# 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

46. K. M. Golden, E. Hunke, C. Bitz, and M. Holland, Sea ice in the global climate system, Theme essay for Math Awareness Month on *Mathematics and Climate*, April 2009, posted at www.mathaware.org by the American Mathematical Society, 2008. PDF

47. K. M. Golden, Climate change and the mathematics of transport in sea ice, invited article for the *Notices of the American Mathematical Society*, Volume 56, Number 5, pages 562-584 (including issue cover), May 2009. PDF (Additional References, PDF)

48. D. J. Pringle, J. E. Miner, H. Eicken, and K. M. Golden, Pore-space percolation in sea ice single crystals, *Journal of Geophysical Research (Oceans)*, Vol. 114, C12017, doi:10.1029/2008JC005145, 14 pages, 2009. PDF

49. J. Vry, R. Powell, K. M. Golden, and K. Petersen, The role of exhumation in metamorphic dehydration and fluid production, *Nature Geoscience*, Vol. 3, No. 1, pp. 31-35, doi:10.1038/ngeo699, January 2010. PDF

50. J. Zhu, K. M. Golden, A. Gully and C. Sampson, A network model for electrical transport in sea ice, *Physica B* (special issue for Proceedings of ETOPIM8), Vol. 405, No. 14-15, pp. 3033-3036, 2010. PDF

51. K. M. Golden, N. B. Murphy, and E. Cherkaev, Spectral analysis and connectivity of porous microstructures in bone, *Journal of Biomechanics*,Vol. 44, pp. 337-344, 2011. PDF

52. C. Sampson, K. M. Golden, A. Gully, and A. P. Worby, Surface impedance tomography for Antarctic sea ice, *Deep Sea Research II*, Vol. 58, pp. 1149-1157, 2011. PDF

53. L. B. Simeonova, D. C. Dobson, O. Eso, and K. M. Golden, Spatial bounds on the effective complex permittivity for time-harmonic waves in random media, *Multiscale Modeling and Simulation*, Vol. 9, No. 3, pp. 1113-1143, 2011. PDF

54. C. Orum, E. Cherkaev and K. M. Golden, Recovery of inclusion separations in strongly heterogeneous composites from effective property measurements, *Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences*, Vol. 468, pp. 784-809, doi:10.1098/rspa.2011.0527, 2012. PDF

55. N. B. Murphy and K. M. Golden, The Ising model and critical behavior of transport in binary composite media, *Journal of Mathematical Physics*, Vol. 53, 063506, pp. 1-25, doi: 10.1063/1.4725964, 2012. PDF

56. C. Hohenegger, B. Alali, K. R. Steffen, D. K. Perovich, and K. M. Golden, Transition in the fractal geometry of Arctic melt ponds, *The Cryosphere*, Vol. 6, pp. 1157-1162, doi:10.5194/tc-6-1157-2012, 2012. PDF

57. A. Gully, J. Lin, E. Cherkaev, and K. M. Golden, Bounds on the complex permittivity of polycrystalline composites by analytic continuation, *Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences* (including cover), Vol. 471, Issue 2174, 17 pp., doi: 10.1098/rspa.2014.0702, 2015. PDF

58. I. Sudakov, S. A. Vakulenko, and K. M. Golden, Arctic melt ponds and bifurcations in the climate system, *Communications in Nonlinear Science and Numerical Simulation*, Vol. 22, No. 1-3, pp. 70-81, 2015. PDF

59. N. B. Murphy, C. Hohenegger, E. Cherkaev and K. M. Golden, Spectral measure computations for composite media, *Communications in Mathematical Sciences*, Vol. 13, No. 4, pp. 825-862, 2015. PDF

60. K. M. Golden, Mathematics of sea ice, invited article for *The Princeton Companion to Applied Mathematics*, N. J. Higham (Ed.), M. R. Dennis, P. Glendinning, P. A. Martin, F. Santosa, and J. Tanner (Assoc. Eds.), Princeton University Press, pp. 694-705, September 2015. PDF

61. M. Barjatia, T. Tasdizen, B. Song, C. Sampson and K. M. Golden, Network modeling of Arctic melt ponds, *Cold Regions Science and Technology*, Vol. 124, pp. 40-53, 2016. PDF

62. K. M. Meiners, K. M. Golden, P. Heil, J. L. Lieser, R. Massom, B. Meyer, G. D. Williams, Introduction: SIPEX-2: A study of sea-ice physical, biogeochemical and ecosystem processes off East Antarctica during spring 2012, *Deep Sea Research Part II: Topical Studies in Oceanography*, Vol. 131, pp. 1-6, 2016. PDF

63. C. Strong and K. M. Golden, Filling the polar data gap in sea ice concentration fields using partial differential equations, invited, *Remote Sensing*, Vol. 8, No. 6, pp. 442-451, 2016. PDF

64. N. B. Murphy, E. Cherkaev, J. Xin, J. Zhu, and K. M. Golden, Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows, *Annals of Mathematical Sciences and Applications*, Vol. 2, No. 1, pp. 3-66, 2017. PDF

65. C. Polashenski, K. M. Golden, D. K. Perovich, E. Skyllingstad, A. Arnsten, C. Stwertka, and N. Wright, Percolation blockage: A process that enables melt pond formation on first year Arctic sea ice, *Journal of Geophysical Research*: *Oceans*, Vol. 122, doi:10.1002/2016JC011994, 28 pp., 2017. PDF

66. N. B. Murphy, E. Cherkaev, and K. M. Golden, Anderson transition for classical transport in composite materials, *Physical Review Letters*, Vol. 118, 036401, 5 pp., 2017. PDF

67. C. Strong and K. M. Golden, Filling the sea ice data gap with harmonic functions, invited, *Society for Industrial and Applied Mathematics (SIAM) News*, Vol. 50, Issue 3, April 2017. PDF

68. C. Strong, D. Foster, E. Cherkaev, I. Eisenman, and K. M. Golden, On the definition of marginal ice zone width,* Journal of Atmospheric and Oceanic Technology*, Vol. 34, pp. 1565-1584, doi: 10.1175/JTECH-D-16-0171.1, 2017. PDF

69. I. Sudakov, S. A. Vakulenko, D. Kirievskaya, and K. M. Golden, Large ecosystems in transition: Bifurcations and mass extinction, invited, *Ecological Complexity, *Vol.32, pp. 209-216, 2017. PDF

70. K. R. Steffen, Y. Epshteyn, J. Zhu, M. J. Bowler, J. W. Deming, and K. M. Golden, Network modeling of fluid transport through sea ice with entrained exopolymeric substances, *Multiscale Modeling and Simulation*, Vol. 16, No.1, pp. 106-124, 2018. PDF

71. B. Bowen, C. Strong, and K. M. Golden, Modeling the fractal geometry of Arctic melt ponds using the level sets of random surfaces, invited, *Journal of Fractal Geometry*, Vol. 5, pp. 121-142, 2018. PDF

72. E. A. Cherniavskaia, I. Sudakov, K. M. Golden, L. A. Timokhov, and C. Strong, Observed salinity fields in the surface layer of the Arctic Ocean and statistical approaches to predicting large-scale anomalies and patterns, *Annals of Glaciology*, Vol. 59, Issue 76pt2, pp. 83-100, 2018. PDF

73. E. V. White, D. Fullwood, K. M. Golden, and I. Zharov, Percolation analysis for estimating the maximum size of particles passing through nanospehere membranes, *Physical Review E*, Vol. 99, 022904, 9 pp., 2019. PDF

74. Y. Ma, I. Sudakov, C. Strong, and K. M. Golden, Ising model for melt ponds on Arctic sea ice, *New Journal of Physics*, Vol. 21, 063029, 12 pp., 2019. PDF

75. N. B. Murphy, E. Cherkaev, J. Zhu, J. Xin, and K. M. Golden, Spectral analysis and computation for homogenization of advection diffusion processes in steady flows, *Journal of Mathematical Physics*, Vol. 61, 013102, 34 pp., 2020. PDF

76. C. Horvat, D. Flocco, D. W. Rees Jones, L. Roach, and K. M. Golden, The effect of melt pond geometry on the distribution of solar energy under first-year sea ice, *Geophysical Research Letters, *Vol. 47, 2019GL085956, 10 pp., 2020. PDF

77. K. M. Golden, L. G. Bennetts, E. Cherkaev, I. Eisenman, D. Feltham, C. Horvat, E. Hunke, C. Jones, D. Perovich, P. Ponte-Castaneda, C. Strong, D. Sulsky, A. Wells, Modeling sea ice, invited, *Notices of the American Mathematical Society* 67(10), pp. 1535-1555 and issue cover, 2020. PDF

78. K. M. Golden, Y. Ma, C. Strong, and I. Sudakov, From magnets to melt ponds, *SIAM News* 53(9), November 2020. PDF

79. D. Morison, N. B. Murphy, E. Cherkaev, and K. M. Golden, Order to disorder in quasiperiodic composites, *Communications Physics* 5, 148 (9 pp.), 2022. PDF

80. J. Reimer, F. Adler, K. M. Golden, and A. Narayan, Uncertainty quantification for ecological models with random parameters, *Ecology Letters*, 25(10):2232-2244, 2022. PDF

81. R. A. Moore, J. B. Jones, D. Gollero, C. Strong, and K. M. Golden, Topology of the sea ice surface and the fractal geometry of Arctic melt ponds, invited, *Physical Review Research*, 9 pp., in revision, 2022.

82. K. M. Golden, N. B. Murphy, and E. Cherkaev, Stieltjes functions and spectral analysis in the physics of sea ice, invited, Special Issue on "Interdisciplinary perspectives on climate sciences highlighting past and current scientific achievements," *Nonlinear Processes in Geophysics*, under review, 2022. PDF

83. K. M. Golden, H. Eicken, A. Gully, M. Ingham, K. A. Jones, J. Lin, J. Reid, C. S. Sampson, and A. P. Worby, Electrical signature of the percolation threshold in sea ice, preprint, 26 pp., 2022. ABSTRACT

84. K. M. Golden, A. Gully, C. S. Sampson, D. J. Lubbers, and J.–L. Tison, Percolation threshold for fluid permeability in Antarctic granular sea ice, preprint, 12 pp., 2022. ABSTRACT

**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*, 280 pp., 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, 374 pp., October 2003.

3. *Sea Ice in a Changing Environment, Proceedings of the 2014 International Glaciological Society Symposium, Hobart, Tasmania*, P. Heil, D. Lannuzel, G. Dieckmann, H. Enomoto, S. Gerland, K. M. Golden, S. Kern, P. J. Langhorne, P. Uotila, J. Renwick, R. A. Massom, S. Stammerjohn, and J. C. Stroeve (Eds.), *Annals of Glaciology*, Vol. 56, No. 69, 455 pp., October 2015.

4. *East Antarctic sea-ice physics and ecosystem processes*, K. M. Meiners, K. M. Golden, P. Heil, J. Lieser, R. Massom, B. Meyer and G. D. Williams (Eds.), *Deep Sea Research Part II: Topical Studies in Oceanography*, Vol. 131, 202 pp., September 2016.