Publications

**Papers in Progress**

**[33]**Shi Li and Gabriel H. Tucci:

**Traffic Congestion in Expanders, $(p,\delta)$-Hyperbolic Spaces and Product of Trees**

**Papers in Submission**

**[32]**Gabriel H. Tucci and Phil A. Whiting:

**Asymptotic Results for the Maximum Magnitude of Random Polynomials with Roots on the Unit Circle**

**[31]**John D. Hobby, Mustafa K. Dogru and Gabriel H. Tucci:

**A Weather-Based Forecasting Method for Short-Term Aggregate Power Load**

**[30]**Matthew Andrews, Mustafa K. Dogru, John D. Hobby, Yue Jin, Gabriel H. Tucci:

**Modeling and Optimization for Electric Vehicle Charging Infrastructure**

**[29]**John D. Hobby and Gabriel H. Tucci:

**Traffic Analysis in Random Delaunay Triangulations and Other Grpahs**

**[28]**Iraj Saniee and Gabriel H. Tucci:

**Scaling of Congestion in Small World Networks**

**[27]**Gabriel H. Tucci and Ke Wang:

**New Methods for Handling Singular Sample Covariance Matrices**

**[26]**Yuliy Baryshnikov and Gabriel H. Tucci:

**Asymptotic traffic flow in an Hyperbolic Network: Definition and Properties of the Core**

**[25]**Gabriel H. Tucci:

**A Note on Averages over Gaussian Random Matrix Ensembles**

**Refereed Conference and Journal Papers**

**[24]**Gabriel H. Tucci and Phil A. Whiting:

**Asymptotic Behavior of the Maximum and Minimum Singular Value of Random Vandermonde Matrices**

**[23]**Gabriel H. Tucci:

**Non Hyperbolicity in Random Regular Graphs and their Traffic Characteristics**

**[22]**Gabriel H. Tucci and Ke Wang:

**An Innovative Approach for Analysing Rank Deficient Covariance Matrices**

**[21]**Gabriel H. Tucci and Phil A. Whiting:

**Behavior of the Minimum Singular Value of a Random Vandermonde Matrix**

**[20]**Peter Cogan, Matthew Andrews, Milan Bradonjic, Gabriel H. Tucci, Sean Kennedy and Alessandra Sala:

**Reconstruction and Analysis of Twitter Conversation Graphs**

**[19]**Yuliy Baryshnikov and Gabriel H. Tucci:

**Asymptotic Traffic Flow in a Hyperbolic Network**

**[18]**Onuttom Narayan, Iraj Saniee and Gabriel H. Tucci:

**Lack of Spectral Gap and Hyperbolicity in Asymptotic Erdos-Renyi Sparce Random Graphs**

**[17]**Alonso Silva and Gabriel H. Tucci:

**On the Spectral Gap of Random Geometric Graphs and Their Mobility Properties**

*Proceedings of the 7th International Conference on Mobile Ad-hoc and Sensor Networks*, pp. 215-222, 2011.

**Nominated for Best Paper Award.**[PDF]

**[16]**John D. Hobby and Gabriel H. Tucci:

**Analysis of the Residential, Commercial and Industrial Electricity Consumption**

*Proceedings of the IEEE International PES Innovative Smart Grid Technology Conference (ISGT2011 Asia)*, pp. 1-7, 2011. [PDF]

**[15]**Gabriel H. Tucci:

**Spectral Analysis of the Amplify and Forward Relay Network as the Number of Relay Layers Increases**

*Proceedings of the 8th International Symposium on Wireless Communication Systems (ISWCS)*, pp. 879-883, 2011.

**[14]**Gabriel H. Tucci and Philip A. Whiting:

**Asymptotic Results on Generalized Vandermonde Matrices and their Extreme Eigenvalues**

*Proceedings of the 49th Annual Allerton Conference on Communication, Control, and Computing*, pp. 1816-1823, 2011. [PDF]

**[13]**Gabriel H. Tucci:

**Asymptotics Products of Independent Gaussian Random Matrices with Correlated Entries**

*Electronic Communications in Probability*, vol. 16, pp. 353-364, 2011. [PDF]

**[12]**John D. Hobby, Alexander Shoshitaishvili and Gabriel H. Tucci:

**Analysis and Methodology to Segregate the Residential Electricity Consumption in Different Taxonomies**

*IEEE Transactions on the Smart Grid*, vol. 3, no. 1, pp. 217-224, 2011. [PDF]

**[11]**Thomas L. Marzetta, Gabriel H. Tucci and Steven H. Simon:

**A Random Matrix-Theoretic Approach to Handling Singular Covariance Estimates**

*IEEE Transactions on Information Theory*, vol. 57, no. 9, pp. 6256-6271, 2011. [PDF]

**[10]**Gabriel H. Tucci and Philip A. Whiting:

**Eigenvalue Results for Large Scale Random Vandermonde Matrices with Unit Complex Entries**

*IEEE Transactions on Information Theory*, vol. 57, no. 6, pp. 3938-3954, 2011. [PDF]

**[9]**Gabriel H. Tucci and Philip A. Whiting:

**Some Results for Random Vandermonde Matrices**

*Proceedings of the 48th Annual Allerton Conference on Communications, Control, and Computing*, 2010.

**[8]**Gabriel H. Tucci:

**Limit Laws for Geometric Means of Free Random Variables**

*Indiana Journal of Mathematics*, vol. 59, no. 1, pp. 1-13, 2010. [PDF]

**[7]**Gabriel H. Tucci:

**Some Quasinilpotent Generators of the Hyperfinite II_1 Factor**

*Journal of Functional Analysis*, vol. 254, pp. 2969-2994, 2008. [PDF]

**[6]**Ken Dykema and Gabriel H. Tucci:

**The Free Entropy Dimension of Some $L^{\infty}[0,1]$ Circular Operators**

*International Journal of Mathematics*, vol. 18, pp. 613-631, 2007. [PDF]

**[5]**Ken Dykema and Gabriel H. Tucci:

**Hyperinvariant Subspaces for Some B-Circular Operators**

*Math. Ann.*, vol. 333, pp. 485-523, 2005. [PDF]

**[4]**Miguel Griot, Gabriel Tucci, Pablo Belzarena and Santiago Remersaro:

**Analysis and Improvements to MATE Algorithm**

*IEEE International Performance, Computing, Communication Conference*, pp. 247-251, 2004. [PDF]

**[3]**Gabriel H. Tucci:

**Some Results in the Hyperinvariant Subspace Problem and Free Probability**

*Ph.D. dissertation*, Texas A&M University, 2008. [PDF]

**[2]**Gabriel H. Tucci:

**Traffic Engineering over MPLS**

*Electrical Engineering Thesis*, Instituto de Ingenieria Eléctrica, Facultad de Ingenieria, UDELAR, 2003. [PDF]

**[1]**Gabriel H. Tucci:

**Introduction to K-theory and Bott's Periodicity Theorem**

*Monografia Licenciatura*, Instituto de Matematica, Facultad de Ciencias, UDELAR, 2002. [PDF]

**Introduccion a los Sistemas Disipativos y el Teorema de la Pequena Ganancia**

*Control Robusto*, Instituto de Ingenieria Electrica, Facultad de Ingenieria, UDELAR, 2002. [PDF]

**Some recent talks**

**An Innovative Approach for Analysing Rank Deficient Covariance Matrices**

**Behavior of the Minimum Singular Value of a Random Vandermonde Matrix**

**On Random Vandermonde Matrices**

**Random Vandermonde Matrices and Covariance Estimates**

**Bialgebras in Free Probability**

**AFRL and AFOSR Technical Forum**

**Tutorial on hyperbolic metric spaces and their applications to modeling and traffic behavior of large complex real world networks (part 2)**

**Tutorial on hyperbolic metric spaces and their applications to modeling and traffic behavior of large complex real world networks (part 1)**

**Talk at ETSU**

**Talk at NEIU**

**Talk at University of Tennessee**

**Talk at KMS and AMS meeting**