The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.
Rainer SchimmingFachrichtung Mathematik, Ernst-Moritz-Arndt-UniversitätHenrik SchlichtkrullDepartment of Mathematics and Physics, The Royal Veterinary and Agricultural University
James CollianderDepartment of Mathematics, University of TorontoGigliola StaffilaniDepartment of Mathematics, Massachusetts Institute of TechnologyMarkus KeelDepartment of Mathematics, University of Minnesota Twin CitiesHideo TakaokaDepartment of Mathematics Faculty of Science, Kobe UniversityTerence TaoDepartment of Mathematics, University of California
Bodil Branner · John H Hubbard. The iteration of cubic polynomials Part II: patterns and parapatterns. 1992.
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Kiwi J. Real laminations and the topological dynamics of complex polynomials[J]. Advances in Mathematics, 2004, 184(2): 207-267.
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Qiu W, Yin Y. Proof of the Branner-Hubbard conjecture on Cantor Julia sets[J]. Science China-mathematics, 2008, 52(1): 45-65.
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Dujardin R, Favre C. Distribution of rational maps with a preperiodic critical point[J]. American Journal of Mathematics, 2008, 130(4): 979-1032.
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Fritz Von Haeseler · Heinzotto Peitgen. Newton’s Method and Complex Dynamical Systems. 1988.
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Mcmullen C T. Frontiers in Complex Dynamics[J]. Bulletin of the American Mathematical Society, 1994, 31(2): 155-172.
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Blanchard P, Devaney R L, Keen L, et al. The dynamics of complex polynomials and automorphisms of the shift[J]. Inventiones Mathematicae, 1991, 104(1): 545-580.
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Nakane S, Schleicher D. ON MULTICORNS AND UNICORNS I: ANTIHOLOMORPHIC DYNAMICS, HYPERBOLIC COMPONENTS AND REAL CUBIC POLYNOMIALS[J]. International Journal of Bifurcation and Chaos, 2003, 13(10): 2825-2844.
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Kiwi J. Rational rays and critical portraits of complex polynomials[C]., 1997.
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Demarco L, Mcmullen C T. Trees and the dynamics of polynomials[J]. Annales Scientifiques De L Ecole Normale Superieure, 2006, 41(3): 337-382.