Algebraic random walks in the setting of symmetric functions

Reports on Mathematical Physics - Tập 79 - Trang 347-366 - 2017
Peter D. Jarvis1
1School of Physical Sciences (Mathematics and Physics), University of Tasmania, Private Bag 37, GPO, Hobart Tas 7001, Australia

Tài liệu tham khảo

Accardi, 1981, Topics in quantum probability, Phys. Rep., 77, 169, 10.1016/0370-1573(81)90070-3

Accardi, 2000, Quantum probability: An historical survey, Contemp. Math., 261, 145, 10.1090/conm/261/04138

Meyer, 1995, Quantum probability for probabilists, 1538, 10.1007/BFb0084701

Schürman, 1993, White noise for bialgebras, 1544, 10.1007/BFb0089237

Franz, 1999

Barndorff-Nielsen, 2006

Majid, 1995

Majid, 1993, Quantum Random Walks and Time Reversal, Int. J. Mod. Phys. A, 8, 4521, 10.1142/S0217751X93001818

Majid, 1994, Random walk and the heat equation on superspace and anyspace, J. Math. Phys., 35, 3753, 10.1063/1.530868

Biane, 1991, Quantum random walk on the dual of SU (n), Probab. Theory Rel., 89, 117, 10.1007/BF01225828

Ellinas, 2001, Quantum diffusions and Appell systems, J. Comput. Appl. Math., 133, 341, 10.1016/S0377-0427(00)00652-X

Ellinas, 2008, Hopf algebras, random walks and quantum master equations, J. Gen. Lie Theory Appl., 2, 147, 10.4303/jglta/S070310

Ellinas, 2001, Brownian motion on a smash line, JNMP. (Suppl), 8, 100, 10.2991/jnmp.2001.8.s.18

Ellinas, 2003, Random walk and diffusion on a smash line algebra, Infin. Dimens. Anal. Qu., 6, 245, 10.1142/S0219025703001158

Ellinas, 2005, On algebraic and Quantum Random Walks, 174

Konno, 2008, 309

Geissinger, 1977, Hopf Algebras of Symmetric Functions and Class Functions, 168, 10.1007/BFb0090017

Zelevinsky, 1981

Weyl, 1930

Fauser, 2004, A Hopf laboratory for symmetric functions, J. Phys. A: Math. Gen., 37, 1633, 10.1088/0305-4470/37/5/012

Fauser, 2014, Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters, J. Phys. A, 47, 44, 10.1088/1751-8113/47/20/205201

Fauser, 2010, Plethysms, replicated Schur functions and series, with applications to vertex operators, J. Phys. A, 43, 5202, 10.1088/1751-8113/43/40/405202

Sweedler, 1969

Brouder, 2004, Quantum field theory and Hopf algebra cohomology [formerly: Let's twist again], J. Phys. A., 37, 5895, 10.1088/0305-4470/37/22/014

Macdonald, 1979

Thibon, 1991, Hopf algebras of symmetric functions and tensor products of symmetric group representations, IJAC, 1, 207

Thibon, 1991, Coproduits de fonctions symétrique, C. R. Acad. Sci. Paris, t. 312, Série I, 553

Scharf, 1994, A Hopf algebra approach to inner plethysm, Adv. Math., 104, 30, 10.1006/aima.1994.1019

Fauser, 2006, New branching rules induced by plethysm, J. Phys A Gen., 39, 2611, 10.1088/0305-4470/39/11/006

Fauser, 2014, Ribbon Hopf algebras from group character rings, Linear Multilinear Algebra, 62, 749, 10.1080/03081087.2013.790385

Fauser, 2013, The Hopf algebra structure of the character rings of classical groups, J. Phys. A, 46, 035205, 10.1088/1751-8113/46/3/035205

Littlewood, 1940

Buch, 2000, The saturation conjecture (after A. Knutson and T. Tao). with an appendix by W. Fulton, Enseign. Math., 46, 43

de Beauregard Robinson, 1961

Chen, 1984, Algorithms for plethysm, Contemporary Math., 34, 109, 10.1090/conm/034/777698

Wybourne, 2004, ©Schur, An Interactive Program For Calculating Properties Of Lie Groups and Symmetric Functions, Technical report

Ablamowicz, 2003, SchurFkt, A Maple Package for the Hopf Algebra of Symmetric Functions

Fauser, 2006, The Dirichlet Hopf algebra of arithmetics, J. Knot Theor. Ramif., 1

Schmidt, 2002, Partition functions and symmetric polynomials, Am. J. Phys., 70, 53, 10.1119/1.1412643

Burge, 1974, Four correspondences between graphs and generalized Young tableaux, J. Comb. Theory (A), 17, 12, 10.1016/0097-3165(74)90024-7

Vershik, 2004, A new approach to the representation theory of the symmetric groups. II, Zapiski Nauchn. Semin. POMI, 307

Borodin, 2006, Markov processes on partitions, Probab. Theory Rel., 135, 84, 10.1007/s00440-005-0458-z

Thông tin
Thông tin xuất bản

Reports on Mathematical Physics

Tập 79

347-366

Thông tin tác giả