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Volumn 21, Issue 6, 2005, Pages 773-789

On the Kostlan-Shub-Smale model for random polynomial systems. Variance of the number of roots

Author keywords

Random polynomial systems; Rice formula

Indexed keywords

DIFFERENTIAL EQUATIONS; NUMBER THEORY; POLYNOMIALS; PROBABILITY;

EID: 27844520953     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2005.05.005     Document Type: Article
Times cited : (23)

References (9)
  • 1
    • 14544289144 scopus 로고    scopus 로고
    • On the distribution of the maximum of a Gaussian field with d parameters
    • J.-M. Azaïs, and M. Wschebor On the distribution of the maximum of a Gaussian field with d parameters Ann. Appl. Probab. 15 1A 2005 254 278
    • (2005) Ann. Appl. Probab. , vol.15 , Issue.1 , pp. 254-278
    • Azaïs, J.-M.1    Wschebor, M.2
  • 2
    • 27844574729 scopus 로고    scopus 로고
    • On the roots of a random system of equations, the theorem of Shub & Smale and some extensions
    • J.-M. Azaïs, M. Wschebor, On the roots of a random system of equations, The theorem of Shub & Smale and some extensions, Found. Comput. Math. 5 (2) (2005) 125-1440.
    • (2005) Found. Comput. Math. , vol.5 , Issue.2 , pp. 125-1440
    • Azaïs, J.-M.1    Wschebor, M.2
  • 4
    • 84967770230 scopus 로고
    • How many zeros of a random polynomial are real?
    • A. Edelman, and E. Kostlan How many zeros of a random polynomial are real? Bull. Amer. Math. Soc. (N.S.) 32 1 1995 1 37
    • (1995) Bull. Amer. Math. Soc. (N.S.) , vol.32 , Issue.1 , pp. 1-37
    • Edelman, A.1    Kostlan, E.2
  • 6
    • 0009877344 scopus 로고
    • On the distribution of roots of random polynomials
    • M.W. Hirsch J.E. Mardsen M. Shub
    • E. Kostlan On the distribution of roots of random polynomials M.W. Hirsch J.E. Mardsen M. Shub From Topology to Computation, Proceedings of the Smalefest 1993 419 431
    • (1993) From Topology to Computation, Proceedings of the Smalefest , pp. 419-431
    • Kostlan, E.1
  • 7
    • 27844464014 scopus 로고    scopus 로고
    • On the expected number of real roots of a system of random polynomial equations
    • World Science Publishing River Edge, NJ
    • E. Kostlan On the expected number of real roots of a system of random polynomial equations Foundations of Computational Mathematics, Hong Kong, 2000 2002 World Science Publishing River Edge, NJ 149 188
    • (2002) Foundations of Computational Mathematics, Hong Kong, 2000 , pp. 149-188
    • Kostlan, E.1
  • 8
    • 2042436402 scopus 로고    scopus 로고
    • High probability analysis of the condition number of sparse polynomial systems
    • G. Malajovich, and J.M. Rojas High probability analysis of the condition number of sparse polynomial systems Theoret. Comput. Sci. 315 2004 525 555
    • (2004) Theoret. Comput. Sci. , vol.315 , pp. 525-555
    • Malajovich, G.1    Rojas, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.