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arXiv Preprints
Convex cores for actions on finite-rank median algebras
We show that every action of a finitely generated group on a finite-rank median algebra admits a nonempty "convex core", even when no metric or topology is given. We then use this to deduce an analogue of the flat torus theorem for actions ...
math:math:GTmath:math:GR
arXiv Preprints
Efficient Binary Decision Diagram Manipulation in External Memory
We follow up on the idea of Lars Arge to rephrase the Reduce and Apply procedures of Binary Decision Diagrams (BDDs) as iterative I/O-efficient algorithms. We identify multiple avenues to simplify and improve the performance of his proposed algorithm...
cs:cs:DS
arXiv Preprints
Noise induced new quasi-period and periods switching
We employ a typical genetic circuit model to explore how noise can influence the dynamic structure. With the increase of a key interactive parameter, the model will deterministically go through two bifurcations and three dynamic structure regions. We...
physics:physics:bio-ph
arXiv Preprints
Trace formalism for motivic cohomology
The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-Déglise. We also construct an $\infty$-enhancement of such a trace formalism. In the course of the $\infty$-en...
math:math:AGmath:math:NT
arXiv Preprints
On automorphisms and splittings of special groups
We initiate the study of outer automorphism groups of special groups $G$, in the Haglund-Wise sense. We show that ${\rm Out}(G)$ is infinite if and only if $G$ splits over a co-abelian subgroup of a centraliser and there exists an infinite-order &quo...
math:math:GTmath:math:GR
arXiv Preprints
Construction of a set of circulant matrix submatrices for faster MDS matrix verification
The present paper focuses on the construction of a set of submatrices of a circulant matrix such that it is a smaller set to verify that the circulant matrix is an MDS (maximum distance separable) one, comparing to the complete set of square submatri...
math:math:NAcs:cs:NA
arXiv Preprints
Ramified descent
We investigate the "ramified descent problem": which adelic points of a smooth geometrically connected variety $X$ defined over a number field $K$ can be approximated by points that lift to a (twist of a) given ramified cover? We show that ...
math:math:AGmath:math:NT
arXiv Preprints
Symplectomorphisms of some Weinstein 4-manifolds
Let M be a Weinstein four-manifold mirror to Y\D for (Y,D) a log Calabi--Yau surface; intuitively, this is typically the Milnor fibre of a smoothing of a cusp singularity. We introduce two families of symplectomorphisms of M: Lagrangian translations,...
math:math:SGmath:math:AG
arXiv Preprints
Three-body recombination in a single-component Fermi gas with $p$-wave interaction
We study the three-body recombination of identical fermionic atoms. Using a zero-range model for the $p$-wave interaction, we show that the rate constant of three-body recombination into weakly bound $p$-wave dimers can be written as $α_{\rm rec} \p...
physics:cond-mat:quant-gasphysics:physics:atom-phphysics:quant-ph
arXiv Preprints
Einstein Type Systems on Complete Manifolds
In this paper, we study the coupled Einstein constraint equations on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. This is physically well-motivated by standard cosmological space-times ...
math:math:APphysics:math-phmath:math:MP
arXiv Preprints
Reduction of Kummer surfaces modulo 2 in the non-supersingular case
We obtain necessary and sufficient conditions for the good reduction of Kummer surfaces attached to abelian surfaces with non-supersingular reduction when the residue field is perfect of characteristic 2. In this case, good reduction with an algebrai...
math:math:NTmath:math:AG
arXiv Preprints
First measurement of massive virtual photon emission from N* baryon resonances
First information on the time-like electromagnetic structure of baryons in the second resonance region has been obtained from measurements of dielectron (e+ e-) invariant-mass and angular distributions in the quasi-free reaction $π-$ p $\rightarrow$...
physics:nucl-ex
arXiv Preprints
Algebraic properties of the group of germs of diffeomorphisms
We establish some algebraic properties of the group $\mathrm{Diff}(\mathbb{C}^n,0)$ of germs of analytic diffeomorphisms of $\mathbb{C}^n$, and its formal completion $\widehat{\mathrm{Diff}}(\mathbb{C}^n,0)$. For instance we describe the commutator o...
math:math:GRmath:math:DS
arXiv Preprints
Application of a polynomial sieve: beyond separation of variables
Let a polynomial $f \in \mathbb{Z}[X_1,\ldots,X_n]$ be given. The square sieve can provide an upper bound for the number of integral $\mathbf{x} \in [-B,B]^n$ such that $f(\mathbf{x})$ is a perfect square. Recently this has been generalized substanti...
math:math:NT
arXiv Preprints
Logarithmic base change theorem and smooth descent of positivity of log canonical divisor
We prove a logarithmic base change theorem for pushforwards of pluri-canonical bundles and use it to deduce that positivity properties of log canonical divisors descend via smooth projective morphisms. As an application, for a surjective morphism $f:...
math:math:AG
arXiv Preprints
Submultiplicative norms and filtrations on section rings
We show that submultiplicative norms on section rings of polarised projective manifolds are asymptotically equivalent to sup-norms associated with metrics on the polarisation. We then discuss some applications to the spectral theory of submultiplicat...
math:math:DGmath:math:CVmath:math:FA
arXiv Preprints
Moment estimates and well-posedness of the binary-ternary Boltzmann equation
In this paper, we show generation and propagation of polynomial and exponential moments, as well as global well-posedness of the homogeneous binary-ternary Boltzmann equation. We also show that the co-existence of binary and ternary collisions yields...
math:math:AP
arXiv Preprints
Coarse cubical rigidity
We show that for many right-angled Artin and Coxeter groups, all cocompact cubulations coarsely look the same: they induce the same coarse median structure on the group. These are the first examples of non-hyperbolic groups with this property.
For ...
math:math:GRmath:math:GTmath:math:MG
arXiv Preprints
The equifibered approach to $\infty$-properads
We define a notion of $\infty$-properads that generalises $\infty$-operads by allowing operations with multiple outputs. Specializing to the case where each operation has a single output provides a simple new perspective on $\infty$-operads, but at t...
math:math:ATmath:math:CT
arXiv Preprints
Mixture Domain Adaptation to Improve Semantic Segmentation in Real-World Surveillance
Various tasks encountered in real-world surveillance can be addressed by determining posteriors (e.g. by Bayesian inference or machine learning), based on which critical decisions must be taken. However, the surveillance domain (acquisition device, o...
cs:cs:CV