Skip to main content

Posts

Showing posts from July, 2022

Three talks in three weeks

  I had a talk this week about the construction of white noise test functions. It was nice actually. I was forced to articulate what I know and present it in a more coherent way. Concepts that were fuzzy before has become clearer now. I still have remaining objectives to answer but the process is the reward. Next week, I will be presenting my results in a colloquium. I will frame the results around a central question which is a variation of a certain Lie algebra of white noise operators. This is done by replacing the number operator by a generalized number operator, called conservation operator corresponding to an operator S. Doing this changes the dimension of the base Lie algebra depending on the properties of S. One result that I have is that the linear independence of the orbits of S characterizes the dimension of the Lie algebra. The question then becomes: which operators have a linearly independent orbit? One example is the the unilateral shift. It has a very simple structure...

Unfiltered

I'm really sleepy. But I'm trying to stay up because I don't know. My food hasn't been digested yet? Dunno.  Im writing this post because I'm bored. Because my inhibitions are down. Sometimes interesting thoughts come when I'm between wakefulness and sleepiness.  Im watching this American remake of a French movie that I've seen before. Something about a disabled man and a black caregiver. I noticed the similarities from the first scene.  I've been overthinking. Worrying about when I'll graduate. Will I be able to publish before the funding runs out? That sort of thing. And what does it matter if I do? What does anything matter at all?  I feel drunk without drinking alcohol. I did eat green mangoes though. With soy sauce, salt and chili. It hurt my lips and it got inflamed for a moment. I had to drink lots of water and turn on the fan to make it better. I'm okay now. I'm just a normal human being. With eccentric curiosities but normal. I don...