scholarly journals Prime numbers and random walks in a square grid

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Alberto Fraile ◽  
Osame Kinouchi ◽  
Prashant Dwivedi ◽  
Roberto Martínez ◽  
Theophanes E. Raptis ◽  
...  
Keyword(s):  
Random Walks ◽  
Prime Numbers ◽  
Square Grid

scholarly journals Perfect Matchings of Trimmed Aztec Rectangles

10.37236/6440 ◽  
2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Tri Lai
Keyword(s):  
Prime Numbers ◽  
Perfect Matchings ◽  
Square Grid

We consider several new families of subgraphs of the square grid whose matchings are enumerated by powers of several small prime numbers: $2$, $3$, $5$, and $11$.  Our graphs are obtained by trimming two opposite corners of an Aztec rectangle. The result yields a proof of a conjecture posed by Ciucu. In addition, we reveal a hidden connection between our graphs and the hexagonal dungeons introduced by Blum.

Non-homogeneous Random Walks

2016 ◽  
Author(s):  
Mikhail Menshikov ◽  
Serguei Popov ◽  
Andrew Wade
Keyword(s):  
Random Walks

A remark on a theorem of the Goldbach-Waring type

2004 ◽  
Vol 41 (3) ◽  
pp. 309-324
Author(s):  
C. Bauer
Keyword(s):  
Prime Numbers

Let pi, 2 ≤ i ≤ 5 be prime numbers. It is proved that all but ≪ x23027/23040+ε even integers N ≤ x can be written as N = p21 + p32 + p43 + p45.

Recurrence of Symmetric Random Walks.

1983 ◽  
Author(s):  
S. W. Dharmadhikari ◽  
Kumar Joag-dev
Keyword(s):  
Random Walks
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