Erik Bates

activity

20232026

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Showing 2025Show all

2 papers · 1 filter

math.PR2025

Permutation invariance in last-passage percolation and the distribution of the Busemann process

Erik Bates, Elnur Emrah, James Martin +2

In i.i.d. exponential last-passage percolation, we describe the joint distribution of Busemann functions, over all edges and over all directions, in terms of a joint last-passage p…

math.CO2025

A new combinatorial interpretation of partial sums of $m$ -step Fibonacci numbers

Erik Bates, Blan Morrison, Mason Rogers +2

The sequence of partial sums of Fibonacci numbers, beginning with $2$ , $4$ , $7$ , $12$ , $20$ , $33, \dots$ , has several combinatorial interpretations (OEIS A000071). For instance, the…

Permutation invariance in last-passage percolation and the distribution of the Busemann process

A new combinatorial interpretation of partial sums of m-step Fibonacci numbers

A new combinatorial interpretation of partial sums of $m$ -step Fibonacci numbers