We consider a random algebraic polynomial where it's the coefficients form a sequence of centered Gaussian random variables. Moreover, we assume that the increments are independent normally dis- tributed variables with mean zero. The coefficients can be considered as n consecutive observations of a Brownian motion. Assuming the sym- metric property of coefficients, we investigate some new and considerable results about the distribution of zeros. We also prove that the expected number of real zeros of self algebraic polynomial is asymptotically of order log n.
Shemehsavrar, S. (2016). EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS. Iranian Journal of Science, (), -. doi: 10.22099/ijsts.2016.3846
MLA
Soudabeh Shemehsavrar. "EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS". Iranian Journal of Science, , , 2016, -. doi: 10.22099/ijsts.2016.3846
HARVARD
Shemehsavrar, S. (2016). 'EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS', Iranian Journal of Science, (), pp. -. doi: 10.22099/ijsts.2016.3846
VANCOUVER
Shemehsavrar, S. EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS. Iranian Journal of Science, 2016; (): -. doi: 10.22099/ijsts.2016.3846
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