Random Matrices

Random Matrix Theory comprises of some of the most beautiful ideas in modern day mathematics. Popularised extensively by the works of Eugene Wigner and Freeman Dyson in the 1950s (after being first used by John Wishart in mathematical statistics), the theory of random matrices has led insights into numerous fields (even those outside the realm of level statistics) in the last seven decades.

A good place to begin with Random Matrix Theory would be Bertrand Eynard’s lecture notes which can be found here. A classic book on the subject is Random Matrices by Madan Lal Mehta, widely considered the finest text introducing the theory.

I have been working my way through the theory of random matrices for quite some time now and plan to put more posts on the topic up here in the future.

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The Sparrow Still Sings

Those fine winter mornings…
Waking up with the neighbourhood sparrow family.
The whole flock on the old Champa tree;
Sparrow Songs filling those cold, lazy mornings.
Soon another flock, and one more, and another…
The old Champa would beam with joy.

‘What are the sparrows singing, Papa?’
‘Songs for you, son; telling you ‘tis time to rise and shine.’
‘Time to rise and shine.’
Yeah, it was time.

But, time…time moved on.

And yesterday after so long,
the old familiar sound was heard again.
A faint little chirp in the dense forest of cemented bricks.
But, somehow it managed to stay on.
‘The sparrow still sings.’
It was a moment of joy.
A random chirp for others, maybe;
for me, my old diary,
those memories old and lost.
Of all those fine winter mornings.
Of all those flocks gathering in my neighbourhood.
Of all those buds blossoming into flowers on the old Champa.

And the old Champa…yes, it still stands there.
It doesn’t flower anymore, though.
Time…yes, time did move on.

The sparrow still sings.
But for how long..?

Originally published in the 2015 issue of Kalpa, the in-house student magazine of IISER Pune.
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