Publications

• Wei Zhang, Timothy M. Garoni, and Youjin Deng, A worm algorithm for the fully-packed loop model, Nucl. Phys. B 814, 461-484 (2009). arxiv:0811.2042

• Timothy M. Garoni, Anthony J. Guttmann, Iwan Jensen, and John C. Dethridge, Prudent walks and polygons, J. Phys. A: Math. Theor. 42, 095205 (2009). arXiv:0810.3137

• Youjin Deng, Timothy M. Garoni, and Alan D. Sokal, Dynamic Critical Behavior of the Worm Algorithm for the Ising Model, Phys. Rev. Lett. 99, 110601 (2007). arXiv:cond-mat/0703787v2

• Youjin Deng, Timothy M. Garoni, Jonathan Machta, Giovanni Ossola, Marco Polin and Alan D. Sokal, Critical Behavior of the Chayes-Machta-Swendsen-Wang Dynamics, Phys. Rev. Lett. 99, 055701 (2007). arXiv:0705.2751v1

• Youjin Deng, Timothy M. Garoni, and Alan D. Sokal, Critical Speeding-Up in the Local Dynamics of the Random-Cluster Model, Phys. Rev. Lett. 98, 230602 (2007). arXiv:cond-mat/0701113v1

• Youjin Deng, Timothy M. Garoni, Wenan Guo, Henk W. J. Blöte, and Alan D. Sokal, Cluster Simulations of Loop Models on Two-Dimensional Lattices, Phys. Rev. Lett. 98, 120601 (2007). arXiv:cond-mat/0608447v3

• Youjin Deng, Timothy M. Garoni, and Alan D. Sokal, Ferromagnetic Phase Transition for the Spanning-Forest Model (q --> 0 Limit of the Potts Model) in Three or More Dimensions, Phys. Rev. Lett. 98, 030602 (2007). arXiv:cond-mat/0610193v2

• P. J. Forrester, N. E. Frankel and T. M. Garoni, Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
  J. Math. Phys. 47, 023301 (2006). arXiv:math-ph/0508031v1

• T. M. Garoni, P. J. Forrester and N. E. Frankel, Asymptotic corrections to the eigenvalue density of the GUE and LUE, J. Math. Phys. 46, 103301 (2005). arXiv:math-ph/0504053v1

• T. M. Garoni, On the asymptotics of some large Hankel determinants generated by Fisher-Hartwig symbols defined on the real line, J. Math. Phys. 46, 043516 (2005). arXiv:math-ph/0411019v2

• P. J. Forrester, N. E. Frankel and T. M. Garoni, Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions, J. Math. Phys. 44, 4157 (2003). arXiv:math-ph/0301042v2

• P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Finite one-dimensional impenetrable Bose systems: Occupation numbers, Phys. Rev. A. 67, 043607 (2003). arXiv:cond-mat/0211126v1

• P. J. Forrester, N. E. Frankel, T. M. Garoni and N. S. Witte, Painlevé Transcendent Evaluations of Finite System Density Matrices for 1d Impenetrable Bosons, Commun. Math. Phys. 238, 257 (2003). arXiv:math-ph/0207005v2

• T. M. Garoni and N. E. Frankel, On the ubiquity of the Lévy integral - its relationship with the generalized Euler-Jacobi series and their asymptotics beyond all orders, Fractals 11, 93 (2003). arXiv:math-ph/0211011v1

• T. M. Garoni and N. E. Frankel, d-dimensional Lévy flights: Exact and asymptotic, J. Math. Phys. 43, 5090 (2002).

• T. M. Garoni and N. E. Frankel, Lévy flights: Exact results and asymptotics beyond all orders, J. Math. Phys. 43, 2670 (2002).

• T. M. Garoni, N. E. Frankel and M. L. Glasser, Complete asymptotic expansions of the Fermi-Dirac integrals, J. Math. Phys. 42, 1860 (2001).

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