Journal Articles

• Eren Metin Elci and Timothy M Garoni, Critical speeding-up in dynamical percolation, J. Stat. Mech. 073210 (2024). arXiv:2402.08927 (2024).

• Youjin Deng, Timothy M Garoni, Jens Grimm and Zongzheng Zhou, Two-point functions of random-length random walk on high-dimensional boxes, J. Stat. Mech. 023203 (2024). arXiv:2008.00913v2 (2023).

• Youjin Deng, Timothy M Garoni, Jens Grimm and Zongzheng Zhou, Unwrapped two-point functions on high dimensional tori, J. Stat. Mech. P053208 (2022). arXiv:2203.05100

• Reza Mohajerpoor, Meead Saberi, Hai L. Vu, Timothy M. Garoni and Mohsen Ramezani, H_∞ robust perimeter flow control in urban networks with partial information feedback, Transportation Research Part B 137, 47-73 (2020).

• Youjin Deng, Timothy M Garoni, Jens Grimm, Abrahim Nasrawi and Zongzheng Zhou, The length of self-avoiding walks on the complete graph, J. Stat. Mech. P103206 (2019). arXiv:1906.06126

• Zongzheng Zhou, Jens Grimm, Sheng Fang, Youjin Deng and Timothy M. Garoni, Random-Length Random Walks and Finite-Size Scaling in High Dimensions, Phys. Rev. Lett. 121, 185701 (2018). arXiv:1809.00515 .

• Eren Metin Elci, Jens Grimm, Lijie Ding, Abrahim Nasrawi, Timothy M. Garoni and Youjin Deng, Lifted worm algorithm for the Ising model, Phys. Rev. E 97, 042126 (2018). arXiv:1711.05346 .

• Lele Zhang, Caley Finn, Timothy M. Garoni and Jan de Gier, Behaviour of traffic on a link with traffic light boundaries, Physica A 503, 116-138 (2018). arXiv:1804.04086 .

• Andrea Collevecchio, Eren Metin Elci, Timothy M. Garoni and Martin Weigel, On the Coupling Time of the Heat-Bath Process for the Fortuin-Kasteleyn Random-Cluster Model J. Stat. Phys. 170, 22-61 (2018). arXiv:1705.07189 .

• Jens Grimm, Eren Metin Elci, Zongzheng Zhou, Timothy M. Garoni and Youjin Deng, Geometric explanation of anomalous finite-size scaling in high dimensions Phys. Rev. Lett. 118, 115701 (2017). arXiv:1612.01722 .

• Lele Zhang, Callum Stuart, Samithree Rajapaksha, Gentry White and Timothy M. Garoni, Study of Cross-Correlations in Traffic Networks with Applications to Perimeter Control Transportation Research Record 2623, 108-116 (2017).

• Andrea Collevecchio, Timothy M. Garoni, Timothy Hyndman and Daniel Tokarev, The worm process for the Ising model is rapidly mixing J. Stat. Phys. 164, 1082-1102 (2016). arXiv:1509.03201v1 .

• Ronny Kutadinata, Will Moase, Chris Manzie, Lele Zhang, and Tim Garoni, Enhancing the performance of existing urban traffic light control through extremum-seeking Transportation Research Part C 62, 1-20 (2016).

• Long T. Truong, Majid Sarvi, Graham Currie and Timothy M. Garoni, Required traffic micro-simulation runs for reliable multivariate performance estimates J. Adv. Transp. 50, 296-314 (2016).

• Zongzheng Zhou, Xiao Xu, Timothy M. Garoni and Youjin Deng, Leaf-excluded percolation in two and three dimensions Phys. Rev. E 91, 022140 (2015). arxiv:1407.1927 .

• Lele Zhang, Jan de Gier, and Timothy M. Garoni, Traffic disruption and recovery in road networks Physica A 401, 82-102 (2014). arXiv:1311.0230 .

• Xiao Xu, Junfeng Wang, Zongzheng Zhou, Timothy M. Garoni, and Youjin Deng, Geometric structure of percolation clusters Phys. Rev. E 89, 012120 (2014). arXiv:1309.7244.

• Junfeng Wang, Zongzheng Zhou, Qingquan Liu, Timothy M. Garoni, and Youjin Deng, High-precision Monte Carlo study of directed percolation in (d + 1) dimensions Phys. Rev. E 88, 042102 (2013). arXiv:1201.3006.

• Junfeng Wang, Zongzheng Zhou, Wei Zhang, Timothy M. Garoni, and Youjin Deng, Bond and Site Percolation in Three Dimensions, Phys. Rev. E 87, 052107 (2013). arXiv:1302.0421.

• Lele Zhang, Timothy M. Garoni, and Jan de Gier, A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive traffic signal systems, Transportation Research Part B 49, 1-23 (2013). arXiv:1112.3761.

• Jian-Ping Lv, Timothy M. Garoni, and Youjin Deng, Phase transitions in XY antiferromagnets on plane triangulations, Phys. Rev. B 87, 024108 (2013). arXiv:1201.4309.

• 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).

• Qingquan Liu, Youjin Deng, Timothy M Garoni, and Henk W J Blöte, The O(n) loop model on a three-dimensional lattice, Nucl. Phys. B 859, 107-128 (2012). arXiv:1112.5647

• 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. J. Stat. Phys. 144, 459-518 (2011). arXiv:1105.0373

• Jan de Gier, Timothy M. Garoni, and Omar Rojas, Traffic flow on realistic road networks with adaptive traffic lights, J. Stat. Mech. P04008 (2011). arXiv:1011.6211

• Qingquan Liu, Youjin Deng, and Timothy M. Garoni, Worm Monte Carlo study of the honeycomb-lattice loop model, Nucl. Phys. B 846, 283-315 (2011). arXiv:1011.1980

• Jan de Gier, Timothy M. Garoni, and Zongzheng Zhou, Autocorrelations in the totally asymmetric simple exclusion process and Nagel-Schreckenberg model, Phys. Rev. E 82, 021107 (2010). arXiv:1001.2081

• Youjin Deng, Wei Zhang, Timothy M. Garoni, Alan D. Sokal, and Andrea Sportiello, Some geometric critical exponents for percolation and the random-cluster model, Phys. Rev. E 81, 020102(R) (2010). arXiv:0904.3448

• 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).

Conference Proceedings

• Andrea Bedini, Lele Zhang and Timothy M. Garoni, A Case Study of a Continuous Flow Intersection and Its Impact on Public Transport, 2017 IEEE 20th International Conference on Intelligent Transportation Systems (ITSC): Workshop, 959-964 (2018).

• Long T. Truong, Majid Sarvi, Graham Currie and Timothy M. Garoni, How Many Simulation Runs are Required to Achieve Statistically Confident Results? A case study of simulation-based surrogate safety measures, Proceedings of the 2015 IEEE 18th International Conference on Intelligent Transportation Systems (2015).

• 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).

• Lele Zhang and Timothy Garoni, Modeling disruption and recovery of traffic in road networks, ACRI 2014, In Lecture Notes in Computer Science 8751, 640. Springer, (2014).

• Ronny Kutadinata, Will Moase, Chris Manzie, Lele Zhang and Tim Garoni, Extremum-Seeking for Adaptation of Urban Traffic Signal Control, Proceedings of the IFAC World Congress, Cape Town, South Africa (2014).

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