P. Billingsley, Convergence of probability measures, second ed., Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1999, x+277 pages.
P. Breiding, H. Keneshlou & A. Lerario, “Quantitative singularity theory for random polynomials”, Int. Math. Res. Not. IMRN (2022), no. 8, p. 5685-5719.
P. Bürgisser, “Average Euler characteristic of random real algebraic varieties”, C. R. Math. Acad. Sci. Paris 345 (2007), no. 9, p. 507-512.
D. Cartwright & B. Sturmfels, “The number of eigenvalues of a tensor”, Linear Algebra Appl. 438 (2013), no. 2, p. 942-952.
M. Delbruck, “Knotting problems in biology”, Plant Genome Data and Information Center collection on computational molecular biology and genetics (1961).
D. N. Diatta & A. Lerario, “Low-degree approximation of random polynomials”, Found. Comput. Math. 22 (2022), no. 1, p. 77-97.
A. Edelman & E. Kostlan, “How many zeros of a random polynomial are real?”, Bull. Amer. Math. Soc. (N.S.) 32 (1995), no. 1, p. 1-37.
Y. Eliashberg & N. Mishachev, Introduction to the h-principle, Graduate Studies in Mathematics, vol. 48, American Mathematical Society, Providence, RI, 2002, xviii+206 pages.
H. L. Frisch & E. Wasserman, “Chemical topology”, Journal of the American Chemical Society 83 (1961), no. 18, p. 3789–3795.
Y. V. Fyodorov, A. Lerario & E. Lundberg, “On the number of connected components of random algebraic hypersurfaces”, J. Geom. Phys. 95 (2015), p. 1-20.
D. Gayet & J.-Y. Welschinger, “Lower estimates for the expected Betti numbers of random real hypersurfaces”, J. Lond. Math. Soc. (2) 90 (2014), no. 1, p. 105-120.
D. Gayet & J.-Y. Welschinger, “Expected topology of random real algebraic submanifolds”, J. Inst. Math. Jussieu 14 (2015), no. 4, p. 673-702.
D. Gayet & J.-Y. Welschinger, “Betti numbers of random real hypersurfaces and determinants of random symmetric matrices”, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 4, p. 733-772.
M. Goresky & R. MacPherson, Stratified Morse theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 14, Springer-Verlag, Berlin, 1988, xiv+272 pages.
M. W. Hirsch, Differential topology, Graduate Texts in Mathematics, vol. 33, Springer-Verlag, New York, 1994, Corrected reprint of the 1976 original, x+222 pages.
K. Itô & M. Nisio, “On the convergence of sums of independent Banach space valued random variables”, Osaka Math. J. 5 (1968), p. 35-48.
E. Kostlan, “On the distribution of roots of random polynomials”, in From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), Springer, New York, 1993, p. 419-431.
K. Kozhasov, “On fully real eigenconfigurations of tensors”, SIAM J. Appl. Algebra Geom. 2 (2018), no. 2, p. 339-347.
A. Lerario, “Complexity of intersections of real quadrics and topology of symmetric determinantal varieties”, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 2, p. 353-379.
A. Lerario & M. Stecconi, “Differential Topology of Gaussian Random Fields”, https://arxiv.org/abs/1902.03805, 2019.
J. Milnor, “On the Betti numbers of real varieties”, Proc. Amer. Math. Soc. 15 (1964), p. 275-280.
F. Nazarov & M. Sodin, “Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions”, Zh. Mat. Fiz. Anal. Geom. 12 (2016), no. 3, p. 205-278.
S. S. Podkorytov, “On the Euler characteristic of a random algebraic hypersurface”, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 252 (1998), no. Geom. i Topol. 3, p. 224-230, 252-253.
P. Sarnak & I. Wigman, “Topologies of nodal sets of random band limited functions”, in Advances in the theory of automorphic forms and their L-functions, Contemp. Math., vol. 664, American Mathematical Society, Providence, RI, 2016, p. 351-365.
M. Shub & S. Smale, “Complexity of Bezout’s theorem. II. Volumes and probabilities”, in Computational algebraic geometry (Nice, 1992), Progr. Math., vol. 109, Birkhäuser Boston, Boston, MA, 1993, p. 267-285.
