Tootfinder

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
David Klompenhouwer, Stijn Velstra
https://arxiv.org/abs/2506.02540

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
We consider strata of curves carrying a residueless meromorphic differential inducing a spin structure on the curve. The cohomology classes of the closures of these strata, weighted by the parity of the spin structures, form a partial cohomological field theory (CohFT) of infinite rank. After applying the DR hierarchy construction to this partial CohFT and reducing to differentials with two zeros and arbitrarily many poles, we show that the resulting system of evolutionary PDEs coincides with t…

This https://arxiv.org/abs/2407.13859 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Indecomposable continua for unbounded itineraries of exponential maps
We study the dynamics of the exponential maps $\E: \C \longrightarrow \C$ defined by $\E(z) = λe^z$, where $λ> \frac{1}{e}$. We prove that for itineraries of a certain form, the set of all points sharing the given itinerary, together with the point at infinity, is an indecomposable continuum in the Riemann sphere. These itineraries contain infinitely many blocks of zeros whose lengths increase, and they may be unbounded. We prove that in every such continuum, there exists exactly one point wh…

I’ve been hungry for seeing these days, hungry especially for color—wild, deeply saturated, mood-altering color. It has me looking up—as I always do when I’m lost—at the sky. Celeste blue. Blue of infinite depth. Ultra-blue.
https://salrandolph.substack.com/p/ways-of…

Ways of Seeing: Blue
Taking inspiration from Maggie Nelson's book, Bluets, this Ways of Seeing encourages you to take the color blue as your oracle and guide.

Kibble-Zurek dynamical scaling hypothesis in the Google analog-digital quantum simulator of the $XX$ model
Yintai Zhang, Francis A. Bayocboc Jr., Jacek Dziarmaga
https://arxiv.org/abs/2506.10771

Kibble-Zurek dynamical scaling hypothesis in the Google analog-digital quantum simulator of the $XX$ model
The state-of-the-art tensor networks are employed to simulate the Hamiltonian ramp in the analog-digital quantum simulation of the quantum phase transition to the quasi-long-range ordered phase of the 2D square-lattice $XX$ model [Nature 638, 79 (2025)]. We focus on the quantum Kibble-Zurek (KZ) mechanism near the quantum critical point. Using the infinite projected entangled pair state (iPEPS), we simulate an infinite lattice and demonstrate the KZ scaling hypothesis for the $XX$ correlations …

I tell stories about the artist Allan Kaprow and what he did in the years after he invented Happenings. For Kaprow, the practice of art became inseparable from the practice of life: ordinary, intimate, sometimes ridiculous, just like the practice of Zen.
#Art
#buddhism

An Analytic Prime Indicator Based on the Fejer Kernel
Sebastian Fuchs
https://arxiv.org/abs/2506.18933 https://arxiv.org/pdf/2506.189…

An Analytic Prime Indicator Based on the Fejer Kernel
This note introduces an analytic prime indicator, constructed by smoothing a trigonometric analogue of trial division. First, a function P: R -> R of class C1 is presented, whose zeros for x > 2 correspond precisely to the odd primes. Its second derivative exhibits jump discontinuities at integer squares. Subsequently, it is shown how this construction can be modified via an infinite series to yield a globally smooth function, P_phi, of class C-inf that preserves this prime-zero property. As a …

Fujita-Zariski decompositions on some product threefolds
Mihai Fulger, Victor Lozovanu
https://arxiv.org/abs/2506.17956 https://arxiv…

Fujita-Zariski decompositions on some product threefolds
We use explicit blow-ups and computations of birational Fujita-Zariski decompositions to determine generic infinitesimal Newton-Okounkov bodies for box-product ample polarizations on three classes of spaces: product between a curve and the projective plane, products of three curves, and the product between a curve and a Jacobian surface. In particular we compute the volume of many big but non-nef divisors on blow-ups of these threefolds.

Bodhisattvas are embodiments of inspiring qualities, avatars of the possible. Imagine thousands of bodhisattvas walking together down Fifth Avenue and into the Village, past the Stonewall Inn. Imagine the infinite variety of their forms. Imagine their celebration!
https://salrandolph.subs…

Trans Pride Bodhisattva Celebration!
The bodhisattva Avalokiteshvara or Guanyin has changed genders over the centuries from male to female, making them an avatar for Trans pride.

This https://arxiv.org/abs/2407.13859 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Indecomposable continua for unbounded itineraries of exponential maps
We study the dynamics of the exponential maps $\E: \C \longrightarrow \C$ defined by $\E(z) = λe^z$, where $λ> \frac{1}{e}$. We prove that for itineraries of a certain form, the set of all points sharing the given itinerary, together with the point at infinity, is an indecomposable continuum in the Riemann sphere. These itineraries contain infinitely many blocks of zeros whose lengths increase, and they may be unbounded. We prove that in every such continuum, there exists exactly one point wh…