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7. Bibliography

This list comprises a personal collection of research papers, review papers, academic theses and books which are in some way related to the theory of quasicrystals. It is by no means a complete compilation of the vast literature on this subject, nor is it regularly updated. The entries have been classified into five categories - book, review articles, academic theses, research papers, and finally patents.

7.1 Books on Quasicrystals and Related Topics

[B:ACG] Amann A., Cederbaum L., and Gans W. [Eds.] 1988: Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics, Proceedings of the NATO Advanced Research Workshop on New Theoretical Concepts in Physical Chemistry, NATO ASI Series C: Mathematical and Physical Sciences, vol. 235 (Kluwer, Dordrecht)
[B:AG] Axel F. and Gratias D. [Eds.] 1995: Beyond Quasicrystals (Springer, Berlin and Les Éditions de Physique, Les Ulis)
[B:Baa] Baake M. [Ed.] 1993: Selected Topics in the Theory of Quasicrystals, Int. J. Mod. Phys. B 7 nos. 6-7 (World Scientific, Singapore)
[B:BM] Baake M. and Moody R.V. [Eds.] 2000: Directions in Mathematical Quasicrystals CRM Monograph Series, vol. 13 (American Mathematical Society, Providence RI)
[B:BVC] de Boissieu M., Verger-Gaugry J.-L., and Currat R. [Eds.] 1998: Aperiodic '97 (World Scientific, Singapore)
[B:CP] Chapuis G. and Paciorek W. [Eds.] 1995: Aperiodic '94 (World Scientific, Singapore)
[B:Cor] Corbel C. [Ed.] 1996: Les intermétalliques: des superalliages aux quasicristaux, J. de Physique IV 6 no. 2
[B:DS] DiVincenzo D.P. and Steinhardt P.J. [Eds.] 1991: Quasicrystals: The State of the Art, Directions in Condensed Matter Physics, vol. 11 (World Scientific, Singapore)
[B:DSS] Doebner H.-D., Scherer W., and Schulte C. [Eds.] 1997: GROUP 21 - Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, vol. 2 (World Scientific, Singapore) pp. 937-1002
[B:Dub] Dubois J.-M. 2001: Useful Quasicrystals (World Scientific, Singapore, to appear)
[B:FP] Farkas-Jahnke M. and Pai E. [Eds.] 1993: Modulated Structures, Polytypes and Quasicrystals, Phase Transitions B 43&44 (Gordon and Breach, Yverdon)
[B:FO] Fujiwara T. and Ogawa T. [Eds.] 1990: Quasicrystals, Springer Solid-State Sciences 93 (Springer, Berlin)
[B:God] Godrèche C. [Ed.] 1988: Du cristal à l'amorphe (Les Éditions de Physique, Les Ulis)
[B:GSTD] Goldman A.I., Sordelet D.J., Thiel P.A., and Dubois J.-M. [Eds.] 1997: New Horizons in Quasicrystals - Research and Applications (World Scientific, Singapore)
[B:GM] Gratias D. and Michel L. [Eds.] 1986: International Workshop on Aperiodic Crystals, J. Phys. France Coll. C-3 suppl. 7 47
[B:GS] Grünbaum B. and Shephard G.C. 1987: Tilings and Patterns (W.H. Freeman, New York)
[B:Har90] Hargittai I. [Ed.] 1990: Quasicrystals, Networks, and Molecules of Fivefold Symmetry (VCH Publishers, New York)
[B:Har92] Hargittai I. [Ed.] 1992: Fivefold Symmetry (World Scientific, Singapore)
[B:HG] Hippert F. and Gratias D. [Eds.] (1994): Lectures on Quasicrystals (Les Éditions de Physique, Les Ulis)
[B:Jan] Janot C. 1994: Quasicrystals: A Primer, 2nd edition (Clarendon Press, Oxford)
[B:JD88] Janot C. and Dubois J.M. [Eds.] 1988: Quasicrystalline Materials (World Scientific, Singapore)
[B:JD98] Janot C. and Dubois J.M. 1998: Les quasicristeaux - matière à paradoxes (EDP Sciences, Les Ulis)
[B:JM] Janot C. and Mosseri R. [Eds.] 1995: Proceedings of the 5th International Conference on Quasicrystals (World Scientific, Singapore)
[B:Jar88] Jaric M.V. [Ed.] 1988: Introduction to Quasicrystals, Aperiodicity and Order, vol. 1 (Academic Press, San Diego)
[B:Jar89] Jaric M.V. [Ed.] 1989: Introduction to the Mathematics of Quasicrystals, Aperiodicity and Order, vol. 2 (Academic Press, San Diego)
[B:JG] Jaric M.V. and Gratias D. [Eds.] 1989: Extended Icosahedral Structures Aperiodicity and Order, vol. 3 (Academic Press, San Diego)
[B:JL] Jaric M.V. and Lundqvist S. [Eds.] 1990: Quasicrystals (World Scientific, Singapore)
[B:KGG] Kelton K.F., Gibbons P.C., and Goldman A.I. [Eds.] 1993: Quasicrystals 4, J. Non-Cryst. Solids 153&154
[B:Kuo] Kuo K.H. [Ed.] 1987: Quasicrystals, Materials Science Forum, vols. 22-24 (Trans Tech Publications, Aedermannsdorf)
[B:KN] Kuo K.H. and Ninomiya T. [Eds.] 1991: Quasicrystals (World Scientific, Singapore)
[B:KT] Kuo K.H. and Takeuchi S. [Eds.] 1994: Quasicrystals and Imperfectly Ordered Crystals, Materials Science Forum, vols. 150-151 (Trans Tech Publications, Aedermannsdorf)
[B:LR] Loreto L. and Ronchetti M. [Eds.] 1990: Topics on Contemporary Crystallography and Quasicrystals, Per. Mineral. LIX nos. 1-3
[B:LMW] Luck J.-M., Moussa P., and Waldschmidt M. [Eds.] 1990: Number Theory and Physics, Springer Proceedings in Physics 47 (Springer, Berlin) pp. 77-137
[B:Mey] Meyer Y. 1972: Algebraic Numbers and Harmonic Analysis (North Holland, Amsterdam)
[B:Mie] Miekisz J. 1993: Quasicrystals. Microscopic models on nonperiodic structures (Leuven University Press, Leuven)
[B:Moo] Moody R.V. [Ed.] 1997: The Mathematics of Long-Range Aperiodic Order, NATO ASI Series C: Mathematical and Physical Sciences, vol. 489 (Kluwer, Dordrecht)
[B:PVW] Pandey D., Vinod K., and Wadhawan V.K. [Eds.] 1989: Modulated Structures, Polytypes and Quasicrystals, Phase Transitions 16&17 (Gordon and Breach, New York)
[B:Pat] Patera J. [Ed.] 1998: Quasicrystals and Discrete Geometry, Fields Institute monographs, vol. 10 (American Mathematical Society, Providence)
[B:PZM] Pérez-Mato J.M., Zúñiga F.J., and Madariga G. [Eds.] 1991: Methods of Structural Analysis of Modulated Structures and Quasicrystals (World Scientific, Singapore)
[B:PU] Pokrovsky V. and Uimin G. 1993: Modulated Structures: Commensurate, Incommensurate, Stochastic Structures and Quasicrystals, Series on Modern Condensed Matter Physics, vol. 3 (World Scientific, Singapore)
[B:SC] Scott J.F. and Clark N.A. 1987: Incommensurate Crystals, Liquid Crystals and Quasi-crystals, NATO ASI B 166 (Plenum Press, New York)
[S:Sen] Senechal M. 1995: Quasicrystals and Geometry (Cambridge University Press, Cambridge)
[B:SD] Sordelet D.J. and Dubois J.M. [Eds.] 1997: Quasicrystals MRS Bulletin 22 no. 11
[B:Sta] Stadnik Z.M. [Ed.] 1999: Physical Properties of Quasicrystals (Springer, Berlin)
[B:SO] Steinhardt P.J. and Ostlund S. [Eds.] 1987: The Physics of Quasicrystals (World Scientific, Singapore)
[B:SSH] Suck J.-B., Schreiber M., and Häussler P. [Eds.] 2002: Quasicrystals - An Introduction to structure, physical properties and applications of quasicrystalline alloys (Springer, Berlin, to appear)
[B:TF] Takeuchi S. and Fujiwara T. [Eds.] 1998: Proceedings of the 6th International Conference on Quasicrystals (World Scientific, Singapore)
[B:TD] Tolédano P. and Dmitriev V. 1996: Reconstructive Phase Transitions in Crystals and Quasicrystals (World Scientific, Singapore)
[B:YT] Yacamán M.J. and Torres M. [Eds.] 1993: Crystal-Quasicrystal Transitions (North-Holland, Amsterdam)
[B:YRCG] Yacamán M.J., Romeu D., Castaño V., and Gómez A. [Eds.] 1990: Quasicrystals and Incommensurate Structures in Condensed Matter (World Scientific, Singapore)

7.2 Review Articles on Quasicrystals

[R:AM] Allouche J.-P. and Mendès France M. 1995: Automata and automatic sequences, in [B:AG] pp. 293-367
[R:Baa] Baake M. 2002: A guide to mathematical quasicrystals, in [B:SSH] (to appear), preprint math-ph/9901014
[R:Bel] Bellissard J. 1986: K-theory of C*-algebras in solid state physics, in Statistical Mechanics and Field Theory: Mathematical Aspects, Lecture Notes in Physics 257, edited by T.C. Dorlas, N.M. Hugenholtz, and M. Winnik (Springer, Berlin) pp. 99-156
[R:BBG] Bellissard J., Bovier A., and Ghez J.M. 1992: Gap labelling theorems for one-dimensional discrete Schrödinger operators, Rev. Math. Phys. 4 1-37
[R:Ber] Berger C. 1994: Electronic properties of quasicrystals experimental, in [B:HG] pp. 463-504
[R:BK] Böttger H. and Kasner G. 1991: Quasicrystals, phys. stat. sol. (b) 164 11-38
[R:DiV] DiVincenzo D.P. 1997: Topics in Aperiodicity: Penrose Tiling Growth and Quantum Circuits, in [B:Moo] pp.127-40
[R:Dub] Dubois J.M. 1997: A survey of the potential applications of quasicrystals, in [B:GSTD] pp. 208-15
[R:Els] Elser V. 1989: The growth of icosahedral phase, in [B:JG] pp. 105-36
[R:FT] Fujiwara T. and Tsunetsugu H. 1991: Electronic structure and transport of quasicrystals, in [B:DS] pp. 343-60
[R:GH] Geerse C.P.M. and Hof A. 1991: Lattice gas models on self-similar aperiodic tilings, Rev. Math. Phys. 3 163-221
[R:GK] Goldman A.I. and Kelton K.F. 1993: Quasicrystals and crystalline approximants, Rev. Mod. Phys. 65 213-230
[R:Gre] Greis O. 1990: Quasikristalle, Nachr. Chem. Tech. Lab. 38 1346-52
[R:GB] Grimm U. and Baake M. 1997: Aperiodic Ising models, in [B:Moo] pp. 199-237
[R:GJ] Grimm U. and Joseph D. 1999: Modelling quasicrystal growth, in [B:SSH] (to appear), preprint cond-mat/9903074
[R:GS] Grimm U. and Schreiber M. 2002: Aperiodic tilings on the computer, in [B:SSH] (to appear), preprint cond-mat/9903010
[R:GKB] Guyot P., Kramer P., and de Boissieu, M. 1989: Quasicrystals, Rep. Prog. Phys. 54 1373-1425
[R:Hab] Haberkern R. 2002: Electronic transport properties of quasicrystalline thin films, in [B:SSH] (to appear)
[R:Hau] Häussler P. 1992: Interrelations between atomic and electronic structures - Liquid and amorphous metals as model systems, Phys. Rep. 222 65-143
[R:Hen] Henley C.L. 1991: Random tiling models, in [B:DS] pp. 429-524
[R:Ho] Ho T.L. 1991: Faceting and surface roughening in quasicrystals, in [B:DS] pp. 401-28
[R:Hol] Holland-Moritz D. 2002: Undercooling of Quasicrystal-Forming Liquid Alloys, in [B:SSH] (to appear)
[R:Jan88] Janssen, T. 1988: Aperiodic crystals: A contradictio in terminis? Phys. Rep. 168 55-113
[R:Jan95] Janssen T. 1995: From quasiperiodic to more complex systems, in [B:AG] pp. 75-140
[R:Jan97] Janssen T. 1997: Aperiodic Schrödinger operators, in [B:Moo] pp. 269-306
[R:Kat90] Katz A. 1990: On the distinction between quasicrystals and modulated crystals, in [B:JL], pp. 200-17
[R:Kat95] Katz A. 1995: Matching rules and quasiperiodicity: The octagonal tiling, in [B:AG] pp. 141-89
[R:May] Mayou D. 1994: Introduction to the theory of electronic properties of quasicrystals, in [B:HG] pp. 417-62
[R:Mer] Mermin N.D. 1991: (Quasi)Crystallography is better in Fourier space, in [B:DS] pp. 133-84
[R:Mey] Meyer Y. 1995: Quasicrystals, diophantine approximation and algebraic numbers, in [B:AG] pp. 3-16
[R:Moo] Moody R.V. 1997: Meyer sets and their duals, in [B:Moo] pp. 403-41
[R:Nel] Nelson D.R. 1986: Quasicrystals, Sci. Am. 255 33-41
[R:Nie] Nienhuis B. 1998: Exact solution of random tiling models, Phys. Rep. 301 271-92
[R:NB] Nissen H.-U. and Beeli C. 1990: Electron microscopy of quasicrystals, in [B:LR] pp. 31-67
[R:Pen] Penrose R. 1989: Tilings and quasi-crystals: A non-local growth problem? in [B:Jar89] pp. 53-79
[R:Pey] Peyrière J. 1995: Trace maps, in [B:AG] pp. 465-80
[R:Poo] Poon S.J. 1992: Electronic properties of quasicrystals. An experimental review, Adv. in Phys. 41 303-63
[R:QJ] Quilichini M. and Janssen T. 1997: Phonon excitations in quasicrystals, Rev. Mod. Phys. 69 277-314
[R:RCSK] Ranganathan S., Chattopadhyay K., Singh A., and Kelton K.F. 1997: Decagonal quasicrystals, Prog. Mater. Sci. 41 195-240
[R:SB] Schulz-Baldes H. and Bellissard J. 1998: Anomalous transport: A mathematical framework, Rev. Math. Phys. 10 1-46
[R:Sim] Simon B. 1982: Almost periodic Schrödinger operators: A review, Adv. Appl. Math. 3 463-90
[S:Sir] Sire C. 1994: Properties of quasiperiodic Hamiltonians spectra wavefunctions and transport, in [B:HD] pp. 505-33
[R:Soc] Socolar J.E.S. (1991): Growth rules for quasicrystals, in [B:DS] pp. 213-38
[R:Step] Stephens P.W. 1989: The icosahedral glass model, in [B:JG] pp. 37-104
[R:Steu90] Steurer W. 1990: The structure of quasicrystals, Z. Kristall. 190 179-234
[R:Steu96] Steurer W. 1996: The structure of quasicrystals, in Physical Metallurgy, vol. I, edited by R.W. Cahn and P. Haasen (Elsevier, Amsterdam) pp. 371-411
[R:Sut] Sütö A. 1995: Schrödinger difference equation with deterministic ergodic potentials, in [B:AG] pp. 481-549
[R:TGJ] Thiel P.A., Goldman A.I., and Jenks C.J. 1999: Surface science of quasicrystals, in [B:Sta] pp. 327-55

7.3 Academic Theses related to Quasicrystals

[T:Bee] Beeli C. 1992: Electron Quasicrystallography, Dissertation no. 9801, ETH Zürich
[T:Gie] de Gier J. 1998: Random Tilings and Solvable Lattice Models, Proefschrift Universiteit van Amsterdam
[T:Gum] Gummelt P. 1999: Aperiodische Überdeckungen mit einem Clustertyp, Dissertation, Universität Greifswald (Shaker, Aachen)
[T:Her] Hermisson J. 1999: Aperiodische Ordnung und Magnetische Phasenübergänge}, Dissertation, Universität Tübingen
[T:Hir] Hirning A. 1996: Selbstdiffusion in Quasikristallen}, Dissertation, Universität Stuttgart (Shaker, Aachen)
[T:Hof] Hof A. 1992: Quasicrystals, aperiodicity and lattice systems, Proefschrift Rijksuniversiteit Groningen
[T:Hoff] Hoffmann S. 1996: Energieausbreitung in eindimensional Quasikristallen, Dissertation, Universität Stuttgart (Shaker, Aachen)
[T:Jos] Joseph D. 1993: Quasikristalle - Struktur und elektronische Eigenschaften, Dissertation, Universität Tübingen
[T:Kli] Klitzing R. 1996: Reskalierungssymmetrien quasiperiodische Strukturen, Dissertation, Universität Tübingen (Dr. Kovac, Hamburg)
[T:Pet] Peters J. 1994: Elektronische Zustände und Transporteigenschaften von Quasikristallen aus störungstheoretischer Sicht, Dissertation, Universität Stuttgart (Shaker, Aachen)
[T:Pie] Piéchon F. 1995: Etude des propriétés électronique d'hamiltoniens quasipériodiques: Statistique des spectres d'énergie et diffusion quantique, Thése Université de Paris-Sud, Centre d'Orsay
[T:Ray] Raymond L. 1995: Étude algébrique de milieux quasipériodiques, Thése Université de Provence, Marseille
[T:Red] Redner O. 1999: Effiziente Simulation periodischer und nicht-periodischer Ising-Modelle am kritischen Punkt, Diplomarbeit, Universität Tübingen
[T:Ric] Richard C. 1999: Statistische Physik stochastischer Parkettierungen}, Dissertation, Universität Tübingen
[T:Rie] Rieth T. 1995: Untersuchung der Lokalisierung von elektronischen Eigenzustäanden in quasiperiodischen Gittern, Dissertation, Technische Universität Chemnitz-Zwickau, http://archiv.tu-chemnitz.de/pub/1996/0004/
[T:Roc] Roche S. 1996: Contribution a l'étude théorique du transport électronique dans les quasicristaux, Thése Université Joseph-Fourier, Grenoble
[T:Rud] Rüdinger A. 1998: Multifraktale Analysen der Spektren quasiperiodischer Hamiltonoperatoren, Dissertation, Universität Stuttgart (Shaker, Aachen)
[T:Sche] Scheffer M. 1998: Festkörperreaktionen in quasikristallinen Legierungen, Dissertation, Universität Stuttgart and Max-Planck-Institut für Metallforschung Stuttgart
[T:Schl] Schlottmann M. 1993: Geometrische Eigenschaften quasiperiodischer Strukturen, Dissertation, Universität Tübingen
[T:Schm] Schmitz J. 1993: Ein tetrakoordiniertes, quasiperiodisches Gitter als Modell amorpher Halbleiter: Elektronische Zustände, Dissertation, Universität Stuttgart (Hänsel-Hohenhausen, Egelsbach)
[T:Sim] Simon H. 1997: Ferromagnetische Spinsysteme auf aperiodischen Strukturen Dissertation, Universität Tübingen (DDD, Darmstadt)

7.4 Research Papers related to Quasicrystals

to be completed
[AD89] Abe R. and Dotera T. 1989: High temperature expansion for the Ising model on the Penrose lattice, J. Phys. Soc. Jpn. 58 3219-26
[ALM86] Achiam Y., Lubensky T.C., and Marshall E.W. 1986: Ising model on a quasiperiodic chain, Phys. Rev. B 33 6460-4
[AB98] Achrayah R. and Baus M. 1998: Thermodynamic stability of periodic and quasiperiodic crystals within a van der Waals approximation, Phys. Rev. E 57 4361-7
[AGRB+98] Ahlgren M., Gignoux C., Rodmar M., Berger C., and Rapp Ö. 1998: Low temperature transport properties of icosahedral AlPdRe, in [B:TF] pp. 615-8
[ARGB+9] Ahlgren M., Rodmar M., Gignoux C., Berger C., and Rapp Ö. 1997: Transition from weak to strong electronic localization in icosahedral AlPdRe, Mater. Sci. Eng. A 226 981-5
[AMF86a] Allouche J.-P. and Mendès France M. 1986: Quasicrystal Ising chain and automata theory, J. Stat. Phys. 42 809-21
[AMF86b] Allouche J.-P. and Mendès France M. 1986: Finite automata and zero temperature quasicrystal Ising chain, in [B:GM] pp. 63-73
[AAA88] Amarenda G., Ananthakrishna G., and Athithan G. 1988: Critical behavior of the Ising model on a two-dimensional Penrose lattice, Europhys. Lett. 5 181-4
[AGS92] Ammann R., Grünbaum B., and Shephard G.C. 1992: Aperiodic tiles, Discrete Comput. Geom. 8 1-25
[AnaK88] Ananthakrishna G. and Kumar V. 1988: Ananthakrishna and Kumar reply (Reply to Comment [XD88]), Phys. Rev. Lett. 60 1586
[Ande58] Anderson P.W. 1958: Absence of diffusion in certain random lattices, Phys. Rev. 109 1492-505
[AntK88] Antonov N.V. and Korepin V.E. 1988: Critical properties of completely integrable spin models in quasicrystals, Theor. Math. Phys. 77 1282-8
[AO87] Aoyama H. and Odagaki T. 1987: Eight-parameter renormalization group for Penrose lattices, J. Stat. Phys. 48 503-11
[AO88] Aoyama H. and Odagaki T. 1988: Renormalization group analysis of the Ising model on two-dimensional quasi-lattices, Int. J. Mod. Phys. B 2 13-35
[ARG91] Aragón J. L., Romeu D., and Gómez A. 1991: Higher-dimensional approach to a unified growth model for crystals, quasicrystals, and multiply twinned particles, Phys. Rev. B 44 584-91
[ATF87] Arai M., Tokihiro T., and Fujiwara T. 1987: Electronic structure of a 2-D Penrose lattice in a magnetic field, J. Phys. Soc. Jpn. 56 1642-4
[ATFK88] Arai M., Tokihiro T., Fujiwara T., and Kohmoto M. 1988: Strictly localized states on a two-dimensional Penrose lattice, Phys. Rev. B 38 1621-6
[AV97a] Arriaga J. and Velasco V.R. 1997: Electronic properties of semiconductor Fibonacci quasi-periodic superlattices, Physica A 241 377-81
[AV97b] Arriaga J. and Velasco V.R. 1997: Electronic properties of GaAs-AlAs Fibonacci superlattices, J. Phys.: Condens. Matter 9 8031-9
[AS88] Ashraff J.A. and Stinchcombe R.B. 1988: Exact decimation approach to the Green's functions of the Fibonacci-chain quasicrystal, Phys. Rev. B 37 5723-29
[Atha97] Athanasiou N.S. 1997: Formation, characterization and magnetic properties of some ternary Al-Cu-M (M equals transition metal) quasicrystals prepared by conventional solidification, Int. J. Mod. Phys. B 11 2443-64
[AA80] Aubry S. and André G. 1980: Analyticity breaking and Anderson localization in incommensurate lattices, Ann. Isreal Phys. Soc. 3 133-64
[AGHA+99] Aumann, A., Große Westhoff E., Herrero R., Ackemann T., and Lange W. 1999: Interplay of dispersion and absorption in a new optical pattern-forming system, J. Opt. B: Quantum Semiclass. Opt. 1 166-70
[ABT97] Avishai Y., Berend D. and Tkachenko V. 1997: Trace maps, Int. J. Mod. Phys. B 11 3525-42
[BEG97] Baake M., Elser V., and Grimm U. 1997: The entropy of square-free words, Mathl. Comput. Modelling 26 13-26
[BG97] Baake M. and Grimm U. 1997: Coordination sequences for root lattices and related graphs, Z. Kristall. 212 253-6
[BGB94] Baake M., Grimm U., and Baxter R.J. 1994: A critical Ising model on the labyrinth, Int. J. Mod. Phys. B 8 3579-600
[BGJ93] Baake M., Grimm U., and Joseph D. 1993: Trace maps, invariants, and some of their applications, Int. J. Mod. Phys. B 7 1527-50
[BGP95] Baake M., Grimm U., and Pisani C. 1995: Partition function zeros for aperiodic systems, J. Stat. Phys. 78 285-97
[BGRJ98] Baake M., Grimm U., Repetowicz P., and Joseph D. 1998: Coordination sequences and critical points, in [B:TF] pp. 124-7
[BGW94] Baake M., Grimm U., and Warrington D.H. 1994: Some remarks on the visible points of a lattice, J. Phys. A: Math. Gen. 27 2669-74; 5041 (Erratum)
[BHP97] Baake M., Hermisson J., and Pleasants P.A.B. 1997: The torus parametrization of quasiperiodic LI-classes, J. Phys. A: Math. Gen. 30 3029-56
[BH00] Baake M. and Höffe M. 2000: Diffraction of random tilings: Some rigorous results, J. Stat. Phys. 99 219-61 preprint math-ph/9904005
[BJ90] Baake M. and Joseph D. 1990: Ideal and defective vertex configurations in the planar octagonal quasilattice, Phys. Rev. B 42 8091-102
[BJK91] Baake M., Joseph D., and Kramer P. 1991: The Schur rotation as a simple approach to the transition between quasiperiodic and periodic phases, J. Phys. A: Math. Gen. 24 L961-7
[BJK92] Baake M., Joseph D., and Kramer P. 1992: Periodic clustering in the spectrum of quasiperiodic Kronig-Penney models, Phys. Lett. A 168 199-208
[BJKS90] Baake M., Joseph D., Kramer P., and Schlottmann M. 1990: Root lattices and quasicrystals, J. Phys. A: Math. Gen. 23 L1037-41
[BJS91] Baake M., Joseph D., and Schlottmann M. 1991: The root lattice D4 and planar quasilattices with octagonal and dodecagonal symmetry, Int. J. Mod. Phys. B 5 1927-53
[BKS92] Baake M., Klitzing R., and Schlottmann M. 1992: Fractally shaped acceptance domains of quasiperiodic square-triangle tilings with dodecagonal symmetry, Physica A 191 544-58
[BKSZ90a] Baake M., Kramer P., Schlottmann M., and Zeidler D. 1990: The triangle pattern - a new quasiperiodic tiling with fivefold symmetry, Mod. Phys. Lett. B 4 249-58
[BKSZ90b] Baake M., Kramer P., Schlottmann M., and Zeidler D. 1990: Planar patterns with fivefold symmetry as sections of periodic structures in 4-space, Int. J. Mod. Phys. B 4 2217-68
[BM98] Baake M. and Moody R.V. 1998: Diffractive point sets with entropy, J. Phys. A: Math. Gen. 31 9023-39
[BMS98] Baake M., Moody R.V., and Schlottmann M. 1998: Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces, J. Phys. A: Math. Gen. 31 5755-65
[BR97] Baake M. and Roberts J.A.G. 1997: Reversing symmetry group of Gl(2,Z) and PGl(2,Z) matrices with connections to cat maps and trace maps, J. Phys. A: Math. Gen. 30 1549-73
[BSJ91] Baake M., Schlottmann M., and Jarvis P.D. 1991: Quasiperiodic tilings with tenfold symmetry and equivalence with respect to local derivability, J. Phys. A: Math. Gen. 24 4637-54
[Baba93] Babalievski F.V. 1993: Percolation conductivity of Penrose lattices by the transfer-matrix Monte Carlo method, in [B:KGG] pp. 370-4
[BT98] Bachteler J. and Trebin H.-R. 1998: Elastic Green's function of icosahedral quasicrystals, Eur. Phys. J. B 4 299-306
[Bak85a] Bak P. 1985: Phenomenological theory of icosahedral incommensurate ("quasiperiodic") order in Mn-Al alloys, Phys. Rev. Lett. 54 1517-9
[Bak85b] Bak P. 1985: Symmetry, stability, and elastic properties of icosahedral incommensurate crystals, Phys. Rev. B 32 5764-72
[Bak86a] Bak P. 1986: Icosahedral crystals: Where are the atoms? Phys. Rev. Lett. 56 861-4
[Bak86b] Bak P. 1986: Icosahedral crystals from cuts in six-dimensional space, Scr. Metall. 20 1199-204
[BHSG+85] Bancel P.A., Heiney P.A., Stephens P.W., Goldman A.I., and Horn P.M. 1985: Structure of rapidly quenched Al-Mn, Phys. Rev. Lett. 54 2422-5
[BL94] Barache D. and Luck J.M. 1994: Electronic spectra of strongly modulated aperiodic structures, Phys. Rev. B 49 15004-16
[BBJS96] Barelli A., Bellissard J., Jacquod P., Shepelyansky D.L. 1996: Double butterfly spectrum for two interacting particles in the Harper model, Phys. Rev. Lett. 77 4752-5
[BBJS97] Barelli A., Bellissard J., Jacquod P., Shepelyansky D.L. 1997: Two interacting Hofstadter butterflies, Phys. Rev. B 55 9524-33
[BTW92] Basor E.L., Tracy C.A., and Widom H. 1992: Asymptotics of level-spacing distributions for random matrices, Phys. Rev. Lett. 69 5-8
[Baxt86] Baxter R.J. 1986: Free fermion, checkerboard and Z-invariant lattice models in statistical mechanics, Proc. Royal Soc. London A 404 1-33
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to be completed

7.5 Patents related to Quasicrystals

[P:DW] Dubois J.M. and Weinland P. 1993: Coating materials for metal alloys and metals and method, European Patent EP 0356287 A1 and US Patent 5204191
[P:SGAEMS] Shield J., Goldman A., Anderson I., Ellis T., McCallum R., and Sordelet D. 1995: Method of making quasicrystalline powders, protective coatings, and articles, US Patent 5433978

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