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  • MATHEMATICS DEPARTMENT
  • COLLEGE OF SCIENCE
  • UNIVERSITY OF UTAH

Publications

1. S. F. Ackley, A. J. Gow, K. R. Buck and K. M. Golden, Sea ice studies in the Weddell Sea aboard USCGC Polar Sea, Antarctic Journal of the United States, 15, pp. 84-86, 1980. PDF

2. K. M. Golden and S. F. Ackley, Modeling of anisotropic electromagnetic reflection from sea ice, Journal of Geophysical Research C (Oceans), 86, pp. 8107-8116, 1981. PDF

3. K. Golden and G. Papanicolaou, Bounds for effective parameters of heterogeneous media by analytic continuation, Communications in Mathematical Physics, 90, pp. 473-491, 1983. PDF

4. G. W. Milton and K. Golden, Thermal conduction in composites, Proceedings of the 18th International Thermal Conductivity Congress, Rapid City, S.D., pp. 571-582, 1983. PDF

5. K. Golden and G. Papanicolaou, Bounds for effective parameters of multicomponent media by analytic continuation, Journal of Statistical Physics, 40, pp. 655-667, 1985. PDF

6. K. Golden, S. Goldstein and J. L. Lebowitz, Classical transport in modulated structures, Physical Review Letters, 55, pp. 2629-2632, 1985. PDF

7. K. Golden, Bounds on the complex permittivity of a multicomponent material, Journal of Mechanics and Physics of Solids, 34, pp. 333-358, 1986. PDF

8. S. F. Ackley, A. J. Gow, K. R. Buck and K. M. Golden, Physical and structural characteristics of Weddell Sea pack ice, Cold Regions Research and Engineering Laboratory (CRREL) Report 87-14, 70 pp., 1987. PDF1 PDF2

9. K. Golden, S. Goldstein and J. L. Lebowitz, Nash estimates and the asymptotic behavior of diffusions, Annals of Probability, 16, pp. 1127-1146, 1988. PDF

10. K. Golden, S. Goldstein and J. L. Lebowitz, Diffusion in a periodic potential with a local perturbation, Journal of Statistical Physics, 51, pp. 637-656, 1988. PDF

11. K. Golden and S. Goldstein, Arbitrarily slow decay of correlations in quasiperiodic systems, Journal of Statistical Physics, 52, pp. 1113-1118, 1988. PDF

12. K. Golden, Convexity in random resistor networks, in Random Media and Composites, R.V. Kohn and G.W. Milton (Eds.), Society for Industrial and Applied Mathematics, pp. 149-170, 1989. PDF

13. K. Golden, S. Goldstein and J. L. Lebowitz, Discontinuous behavior of effective transport coefficients in quasiperiodic media, Journal of Statistical Physics, 58, pp. 669-684, 1990. PDF

14. G. W. Milton and K. Golden, Representations for the conductivity functions of multicomponent composites, Communications on Pure and Applied Mathematics, 43, pp. 657-671, 1990. PDF

15. O. Bruno and K. Golden, Interchangeability and bounds for the effective conductivity of the square lattice, Journal of Statistical Physics, 61, pp. 361-382, 1990. PDF

16. K. Golden, Convexity and exponent inequalities for conduction near percolation, Physical Review Letters, 65, pp. 2923-2926, 1990. PDF

17. K. Golden, Classical transport in quasiperiodic media, in Proceedings of AMS-SIAM Summer Seminar on the Mathematics of Random Media, Blacksburg, Va., June 1989, W. Kohler and B. White (Eds.), American Mathematical Society, pp. 359-373, 1991. PDF

18. K. Golden and S. Goldstein, Arbitrarily slow approach to limiting behavior, Proceedings of the American Mathematical Society, 112, pp. 109-119, 1991. PDF

19. K. Golden, Bulk conductivity of the square lattice for complex volume fraction, International Series of Numerical Mathematics, 102, pp. 71-83, 1991. PDF

20. K. Golden, Exponent inequalities for the bulk conductivity of a hierarchical model, Communications in Mathematical Physics, 143, pp. 467-499, 1992. PDF

21. K. Golden, Scaling law for conduction in partially connected systems, Physica A, 207, pp. 213-218, 1994, (special issue for Proceedings of the Conference on Electrical Transport and Optical Properties of Inhomogeneous Materials, Mexico 1993, refereed). PDF

22. L. Berlyand and K. Golden, Exact result for the effective conductivity of a continuum percolation model, Physical Review B, 50, pp. 2114-2117, 1994. PDF

23. K. M. Golden, Statistical mechanics of conducting phase transitions, Journal of Mathematical Physics, 36, pp. 5627-5642, 1995. PDF

24. K. Golden, Bounds on the complex permittivity of sea ice, Journal of Geophysical Research C (Oceans), 100, pp. 13,699-13,711, 1995. PDF

25. R. Sawicz and K. Golden, Bounds on the complex permittivity of matrix - particle composites, Journal of Applied Physics, 78, pp. 7240-7246, 1995. PDF

26. V. I. Lytle and K. M. Golden, Microwave backscatter measurements from first year pack ice in the eastern Weddell Sea, Antarctic Journal of the United States, 30, pp. 125-127, 1995. PDF

27. S. F. Ackley, V. I. Lytle, K. M. Golden, M. N. Darling, and G. A. Kuehn, Sea ice measurements during ANZFLUX, Antarctic Journal of the United States, 30, pp. 133-135, 1995. PDF

28. K. M. Golden, Percolation models for porous media, in Homogenization and Porous Media, U. Hornung (Ed.), Springer - Verlag, pp. 27-43, 1997. PDF

29. K. M. Golden, Critical behavior of transport in lattice and continuum percolation models, Physical Review Letters, 78, pp. 3935-3938, 1997. PDF

30. K. M. Golden, The interaction of microwaves with sea ice, in Wave Propagation in Complex Media, IMA Volumes in Mathematics and its Applications, Vol. 96, G. Papanicolaou (Ed.), Springer-Verlag, pp. 75-94, 1997. PDF

31. K. M. Golden, Critical behavior of transport in percolation-controlled smart composites, in Mathematics and Control in Smart Structures, SPIE Proceedings Vol. 3039, V. V. Varadan and J. Chandra (Eds.), Society of Photo-Optical Instrumentation Engineers, pp. 571-581, 1997. PDF

32. K. M. Golden, Electrical transport properties of high contrast composite materials, in Proceedings of the Fourth International Conference on Composites Engineering, D. Hui (Ed.), International Community of Composites Engineering, pp. 363-364, 1997. PDF

33. E. Cherkaeva and K. M. Golden, Inverse bounds for microstructural parameters of composite media derived from complex permittivity measurements, Waves in Random Media, 8(4), pp. 437-450, 1998. PDF

34. K. M. Golden, M. Cheney, K. H. Ding, A. K. Fung, T. C. Grenfell, D. Isaacson, J. A. Kong, S. V. Nghiem, J. Sylvester, and D. P. Winebrenner, Forward electromagnetic scattering models for sea ice, IEEE Transactions on Geoscience and Remote Sensing, 36(5), pp. 1655-1674, 1998. PDF

35. K. M. Golden, D. Borup, M. Cheney, E. Cherkaeva, M. S. Dawson, K. H. Ding, A. K. Fung, D. Isaacson, S. A. Johnson, A. K. Jordan, J. A. Kong, R. Kwok, S. V. Nghiem, R. G. Onstott, J. Sylvester, D. P. Winebrenner and I. H. H. Zabel, Inverse electromagnetic scattering models for sea ice, IEEE Transactions on Geoscience and Remote Sensing, 36(5), pp. 1675-1704, 1998. PDF

36. K. C. Jezek, D. K. Perovich, K. M. Golden, C. Luther, D. Barber, P. Gogineni, T. C. Grenfell, A. K. Jordan, C. D. Mobley, S. V. Nghiem, and R. Onstott, A broad spectral, interdisciplinary investigation of the electromagnetic properties of sea ice, IEEE Transactions on Geoscience and Remote Sensing, 36(5), pp. 1633-1641, 1998. PDF

37. R. Kwok, S. V. Nghiem, S. Martin, D. P. Winebrenner, A. J. Gow, D. K. Perovich, C. T. Swift, D. G. Barber, K. M. Golden, and E. Knapp, Laboratory measurements of sea ice: connections to microwave remote sensing, IEEE Transactions on Geoscience and Remote Sensing, 36(5), pp. 1716-1730, 1998. PDF

38. K. M. Golden, S. F. Ackley and V. I. Lytle, The percolation phase transition in sea ice, Science, 282, pp. 2238-2241, 1998. PDF

39. K. M. Golden and S. M. Kozlov, Critical path analysis of transport in highly disordered random media, in Homogenization, V. Berdichevsky, V. Jikov, and G. Papanicolaou (Eds.), World Scientific, pp. 21-34, 1999. PDF

40. K. M. Golden, Brine percolation and the transport properties of sea ice, Annals of Glaciology, 33, pp. 28-36, 2001. PDF

41. K. M. Golden, Critical behavior of transport in sea ice, Physica B, 338, pp. 274-283, 2003. PDF

42. K. M. Golden, A. L. Heaton, H. Eicken and V. I. Lytle, Void bounds for fluid transport in sea ice, Mechanics of Materials, 38, pp. 801-817, 2006. PDF

43. J. Zhu, A. Jabini, K. M. Golden, H. Eicken and M. Morris, A network model for fluid transport in sea ice, Annals of Glaciology, 44, pp. 129-133, 2006. PDF

44. A. Gully, L. G. E. Backstrom, H. Eicken, and K. M. Golden, Complex bounds and microstructural recovery from measurements of sea ice permittivity, Physica B, 394, pp. 357-362, 2007. PDF

45. K. M. Golden, H. Eicken, A. L. Heaton, J. Miner, D. Pringle, and J. Zhu, Thermal evolution of permeability and microstructure in sea ice, Geophysical Research Letters, 34, L16501, doi:10.1029/2007GL030447, 6 pages and issue cover, 2007. PDF

Proceedings Edited

1. Mathematics of Multiscale Materials, K. M. Golden, G. R. Grimmett, R. D. James, G. W. Milton, and P. N. Sen (Eds.), IMA Volumes in Mathematics and its Applications, Vol. 99, Springer-Verlag, 1998.

2. Proceedings of the Sixth International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media, ETOPIM6, G. W. Milton, K. M. Golden, D. Dobson, and Z. V. Vardeny (Eds.), Physica B, Condensed Matter, Vol. 338, Nos. 1-4, October 2003.

 

Ken_Golden_portrait

Kenneth M. Golden

Professor of Mathematics Adjunct Professor of
Bioengineering

Office: LCB 328
Office Phone: (801) 581-6176
Dept. Phone: (801) 581-6851
Dept. Fax: (801) 581-4148
Email: golden@math.utah.edu

University of Utah
Department of Mathematics
155 S. 1400 E. Room 233
Salt Lake City, UT
84112-0090 USA