메뉴 건너뛰기




Volumn 3, Issue , 2007, Pages

Hidden symmetries of stochastic models

Author keywords

Askey Wilson polynomials; Stohastic models; Tridiagonal algebra

Indexed keywords


EID: 84889236642     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2007.068     Document Type: Article
Times cited : (2)

References (30)
  • 2
    • 35949007716 scopus 로고
    • Discrete stochastic models for traffic flow
    • cond-mat/9412045
    • Schreckenberg M., Schadschneider A., Nagel K., Ito N., Discrete stochastic models for traffic flow, Phys. Rev. E 51 (1995), 2939-2949, cond-mat/9412045.
    • (1995) Phys. Rev. E , vol.51 , pp. 2939-2949
    • Schreckenberg, M.1    Schadschneider, A.2    Nagel, K.3    Ito, N.4
  • 3
    • 0014245158 scopus 로고
    • Kinetics of biopolymerization on nucleic acid templates
    • Macdonald J.T., Gibbs J.H., Pipkin A.C., Kinetics of biopolymerization on nucleic acid templates, Biopolymers 6 (1968), 1-25.
    • (1968) Biopolymers , vol.6 , pp. 1-25
    • Macdonald, J.T.1    Gibbs, J.H.2    Pipkin, A.C.3
  • 4
    • 0003067890 scopus 로고
    • Kinetic roughening of growing surfaces
    • Editor C. Godreche, Cambridge University Press, Cambridge
    • Krug J., Spohn H., Kinetic roughening of growing surfaces, in Solids Far from Equilibrium, Editor C. Godreche, Cambridge University Press, Cambridge, 1991, 412-525.
    • (1991) Solids Far from Equilibrium , pp. 412-525
    • Krug, J.1    Spohn, H.2
  • 5
    • 84957348356 scopus 로고
    • q(SU(2))-symmetric driven diffusion
    • cond-mat/9307027
    • q(SU(2))-symmetric driven diffusion, Europhys. Lett. 26 (1994), 7-13, cond-mat/9307027.
    • (1994) Europhys. Lett. , vol.26 , pp. 7-13
    • Sandow, S.1    Schuetz, G.M.2
  • 6
    • 36149030302 scopus 로고
    • Exact solution of a 1D asymmetric exclusion model using a matrix formulation
    • Derrida B., Evans M.R., Hakim V., Pasquier V., Exact solution of a 1D asymmetric exclusion model using a matrix formulation, J. Phys. A: Math. Gen. 26 (1993), 1493-1517.
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 1493-1517
    • Derrida, B.1    Evans, M.R.2    Hakim, V.3    Pasquier, V.4
  • 7
    • 0002214237 scopus 로고    scopus 로고
    • An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
    • (and references therein)
    • Derrida B., An exactly soluble non-equilibrium system: the asymmetric simple exclusion process, Phys. Rep. 301 (1998), 65-83 (and references therein).
    • (1998) Phys. Rep , vol.301 , pp. 65-83
    • Derrida, B.1
  • 8
    • 0040629192 scopus 로고
    • Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model
    • cond-mat/9303038
    • Schuetz G.M., Domany E., Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model, J. Stat. Phys. 72 (1993), 277-296, cond-mat/9303038.
    • (1993) J. Stat. Phys , vol.72 , pp. 277-296
    • Schuetz, G.M.1    Domany, E.2
  • 9
    • 12044250009 scopus 로고
    • Boundary-induced phase transitions in driven diffusive systems
    • Krug J., Boundary-induced phase transitions in driven diffusive systems, Phys. Rev. Lett. 67 (1991), 1882-1885.
    • (1991) Phys. Rev. Lett , vol.67 , pp. 1882-1885
    • Krug, J.1
  • 11
    • 0036477922 scopus 로고    scopus 로고
    • The noncommutative space of stochastic diffusion systems
    • Aneva B., The noncommutative space of stochastic diffusion systems, J. Phys. A: Math. Gen. 35 (2002), 859-877.
    • (2002) J. Phys. A: Math. Gen , vol.35 , pp. 859-877
    • Aneva, B.1
  • 12
    • 0001761916 scopus 로고    scopus 로고
    • Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries
    • cond-mat/9506131
    • Essler F.H.L., Rittenberg V., Representations of the quadratic algebra and partially asymmetric diffusion with open boundaries, J. Phys. A: Math. Gen. 29 (1996), 3375-3407, cond-mat/9506131.
    • (1996) J. Phys. A: Math. Gen , vol.29 , pp. 3375-3407
    • Essler, F.H.L.1    Rittenberg, V.2
  • 13
    • 0032559150 scopus 로고    scopus 로고
    • Stochastic models on a ring and quadratic algebras. The three-species diffusion problem
    • cond-mat/9703182
    • Arndt P.F., Heinzel T., Rittenberg V., Stochastic models on a ring and quadratic algebras. The three-species diffusion problem, J. Phys. A: Math. Gen. 31 (1998), 833-843, cond-mat/9703182.
    • (1998) J. Phys. A: Math. Gen , vol.31 , pp. 833-843
    • Arndt, P.F.1    Heinzel, T.2    Rittenberg, V.3
  • 14
    • 0002884115 scopus 로고
    • Multiparameter associative generalizations of canonical commutation relations and quantized planes
    • Fairlie D., Zachos C., Multiparameter associative generalizations of canonical commutation relations and quantized planes, Phys. Lett. B 256 (1991), 43-49.
    • (1991) Phys. Lett. B , vol.256 , pp. 43-49
    • Fairlie, D.1    Zachos, C.2
  • 15
    • 44949285483 scopus 로고
    • Covariant differential calculus on the quantum hyperplane
    • Wess J., Zumino B., Covariant differential calculus on the quantum hyperplane, Nucl. Phys. B, Proc. Suppl. 18 (1990), 302-312.
    • (1990) Nucl. Phys. B, Proc. Suppl , vol.18 , pp. 302-312
    • Wess, J.1    Zumino, B.2
  • 16
    • 0034737220 scopus 로고    scopus 로고
    • Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
    • Blythe R.A., Evans M.R., Colaiori F., Essler F.H.L., Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra, J. Phys. A: Math. Gen. 33 (2000), 2313-2332.
    • (2000) J. Phys. A: Math. Gen , vol.33 , pp. 2313-2332
    • Blythe, R.A.1    Evans, M.R.2    Colaiori, F.3    Essler, F.H.L.4
  • 17
    • 0001574849 scopus 로고
    • Partially asymmetric exclusion process with open boundaries
    • cond-mat/9405073
    • Sandow S., Partially asymmetric exclusion process with open boundaries, Phys. Rev. E 50 (1994), 2660-2667, cond-mat/9405073.
    • (1994) Phys. Rev. E , vol.50 , pp. 2660-2667
    • Sandow, S.1
  • 18
    • 0001043453 scopus 로고
    • Application of operator algebras to stochastic dynamics and the Heisenberg chain
    • Stinchcombe R.B., Schuetz G.M., Application of operator algebras to stochastic dynamics and the Heisenberg chain, Phys. Rev. Lett. 75 (1995), 140-143.
    • (1995) Phys. Rev. Lett , vol.75 , pp. 140-143
    • Stinchcombe, R.B.1    Schuetz, G.M.2
  • 19
    • 36749115321 scopus 로고
    • Hilbert spaces of analytic functions and generalized coherent states
    • Arik M., Coon D.D., Hilbert spaces of analytic functions and generalized coherent states, J. Math. Phys. 17 (1976), 524-527.
    • (1976) J. Math. Phys , vol.17 , pp. 524-527
    • Arik, M.1    Coon, D.D.2
  • 21
    • 0002510281 scopus 로고
    • Quantum Lie superalgebras and q-oscillators
    • Chaichian M., Kulish P.P., Quantum Lie superalgebras and q-oscillators, Phys. Lett. B 234 (1990), 72-80.
    • (1990) Phys. Lett. B , vol.234 , pp. 72-80
    • Chaichian, M.1    Kulish, P.P.2
  • 22
    • 0033569137 scopus 로고    scopus 로고
    • One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach
    • Sasamoto T., One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach, J. Phys. A: Math. Gen. 32 (1999), 7109-7131.
    • (1999) J. Phys. A: Math. Gen , vol.32 , pp. 7109-7131
    • Sasamoto, T.1
  • 23
    • 2442706466 scopus 로고    scopus 로고
    • Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials
    • cond-mat/0312457
    • Uchiyama M., Sasamoto T., Wadati M., Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials, J. Phys. A: Math. Gen. 37 (2004), 4985-5002, cond-mat/0312457.
    • (2004) J. Phys. A: Math. Gen , vol.37 , pp. 4985-5002
    • Uchiyama, M.1    Sasamoto, T.2    Wadati, M.3
  • 24
    • 1542755349 scopus 로고
    • Hidden symmetry of Askey-Wilson polynomials
    • Zhedanov A.S., Hidden symmetry of Askey-Wilson polynomials, Teoret. Mat. Fiz. 89 (1991), 190-204.
    • (1991) Teoret. Mat. Fiz , vol.89 , pp. 190-204
    • Zhedanov, A.S.1
  • 25
    • 22244440285 scopus 로고
    • Mutual integrability, quadratic algebras and dynamical symmetry
    • Granovskii Y.A., Lutsenko I.M., Zhedanov A.S., Mutual integrability, quadratic algebras and dynamical symmetry, Ann. Physics 217 (1992), 1-20.
    • (1992) Ann. Physics , vol.217 , pp. 1-20
    • Granovskii, Y.A.1    Lutsenko, I.M.2    Zhedanov, A.S.3
  • 26
    • 33750171449 scopus 로고    scopus 로고
    • An algebraic approach to the Askey scheme of orthogonal polynomials
    • Editors F. Marcellan and W.V. Assche, Springer, Berlin
    • Terwilliger P., An algebraic approach to the Askey scheme of orthogonal polynomials, Lecture Notes in Mathematics, Vol. 1883, Editors F. Marcellan and W.V. Assche, Springer, Berlin, 2006, 225-330.
    • (2006) Lecture Notes in Mathematics , vol.1883 , pp. 225-330
    • Terwilliger, P.1
  • 27
    • 0012657956 scopus 로고    scopus 로고
    • Two relations that generalize the q-Serre relations and the Dolan-Grady relations
    • Editors A.N. Kirillov, A. Tsuchiya and H. Umemura, World Sci. Pub., River Edge, NJ, math.QA/0307016
    • Terwilliger P., Two relations that generalize the q-Serre relations and the Dolan-Grady relations, Proceedings of the Nagoya 1999 International Workshop on Physics and Combinatorics, Editors A.N. Kirillov, A. Tsuchiya and H. Umemura, World Sci. Pub., River Edge, NJ, 2001, 377-398, math.QA/0307016.
    • (2001) Proceedings of the Nagoya 1999 International Workshop on Physics and Combinatorics , pp. 377-398
    • Terwilliger, P.1
  • 28
    • 0000426640 scopus 로고
    • Conserved charges from self-duality
    • Dolan L., Grady M., Conserved charges from self-duality, Phys. Rev. D25 (1982), 1587-1604.
    • (1982) Phys. Rev , vol.D , pp. 1587-1604
    • Dolan, L.1    Grady, M.2
  • 29
    • 0001308382 scopus 로고
    • Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
    • 55 pages
    • Askey R.A., Wilson J.A., Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. (1985), no. 319, 55 pages.
    • (1985) Mem. Amer. Math. Soc , Issue.319
    • Askey, R.A.1    Wilson, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.