[Turkmath:4117] Bilkent Analiz Semineri - Gökhan Yıldırım - 07.10.2019

[Bilkent Mathematics]

Değerli liste üyeleri,
 
Bilkent Matematik Bölümü Analiz Seminerleri kapsamında 7 Ekim'de Gökhan Yıldırım konuşmacı olacaktır.
 
Gökhan Yıldırım (Bilkent Üniversitesi)

"A one-dimensional probabilistic packing problem" 

Özet: Consider n molecules lined up in a row. From among the n - k + 1 nearest neighbor k-tuples, we select one uniformly randomly and bond the k molecules together. Then from the remaining nearest neighbor k-tuples, we select one uniformly randomly and bond the k molecules together. We continue this way until there are no nearest-neighbor k-tuples left.

Let M(n;k) denote the random variable that counts the number of bonded molecules, and let E[M(n;k)] denote the the expected value of M(n;k).


I will present the proof of the following result by R. G. Pinsky [1]:

                E(M(n;k))/n converges to  an explicit constant p(k) as n tends to infinity.



The result for k = 2 goes back to an article in 1939 by Paul Flory, 1974 Nobel Laureate in Chemistry.

Some open problems will be discussed at the end of the talk.  


Tarih: 7 Ekim 2019 Pazartesi, 14:00

Yer: SA - Z18

Konuşma sonrasında çay-kurabiye ikramı yapılacaktır.
 
İlgilenen herkes davetlidir.
 
Bilkent Üniversitesi Matematik Bölümü
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