Two limiting regimes of interacting Bessel processes
暂无分享,去创建一个
[1] M. Fekete. Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten , 1918 .
[2] Feller William,et al. An Introduction To Probability Theory And Its Applications , 1950 .
[3] Haldane,et al. Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic Heisenberg chain with 1/r2 exchange. , 1988, Physical review letters.
[4] Shastry,et al. Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions. , 1988, Physical review letters.
[5] P. Couturier. Japan , 1988, The Lancet.
[6] Harmonic polynomials and peak sets of reflection groups , 1989 .
[7] Charles F. Dunkl,et al. Differential-difference operators associated to reflection groups , 1989 .
[8] Charles F. Dunkl,et al. Integral Kernels with Reflection Group Invariance , 1991, Canadian Journal of Mathematics.
[9] Lattice integrable systems of Haldane-Shastry type. , 1992, Physical review letters.
[10] H. Frahm. Spectrum of a spin chain with inverse square exchange , 1993, cond-mat/9303050.
[11] Integrable spin chain with reflecting end , 1996, cond-mat/9602105.
[12] M. Rösler. POSITIVITY OF DUNKL'S INTERTWINING OPERATOR , 1997 .
[13] P. Forrester,et al. The Calogero-Sutherland Model and Generalized Classical Polynomials , 1996, solv-int/9608004.
[14] M. Rösler. Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators , 1998 .
[15] Michael Voit,et al. Markov Processes Related with Dunkl Operators , 1998 .
[16] J. F. van Diejen,et al. Calogero-Moser- Sutherland Models , 2000 .
[17] Quantum Calogero-Moser models: integrability for all root systems , 2000, hep-th/0005277.
[18] Yuan Xu,et al. Orthogonal Polynomials of Several Variables: Subject index , 2001 .
[19] Neil O'Connell,et al. Eigenvalues of the Laguerre Process as Non-Colliding Squared Bessel Processes , 2001 .
[20] A. Edelman,et al. Matrix models for beta ensembles , 2002, math-ph/0206043.
[21] Makoto Katori,et al. Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems , 2004 .
[22] Alan Edelman,et al. Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics , 2005 .
[23] Bruno Schapira. The Heckman–Opdam Markov processes , 2006 .
[24] M. Katori,et al. Noncolliding Brownian Motion and Determinantal Processes , 2007, 0705.2460.
[25] Infinite systems of noncolliding generalized meanders and Riemann–Liouville differintegrals , 2005, math/0506187.
[26] C. Dunkl. Reflection groups in analysis and applications , 2008 .
[27] E. Youssfi,et al. The Dunkl intertwining operator , 2009 .
[28] P. Forrester. Log-Gases and Random Matrices (LMS-34) , 2010 .
[29] P. Graczyk,et al. Multidimensional Yamada-Watanabe theorem and its applications to particle systems , 2011, 1108.1459.
[30] M. Katori,et al. Noncolliding Squared Bessel Processes , 2010, 1008.0144.
[31] Seiji Miyashita,et al. Interacting particles on the line and Dunkl intertwining operator of type A: application to the freezing regime , 2012, 1202.5052.
[32] M. Katori. Determinantal Process Starting from an Orthogonal Symmetry is a Pfaffian Process , 2011, 1104.1864.
[33] M. Katori. Elliptic determinantal process of type A , 2013, 1311.4146.