LEADER 03391nam 22006255 450 001 9910760261303321 005 20260317094508.0 010 $a3-031-10391-2 024 7 $a10.1007/978-3-031-10391-9 035 $a(MiAaPQ)EBC30853136 035 $a(Au-PeEL)EBL30853136 035 $a(DE-He213)978-3-031-10391-9 035 $a(CKB)28652797700041 035 $a(EXLCZ)9928652797700041 100 $a20231101d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExercises in Cellular Automata and Groups /$fby Tullio Ceccherini-Silberstein, Michel Coornaert 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (638 pages) 225 1 $aSpringer Monographs in Mathematics,$x2196-9922 311 08$aPrint version: Ceccherini-Silberstein, Tullio Exercises in Cellular Automata and Groups Cham : Springer International Publishing AG,c2023 9783031103902 327 $a1 Cellular Automata -- 2 Residually Finite Groups -- 3 Surjunctive Groups -- 4 Amenable Groups -- 5 The Garden of Eden Theorem -- 6 Finitely Generated Amenable Groups -- 7 Local Embeddability and Sofic Groups -- 8 Linear Cellular Automata. 330 $aThis book complements the authors? monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in [CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from [CAG] is maintained. Each chapter begins with a summary of the maindefinitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use. 410 0$aSpringer Monographs in Mathematics,$x2196-9922 606 $aAlgebra 606 $aDynamics 606 $aComputer science 606 $aAlgebra 606 $aDynamical Systems 606 $aComputer Science Logic and Foundations of Programming 606 $aAutòmats cel·lulars$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebra. 615 0$aDynamics. 615 0$aComputer science. 615 14$aAlgebra. 615 24$aDynamical Systems. 615 24$aComputer Science Logic and Foundations of Programming. 615 7$aAutòmats cel·lulars 676 $a511.3 676 $a515.39 700 $aCeccherini-Silberstein$b Tullio$0503338 702 $aCoornaert$b M$g(Michel), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910760261303321 996 $aExercises in cellular automata and groups$93601982 997 $aUNINA