Grainger College of Engineering

Research Output 1965 2020

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2015

Smooth embeddings for the Suzuki and Ree curves

Eid, A. & Duursma, I., 2015, Algorithmic arithmetic, geometry, and coding theory. Amer. Math. Soc., Providence, RI, Vol. 637. p. 251-291 41 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2014

How to run a centipede: a topological perspective

Baryshnikov, Y. & Shapiro, B., 2014, Geometric control theory and sub-Riemannian geometry. Springer, [Cham], Vol. 5. p. 37-51 15 p. (Springer INdAM Ser.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2013

Nanotechnology for Cerebral Aneurysm Treatment

Allain, J., Tigno, T. & Armonda, R., Jul 16 2013, The Textbook of Nanoneuroscience and Nanoneurosurgery. CRC Press/Balkema, p. 259-282

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2012

(0,2) quantum cohomology

Donagi, R., Guffin, J., Katz, S. & Sharpe, E., 2012, String-Math 2011. Amer. Math. Soc., Providence, RI, Vol. 85. p. 83-103 21 p. (Proc. Sympos. Pure Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2011

Introduction and guide to the handbook

Akemann, G., Baik, J. & Di Francesco, P., 2011, The Oxford handbook of random matrix theory. Oxford Univ. Press, Oxford, p. 3-14 12 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Irradiation Effects on EUV Nanolithography Collector Mirrors

Allain, J. P., Dec 2 2011, Recent Advances in Nanofabrication Techniques and Applications. Cui, B. (ed.). InTech, Chapter 19

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2008

Algebraic geometry codes: general theory

Duursma, I. M., 2008, Advances in algebraic geometry codes. World Sci. Publ., Hackensack, NJ, Vol. 5. p. 1-48 48 p. (Ser. Coding Theory Cryptol.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2007

On expected number of maximal points in polytopes

Baryshnikov, Y., 2007, 2007 Conference on Analysis of Algorithms, AofA 07. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, p. 227-236 10 p. (Discrete Math. Theor. Comput. Sci. Proc., AH).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2006

2D quantum gravity, matrix models and graph combinatorics

Di Francesco, P., 2006, Applications of random matrices in physics. Springer, Dordrecht, Vol. 221. p. 33-88 56 p. (NATO Sci. Ser. II Math. Phys. Chem.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds

Katz, S., 2006, Snowbird lectures on string geometry. Amer. Math. Soc., Providence, RI, Vol. 401. p. 43-52 10 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Visiting near-optimal solutions using local search algorithms

Jacobson, S. H., Hall, S. N. & McLay, L. A., 2006, COMPSTAT 2006---Proceedings in Computational Statistics. Physica, Heidelberg, p. 471-481 11 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2005

Asymptotic analysis of a nonlinear AIMD algorithm

Baryshnikov, Y., Coffman, E., Feng, J. & Momv cilovi, P., 2005, 2005 International Conference on Analysis of Algorithms. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, p. 27-37 11 p. (Discrete Math. Theor. Comput. Sci. Proc., AD).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2004

B-branes and the derived category

Katz, S., 2004, Quantum theory and symmetries. World Sci. Publ., Hackensack, NJ, p. 538-547 10 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2003

Stochastic averaging near homoclinic orbits via singular perturbations

Sowers, R. B., 2003, IUTAM Symposium on Nonlinear Stochastic Dynamics. Kluwer Acad. Publ., Dordrecht, Vol. 110. p. 83-94 12 p. (Solid Mech. Appl.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The theory and practice of simulated annealing

Henderson, D., Jacobson, S. H. & Johnson, A. W., 2003, Handbook of metaheuristics. Kluwer Acad. Publ., Boston, MA, Vol. 57. p. 287-319 33 p. (Internat. Ser. Oper. Res. Management Sci.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2002

Bounds for completely decomposable Jacobians

Duursma, I. & Enjalbert, J-Y., 2002, Finite fields with applications to coding theory, cryptography and related areas (Oaxaca, 2001). Springer Berlin, p. 86-93 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Deuterium Treatment Effects On Lithium And Tin-Lithium Sputtering In Solid And Liquid Phase

Allain, J. P. & Ruzic, D. N., 2002, Hydrogen and Helium Recycling at Plasma Facing Materials. Hassanein, A. (ed.). Springer Netherlands, p. 73-82 Chapter 8

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Versal deformations and superpotentials for rational curves in smooth threefolds

Katz, S., 2002, Symposium in Honor of C. H. Clemens (Salt Lake City, UT, 2000). Amer. Math. Soc., Providence, RI, Vol. 312. p. 129-136 8 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2001

A Riemann hypothesis analogue for self-dual codes

Duursma, I., 2001, Codes and association schemes (Piscataway, NJ, 1999). Amer. Math. Soc., Providence, RI, Vol. 56. p. 115-124 10 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Matrix model combinatorics: applications to folding and coloring

Di Francesco, P., 2001, Random matrix models and their applications. Cambridge Univ. Press, Cambridge, Vol. 40. p. 111-170 60 p. (Math. Sci. Res. Inst. Publ.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On Stokes sets

Baryshnikov, Y., 2001, New developments in singularity theory (Cambridge, 2000). Kluwer Acad. Publ., Dordrecht, Vol. 21. p. 65-86 22 p. (NATO Sci. Ser. II Math. Phys. Chem.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Virtual fundamental classes of zero loci

Cox, D. A., Katz, S. & Lee, Y-P., 2001, Advances in algebraic geometry motivated by physics (Lowell, MA, 2000). Amer. Math. Soc., Providence, RI, Vol. 276. p. 157-166 10 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2000

Efficient algorithms for the Jacobian variety of hyperelliptic curves $y^2=x^p-x+1$ over a finite field of odd characteristic $p$

Duursma, I. & Sakurai, K., 2000, Coding theory, cryptography and related areas (Guanajuato, 1998). Springer Berlin, p. 73-89 17 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Exact asymptotics of meander numbers

Di Francesco, P., 2000, Formal power series and algebraic combinatorics (Moscow, 2000). Springer Berlin, p. 3-14 12 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Stochastic averaging on graphs: noisy Duffing-van der Pol equation

Namachchivaya, N. S., Sowers, R. & Vedula, L., 2000, Stochastic and chaotic dynamics in The Lakes (Ambleside, 1999). Amer. Inst. Phys., Melville, NY, Vol. 502. p. 254-265 12 p. (AIP Conf. Proc.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The meander determinant and its generalizations

Di Francesco, P., 2000, Calogero-Moser-Sutherland models (Montréal, QC, 1997). Springer New York LLC, p. 127-144 18 p. (CRM Ser. Math. Phys.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1999

$2$-D quantum and topological gravities, matrix models, and integrable differential systems

Di Francesco, P., 1999, The Painlevé property. Springer New York LLC, p. 229-285 57 p. (CRM Ser. Math. Phys.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Intergenerational choice: a paradox and a solution

Baryshnikov, Y. & Chichilnisky, G., 1999, Topology and markets (Waterloo, ON, 1994). Amer. Math. Soc., Providence, RI, Vol. 22. p. 99-110 12 p. (Fields Inst. Commun.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Some combinatorial optimization problems in phylogenetics

Warnow, T., 1999, Graph theory and combinatorial biology (Balatonlelle, 1996). János Bolyai Math. Soc., Budapest, Vol. 7. p. 363-413 51 p. (Bolyai Soc. Math. Stud.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Truncated meanders

Di Francesco, P., 1999, Recent developments in quantum affine algebras and related topics (Raleigh, NC, 1998). Amer. Math. Soc., Providence, RI, Vol. 248. p. 135-162 28 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1998

Joint source channel matching for a wireless communications link

Appadwedula, S., Jones, D. L., Ramchandran, K. & Konzintsev, I., 1998, IEEE International Conference on Communications. Anon (ed.). IEEE, Vol. 1. p. 482-486 5 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Telecommunication links
Channel coding
1997

Inferring evolutionary trees from polymorphic characters, and an analysis of the Indo-European family of languages

Bonet, M., Phillips, C., Warnow, T. & Yooseph, S., 1997, Mathematical hierarchies and biology (Piscataway, NJ, 1996). Amer. Math. Soc., Providence, RI, Vol. 37. p. 43-55 13 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Mirror symmetry constructions: a review

Berglund, P. & Katz, S., 1997, Mirror symmetry, II. Amer. Math. Soc., Providence, RI, Vol. 1. p. 87-113 27 p. (AMS/IP Stud. Adv. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Mirror symmetry for two parameter models. I [ MR1274436 (95k:32020)]

Candelas, P., de la Ossa, X., Font, A. A., Katz, S. & Morrison, D. R., 1997, Mirror symmetry, II. Amer. Math. Soc., Providence, RI, Vol. 1. p. 483-543 61 p. (AMS/IP Stud. Adv. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1996

Class numbers for some hyperelliptic curves

Duursma, I., 1996, Arithmetic, geometry and coding theory (Luminy, 1993). de Gruyter, Berlin, p. 45-52 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Collegewide laboratory-based program in control systems technology at the University of Illinois at Urbana-Champaign

Alleyne, A. G., Bamieh, B., Block, D., Meyn, S., Perkins, W., Sreenivas, R. S., Spong, M., Tsao, T. C. & Voulgaris, P. G., 1996, Proceedings of the IEEE Conference on Decision and Control. Anon (ed.). Vol. 4. p. 3890-3895 6 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Control systems
Curricula
Satellites
Visibility
Feedback control

Generalized Hamming weights for duals of BCH codes, and maximal algebraic function fields

Duursma, I., Stichtenoth, H. & Voss, C., 1996, Arithmetic, geometry and coding theory (Luminy, 1993). de Gruyter, Berlin, p. 53-65 13 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Nonlinear force control of an electro-hydraulic actuator

Alleyne, A. G., 1996, Proceedings of the Japan/USA Symposium on Flexible Automation. Stelson, K. & Oba, F. (eds.). Vol. 1. p. 193-200 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Hydraulic actuators
Force control
Controllers
Actuators
Control nonlinearities

On supervisory policies that enforce liveness in discrete event dynamic systems modeled by partially controlled Petri nets

Sreenivas, R. S., 1996, Proceedings of the IEEE Conference on Decision and Control. Anon (ed.). Vol. 4. p. 4439-4444 6 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Petri nets
Dynamical systems
Fires
1995

Analytical study of dispersion of stress waves in a weakly coupled layered system

Vakakis, A. F. & Cetinkaya, C., 1995, 15th Biennial Conference on Mechanical Vibration and Noise. Wang, K. W., Yang, B., Sun, J. Q., Seto, K., Yoshida, K. & et al, A. (eds.). 3 Pt B/2 ed. Vol. 84. p. 1471-1478 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Convolution
Transfer functions
Fourier transforms

Experimental investigation of rotary ultrasonic grinding of ceramic disks

Khanna, N., Pei, Z. J. & Ferreira, P. M., 1995, Technical Paper - Society of Manufacturing Engineers. MR. SME

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Ultrasonics
Machining
Hard disk storage
Raw materials
Fabrication

Green's function synthesis for layered distributed parameter systems

Lueschen, G. G. G. & Bergman, L. A., 1995, 15th Biennial Conference on Mechanical Vibration and Noise. Wang, K. W., Yang, B., Sun, J. Q., Seto, K., Yoshida, K. & et al, A. (eds.). 3 Pt C ed. Vol. 84.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Green's function

Multi-objective control of dynamical systems

Voulgaris, P. G., 1995, 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/2 ed. Vol. 84. p. 993-998 6 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Dynamical systems
Quadratic programming
Impulse response

Numerical solution of some three-state random vibration problems

Wojtkiewicz, S. F., Bergman, L. A. & Spencer, B. F., 1995, 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/2 ed. Vol. 84. p. 939-947 9 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Fokker Planck equation
White noise
Nonlinear systems
Monte Carlo simulation

Quantum intersection rings

Di Francesco, P. & Itzykson, C., 1995, The moduli space of curves (Texel Island, 1994). Birkhäuser Boston, Boston, MA, Vol. 129. p. 81-148 68 p. (Progr. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Vibration and control of stochastic dynamical systems

Bergman, L. A. & Spencer, B. F., 1995, 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt A/2 ed. Vol. 84. p. 853 1 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Dynamical systems
1994

Rational curves on Calabi-Yau manifolds: verifying predictions of mirror symmetry

Katz, S., 1994, Projective geometry with applications. Dekker, New York, Vol. 166. p. 231-239 9 p. (Lecture Notes in Pure and Appl. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The desingularization of Hilb4P3 and its Betti numbers

Katz, S., 1994, Zero-dimensional schemes (Ravello, 1992). de Gruyter, Berlin, p. 231-242 12 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1993

Arithmetically Cohen-Macaulay curves cut out by quadrics

Katz, S., 1993, Computational algebraic geometry and commutative algebra (Cortona, 1991). Cambridge Univ. Press, Cambridge, p. 257-263 7 p. (Sympos. Math., XXXIV).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Behavior of a bilayer reinforced stressed timber bridge deck under static and dynamic loads

Buttlar, W. G. & Mozingo, R. R., Oct 1993, Transportation Research Record. 1426 ed. p. 36-43 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Bridge decks
Timber
Dynamic loads
Steel
Costs