Name
Abstract | ||
|---|---|---|
We consider random mappings on n = kr nodes with preimage sizes restricted to a set of the form {0,k}, where k = k(r) is greater than 1. We prove that T, the least common multiple of the cycle lengths, and B= the product of the cycle lengths, are both asymptotically lognormal. The expected values of these random variables are also also estimated and compared with numerical results. This work is motivated, in part, by the use of these mappings as heuristic models for polynomials of the form x^k + a over the integers modulo p with p congruent to 1 mod k. |
Year | Venue | Field |
|---|---|---|
2018 | AofA | Integer,Discrete mathematics,Combinatorics,Finite field,Random variable,Polynomial,Modulo,Least common multiple,Expected value,Log-normal distribution,Mathematics |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
5 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rodrigo S. V. Martins | 1 | 0 | 0.34 |
| Daniel Panario | 2 | 438 | 63.88 |
| Claudio Qureshi | 3 | 10 | 4.48 |
| Eric Schmutz | 4 | 33 | 11.84 |