22 citations · 106 across the 24 of their papers we have counts for
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Modular periodicity of the Euler numbers and a sequence by Arnold
Sanjay Ramassamy
For any positive integer , the sequence of the Euler up/down numbers reduced modulo was proved to be ultimately periodic by Knuth and Buckholtz. Based on computer simulation…
Two-sided infinite-bin models and analyticity for Barak-Erdős graphs
Bastien Mallein, Sanjay Ramassamy
In this article, we prove that for any probability distribution on one can construct a two-sided stationary version of the infinite-bin model (an interacting parti…
The Hilbert-Galton board
Arvind Ayyer, Sanjay Ramassamy
We introduce the Hilbert-Galton board as a variant of the classical Galton board. Balls fall into a row of bins at a rate depending on the bin, and at random times, each bin gets s…
Miquel dynamics for circle patterns
Sanjay Ramassamy
We study a new discrete-time dynamical system on circle patterns with the combinatorics of the square grid. This dynamics, called Miquel dynamics, relies on Miquel's six circles th…
Extensions of partial cyclic orders, Euler numbers and multidimensional boustrophedons
Sanjay Ramassamy
We enumerate total cyclic orders on where we prescribe the relative cyclic order of consecutive triples , these integers being taken mo…