Activities This Week
This page list all events and seminars that take place in the department
this week. Please use the form below to choose a
different week or date range.
BGU Probability and Ergodic Theory (PET) seminar
On (a,b) Pairs in Random Fibonacci Sequences
May 23, 11:10—12:00, 2019, -101
Speaker
J.C. Saunders (Ben-Gurion University)
Abstract
| We deal with the random Fibonacci tree, which is an infinite binary tree with nonnegative integers at each node. The root consists of the number 1 with a single child, also the number 1. We define the tree recursively in the following way: if x is the parent of y, then y has two children, namely | x−y | and x+y. This tree was studied by Benoit Rittaud who proved that any pair of integers a,b that are coprime occur as a parent-child pair infinitely often. We extend his results by determining the probability that a random infinite walk in this tree contains exactly one pair (1,1), that being at the root of the tree. Also, we give tight upper and lower bounds on the number of occurrences of any specific coprime pair (a,b) at any given fixed depth in the tree. |
אשנב למתמטיקה
יום הסטודנט
May 28, 18:10—19:30, 2019, אולם 101-
AGNT
TBA
May 29, 15:10—16:25, 2019, -101
Speaker
Liran Shaul (Charles University, Prague)