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Shemehsavrar, Soudabeh. (1395). EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS. , (), -. doi: 10.22099/ijsts.2016.3846
Soudabeh Shemehsavrar. "EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS". , , , 1395, -. doi: 10.22099/ijsts.2016.3846
Shemehsavrar, Soudabeh. (1395). 'EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS', , (), pp. -. doi: 10.22099/ijsts.2016.3846
Shemehsavrar, Soudabeh. EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS. , 1395; (): -. doi: 10.22099/ijsts.2016.3846

EXPECTED NUMBER OF REAL ZEROS OF GAUSSIAN Self-Reciprocal RANDOM ALGEBRAIC POLYNOMIALS

Iranian Journal of Science
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 مهر 1395
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3846
نویسنده
Soudabeh Shemehsavrar*
University of Tehran
چکیده
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.
کلیدواژه‌ها
Random Algebraic Polynomials؛ Expected Density؛ Brownian motion؛ Symmetric Property
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