Name: Dr Tim Garoni

Title: Associate Professor, School of Mathematical Sciences

Affiliation: Monash University

One of Tim’s main interests is the application of Markov-chain Monte Carlo methods to problems in statistical mechanics, especially to the study of critical phenomena. This involves developing, and rigorously analyzing, new Monte Carlo algorithms for studying discrete/combinatorial models in equilibrium statistical mechanics, such as the Ising and Potts models. It also involves studying systems far from equilibrium, such as traffic models, by simulating stochastic cellular automata.

BSc (Hon) School of Physics, The University of Melbourne 2000

PhD School of Physics, The University of Melbourne 2003

Member of the American Mathematical Society (AMS).

Member of the Australian Mathematical Society (AustMS), and ANZIAM.

Secretary of the Australian and New Zealand Association of Mathematical Physics

Awarded April 2015 – ARC Centre of Excellence, ARC Centre of Excellence for Mathematical & Statistical Frontiers. Project ID: CE140100049. I am one of 19 Chief Investigators.

Awarded Nov 2013 – ARC Discovery Project, Finite Markov chains in statistical mechanics and combinatorics. Project ID: DP140100559. Timothy M. Garoni (Chief Investigator), Greg Markowsky (Chief Investigator), and Andrea Collevecchio (Chief Investigator).

Awarded Nov 2011 – ARC Linkage Project, Modelling large urban transport networks using stochastic cellular automata. Project ID: LP120100258. Timothy M. Garoni (Chief Investigator), Jan de Gier (Chief Investigator), Andreas Schadschneider (Partner Investigator), and VicRoads (Partner Organization).

Awarded Nov 2010 – ARC Future Fellowship, Design, analysis and application of Monte Carlo methods in statistical mechanics. Project ID: FT100100494.

Awarded Oct 2010 – ARC Discovery Project, Design, analysis and application of Monte Carlo algorithms in statistical mechanics. Project ID: DP110101141. Timothy M. Garoni (Chief Investigator), Alan Sokal (Partner Investigator) and Youjin Deng (Partner Investigator).

Journal Articles

 

Published

  1. Zongzheng Zhou, Xiao Xu, Timothy M. Garoni, and Youjin Deng, Leaf-excluded percolation in two and three dimensions, Physical Review E 91, 022140 (2015).
  2. Lele Zhang, Jan de Gier, and Timothy M. Garoni, Tra_c disruption and recovery in road networks, Physica A 401, 82-102 (2014).
  3. Xiao Xu, Junfeng Wang, Zongzheng Zhou, Timothy M. Garoni, and Youjin Deng, Geometric structure of percolation clusters, Physical Review E 89, 012120 (2014).
  4. Junfeng Wang, Zongzheng Zhou, Wei Zhang, Timothy M. Garoni, and Youjin Deng, Bond and Site Percolation in Three Dimensions, Physical Review E 87, 052107 (2013).
  5. Junfeng Wang, Zongzheng Zhou, Qingquan Liu, Timothy M. Garoni, Youjin Deng, High-precision Monte Carlo study of directed percolation in (d + 1) dimensions, Phys. Rev. E 88, 042102 (2013).
  6. Lele Zhang, Timothy M. Garoni, and Jan de Gier, A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive tra_c signal systems, Transportation Research Part B 49, 1-23 (2013).
  7. Jian-Ping Lv, Timothy M. Garoni, and Youjin Deng, Phase transitions in XY antiferromagnets on plane triangulations, Physical Review B 87, 024108 (2013).
  8. Nicholas R. Beaton, Philippe Flajolet, Timothy M. Garoni, and Anthony J. Guttmann, Some New Self-avoiding Walk and Polygon Models, Fundamenta Informaticae 117, 19-33 (2012).
  9. Qingquan Liu, Youjin Deng, Timothy M Garoni, and Henk W J Blote, The O(n) loop model on a three-dimensional lattice, Nuclear Physics B 859, 107-128 (2012).
  10. Timothy M. Garoni, Giovanni Ossola, Marco Polin, and Alan D. Sokal, Dynamic Critical Behavior of the Chayes-Machta Algorithm for the Random-Cluster Model. I. Two Dimensions. Journal of Statistical Physics 144, 459-518 (2011).
  11. Jan de Gier, Timothy M. Garoni, and Omar Rojas, Tra_c ow on realistic road networks with adaptive tra_c lights, Journal of Statistical Mechanics P04008 (2011).
  12. Qingquan Liu, Youjin Deng, and Timothy M. Garoni, Worm Monte Carlo study of the honeycomb lattice loop model, Nuclear Physics B 846, 283-315 (2011).
  13. Jan de Gier, Timothy M. Garoni, and Zongzheng Zhou, Autocorrelations in the totally asymmetric simple exclusion process and Nagel-Schreckenberg model, Physical Review E 82, 021107 (2010).
  14. Youjin Deng,Wei Zhang, Timothy M. Garoni, Alan D. Sokal, and Andrea Sportiello, Some geometric critical exponents for percolation and the random-cluster model, Physical Review E 81, 020102(R) (2010).
  15. Wei Zhang, Timothy M. Garoni, and Youjin Deng, A worm algorithm for the fully-packed loop model, Nuclear Physics B 814, 461-484 (2009).
  16. Timothy M. Garoni, Anthony J. Guttmann, Iwan Jensen, and John C. Dethridge, Prudent walks and polygons, Journal of Physics A: Mathematical and Theoretical 42, 095205 (2009).
  17. Youjin Deng, Timothy M. Garoni, and Alan D. Sokal, Dynamic critical behavior of the worm algorithm for the Ising model, Physical Review Letters 99, 110601 (2007).
  18. Youjin Deng, Timothy M. Garoni, Jonathan Machta, Giovanni Ossola, Marco Polin, and Alan D. Sokal, Critical Behavior of the Chayes-Machta-Swendsen-Wang Dynamics, Physical Review Letters 99, 055701 (2007).
  19. Youjin Deng, Timothy M. Garoni, and Alan D. Sokal, Critical Speeding-Up in the Local Dynamics of the Random-Cluster Model, Physical Review Letters 98, 230602 (2007).
  20. Youjin Deng, Timothy M. Garoni, Wenan Guo, Henk W. J. Blote, and Alan D. Sokal, Cluster Simulations of Loop Models on Two-Dimensional Lattices, Physical Review Letters 98, 120601 (2007).
  21. 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, Physical Review Letters 98, 030602 (2007).
  22. J. Forrester, N. E. Frankel, and T. M. Garoni, Asymptotic form of the density pro_le for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry, Journal of Mathematical Physics 47, 023301 (2006).
  23. M. Garoni, P. J. Forrester, and N. E. Frankel, Asymptotic corrections to the eigenvalue density of the GUE and LUE, Journal of Mathematical Physics 46, 103301 (2005).
  24. M. Garoni, On the asymptotics of some large Hankel determinants generated by Fisher-Hartwig symbols de_ned on the real line, Journal of Mathematical Physics 46, 043516 (2005).
  25. J. Forrester, N. E. Frankel, and T. M. Garoni, Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions, Journal of Mathematical Physics 44, 4157 (2003).
  26. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Finite one-dimensional impenetrable Bose systems: Occupation numbers, Physical Review A 67, 043607 (2003).
  27. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Painlev_e Transcendent Evaluations of Finite System Density Matrices for 1d Impenetrable Bosons, Communications in Mathematical Physics 238, 257 (2003).
  28. M. Garoni and N. E. Frankel, On the ubiquity of the L_evy integral { its relationship with the generalized Euler-Jacobi series and their asymptotics beyond all orders, Fractals 11, 93 (2003).
  29. M. Garoni and N. E. Frankel, d-dimensional L_evy ights: Exact and asymptotic, Journal of Mathematical Physics 43, 5090 (2002).
  30. M. Garoni and N. E. Frankel, L_evy ights: Exact results and asymptotics beyond all orders, Journal of Mathematical Physics 43, 2670 (2002).
  31. M. Garoni, N. E. Frankel, and M. L. Glasser, Complete asymptotic expansions of the Fermi-Dirac integrals, Journal of Mathematical Physics 42, 1860 (2001).

In Press

Long T. Truong, Majid Sarvi, Graham Currie, and Timothy M. Garoni, Required Tra_c Micro-simulation Runs for Reliable Multivariate Performance Estimates, Journal of Advanced Transportation, In press.

 

 

Conference Papers

  1. Lele Zhang, Somayeh Shiri and Timothy Garoni, A Study of Aggregated Speed in Road Networks Using Cellular Automata, ACRI 2014, In Lecture Notes in Computer Science 8751, 596. Springer, (2014).
  2. Lele Zhang and Timothy Garoni, Modeling disruption and recovery of tra_c in road networks, ACRI 2014, In Lecture Notes in Computer Science 8751, 640. Springer, (2014).
  3. Ronny Kutadinata, Will Moase, Chris Manzie, Lele Zhang and Tim Garoni, Extremum-Seeking for Adaptation of Urban Tra_c Signal Control, Proceedings of the IFAC World Congress, Cape Town, South Africa (2014).