Tootfinder

Update on my depression. I’m finally starting to feel like myself again and slowly landing back on earth!
I spent today reflecting and figuring out why I got severely depressed after the Pride party Saturday night. Honestly, that night was the most insanely incredible, mind-blowingly spectacular night I have ever experienced in my entire existence. It was an explosion of joy and queerness unlike anything I’ve ever felt, pure, radiant, overwhelming happiness that hit me with the force o…

Monotonicity properties of hyperbolic projections in holomorphic iteration
Argyrios Christodoulou, Konstantinos Zarvalis
https://arxiv.org/abs/2506.19562 h…

Monotonicity properties of hyperbolic projections in holomorphic iteration
We consider hyperbolic projections of orbits of holomorphic self-maps of the unit disc, onto curves landing on the unit circle with a given angle. We show that under certain, necessary, assumptions, the projections exhibit monotonicity properties akin to those present in continuous dynamics. Our techniques are purely hyperbolic-geometric in nature and provide the general framework for analysing projections of arbitrary sequences onto curves.