Tootfinder

Rescaled topological entropy
E. Rego, C. Rojas, X. Wen
https://arxiv.org/abs/2506.02383 https://arxiv.org/pdf/2506.02383

Rescaled topological entropy
We prove that to any smooth vector field of a closed manifold it can be assigned a nonnegative number called {\em rescaled topological entropy} satisfying the following properties: it is an upper bound for both the topological entropy and the rescaled metric entropy \cite{ww}; coincides with the topological entropy for nonsingular vector fields; is positive for certain surface vector fields (in contrast to the topological entropy); is invariant under rescaled topological conjugacy; and serves a…

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions
Reja H. Wilke, Henning Schl\"omer, Simon M. Linsel, Annabelle Bohrdt, Fabian Grusdt
https://arxiv.org/abs/2506.03146

Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions
Since the discovery of phase transitions driven by topological defects, the classification of phases of matter has been significantly extended beyond Ginzburg and Landau's paradigm of spontaneous symmetry breaking (SSB). In particular, intrinsic and symmetry-protected topological (SPT) orders have been discovered in (mostly gapped) quantum many-body ground states. However, these are commonly viewed as zero-temperature phenomena, and their robustness in a gapless ground state or against thermal …

This https://arxiv.org/abs/2412.17949 has been replaced.
initial toot: https://mastoxiv.page/@a…

Topological junction states in graphene nanoribbons: A route to topological chemistry
Two-dimensional topological insulators with propagating topological edge states are promising for dissipationless transport, while their one-dimensional analogs are capable of hosting localized topological junction states that are mainly envisaged for quantum computing and spintronics. Here, in contrast, we propose to use the localized nature of topological junction states for sensing applications. We report a systematic topological classification of a wide class of graphene nanoribbons represe…

This https://arxiv.org/abs/2505.23633 has been replaced.
initial toot: https://mastoxiv.page/@…

Measuring topological invariants of even-dimensional non-Hermitian systems through quench dynamics
The accurate determination of non-Hermitian (NH) topological invariants plays a central role in the study of NH topological phases. In this work, we propose a general framework for directly measuring NH topological invariants in even-dimensional systems through quench dynamics. Our approach hinges on constructing an auxiliary Hermitian matrix topologically equivalent to the original NH Hamiltonian, enabling topological characterization via reduced-dimensional momentum subspaces called band inve…

This https://arxiv.org/abs/2310.13245 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

MultiDLO: Simultaneous Shape Tracking of Multiple Deformable Linear Objects with Global-Local Topology Preservation
MultiDLO is a real-time algorithm for estimating the shapes of multiple, intertwining deformable linear objects (DLOs) from RGB-D image sequences. Unlike prior methods that track only a single DLO, MultiDLO simultaneously handles several objects. It uses the geodesic distance in the Global-Local Topology Preservation algorithm to define both inter-object identity and intra-object topology, ensuring entangled DLOs remain distinct with accurate local geometry. The MultiDLO algorithm is demonstrat…

Quasi-symmetry and geometric marginal homogeneity: A simplicial approach to square contingency tables
Keita Nakamura, Tomoyuki Nakagawa, Kouji Tahata
https://arxiv.org/abs/2506.02474

Quasi-symmetry and geometric marginal homogeneity: A simplicial approach to square contingency tables
Square contingency tables are traditionally analyzed with a focus on the symmetric structure of the corresponding probability tables. We view probability tables as elements of a simplex equipped with the Aitchison geometry. This perspective allows us to present a novel approach to analyzing symmetric structure using a compositionally coherent framework. We present a geometric interpretation of quasi-symmetry as an e-flat subspace and introduce a new concept called geometric marginal homogeneity…

An exceptional equinumerosity of lattice paths and Young tableaux
Liam Ayres, Evan Bialo, Aidan Cook, Alwin Chen, Matteus Froese, Erica Liu, Maryam Mohammadi Yekta, Oliver Pechenik, Benjamin Wong
https://arxiv.org/abs/2506.03116

An exceptional equinumerosity of lattice paths and Young tableaux
We consider families $\mathcal{P}_n$ of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous with the set $\mathrm{SYT}(n+2,2,1^n)$ of standard Young tableaux.

This https://arxiv.org/abs/2501.16007 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

TOPLOC: A Locality Sensitive Hashing Scheme for Trustless Verifiable Inference
Large language models (LLMs) have proven to be very capable, but access to frontier models currently relies on inference providers. This introduces trust challenges: how can we be sure that the provider is using the model configuration they claim? We propose TOPLOC, a novel method for verifiable inference that addresses this problem. TOPLOC leverages a compact locality-sensitive hashing mechanism for intermediate activations, which can detect unauthorized modifications to models, prompts, or pr…

This https://arxiv.org/abs/2506.01402 has been replaced.
initial toot: https://mastoxiv.page/@a…

Sliding Ferroelectrics Induced Hybrid-Order Topological Phase Transitions
We propose ferroelectric layer sliding as a new approach to realize and manipulate topological quantum states in two-dimensional (2D) bilayer magnetic van der Waals materials. We show that stacking monolayer ferromagnetic topological states into layer-spin-locked bilayer antiferromagnetic structures, and introducing sliding ferroelectricity leads to asynchronous topological evolution of different layers (spins) owing to existence of polarization potentials, thereby giving rise to rich layer-res…

🇺🇦 #NowPlaying on KEXP's #AstralPlane
The Brian Jonestown Massacre:
🎵 Wisdom
#TheBrianJonestownMassacre
https://theblogthatcelebratesitself.bandcamp.com/track/the-sorry-shop-wisdom-bjm
https://open.spotify.com/track/2OK8gN4OGfHg4K0fwTyq7A