Intriguing Mathematical Problems from:
Combinatorics, Algebra, Number Theory,
Analysis and Probability
报告专家：Prof. Jordan Stoyanov（Bulgarian Academy of Sciences &Shandong University）
报告时间：7月3日（星期四）下午4:00-5:00
报告地点：数学学院西202
报告摘要：This lecture will be addressed to a wide audience: students in Mathematical or Computer Sciences, including Probability and Statistics, PhD students in these areas, young researchers and professionals. It will be shown how to combine diverse arguments to solve intriguing problems from the above areas. Sometimes the solutions can be obtained quite elegantly by using ideas and techniques from Probability with these being the only available solutions.
Some of the following topics will be discussed in detail:
· Combinatorial identities.
· Algebraic systems with or without solutions.
· Diophantine equations and games with infinitely many casino numbers.
· Bernoulli’s LLN and Weierstrass’s theorem by Bernstein’s polynomials.
· Old Uspensky’s problem and its far-reaching extensions.
· Values of the Riemann zeta function via Cauchy’s distribution.
· Some exercises and open questions.
Questions/suggestions from the audience during or after the lecture will be very welcome.
专家简介：JS is Honorary Professor of Bulgarian Academy of Sciences and Visiting Prof. at Shandong University. Graduated from Moscow State University earning his scientific degrees in Probability Theory under the supervision of Academician Albert Shiryaev of the Kolmogorov’s School in Probability. JS worded in Bulgaria, and was visiting professor at many universities all over the world. JS has published more than 80 papers and 5 books. Well-known is his book “Counterexamples in Probability”, three editions in English and two in Russian.
邀请人：胡泽春
