Tootfinder

Fixed points of K-Fibonacci sequences
Brennan Benfield, Oliver Lippard
https://arxiv.org/abs/2404.08194 https://arxiv.org/pdf/2404.08…

Fixed points of K-Fibonacci sequences
A $K$-Fibonacci sequence is a binary recurrence sequence where $F_0=0$, $F_1=1$, and $F_n=K\cdot F_{n-1}+F_{n-2}$. These sequences are known to be periodic modulo every positive integer greater than $1$. If the length of one shortest period of a $K$-Fibonacci sequence modulo a positive integer is equal to the modulus, then that positive integer is called a $\textit{fixed point}$. This paper determines the fixed points of $K$-Fibonacci sequences according to the factorization of $K^2+4$ and conc…

This https://arxiv.org/abs/2212.11836 has been replaced.
link: https://scholar.google.com/scholar?q=a

Spectrum of equivariant cohomology as a fixed point scheme
An action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points. Then the complex $\mathrm G$-equivariant cohomology ring of $X$ is isomorphic to the coordinate ring of a certain regular fixed point scheme. Examples include partial flag varieties, smooth Schubert varieties and Bott-Samelson varieties. We also show that a more general version of the fixed point scheme allows a …

Some days you sit at your desk, others, at a cafe, and some days you need a pint or two at a pub.
End result: bug fixed ;)
(Today was the last of the three.)
🐞 👋 🤓

This https://arxiv.org/abs/2309.15584 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group
We study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the $β$ functions for the couplings in the system and explore the fixed points. In addition to the Gaussian (trivial) fixed point, we find a nontrivial fixed point at which a new universality class exists. The deformation parameter becomes relevant at the nontrivial fixed point. Therefore, the $T\bar T$-deformed scalar field theory in two-dimensional spacet…

OMG, after about four decades, I finally fixed the emojis in the webmentions on my site! 🤯🥳😍

"The dangerous, windy stretch of road where Ethan’s life was taken remains largely unchanged... If a professional cyclist couldn’t avoid death on this road, am I next?"
(I agree the road must be fixed, disagree with the call to lock up the driver for more time. that doesn't make anyone safer)

Ugh. *Conflicted*.
Pick up my car from mechanic. The young associate who fixed my car, is checking me out seems pretty cool. Old (white) guy who owns the shop wanders by bitching off-hand about the delivery drivers who leave the parts in the wrong place: "Something something probably the color of their skin. I'm not prejudice it just they can't read English."
Uh.. bro that IS super prejudiced. You

Fixed points of K-Fibonacci sequences
Brennan Benfield, Oliver Lippard
https://arxiv.org/abs/2404.08194 https://arxiv.org/pdf/2404.08…

Fixed points of K-Fibonacci sequences
A $K$-Fibonacci sequence is a binary recurrence sequence where $F_0=0$, $F_1=1$, and $F_n=K\cdot F_{n-1}+F_{n-2}$. These sequences are known to be periodic modulo every positive integer greater than $1$. If the length of one shortest period of a $K$-Fibonacci sequence modulo a positive integer is equal to the modulus, then that positive integer is called a $\textit{fixed point}$. This paper determines the fixed points of $K$-Fibonacci sequences according to the factorization of $K^2+4$ and conc…