scarabotti.fabio Recent zbMATH articles by "Scarabotti, Fabio"
Published as: Scarabotti, F.; Scarabotti, Fabio
External Links: MGP
Documents Indexed: 45 Publications since 1991, including 5 Books
Reviewing Activity: 53 Reviews

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 278 times in 172 Documents Cited by Year
Harmonic analysis on finite groups. Representation theory, Gelfand pairs and Markov chains. Zbl 1149.43001
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
47
2008
Representation theory of the symmetric groups. The Okounkov-Vershik approach, character formulas, and partition algebras. Zbl 1230.20002
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
34
2010
Amenable groups and cellular automata. Zbl 0920.43001
Ceccherini-Silberstein, Tullio G.; Machì, Antonio; Scarabotti, Fabio
27
1999
Finite Gel’fand pairs and their applications to probability and statistics. Zbl 1173.43001
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
17
2007
Trees, wreath products and finite Gelfand pairs. Zbl 1106.43006
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
17
2006
Representation theory and harmonic analysis of wreath products of finite groups. Zbl 1318.20007
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
10
2014
Harmonic analysis on a finite homogeneous space. Zbl 1189.43008
Scarabotti, Fabio; Tolli, Filippo
9
2010
Representation theory of wreath products of finite groups. Zbl 1182.43010
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
8
2009
The Garden of Eden Theorem for cellular automata and for symbolic dynamical systems. Zbl 1102.68080
Ceccherini-Silberstein, Tullio; Fiorenzi, Francesca; Scarabotti, Fabio
8
2004
Harmonic analysis of finite lamplighter random walks. Zbl 1203.43009
Scarabotti, Fabio; Tolli, Filippo
7
2008
On the entropy of regular languages. Zbl 1058.68068
Ceccherini-Silberstein, Tullio; Machì, Antonio; Scarabotti, Fabio
6
2003
Time to reach stationarity in the Bernoulli-Laplace diffusion model with many urns. Zbl 0886.60006
Scarabotti, Fabio
6
1997
On the representation theory of the alternating groups. Zbl 1301.20010
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
5
2013
The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials. Zbl 1216.33042
Scarabotti, Fabio
5
2011
Induced representations and Mackey theory. Zbl 1189.20009
Ceccherini-Silberstein, T.; Machí, A.; Scarabotti, F.; Tolli, F.
5
2009
The discrete sine transform and the spectrum of the finite \(q\)-ary tree. Zbl 1103.05053
Scarabotti, Fabio
5
2006
Generalized Kaloujnine groups, uniseriality and height of automorphisms. Zbl 1151.20019
Ceccherini-Silberstein, Tullio G.; Leonov, Yurij G.; Scarabotti, Fabio; Tolli, Filippo
5
2005
Fourier analysis of a class of finite Radon transforms. Zbl 1041.44002
Scarabotti, Fabio
5
2003
Mackey’s theory of \(\tau\)-conjugate representations for finite groups. Zbl 1346.20006
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
4
2015
Clifford theory and applications. Zbl 1192.20005
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
4
2009
Spectral analysis of finite Markov chains with spherical symmetries. Zbl 1128.60006
Scarabotti, Fabio; Tolli, Filippo
4
2007
Random walks, entropy and Hopfianity of free groups. Zbl 1067.20025
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio
4
2004
The top of the lattice of normal subgroups of the Grigorchuk group. Zbl 0998.20036
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
4
2001
Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians. Zbl 0913.43007
Scarabotti, Fabio
4
1998
Harmonic analysis on a finite homogeneous space. II: The Gelfand-Tsetlin decomposition. Zbl 1201.43008
Scarabotti, Fabio; Tolli, Filippo
3
2010
Multidimensional Hahn polynomials, intertwining functions on the symmetric group and Clebsch-Gordan coefficients. Zbl 1177.33030
Scarabotti, Fabio
3
2007
Harmonic analysis of the space of \(S_a\times S_b\times S_c\)-invariant vectors in the irreducible representations of the symmetric group. Zbl 1103.20007
Scarabotti, Fabio
3
2005
On a lemma of Gromov and the entropy of a graph. Zbl 1017.05062
Scarabotti, Fabio
3
2002
Grigorchuk group of intermediate growth. Zbl 1142.20308
Ceccherini-Silberstein, Tullio; Machì, Antonio; Scarabotti, Fabio
3
2001
The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group. Zbl 1229.20011
Scarabotti, Fabio
2
2011
Finite Gelfand pairs: examples and applications. Zbl 1184.43010
Ceccherini-Silberstein, Tullio; d’Angeli, Daniele; Donno, Alfredo; Scarabotti, Fabio; Tolli, Filippo
2
2009
Discrete harmonic analysis. Representations, number theory, expanders, and the Fourier transform. Zbl 1395.43001
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2018
Induced representations and harmonic analysis on finite groups. Zbl 1401.20013
Scarabotti, Fabio; Tolli, Filippo
1
2016
Mackey’s criterion for subgroup restriction of Kronecker products and harmonic analysis on Clifford groups. Zbl 1345.20012
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2015
Hecke algebras and harmonic analysis on finite groups. Zbl 1309.20003
Scarabotti, Fabio; Tolli, Filippo
1
2013
Fourier analysis of subgroup conjugacy invariant functions on finite groups. Zbl 1271.43006
Scarabotti, Fabio; Tolli, Filippo
1
2013
Radon transforms and lamplighter random walks. Zbl 1227.05229
Scarabotti, F.; Tolli, F.
1
2009
Weighted expanders and the anisotropic Alon-Boppana theorem. Zbl 1048.05057
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2004
Inner amenability of some groups of piecewise-linear homeomorphisms of the real line. Zbl 1168.43301
Ceccherini-Silberstein, Tullio G.; Scarabotti, Fabio
1
2001
On the presentations of the trivial group. Zbl 0939.20033
Scarabotti, Fabio
1
1999
Discrete harmonic analysis. Representations, number theory, expanders, and the Fourier transform. Zbl 1395.43001
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2018
Induced representations and harmonic analysis on finite groups. Zbl 1401.20013
Scarabotti, Fabio; Tolli, Filippo
1
2016
Mackey’s theory of \(\tau\)-conjugate representations for finite groups. Zbl 1346.20006
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
4
2015
Mackey’s criterion for subgroup restriction of Kronecker products and harmonic analysis on Clifford groups. Zbl 1345.20012
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2015
Representation theory and harmonic analysis of wreath products of finite groups. Zbl 1318.20007
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
10
2014
On the representation theory of the alternating groups. Zbl 1301.20010
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
5
2013
Hecke algebras and harmonic analysis on finite groups. Zbl 1309.20003
Scarabotti, Fabio; Tolli, Filippo
1
2013
Fourier analysis of subgroup conjugacy invariant functions on finite groups. Zbl 1271.43006
Scarabotti, Fabio; Tolli, Filippo
1
2013
The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials. Zbl 1216.33042
Scarabotti, Fabio
5
2011
The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group. Zbl 1229.20011
Scarabotti, Fabio
2
2011
Representation theory of the symmetric groups. The Okounkov-Vershik approach, character formulas, and partition algebras. Zbl 1230.20002
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
34
2010
Harmonic analysis on a finite homogeneous space. Zbl 1189.43008
Scarabotti, Fabio; Tolli, Filippo
9
2010
Harmonic analysis on a finite homogeneous space. II: The Gelfand-Tsetlin decomposition. Zbl 1201.43008
Scarabotti, Fabio; Tolli, Filippo
3
2010
Representation theory of wreath products of finite groups. Zbl 1182.43010
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
8
2009
Induced representations and Mackey theory. Zbl 1189.20009
Ceccherini-Silberstein, T.; Machí, A.; Scarabotti, F.; Tolli, F.
5
2009
Clifford theory and applications. Zbl 1192.20005
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
4
2009
Finite Gelfand pairs: examples and applications. Zbl 1184.43010
Ceccherini-Silberstein, Tullio; d’Angeli, Daniele; Donno, Alfredo; Scarabotti, Fabio; Tolli, Filippo
2
2009
Radon transforms and lamplighter random walks. Zbl 1227.05229
Scarabotti, F.; Tolli, F.
1
2009
Harmonic analysis on finite groups. Representation theory, Gelfand pairs and Markov chains. Zbl 1149.43001
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
47
2008
Harmonic analysis of finite lamplighter random walks. Zbl 1203.43009
Scarabotti, Fabio; Tolli, Filippo
7
2008
Finite Gel’fand pairs and their applications to probability and statistics. Zbl 1173.43001
Ceccherini-Silberstein, T.; Scarabotti, F.; Tolli, F.
17
2007
Spectral analysis of finite Markov chains with spherical symmetries. Zbl 1128.60006
Scarabotti, Fabio; Tolli, Filippo
4
2007
Multidimensional Hahn polynomials, intertwining functions on the symmetric group and Clebsch-Gordan coefficients. Zbl 1177.33030
Scarabotti, Fabio
3
2007
Trees, wreath products and finite Gelfand pairs. Zbl 1106.43006
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
17
2006
The discrete sine transform and the spectrum of the finite \(q\)-ary tree. Zbl 1103.05053
Scarabotti, Fabio
5
2006
Generalized Kaloujnine groups, uniseriality and height of automorphisms. Zbl 1151.20019
Ceccherini-Silberstein, Tullio G.; Leonov, Yurij G.; Scarabotti, Fabio; Tolli, Filippo
5
2005
Harmonic analysis of the space of \(S_a\times S_b\times S_c\)-invariant vectors in the irreducible representations of the symmetric group. Zbl 1103.20007
Scarabotti, Fabio
3
2005
The Garden of Eden Theorem for cellular automata and for symbolic dynamical systems. Zbl 1102.68080
Ceccherini-Silberstein, Tullio; Fiorenzi, Francesca; Scarabotti, Fabio
8
2004
Random walks, entropy and Hopfianity of free groups. Zbl 1067.20025
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio
4
2004
Weighted expanders and the anisotropic Alon-Boppana theorem. Zbl 1048.05057
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
1
2004
On the entropy of regular languages. Zbl 1058.68068
Ceccherini-Silberstein, Tullio; Machì, Antonio; Scarabotti, Fabio
6
2003
Fourier analysis of a class of finite Radon transforms. Zbl 1041.44002
Scarabotti, Fabio
5
2003
On a lemma of Gromov and the entropy of a graph. Zbl 1017.05062
Scarabotti, Fabio
3
2002
The top of the lattice of normal subgroups of the Grigorchuk group. Zbl 0998.20036
Ceccherini-Silberstein, Tullio; Scarabotti, Fabio; Tolli, Filippo
4
2001
Grigorchuk group of intermediate growth. Zbl 1142.20308
Ceccherini-Silberstein, Tullio; Machì, Antonio; Scarabotti, Fabio
3
2001
Inner amenability of some groups of piecewise-linear homeomorphisms of the real line. Zbl 1168.43301
Ceccherini-Silberstein, Tullio G.; Scarabotti, Fabio
1
2001
Amenable groups and cellular automata. Zbl 0920.43001
Ceccherini-Silberstein, Tullio G.; Machì, Antonio; Scarabotti, Fabio
27
1999
On the presentations of the trivial group. Zbl 0939.20033
Scarabotti, Fabio
1
1999
Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians. Zbl 0913.43007
Scarabotti, Fabio
4
1998
Time to reach stationarity in the Bernoulli-Laplace diffusion model with many urns. Zbl 0886.60006
Scarabotti, Fabio
6
1997
all top 5

Cited by 218 Authors

24 Ceccherini-Silberstein, Tullio G.
18 Scarabotti, Fabio
14 Donno, Alfredo
13 Tolli, Filippo
11 Coornaert, Michel
10 D’angeli, Daniele
4 Bartholdi, Laurent
4 Fiorenzi, Francesca
4 Mizukawa, Hiroshi
4 Woess, Wolfgang
3 Capobianco, Silvio
3 Cavaleri, Matteo
3 de Mello Koch, Robert
3 Diaconis, Persi Warren
3 Genest, Vincent X.
3 Grigorchuk, Rostislav Ivanovich
3 Humphries, Stephen P.
3 Leonov, Yu. G.
3 Méliot, Pierre-Loïc
3 Nekrashevych, Volodymyr V.
3 Śniady, Piotr
3 Srinivasan, Murali Krishna
3 Stroppel, Catharina H.
3 Vinet, Luc
2 Can, Mahir Bilen
2 Collins, Benoît
2 Jones, Gareth A.
2 Kari, Jarkko
2 Li, Hanfeng
2 Machi, Antonio
2 Shimabukuro, Osamu
2 Sushchans’kyĭ, Vitaliĭ Ivanovych
2 Taati, Siamak
2 Tanaka, Hajime
2 Vershik, Anatoliĭ Moiseevich
1 Aizenbud, Inna Entova
1 Aker, Kürşat
1 Anderson, Gradin
1 Arrighi, Pablo
1 Assaf, Sami H.
1 Balagović, Martina
1 Bannai, Eiichi
1 Bardet, Ivan
1 Barg, Alexander M.
1 Belardo, Francesco
1 Benson, Chal
1 Beyne, Tim
1 Bhamidi, Shankar
1 Bondarenko, Ievgen V.
1 Bondarenko, Nataliya V.
1 Bordenave, Charles
1 Bou-Rabee, Khalid
1 Cao, Xiwang
1 Carlson, Warren
1 Castillo-Ramirez, Alonso
1 Chen, Bocong
1 Chhaïbi, Réda
1 Cioabă, Sebastian M.
1 Colmenarejo, Laura
1 Coquereaux, Robert
1 Crisman, Karl-Dieter
1 Dahlqvist, Antoine
1 Dang, Zhaohui
1 Daugherty, Zajj
1 De Bie, Hendrik
1 De Commer, Kenny
1 Delbaen, Freddy
1 Dessein, Matthias
1 Di Fiore, Carmine
1 Dołȩga, Maciej
1 Doty, Stephen R.
1 Durbec, Nicolas
1 Ellers, Harald
1 Elzinga, Randall J.
1 Emmanuel, Aurélien
1 Eskenazis, Alexandros
1 Evans, Steven Neil
1 Fallbacher, Maximilian
1 Felix, Luciano Viana
1 Fel’shtyn, Alexander
1 Féray, Valentin
1 Ferraguti, Andrea
1 Filmus, Yuval
1 Firer, Marcelo
1 Furber, Robert D.
1 Gadouleau, Maximilien
1 Gajardo, Andrea Vera
1 Geetha, Thangavelu
1 Ghosh, Subhajit
1 Giataganas, Dimitrios
1 Gregory, David Allan
1 Groenevelt, Wolter G. M.
1 Gündüz, Güngör
1 Gupta, Chander Kanta
1 Gurevich, Shamgar
1 Haagerup, Uffe Valentin
1 Halacheva, Iva
1 Harada, Megumi
1 Hartung, René
1 He, Jimmy
...and 118 more Authors
all top 5

Cited in 85 Serials

10 Journal of Algebra
8 Theoretical Computer Science
8 European Journal of Combinatorics
7 Journal of Algebraic Combinatorics
7 Journal of Mathematical Sciences (New York)
6 Advances in Applied Mathematics
6 Linear Algebra and its Applications
5 Proceedings of the American Mathematical Society
4 Monatshefte für Mathematik
4 Ergodic Theory and Dynamical Systems
4 Japanese Journal of Mathematics. 3rd Series
3 Communications in Algebra
3 Discrete Applied Mathematics
3 Transactions of the American Mathematical Society
3 The Ramanujan Journal
3 Algebras and Representation Theory
3 Algebraic Combinatorics
2 Nuclear Physics. B
2 Advances in Mathematics
2 The Annals of Probability
2 The Annals of Applied Probability
2 International Journal of Algebra and Computation
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Celestial Mechanics and Dynamical Astronomy
2 The Electronic Journal of Combinatorics
2 Journal of the European Mathematical Society (JEMS)
2 Journal of High Energy Physics
1 International Journal of Modern Physics A
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Rendiconti del Seminario Matematico della Università di Padova
1 Semigroup Forum
1 Tohoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Graphs and Combinatorics
1 Probability Theory and Related Fields
1 Information and Computation
1 Journal of Theoretical Probability
1 Journal of Cryptology
1 Forum Mathematicum
1 International Journal of Mathematics
1 Aequationes Mathematicae
1 L’Enseignement Mathématique. 2e Série
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Potential Analysis
1 Selecta Mathematica. New Series
1 Discussiones Mathematicae. Graph Theory
1 Journal of Difference Equations and Applications
1 Electronic Journal of Probability
1 Journal of Group Theory
1 Annals of Combinatorics
1 Annals of Mathematics. Second Series
1 Interdisciplinary Information Sciences (IIS)
1 Journal of Dynamical and Control Systems
1 Annales Henri Poincaré
1 International Journal of Modern Physics C
1 Journal of Algebra and its Applications
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Groups, Geometry, and Dynamics
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Modern Dynamics
1 Random Matrices: Theory and Applications
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma
all top 5

Cited in 39 Fields

80 Group theory and generalizations (20-XX)
69 Combinatorics (05-XX)
29 Abstract harmonic analysis (43-XX)
29 Probability theory and stochastic processes (60-XX)
28 Computer science (68-XX)
26 Dynamical systems and ergodic theory (37-XX)
12 Special functions (33-XX)
12 Quantum theory (81-XX)
11 Topological groups, Lie groups (22-XX)
8 Associative rings and algebras (16-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
5 Nonassociative rings and algebras (17-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Algebraic geometry (14-XX)
4 Category theory; homological algebra (18-XX)
4 Functional analysis (46-XX)
4 Convex and discrete geometry (52-XX)
3 Number theory (11-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Commutative algebra (13-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Partial differential equations (35-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)

Citations by Year