Contents A brief descriptio n o f MASS Progra m SVETLANA KATO K AN D SERG E TABACHNIKO V 1 Teaching i n the MAS S Progra m GEORGE E . ANDREW S 7 Part I . Lectur e Note s 9 p-adie analysi s i n compariso n wit h rea l SVETLANA KATO K 1 Geometrical method s o f mechanic s MARK LEV I 8 9 Geometric structures , symmetr y an d element s o f Lie group s ANATOLE KATO K 9 9 Continued fractions , hyperboli c geometr y an d quadrati c form s SVETLANA KATO K 12 Part II . MAS S Colloquiu m 16 MASS Colloquiu m SERGE TABACHNIKO V 163 Hilbert's fourt h proble m i n two dimension s JUAN C . ALVARE Z PAIV A 165 Integral lexicographi c code s JOHN CONWA Y 185 The classificatio n o f finite simpl e group s EDWARD FORMANE K 19 Billiard ball s coun t ix GREGORY GALPERI N 197 Rep-tiles revisite d VIOREL NITIC A 20 5 Fractals an d dynamic s YAKOV PESI N 219
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