Romualdo Pastor-Satorras, Alexei Vázquez, and Alessandro Vespignani Departament de F́ısica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain International School for Advanced Studies SISSA/ISAS, via Beirut 4, 34014 Trieste, Italy The Abdus Salam International Centre for Theoretical Physics (ICTP), P.O. Box 586, 34100 Trieste, Italy (Dated: Februar...

C.D. FROGGATT ∗, L.V. LAPERASHVILI †, H.B. NIELSEN ‡ and Y. TAKANISHI § ∗ Department of Physics and Astronomy, Glasgow University, Glasgow G12 8QQ, Scotland E-mail: [email protected] † ITEP, 25 B. Cheremushkinskaya Str., 117218 Moscow, Russia E-mail: [email protected] ‡ The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark E-mail: [email protected] § The Abdus Salam I...

B. S. Acharya(), F. Cavallari(), G. Corcella()(), R. Di Sipio() and G. Petrucciani() () Abdus Salam International Center for Theoretical Physics and INFN Sezione di Trieste, Italy () INFN, Sezione di Roma, Italy () Museo Storico della Fisica e Centro Studi e Ricerche E. Fermi, Italy () Scuola Normale Superiore and INFN, Sezione di Pisa, Italy () Università di Bologna and INFN Sezione di Bologna...

† Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA ‡ International School for Advanced Studies (S.I.S.S.A.), Via Beirut 2-4, 34014 Trieste, INFM and the Abdus Salam International Center for Theoretical Physics, Trieste, Italy § Niels Bohr Institutet, Blegdamsvej 17, 2100 København Ø, Denmark * To whom correspondence should ...

Souleymane Kamara , , Adélaïde Raguin, Janusz Sadowski*, Rose Marie Galéra,**,Catherine Gourdon***, Salam Charar and Férial Terki Groupe d’Etude des Semiconducteurs, Montpellier University, 34095 Montpellier, France *MAX-Lab, Lund University, P.O. Box 118, 221 00 Lund, Sweden **Institut Néel, and Centre National de la Recherche Scientifique, BP 116, 38042 Grenoble cedex 9, France. *** Institut ...

We show that the Meixner, Pollaczek, Meixner-Pollaczek and Al-Salam-Chihara polynomials, in certain normalization, are moments of probability measures. We use this fact to derive bilinear and multilinear generating functions for some of these polynomials. We also comment on the corresponding formulas for the Charlier, Hermite and Laguerre polynomials. Running Title: Generating Functions

Marián Boguñá, Romualdo Pastor-Satorras, and Alessandro Vespignani Departament de F́ısica Fonamental, Universitat de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain Departament de F́ısica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Spain The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Trieste, I-34014, Italy (Dated: Mar...

C. R. Laumann, A. M. Läuchli, R. Moessner, A. Scardicchio, and S. L. Sondhi Department of Physics, Princeton University, Princeton, NJ 08544, USA Max Planck Institut fur Physik Komplexer Systeme, 01187 Dresden, Germany Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy Department of Physics, Princeton University, Princeton, NJ 08544 (Dated: 1 July...

Grand Unified Theories based on an E6 gauge group embed all Higgsand matter fields within one 27 dimensional fundamental representation. In addition each 27 contains a right handed neutrino, an NMSSM-like standard model singlet and a pair of exotic particles, that couple quarks to leptons. The extended particle content spoils simple gauge unification as in the MSSM. By embedding the SM into a P...

Oluwole E. Yewande, Yamir Moreno, ∗ Ferenc Kun, Raul Cruz Hidalgo, and Hans J. Herrmann The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Trieste, I-34014, Italy Department of Theoretical Physics, University of Debrecen, P.O.Box: 5, H-4010 Debrecen, Hungary Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany (Dated...