Tootfinder

On Central Primitives for Quantum Cryptography with Classical Communication
Kai-Min Chung, Eli Goldin, Matthew Gray
https://arxiv.org/abs/2402.17715 https:…

On Central Primitives for Quantum Cryptography with Classical Communication
Recent work has introduced the "Quantum-Computation Classical-Communication" (QCCC) (Chung et. al.) setting for cryptography. There has been some evidence that One Way Puzzles (OWPuzz) are the natural central cryptographic primitive for this setting (Khurana and Tomer). For a primitive to be considered central it should have several characteristics. It should be well behaved (which for this paper we will think of as having amplification, combiners, and universal constructions); it should be imp…

This https://arxiv.org/abs/2402.10269 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

On the universal exceptional structure of world-volume theories in string and M-theory
A universal structure of world-volume theories of half-BPS branes in string and M-theory in terms of exceptional generalised geometry is observed. Previous constructions are extended in two ways: from internal $d$-dimensional space to full 11- or 10-dimensional spacetimes, by coupling to the tensor hierarchy gauge fields, and from $E_{d(d)}$ with $d\leq 6$ to $E_{7(7)}$ and $E_{8(8)}$. This is done by a clarification of the role of the tensor hierarchy and its end in the context of brane world-…

This https://arxiv.org/abs/2102.05952 has been replaced.
link: https://scholar.google.com/scholar?q=a

Universal Algebra in UniMath
We present our library for Universal Algebra in the UniMath framework dealing with multi-sorted signatures, their algebras, and the basics for equation systems. We show how to implement term algebras over a signature without resorting to general inductive constructions (currently not allowed in UniMath) still retaining the computational nature of the definition. We prove that our single sorted ground term algebras are instances of homotopy W-types. From this perspective, the library enriches Un…

Motives
L. Barbieri-Viale
https://arxiv.org/abs/2403.17825 https://arxiv.org/pdf/2403.17825…

Motives
Making a survey of recent constructions of universal cohomologies we suggest a new framework for a theory of motives in algebraic geometry.

On the universal exceptional structure of world-volume theories in string and M-theory
David Osten
https://arxiv.org/abs/2402.10269 https://

On the universal exceptional structure of world-volume theories in string and M-theory
A universal structure of world-volume theories of half-BPS branes in string and M-theory in terms of exceptional generalised geometry is observed. Previous constructions are extended in two ways: from internal $d$-dimensional space to full 11- or 10-dimensional spacetimes, by coupling to the tensor hierarchy gauge fields, and from $E_{d(d)}$ with $d\leq 6$ to $E_{7(7)}$ and $E_{8(8)}$. This is done by a clarification of the role of the tensor hierarchy and its end in the context of brane world-…

Motives
L. Barbieri-Viale
https://arxiv.org/abs/2403.17825 https://arxiv.org/pdf/2403.17825…

Motives
Making a survey of recent constructions of universal cohomologies we suggest a new framework for a theory of motives in algebraic geometry.

Topological entropy of Turing complete dynamics
Renzo Bruera, Robert Cardona, Eva Miranda, Daniel Peralta-Salas
https://arxiv.org/abs/2404.07288 https://…

Topological entropy of Turing complete dynamics
We explore the relationship between Turing completeness and topological entropy of dynamical systems. We first prove that a natural class of Turing machines (which includes most of the examples of universal Turing machines) has positive topological entropy. We deduce that any Turing complete dynamics with a continuous encoding that simulates a universal machine in this class is chaotic. This applies to our previous constructions of Turing complete area-preserving diffeomorphisms of the disk and…

On the universal exceptional structure of world-volume theories in string and M-theory
David Osten
https://arxiv.org/abs/2402.10269 https://

On the universal exceptional structure of world-volume theories in string and M-theory
A universal structure of world-volume theories of half-BPS branes in string and M-theory in terms of exceptional generalised geometry is observed. Previous constructions are extended in two ways: from internal $d$-dimensional space to full 11- or 10-dimensional spacetimes, by coupling to the tensor hierarchy gauge fields, and from $E_{d(d)}$ with $d\leq 6$ to $E_{7(7)}$ and $E_{8(8)}$. This is done by a clarification of the role of the tensor hierarchy and its end in the context of brane world-…