Tootfinder

Despite what many purchasing departments think, software developers are not fungible assets.
https://www.linkedin.com/posts/alsutton_im

I'm always puzzled as to why many purchasing departments don't understand that software engineers are not fungible assets. | Al Sutton
I'm always puzzled as to why many purchasing departments don't understand that software engineers are not fungible assets. The term "fungible asset" is something I first came across when Simon Stewart was giving a talk during my boot-camp induction when we were both at Facebook. A fungible asset is something you can swap for an equivalent with no detrimental effect, and software engineers definitely aren't trivially swappable. You can swap one 10 euro note for another because they're fungible…

Intersections of Sylow 2-subgroups in symmetric groups
Sean Eberhard
https://arxiv.org/abs/2506.11609 https://arxiv.org/pdf/2506.1160…

Intersections of Sylow 2-subgroups in symmetric groups
We compute the asymptotic probability that a random pair of Sylow 2-subgroups in $S_n$ or $A_n$ intersects trivially. This calculation complements recent work of Diaconis, Giannelli, Guralnick, Law, Navarro, Sambale, and Spink (see arXiv:2504.01149).

Rieffel projections and 2-by-2 matrices
Olivier Isely, Alain Valette
https://arxiv.org/abs/2506.12640 https://arxiv.org/pdf/2506.1264…

Rieffel projections and 2-by-2 matrices
For a compact space $Y$, we view $C(Y\times S^1)$ as the crossed product $C(Y)\rtimes\mathbb{Z}$, with $\mathbb{Z}$ acting trivially. This allows us to study Rieffel projections in $M_2(C(Y\times S^1))$: we characterize them and compute their image under the projection $\partial_0:K_0(C(Y\times S^1))\rightarrow K_1(C(Y))$. We provide a new Rieffel projection in $M_2(C(\mathbb{T}^2))$, different from Loring's one, and involving only trigonometric polynomials plus the square root of $2-e^{2πiθ}…

Cyclic loading of a heterogeneous non-linear poroelastic material
Zoe C. Godard, Derek E. Moulton, Sarah L. Waters
https://arxiv.org/abs/2506.05524 https:/…

Cyclic loading of a heterogeneous non-linear poroelastic material
Cyclic loading is a common feature in poroelastic systems, the material response depending non-trivially on the exact form of boundary conditions, pore structure, and mechanical properties. The situation becomes more complex when heterogeneity is introduced in the properties of the poroelastic material, yet heterogeneity too is common in physical poroelastic structures. In this paper, we analyse the behaviour of a soft porous material in response to a uniaxial cyclic stress or displacement, wit…

This https://arxiv.org/abs/2412.19297 has been replaced.
initial toot: https://mastoxiv.page/@…

The XY model with vision cone: non-reciprocal vs. reciprocal interactions
We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is n…

This https://arxiv.org/abs/2404.07975 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spectral Multifractality and Emergent Energyscales Across the Many-Body Localisation Transition
We present a scaling theory of the many-body localisation transition in terms of emergent, characteristic energyscales. The analysis is based on the decomposition of the eigenstates in the basis of trivially localised states, resolved in the energies of the latter, which we refer to as the spectral decomposition of the eigenstates. The characteristic energyscales emerge when the multifractal properties, or lack thereof, of the spectral decomposition are studied at different scales. These charac…