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Gabriel H. Tucci

Member of Technical Staff (Research)
Industrial Mathematics and Operations Research
Bell Laboratories, Alcatel-Lucent
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
submitted to Electronic Communications in Probability. [PDF]

[31] John D. Hobby, Mustafa K. Dogru and Gabriel H. Tucci:
A Weather-Based Forecasting Method for Short-Term Aggregate Power Load
submitted to IEEE Trans. in Power Systems. [PDF]

[30] Matthew Andrews, Mustafa K. Dogru, John D. Hobby, Yue Jin, Gabriel H. Tucci:
Modeling and Optimization for Electric Vehicle Charging Infrastructure
submitted to Innovative Smart Grid Technologies Conference 2013. [PDF]

[29] John D. Hobby and Gabriel H. Tucci:
Traffic Analysis in Random Delaunay Triangulations and Other Grpahs
preprint at http://arxiv.org/abs/1203.4863.

[28] Iraj Saniee and Gabriel H. Tucci:
Scaling of Congestion in Small World Networks
preprint at http://arxiv.org/abs/1201.4291.

[27] Gabriel H. Tucci and Ke Wang:
New Methods for Handling Singular Sample Covariance Matrices
preprint at http://arxiv.org/abs/1111.0235.

[26] Yuliy Baryshnikov and Gabriel H. Tucci:
Asymptotic traffic flow in an Hyperbolic Network: Definition and Properties of the Core
preprint at http://arxiv.org/abs/1010.3304.

[25] Gabriel H. Tucci:
A Note on Averages over Gaussian Random Matrix Ensembles
preprint at http://arxiv.org/abs/0910.0575.


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
to appear in Journal of Theoretical Probability http://arxiv.org/abs/1202.3184.

[23] Gabriel H. Tucci:
Non Hyperbolicity in Random Regular Graphs and their Traffic Characteristics
to appear in the Central European Journal of Mathematics. [PDF]

[22] Gabriel H. Tucci and Ke Wang:
An Innovative Approach for Analysing Rank Deficient Covariance Matrices
Proceeding of the International Symposium on Information Theory, Boston, 2012. [PDF]

[21] Gabriel H. Tucci and Phil A. Whiting:
Behavior of the Minimum Singular Value of a Random Vandermonde Matrix
Proceeding of the International Symposium on Information Theory, Boston, 2012. [PDF]

[20] Peter Cogan, Matthew Andrews, Milan Bradonjic, Gabriel H. Tucci, Sean Kennedy and Alessandra Sala:
Reconstruction and Analysis of Twitter Conversation Graphs
Proceeding of HotSocial. The First ACM International Workshop on Hot Topics on Interdisciplinary Social Networks Research, Beijing, 2012. [PDF]

[19] Yuliy Baryshnikov and Gabriel H. Tucci:
Asymptotic Traffic Flow in a Hyperbolic Network
Proceeding of 5th International Symposium on Communications Control and Signal Processing, Rome, 2012. Extended version at http://arxiv.org/abs/1010.3305.

[18] Onuttom Narayan, Iraj Saniee and Gabriel H. Tucci:
Lack of Spectral Gap and Hyperbolicity in Asymptotic Erdos-Renyi Sparce Random Graphs
Proceeding of 5th International Symposium on Communications Control and Signal Processing, Rome, 2012. Extended version at http://arxiv.org/abs/1009.5700.

[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]

  • Gabriel H. Tucci:
    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

  • ISIT 2012 at MIT:
    An Innovative Approach for Analysing Rank Deficient Covariance Matrices
    July 2012. [PDF]

  • ISIT 2012 at MIT:
    Behavior of the Minimum Singular Value of a Random Vandermonde Matrix
    July 2012. [PDF]

  • Free Probability and the Large N Limit at UC Berkeley:
    On Random Vandermonde Matrices
    March 2012. [PDF]

  • Sabanci University:
    Random Vandermonde Matrices and Covariance Estimates
    August 2011. [PDF]

  • Erwin Schroedinger Institute:
    Bialgebras in Free Probability
    April 2011. [PDF]

  • Bell Labs:
    AFRL and AFOSR Technical Forum
    February 2011. [PDF]

  • Bell Labs:
    Tutorial on hyperbolic metric spaces and their applications to modeling and traffic behavior of large complex real world networks (part 2)
    May 2010. [PDF]

  • Bell Labs:
    Tutorial on hyperbolic metric spaces and their applications to modeling and traffic behavior of large complex real world networks (part 1)
    May 2010. [PDF]

  • East Tennessee State University:
    Talk at ETSU
    March 2010. [PDF]

  • Northeast Illinois State University:
    Talk at NEIU
    March 2010.

  • University of Tennessee:
    Talk at University of Tennessee
    February 2010.

  • KMS and AMS meeting:
    Talk at KMS and AMS meeting
    Seoul, South Korea, December 2009.