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The Minkowski functionals are useful statistics to quantify the morphology of various random fields.
H. Minkowski, Mathematische Annalen 57
1903
Earlier work this paper cites.
H. Hadwiger, Vorlesungen über Inhalt, Oberfläche und Isoperimetrie (Berlin, Springer, 1957)
1957
Earlier work this paper cites.
J. Milnor, Morse Theory
1963
Earlier work this paper cites.
P. J. E. Peebles, The Large-scale Structure of the Universe
1980
Earlier work this paper cites.
A. H. Guth, Phys. Rev. D 23
1981
Earlier work this paper cites.
K. Sato, Phys. Lett. 99B
1981
Earlier work this paper cites.
A. D. Linde, Phys. Lett. B108
1982
Earlier work this paper cites.
A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
C. Nash and S. Sen, Topology and Geometry for Physicists
1983
Earlier work this paper cites.
S.-K. Ma, Statistical Mechanics
1985
Earlier work this paper cites.
J. R. Gott III, A. L. Melott, and M. Dickinson, Astrophys. J. 306
1986
Earlier work this paper cites.
H. Tomita, Progr. Theor. Phys., 76
1986
Earlier work this paper cites.
J. M. Bardeen, J. R. Bond, N. Kaiser, and A. S. Szalay, Astrophys. J. 304
1986
Earlier work this paper cites.
J. R. Gott III, D. H. Weinberg, and A. L. Melott, Astrophys. J. 319
1987
Earlier work this paper cites.
D. H. Weinberg, J. R. Gott III, and A. L. Melott, The Astrophysical Journal 321, 2 (1987)
1987
Earlier work this paper cites.
J. R. Gott III, J. Miller, T. X. Thuan, S. E. Schneider, D. H. Weinberg, C. Gammie, K. Polk, M. Vogeley, S. Jeffrey, S. P. Bhavsar, A. L. Melott, R. Giovanelli, M. P. Hayes, R. B. Tully, and A. J. S. Hamilton, Astrophys. J. 340
1989
Earlier work this paper cites.
H. Tomita, Formation, dynamics and statistics of patterns
1990
Earlier work this paper cites.
C. Park, J. R. Gott III, and L. N. da Costa, Astrophys. J. Lett. 392
1992
Earlier work this paper cites.
R. Schneider, Covex bodies: the Brunn-Minkowski theory
1993
Earlier work this paper cites.
A. Gangui, F. Lucchin, S. Matarrese, and S. Mollerach, Astrophys. J. 430
1994
Earlier work this paper cites.
K. R. Mecke, T. Buchert, and H. Wagner, Astron. Astrophys. 288
1994
Earlier work this paper cites.
M. S. Vogeley, C. Park, M. J. Geller, J. P. Huchra, and J. R. Gott III, Astrophys. J. 420
1994
Earlier work this paper cites.
G. F. Smoot, L. Tenorio, A. J. Banday, A. Kogut, E. L. Wright, G. Hinshaw, and C. L. Bennett, Astrophys. J. 437
1994
Earlier work this paper cites.
T. Matsubara, Astrophys. J. Lett. 434
1994
Earlier work this paper cites.
D. A. Klain, Mathematika 42
1995
Earlier work this paper cites.
A. Kogut, A. J. Banday, C. L. Bennett, G. Hinshaw, P. M. Lubin, and G. F. Smoot, Astrophys. J. Lett. 439
1995
Earlier work this paper cites.
T. Matsubara and J. Yokoyama, Astrophys. J. 463
1996
Earlier work this paper cites.
W. N. Colley, J. R. Gott III, and C. Park, Mon. Not. R. Astron. Soc. 281
1996
Earlier work this paper cites.
K. R. Mecke, J. Phys.: Condens. Matter 8
1996
Earlier work this paper cites.
T. Matsubara, Astrophys. J. 57
1996
Earlier work this paper cites.
J. Schmalzing and T. Buchert, Astrophys. J. Lett. 482
1997
Earlier work this paper cites.
M. Kerscher, J. Schmalzing, J. Retzlaff, S. Borgani, T. Buchert, S. Gottlöber, V. Müller, M. Plionis, and H. Wagner, Mon. Not. R. Astron. Soc. 284
1997
Earlier work this paper cites.
K. R. Mecke and V. Sofonea, Phys. Rev. E 56
1997
Earlier work this paper cites.
J. Schmalzing and T. Buchert, Astrophys. J. Lett. 482
1997
Earlier work this paper cites.
C. Park, W. N. Colley, J. R. Gott III, B. Ratra, D. N. Spergel, and N. Sugiyama, Astrophys. J. 506
1998
Earlier work this paper cites.
M. Kerscher, J. Schmalzing, T. Buchert, and H. Wagner, Astron. Astrophys. 333
1998
Earlier work this paper cites.
V. Sahni, B. S. Sathyaprakash, and S. F. Shandarin, Astrophys. J. Lett. 495
1998
Earlier work this paper cites.
C. N. Likos, K. R. Mecke, and H. Wagner, The Journal of Chemical Physics 102
1998
Earlier work this paper cites.
K. Jacobs, S. Herminghaus, and K. R. Mecke, Langmuir 14
1998
Earlier work this paper cites.
J. Schmalzing and K. M. Górski, Mon. Not. R. Astron. Soc. 297
1998
Earlier work this paper cites.
J. Schmalzing, T. Buchert, A. L. Melott, V. Sahni, B. S. Sathyaprakash, and S. F. Shandarin, Astrophys. J. 526
1999
Earlier work this paper cites.
D. Novikov, H. A. Feldman, and S. F. Shandarin, International Journal of Modern Physics D 8
1999
Earlier work this paper cites.
D. Novikov, J. Schmalzing, and V. F. Mukhanov, Astron. Astrophys. 364
2000
Earlier work this paper cites.
J. S. Kole, K. Michielsen, and H. De Raedt, Phys. Rev. E 63
2000
Cited alongside, same era.
N. G. Makarenko, L. M. Karimova, A. G. Terekhov, A. V. Kardashev, Phys. Solid Earth 36
2000
Cited alongside, same era.
A. J. S. Hamilton, Mon. Not. R. Astron. Soc. 312
2000
Cited alongside, same era.
J. Khoury, B. A. Ovrut, P. J. Steinhardt, and N. Turok, Phys. Rev. D 64
2001
Cited alongside, same era.
A. J. Benson, C. S. Frenk, C. M. Baugh, S. Cole, and C. G. Lacey, Mon. Not. R. Astron. Soc. 327
2001
Cited alongside, same era.
C.-G. Park, C. Park, B. Ratra, and M. Tegmark, Astrophys. J. 556
2001
Cited alongside, same era.
D. Munshi, L. van Waerbeke, J. Smidt, and P. Coles, Mon. Not. R. Astron. Soc. 419
2012
Later among the works it cites.
C. Gay, C. Pichon, and D. Pogosyan, Phys. Rev. D 85
2012
Later among the works it cites.
A. Ducout, F. R. Bouchet, S. Colombi, D. Pogosyan, and S. Prunet, Mon. Not. R. Astron. Soc. 429
2013
Later among the works it cites.
A. Petri, Z. Haiman, L. Hui, M. May, and J. M. Kratochvil, Phys. Rev. D 88
2013
Later among the works it cites.
E. McDonough and R. H. Brandenberger, J. Cosmol. Astropart. Phys. 02
2013
Later among the works it cites.
S. Codis, C. Pichon, D. Pogosyan, F. Bernardeau, and T. Matsubara, Mon. Not. R. Astron. Soc. 435
2013
Later among the works it cites.
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T. Matsubara and B. Jain, Astrophys. J. Lett. 552
2001
Cited alongside, same era.
M. Kerscher, K. Mecke, J. Schmalzing, C. Beisbart, T. Buchert, and H. Wagner, Astron. Astrophys. 373
2001
Cited alongside, same era.
J. H. P. Wu, A. Balbi, J. Borrill, P. G. Ferreira, S. Hanany, A. H. Jaffe, A. T. Lee, B. Rabii, P. L. Richards, G. F. Smoot, R. Stompor, and C. D. Winant, Phys. Rev. Lett. 87
2001
Cited alongside, same era.
J. Sato, M. Takada, Y. P. Jing, and T. Futamase, Astrophys. J. Lett. 551
2001
Cited alongside, same era.
K. Michielsen and H. De Raedt, Physics Reports 347
2001
Cited alongside, same era.
F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Physics Reports 367
2002
Cited alongside, same era.
J. Martin, C. Ringeval, and V. Vennin, Physics of the Dark Universe 5
2014
Later among the works it cites.
P. Parihar, M. S. Vogeley, J. R. Gott III, Y.-Y. Choi, J. Kim, S. S. Kim, R. Speare, J. R. Brownstein, and J. Brinkmann, Astrophys. J. 796
2014
Later among the works it cites.
S. E. Hong, K. Ahn, C. Park, J. Kim, I. T. Iliev, and G. Mellema, Journal of Korean Astronomical Society 47
2014
Later among the works it cites.
M. Shirasaki and N. Yoshida, Astrophys. J. 786
2014
Later among the works it cites.
D. Munshi, B. Hu, A. Renzi, A. Heavens, and P. Coles, Mon. Not. R. Astron. Soc. 442
2014
Later among the works it cites.
T. J. Larkin, H. C. Canuto, M. I. Kettunen, T. C. Booth, D.-E. Hu, A. S. Krishnan, S. E. Bohndiek, A. A. Neves, C. McLachlan, M. P. Hobson, and K. M. Brindle, Magnetic Resonance in Medicine 71
2014
Later among the works it cites.
R. Speare, J. R. Gott, J. Kim, and C. Park, Astrophys. J. 799
2015
Later among the works it cites.
W. N. Colley and J. R. Gott, Mon. Not. R. Astron. Soc. 447
2015
Later among the works it cites.
Y. Wang, C. Park, Y. Xu, X. Chen, and J. Kim, Astrophys. J. 814
2015
Later among the works it cites.
K. Osato, M. Shirasaki, and N. Yoshida, Astrophys. J. 806
2015
Later among the works it cites.
A. Petri, J. Liu, Z. Haiman, M. May, L. Hui, and J. M. Kratochvil, Phys. Rev. D 91
2015
Later among the works it cites.
Planck Collaboration, Astron. Astrophys. 594
2016
Later among the works it cites.
Planck Collaboration, Astron. Astrophys. 594
2016
Later among the works it cites.
D. Munshi, B. Hu, T. Matsubara, P. Coles, and A. Heavens, J. Cosmol. Astropart. Phys. 04
2016
Later among the works it cites.
M. Schmittfull, Z. Vlah, and P. McDonald, Phys. Rev. D 93
2016
Later among the works it cites.
M. Schmittfull and Z. Vlah, Phys. Rev. D 94
2016
Later among the works it cites.
J. E. McEwen, X. Fang, C. M. Hirata and J. A. Blazek, J. Cosmol. Astropart. Phys. , 09 (2016) 015
2016
Later among the works it cites.
A. L. Watts, P. J. Elahi, G. F. Lewis, and C. Power, Mon. Not. R. Astron. Soc. 468
2017
Later among the works it cites.
M. Shirasaki, T. Nishimichi, B. Li, and Y. Higuchi, Mon. Not. R. Astron. Soc. 466
2017
Later among the works it cites.
S. Yoshiura, H. Shimabukuro, K. Takahashi, and T. Matsubara, Mon. Not. R. Astron. Soc. 465
2017
Later among the works it cites.
X. Fang, J. A. Blazek, J. E. McEwen and C. M. Hirata, J. Cosmol. Astropart. Phys. , 02 (2017) 030
2017
Later among the works it cites.
S. Appleby, C. Park, S. E. Hong, and J. Kim, Astrophys. J. 853
2018
Later among the works it cites.
S. Bag, R. Mondal, P. Sarkar, S. Bharadwaj, and V. Sahni, Mon. Not. R. Astron. Soc. 477
2018
Later among the works it cites.
G. Eder, AIP Advances 8
2018
Later among the works it cites.
T. Sato, J. P. Hughes, B. J. Williams, and M. Morii, Astrophys. J. 879
2019
Later among the works it cites.
Planck Collaboration, ArXiv E-Prints 1906, arXiv:1906.02552 (2019)
2019
Later among the works it cites.
Z. Chen, Y. Xu, Y. Wang, and X. Chen, Astrophys. J. 885
2019
Later among the works it cites.
S. Bag, R. Mondal, P. Sarkar, S. Bharadwaj, T. R. Choudhury, and V. Sahni, Mon. Not. R. Astron. Soc. 485
2019
Later among the works it cites.
R. T. Armstrong, J. E. McClure, V. Robins, Z. Liu, C. H. Arns, S. Schlüter, and S. Berg, Transp Porous Med 130
2019
Later among the works it cites.
M. Barbosa, T. Maddess, S. Ahn, and T. Chan-Ling, Scientific Reports 9
2019
Later among the works it cites.
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Y. Liu, Y. Yu, H.-R. Yu, and P. Zhang, Phys. Rev. D 101
2020
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C. Parroni, V. F. Cardone, R. Maoli, and R. Scaramella, Astron. Astrophys. 633
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A. Tsukanov, D. Ivonin, I. Gotman, E. Y. Gutmanas, E. Grachev, A. Pervikov, and M. Lerner, Materials 13
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