Asymptotics of bivariate generating functions with algebraic singularities
暂无分享,去创建一个
[1] Robin Pemantle,et al. Quantum random walks in one dimension via generating functions , 2007 .
[2] Julia Kempe,et al. Quantum random walks: An introductory overview , 2003, quant-ph/0303081.
[3] Bernard Mourrain,et al. Explicit factors of some iterated resultants and discriminants , 2006, Math. Comput..
[4] R. Kenyon,et al. Limit shapes and the complex Burgers equation , 2005, math-ph/0507007.
[5] Zhicheng Gao,et al. Central and local limit theorems applied to asymptotic enumeration IV: multivariate generating functions , 1992 .
[6] Etsuo Segawa,et al. One-dimensional three-state quantum walk. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[7] Yuliy Baryshnikov,et al. Asymptotics of multivariate sequences, part III: Quadratic points , 2008 .
[8] Timothy DeVries. Algorithms for Bivariate Singularity Analysis , 2011 .
[9] Barry C. Sanders,et al. Quantum walks in higher dimensions , 2002 .
[10] Mark C. Wilson,et al. Asymptotics of Multivariate Sequences II: Multiple Points of the Singular Variety , 2004, Combinatorics, Probability and Computing.
[11] Joris van der Hoeven,et al. Automatic asymptotics for coefficients of smooth, bivariate rational functions , 2011 .
[12] Vivien M. Kendon,et al. Decoherence in quantum walks – a review , 2006, Mathematical Structures in Computer Science.
[13] R. Pemantle,et al. Asymptotics of Multivariate Sequences, part I. Smooth points of the singular variety , 2000 .
[14] Robin Pemantle,et al. Quantum random walk on the integer lattice: examples and phenomena , 2009, 0903.2967.
[15] K. Shadan,et al. Available online: , 2012 .
[16] Norio Konno,et al. Localization of two-dimensional quantum walks , 2004 .
[17] Mark C. Wilson,et al. Analytic Combinatorics in Several Variables , 2013 .
[18] Salvador Elías Venegas-Andraca,et al. Quantum Walks for Computer Scientists , 2008, Quantum Walks for Computer Scientists.
[19] Hsien-Kuei Hwang,et al. Large deviations for combinatorial distributions. I. Central limit theorems , 1996 .
[20] Andris Ambainis,et al. Quantum walks driven by many coins , 2002, quant-ph/0210161.
[21] Philippe Flajolet,et al. Singularity Analysis of Generating Functions , 1990, SIAM J. Discret. Math..
[22] Yuliy Baryshnikov,et al. Two-dimensional Quantum Random Walk , 2008, Journal of Statistical Physics.
[23] Mourad E. H. Ismail,et al. Three routes to the exact asymptotics for the one-dimensional quantum walk , 2003, quant-ph/0303105.
[24] Hsien-Kuei Hwang,et al. LARGE DEVIATIONS OF COMBINATORIAL DISTRIBUTIONS II. LOCAL LIMIT THEOREMS , 1998 .
[25] Edward A. Bender,et al. Central and Local Limit Theorems Applied to Asymptotic Enumeration II: Multivariate Generating Functions , 1983, J. Comb. Theory, Ser. A.
[26] Aharonov,et al. Quantum random walks. , 1993, Physical review. A, Atomic, molecular, and optical physics.
[27] A. D. Osborne,et al. The generation of all rational orthogonal matrices , 1991 .
[28] Marina Weber,et al. Using Algebraic Geometry , 2016 .
[29] Timothy DeVries. A case study in bivariate singularity analysis , 2010 .
[30] D. Meyer. From quantum cellular automata to quantum lattice gases , 1996, quant-ph/9604003.
[31] Andris Ambainis,et al. One-dimensional quantum walks , 2001, STOC '01.
[32] M. Goresky,et al. Stratified Morse theory , 1988 .