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Brownian motion in the plane is kinda weird.
On the one hand, given any point p and positive R, the particle will get within R of p (infinitely many times, in fact) with probability 1; on the other hand, it will actually hit p with probability 0. This is called being neighborhood recurrent but not point recurrent.
In dimension N=1, Brownian motion is point recurrent, but for N>2 it’s transient (i.e. not even neighborhood recurrent).
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Gregory Crewdson, Untitled, 2003-2007, Digital chromogenic print © Gregory Crewdson
I have only ever watched Superstore on an airplane and now that I'm watching it in my room I literally feel as though I'm on an airplane.
A SHORT LIST OF PORTALS I HAVE COME ACROSS IN AND AROUND MY APARTMENT
The light cast through a glass of water onto an archway in a dark room
The first landing with a flickering bulb at night, with the second landing being adequately lit
The entire ground floor of the laundry facility in the dark
The many closet spaces I do not use
What exactly does fictional even mean? I mean, considering Locus Zanaanim is a thing. I suppose the line between real and fictional is blurry, considering reality is a lie. Is the Littlest Excrucian actually an Excrucian? Or is he simply a part of the Lie that masquerades around as an Excrucian, in some sort of ironic inversion?
To be fictional is to exist in a liminal state, bearing the property of fictionality, or rather lacking that quality that defines realness without falling into the unreal. It is, as you observe, a rather blurry line to tread; though a being be fictional in one sense they are not made exempt from the burdens of existence.
As for the Littlest Excrucian, consider: when a fictional character is made, there is a void at their heart. If they are to exist they must have a spirit that is them, that being which bears their dharma. With this in mind, does the creator make the spirit or must the emptiness be answered from without?
And a second question: what is the relationship between the fictional thing and the real thing?
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