You believed in linear projections and initial conditions,
In neither ergodicity nor embedded good behavior.
There were no trivial autmorphisms in your infinite measure;
It was not in the heart of your group.
In my vector space I see structure, but I also see manifolds
Confined not in Cartesian space, but beyond Banach;
Eclipsing Euclidean, held in Hilbert space and time
Renouncing these classic decompositions of love.
Though uncertainty infinitely partitioned my heart,
I sought to create one-to-one correspondence.
With our log normally distributed as any other process,
Could I generate moments between us for all time?
A series grows.
In time, the partial sums of your effort revealed
The distance disguised by your harmonic terms.
With neither a limit nor your support,
I diverge.
Notes
This poem arose after I confessed a bit of heartbreak to a mentor of mine. He had stumbled upon the first poem I wrote several years ago and encouraged me to keep writing – the first verse belongs entirely to him.
By this time, my studies have progressed deeper into probability theory. Again, I find so many parallels between mathematics and my life. In addition to vector spaces analogies, there are log-normal distributions, moment-generating functions, and divergent series.