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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
arXiv Preprints
Discovery of a radio jet in the Cloverleaf Quasar at z = 2.56
The fast growth of supermassive black holes and their feedback to the host galaxies play an important role in regulating the evolution of galaxies, especially in the early Universe. However, due to cosmological dimming and the limited angular resolut...
physics:astro-ph:GA
arXiv Preprints
Normalization for multimodal type theory
We prove normalization for MTT, a general multimodal dependent type theory capable of expressing modal type theories for guarded recursion, internalized parametricity, and various other prototypical modal situations. We prove that deciding type check...
cs:cs:LO
arXiv Preprints
Rank-based linkage I: triplet comparisons and oriented simplicial complexes
Rank-based linkage is a new tool for summarizing a collection $S$ of objects according to their relationships. These objects are not mapped to vectors, and ``similarity'' between objects need be neither numerical nor symmetrical. All an obj...
math:math:COmath:math:STstat:stat:TH
arXiv Preprints
An Accurate and Interpretable Framework for Trustworthy Process Monitoring
Trustworthy process monitoring seeks to build an accurate and interpretable monitoring framework, which is critical for ensuring the safety of energy conversion plant (ECP) that operates under extreme working conditions such as high pressure and temp...
cs:cs:AIcs:cs:LGeess:eess:SPstat:stat:AP
arXiv Preprints
Furstenberg--Sárközy theorem and partition regularity of polynomial equations over finite fields
We prove new combinatorial results about polynomial configurations in large subsets of finite fields. Bergelson--Leibman--McCutcheon (2005) showed that for any polynomial $P(x) \in \mathbb{Z}[x]$ with $P(0) = 0$, if $A \subseteq \mathbb{F}_q$ is a su...
math:math:NTmath:math:DS
arXiv Preprints
Compositionality in algorithms for smoothing
Backward Filtering Forward Guiding (BFFG) is a bidirectional algorithm proposed in Mider et al. [2021] and studied more in depth in a general setting in Van der Meulen and Schauer [2022]. In category theory, optics have been proposed for modelling sy...
math:math:CTstat:stat:ME
arXiv Preprints
On the Čech cohomology of Morse boundaries
We consider cusped hyperbolic $n-$manifolds, and compute Čech cohomology groups of the Morse boundaries of their fundamental groups. In particular, we show that the reduced Čech cohomology with real coefficients vanishes in dimension at most $n-3$ ...
math:math:GRmath:math:GT
arXiv Preprints
Efficient Distributed Decomposition and Routing Algorithms in Minor-Free Networks and Their Applications
In the LOCAL model, low-diameter decomposition is a useful tool in designing algorithms, as it allows us to shift from the general graph setting to the low-diameter graph setting, where brute-force information gathering can be done efficiently. Recen...
cs:cs:DScs:cs:DC
arXiv Preprints
Fully-Passive Twin-Field Quantum Key Distribution
We propose a fully passive twin-field quantum key distribution (QKD) setup where basis choice, decoy-state preparation and encoding are all implemented entirely by post-processing without any active modulation. Our protocol can remove the potential s...
physics:quant-ph
arXiv Preprints
Toward robust detections of nanohertz gravitational waves
The recent observation of a common red-noise process in pulsar timing arrays (PTAs) suggests that the detection of nanohertz gravitational waves might be around the corner. However, in order to confidently attribute this red process to gravitational ...
physics:astro-ph:IMphysics:astro-ph:HEphysics:gr-qc