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Mathematically established chaos and forecast of statistics with recurrent patterns in Taylor-Couette flow
The transition to chaos in the subcritical regime of counter-rotating Taylor–Couette flow is investigated using a minimal periodic domain capable of sustaining coherent structures. Following a Feigenbaum cascade, the dynamics is found to be remarkably well approximated by a simple discrete map that admits rigorous proof of its chaotic nature. The chaotic set that arises for the map features densely distributed periodic points that are in one-to-one correspondence with unstable periodic orbits (UPOs) of the Navier–Stokes system. This supports the increasingly accepted view that UPOs may serve as the backbone of turbulence and, indeed, we demonstrate that it is possible to reconstruct every statistical property of chaotic fluid flow from UPOs
LNCS
Garbling is a fundamental cryptographic primitive, with numerous theoretical and practical applications. Since the first construction by Yao (FOCS’82, ’86), a line of work has concerned itself with reducing the communication and computational complexity of that construction. One of the most efficient garbling schemes presently is the ‘Half Gates’ scheme by Zahur, Rosulek, and Evans (Eurocrypt’15). Despite its widespread adoption, the provable security of this scheme has been based on assumptions whose only instantiations are in idealized models. For example, in their original paper, Zahur, Rosulek, and Evans showed that hash functions satisfying a notion called circular correlation robustness (CCR) suffice for this task, and then proved that CCR secure hash functions can be instantiated in the random permutation model.
In this work, we show how to securely instantiate the Half Gates scheme in the standard model. To this end, we first show how this scheme can be securely instantiated given a (family of) weak CCR hash function, a notion that we introduce. Furthermore, we show how a weak CCR hash function can be used to securely instantiate other efficient garbling schemes, namely the ones by Rosulek and Roy (Crypto’21) and Heath (Eurocrypt’24). Thus we believe this notion to be of independent interest.
Finally, we construct such weak CCR hash functions using indistinguishability obfuscation and one-way functions. The security proof of this construction constitutes our main technical contribution. While our construction is not practical, it serves as a proof of concept supporting the soundness of these garbling schemes, which we regard to be particularly important given the recent initiative by NIST to standardize garbling, and the optimizations in Half Gates being potentially adopted
A F420-dependent single domain chemogenetic tool for protein de-dimerization
Protein-protein interactions (PPIs) mediate many fundamental cellular processes. Control of PPIs through optically or chemically responsive protein domains has had a profound impact on basic research and some clinical applications. Most chemogenetic methods induce the association, i.e., dimerization or oligomerization, of target proteins, whilst the few available dissociation approaches either break large oligomeric protein clusters or heteromeric complexes. Here, we have exploited the controlled dissociation of a homodimeric oxidoreductase from mycobacteria (MSMEG_2027) by its native cofactor, F420, which is not present in mammals, as a bioorthogonal monomerization switch. Using X-ray crystallography, we found that in the absence of F420 MSMEG_2027 forms a unique domain-swapped dimer that occludes the cofactor binding site. Rearrangement of the N-terminal helix upon F420 binding results in the dissolution of the dimer. We then showed that MSMEG_2027 can be fused to proteins of interest in human cells and applied it as a tool to induce and release MAPK/ERK signalling downstream of a chimeric fibroblast growth factor receptor 1 (FGFR1) tyrosine kinase. This F420-dependent chemogenetic de-homodimerization tool is stoichiometric and based on a single domain and thus represents a novel mechanism to investigate protein complexes in situ
Discovery of two new polars evolved past the period bounce
We report the discovery of two new magnetic cataclysmic variables with brown dwarf companions and long orbital periods (P_{\rm orb}=95\pm1 and 104\pm2 min). This discovery increases the sample of candidate magnetic period bouncers with confirmed sub-stellar donors from four to six. We also find their X-ray luminosity from archival XMM–Newton observations to be in the range L_{\rm X}\approx10^{28}-10^{29} \mathrm{erg\,s^{-1}} in the 0.25–10 keV band. This low luminosity is comparable with the other candidates, and at least an order of magnitude lower than the X-ray luminosities typically measured in cataclysmic variables. The X-ray fluxes imply mass transfer rates that are much lower than predicted by evolutionary models, even if some of the discrepancy is due to the accretion energy being emitted in other bands, such as via cyclotron emission at infrared wavelengths. Although it is possible that some or all of these systems formed directly as binaries containing a brown dwarf, it is likely that the donor used to be a low-mass star and that the systems followed the evolutionary track for cataclysmic variables, evolving past the period bounce. The donor in long period systems is expected to be a low-mass, cold brown dwarf. This hypothesis is supported by near-infrared photometric observations that constrain the donors in the two systems to be brown dwarfs cooler than
1100 K (spectral types T5 or later), most likely losing mass via Roche Lobe overflow or winds. The serendipitous discovery of two magnetic period bouncers in the small footprint of the XMM–Newton catalogue implies a large space density of these type of systems, possibly compatible with the prediction of 40–70 per cent of magnetic cataclysmic variables to be period bouncers
A negligible contribution of two luminous z ∼7.5 galaxies to the ionizing photon budget of reionization
We present indirect constraints on the absolute escape fraction of ionizing photons (f_{\rm esc}^{\rm LyC}) of the system GN 42912 which comprises two luminous galaxies (M_{\rm UV} magnitudes of -20.89 and -20.37) at z\sim7.5, GN 42912-NE and GN 42912-SW, to determine their contribution to the ionizing photon budget of the Epoch of Reionization (EoR). The high-resolution James Webb Space Telescope NIRSpec and NIRCam observations reveal the two galaxies are separated by only ~0.1" (0.5 kpc) on the sky and have a 358 km s^{-1} velocity separation. GN 42912-NE and GN 42912-SW are relatively massive for this redshift (log(M_\ast/M_\odot) \sim 8.4 and 8.9, respectively), with gas-phase metallicities of 18 per cent and 23 per cent solar, O_{32} ratios of 5.3 and >5.8, and \beta slopes of -1.92 and -1.51, respectively. We use the Mg II\lambda\lambda2796,2803 doublet to constrain f_{\rm esc}^{\rm LyC}. Mg II has an ionization potential close to that of neutral hydrogen and, in the optically thin regime, can be used as an indirect tracer of the LyC leakage. We establish realistic conservative upper limits on f_{\rm esc}^{\rm LyC} of 8.5 per cent for GN 42912-NE and 14 per cent for GN 42912-SW. These estimates align with f_{\rm esc}^{\rm LyC} trends observed with \beta, O_{32}, and the H\beta equivalent width at z7 f_{\rm esc}^{\rm LyC} constraints do not decisively determine a specific reionization model, they support a minor contribution from these two relatively luminous galaxies to the EoR
STIM1-induced widening of non-pore-lining TM interfaces is crucial for Orai1 pore opening
The Ca2+-release-activated Ca2+ (CRAC) channel Orai1 is activated by interaction with the Ca2+ sensor Stromal Interaction Molecule 1 (STIM1). Owing to the lack of structurally resolved Orai1/STIM1 complexes, the impact of their coupling on individual Orai1 transmembrane domain (TM) movements is unclear. This study investigates STIM1-independent and STIM1-dependent Orai1-TM dynamics using photocrosslinking unnatural amino acids (UAAs) at each individual TM position. We primarily identify CRAC-channel-like currents directly after UAA incorporation or additional UV-light irradiation at TM3 sites that interface with non-pore-lining TMs. Using UAAs combined with conventional site-directed mutagenesis and molecular dynamics simulations, we discover that pore opening involves a widening of interfaces formed by TM3 with non-pore-lining TMs. Orai1 mutants with a UAA in TM3 exhibit weaker STIM1-induced activation after UV exposure, possibly caused by a restricted widening of non-pore-lining TM interfaces. We demonstrate that photocrosslinking UAAs are excellent tools for improving our understanding of key determinants and ion channel dynamics modulating pore opening
Effect of assortative mating and sexual selection on polygenic barriers to gene flow
Assortative mating and sexual selection are widespread in nature and can play an important role in speciation by facilitating the buildup and maintenance of reproductive isolation (RI). However, their contribution to genome-wide suppression of gene flow during RI is rarely quantified.
Here, we consider a polygenic “magic” trait that is divergently selected across two populations connected by migration, while also serving as the basis of assortative mating, thus generating sexual selection on one or both sexes. We obtain theoretical predictions for divergence at
individual trait loci by assuming that the effect of all other loci on any locus can be encapsulated via an effective migration rate, which bears a simple relationship to measurable fitness components of migrants and various early-generation hybrids. Our analysis clarifies how “tipping
points” (characterized by an abrupt collapse of adaptive divergence) arise, and when assortative mating can shift the critical level of migration beyond which divergence collapses. We quantify the relative contributions of viability and sexual selection to genome-wide barriers to gene
flow and discuss how these depend on existing divergence levels. Our results suggest that effective migration rates provide a useful way of understanding genomic divergence, even in scenarios involving multiple, interacting mechanisms of RI
Binarity at LOw Metallicity (BLOeM): Multiplicity of early B-type supergiants in the Small Magellanic Cloud
Context. The blue supergiant (BSG) domain contains a large variety of stars whose past and future evolutionary paths are still highly uncertain. Since binary interaction plays a crucial role in the fate of massive stars, investigating the multiplicity among BSGs helps shed light on the fate of such objects.
Aims. We aim to estimate the binary fraction of a large sample of BSGs in the Small Magellanic Cloud (SMC) within the Binarity at LOw Metallicity (BLOeM) survey. In total, we selected 262 targets with spectral types B0-B3 and luminosity classes I-II.
Methods. This work is based on spectroscopic data collected by the FLAMES instrument, mounted on the Very Large Telescope, which gathered nine epochs over three months. Our spectroscopic analysis for each target includes the individual and peak-to-peak radial velocity measurements, an investigation of the line profile variability, and a periodogram analysis to search for possible short- and long-period binaries.
Results. By applying a 20 km s−1 threshold on the peak-to-peak radial velocities above which we would consider the star to be binary, the resulting observed spectroscopic binary fraction for our BSG sample is 23 ± 3%. An independent analysis of line profile variability reveals 11 (plus 5 candidates) double-lined spectroscopic binaries and 32 (plus 41 candidates) single-lined spectroscopic binaries. Based on these results, we estimated the overall observed binary fraction in this sample to be 34 ± 3%, which is close to the computed intrinsic binary fraction of 40 ± 4%. In addition, we derived reliable orbital periods for 41 spectroscopic binaries and potential binary candidates, among which there are 17 eclipsing binaries, including 20 SB1 and SB2 systems with periods of less than 10 days. We reported a significant drop in the binary fraction of BSGs with spectral types later than B2 and effective temperatures less than 18 kK, which could indicate the end of the main sequence phase in this temperature regime. We found no metallicity dependence in the binary fraction of BSGs, compared to existing spectroscopic surveys of the Galaxy and Large Magellanic Cloud
A note on digraph splitting
A tantalizing open problem, posed independently by Stiebitz in 1995 and by Alon in 1996 and again in 2006, asks whether for every pair of integers s,t≥1 there exists a finite number F(s,t)
such that the vertex set of every digraph of minimum out-degree at least F(s,t) can be partitioned into non-empty parts A and B such that the subdigraphs induced on A
and B have minimum out-degree at least s and t , respectively.
In this short note, we prove that if F(2,2) exists, then all the numbers F(s,t) with s,t≥1
exist and satisfy F(s,t)=Θ(s+t) . In consequence, the problem of Alon and Stiebitz reduces to the case s=t=2 . Moreover, the numbers F(s,t) with s,t≥2 either all exist and grow linearly, or all of them do not exist