@unpublished{20626, abstract = {Kontsevich's characteristic classes are invariants of framed smooth fiber bundles with homology sphere fibers. It was shown by Watanabe that they can be used to distinguish smooth $S^4$-bundles that are all trivial as topological fiber bundles. In this article we show that this ability of Kontsevich's classes is a manifestation of the following principle: the ``real blow-up'' construction on a smooth manifold essentially depends on its smooth structure and thus, given a smooth manifold (or smooth fiber bundle) $M$, the topological invariants of spaces constructed from $M$ by real blow-ups could potentially differentiate smooth structures on $M$. The main theorem says that Kontsevich's characteristic classes of a smooth framed bundle $π$ are determined by the topology of the 2-point configuration space bundle of $π$ and framing data.}, author = {Chen, Xujia}, booktitle = {arXiv}, title = {{Kontsevich's characteristic classes as topological invariants of configuration space bundles}}, doi = {10.48550/ARXIV.2302.03021}, year = {2023}, } @article{20759, abstract = {Recent advances in single-atom insertion reactions have opened up new synthetic approaches for molecular diversification. Developing innovative strategies to directly transform biologically relevant molecules, without any prefunctionalization, is key to further expanding the scope and utility of such transformations. Herein, the direct access to quinazolines and pyrimidines from the corresponding unprotected 1H-indoles and 1H-pyrroles is reported, relying on the implementation of lithium bis(trimethylsilyl)amide (LiHMDS) as a novel nitrogen atom source in combination with commercially available hypervalent iodine reagents. Further application of this strategy in late-stage settings demonstrates its potential in lead structure diversification campaigns.}, author = {Reisenbauer, Julia and Paschke, Ann-Sophie K. and Krizic, Jelena and Botlik, Bence B. and Finkelstein, Patrick and Morandi, Bill}, issn = {1523-7052}, journal = {Organic Letters}, number = {47}, pages = {8419--8423}, publisher = {American Chemical Society}, title = {{Direct access to quinazolines and pyrimidines from unprotected indoles and pyrroles through nitrogen atom insertion}}, doi = {10.1021/acs.orglett.3c03264}, volume = {25}, year = {2023}, } @article{20760, abstract = {The implementation of HCN-free transfer hydrocyanation reactions on laboratory scales has recently been achieved by using HCN donor reagents under nickel- and Lewis acid co-catalysis. More recently, malononitrile-based HCN donor reagents were shown to undergo the C(sp3)–CN bond activation by the nickel catalyst in the absence of Lewis acids. However, there is a lack of detailed mechanistic understanding of the challenging C(sp3)–CN bond cleavage step. In this work, in-depth kinetic and computational studies using alkynes as substrates were used to elucidate the overall reaction mechanism of this transfer hydrocyanation, with a particular focus on the activation of the C(sp3)–CN bond to generate the active H–Ni–CN transfer hydrocyanation catalyst. Comparisons of experimentally and computationally derived 13C kinetic isotope effect data support a direct oxidative addition mechanism of the nickel catalyst into the C(sp3)–CN bond facilitated by the coordination of the second nitrile group to the nickel catalyst.}, author = {Reisenbauer, Julia and Finkelstein, Patrick and Ebert, Marc-Olivier and Morandi, Bill}, issn = {2155-5435}, journal = {ACS Catalysis}, number = {17}, pages = {11548--11555}, publisher = {American Chemical Society}, title = {{Mechanistic investigation of the nickel-catalyzed transfer hydrocyanation of alkynes}}, doi = {10.1021/acscatal.3c02977}, volume = {13}, year = {2023}, } @article{20761, abstract = {We report a convenient protocol for a nitrogen atom insertion into indenes to afford isoquinolines. The reaction uses a combination of commercially available phenyliodine(III) diacetate (PIDA) and ammonium carbamate as the nitrogen source to furnish a wide range of isoquinolines. Various substitution patterns and commonly used functional groups are well tolerated. The operational simplicity renders this protocol broadly applicable and has been successfully extended towards the direct interconversion of cyclopentadienes into the corresponding pyridines. Furthermore, this strategy enables the facile synthesis of 15N labelled isoquinolines, using 15NH4Cl as a commercial 15N source.}, author = {Finkelstein, Patrick and Reisenbauer, Julia and Botlik, Bence B. and Green, Ori and Florin, Andri and Morandi, Bill}, issn = {2041-6539}, journal = {Chemical Science}, number = {11}, pages = {2954--2959}, publisher = {Royal Society of Chemistry}, title = {{Nitrogen atom insertion into indenes to access isoquinolines}}, doi = {10.1039/d2sc06952k}, volume = {14}, year = {2023}, } @article{20762, abstract = {A metal-free deaminative coupling of non-prefunctionalised benzylamines and arylboronic acids is reported. In this operationally simple reaction, a primary amine in benzylamine is converted into a good leaving group in situ using inexpensive and commercially available isoamyl nitrite as a nitrosating reagent. Lewis-acidic arylboronic acids are shown to replace mineral acids such as HCl or HBF4 that are conventionally used in the preparation of aryl diazonium salts. This unlocked the formation of the corresponding diarylmethanes by forging a new C–C bond in good yields. }, author = {Sirvinskaite, Giedre and Reisenbauer, Julia and Morandi, Bill}, issn = {2041-6539}, journal = {Chemical Science}, number = {7}, pages = {1709--1714}, publisher = {Royal Society of Chemistry}, title = {{Deaminative coupling of benzylamines and arylboronic acids}}, doi = {10.1039/d2sc06055h}, volume = {14}, year = {2023}, } @article{18942, abstract = {Photosynthesis is among the first processes negatively affected by environmental cues and its performance directly determines plant cell fitness and ultimately crop yield. Primarily sites of photosynthesis, chloroplasts are unique sites also for the biosynthesis of precursors of the growth regulator auxin and for sensing environmental stress, but their role in intracellular auxin homeostasis, vital for plant growth and survival in changing environments, remains poorly understood. Here, we identified two ATP-binding cassette (ABC) subfamily B transporters, ABCB28 and ABCB29, which export auxin across the chloroplast envelope to the cytosol in a concerted action in vivo. Moreover, we provide evidence for an auxin biosynthesis pathway in Arabidopsis thaliana chloroplasts. The overexpression of ABCB28 and ABCB29 influenced stomatal regulation and resulted in significantly improved water use efficiency and survival rates during salt and drought stresses. Our results suggest that chloroplast auxin production and transport contribute to stomata regulation for conserving water upon salt stress. ABCB28 and ABCB29 integrate photosynthesis and auxin signals and as such hold great potential to improve the adaptation potential of crops to environmental cues.}, author = {Tamizhselvan, Prashanth and Madhavan, Sharmila and Constan-Aguilar, Christian and Elrefaay, Eman Ryad and Liu, Jie and Pěnčík, Aleš and Novák, Ondřej and Cairó, Albert and Hrtyan, Mónika and Geisler, Markus and Tognetti, Vanesa Beatriz}, issn = {2223-7747}, journal = {Plants}, number = {1}, publisher = {MDPI}, title = {{Chloroplast auxin efflux mediated by ABCB28 and ABCB29 fine-tunes salt and drought stress responses in Arabidopsis}}, doi = {10.3390/plants13010007}, volume = {13}, year = {2023}, } @article{18959, abstract = {This workshop continues a series of workshops whose current format originated in 1981 under then-organizers Moser and Zehnder, and whose latest iteration took place in July 2023. The general goal of this series of workshops is to discuss the latest developments in the field of dynamical systems, broadly construed, and its connections with neighboring areas of mathematics such as differential geometry, partial differential equations, and more recently contact and symplectic geometry. We continued this tradition, bringing in new participants working in areas of dynamical systems and its connections with other areas of mathematics that are currently highly active and/or showing great promise for future development. Key focus areas for the 2023 workshop include spectral rigidity for planar domains, chaotic and oscillatory motions in celestial mechanics, conformal symplectic dynamics, and relations between dynamics.he workshop by the grant DMS-2230648, “US Junior Oberwolfach Fellows”.}, author = {Arnaud, Marie-Claude and Hutchings, Michael and Kaloshin, Vadim}, issn = {1660-8941}, journal = {Oberwolfach Reports}, number = {3}, pages = {1671--1730}, publisher = {EMS Press}, title = {{Dynamische Systeme}}, doi = {10.4171/owr/2023/30}, volume = {20}, year = {2023}, } @article{19053, abstract = {Building on previous works by Bilu, Chambert-Loir and Loeser, we study the asymptotic behaviour of the moduli space of sections of a given family over a smooth projective curve, assuming that the generic fiber is an equivariant compactification of a finite dimensional vector space. Working in a suitable Grothendieck ring of varieties, we show that the class of these moduli spaces converges, modulo an adequate normalisation, to a non-zero effective element, when the class of the sections goes arbitrary far from the boundary of the dual of the effective cone. The limit can be interpreted as a motivic Euler product in the sense of Bilu’s thesis. This result provides a positive answer to a motivic version of the Batyrev–Manin–Peyre conjectures in this particular setting.}, author = {Faisant, Loïs}, issn = {2191-0383}, journal = {Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry}, number = {3}, pages = {783--850}, publisher = {Springer Nature}, title = {{Geometric Batyrev–Manin–Peyre for equivariant compactifications of additive groups}}, doi = {10.1007/s13366-022-00656-w}, volume = {64}, year = {2023}, } @misc{19308, abstract = {This Dataset contains the raw data from the following publication: "Optical and electronic signal stabilization of plasmonic fiber optic gate electrodes: towards improved real-time dual-mode biosensing" (DOI 10.3389/fphy.2023.1202132)}, author = {Hasler, Roger and Polt, Marie-Helene and Reiner-Rozman, Ciril and Fossati, Stefan and Lee, Seungho and Aspermair, Patrik and Kleber, Christoph and Ibáñez, Maria and Dostalek, Jakub and Knoll, Wolfgang}, publisher = {Zenodo}, title = {{Optical and electronic signal stabilization of plasmonic fiber optic gate electrodes: Towards improved real-time dual-mode biosensing}}, doi = {10.5281/ZENODO.7716920}, year = {2023}, } @article{19471, abstract = {Fasting initiates a multitude of adaptations to allow survival. Activation of the hypothalamic–pituitary–adrenal (HPA) axis and subsequent release of glucocorticoid hormones is a key response that mobilizes fuel stores to meet energy demands1,2,3,4,5. Despite the importance of the HPA axis response, the neural mechanisms that drive its activation during energy deficit are unknown. Here, we show that fasting-activated hypothalamic agouti-related peptide (AgRP)-expressing neurons trigger and are essential for fasting-induced HPA axis activation. AgRP neurons do so through projections to the paraventricular hypothalamus (PVH), where, in a mechanism not previously described for AgRP neurons, they presynaptically inhibit the terminals of tonically active GABAergic afferents from the bed nucleus of the stria terminalis (BNST) that otherwise restrain activity of corticotrophin-releasing hormone (CRH)-expressing neurons. This disinhibition of PVHCrh neurons requires γ-aminobutyric acid (GABA)/GABA-B receptor signalling and potently activates the HPA axis. Notably, stimulation of the HPA axis by AgRP neurons is independent of their induction of hunger, showing that these canonical ‘hunger neurons’ drive many distinctly different adaptations to the fasted state. Together, our findings identify the neural basis for fasting-induced HPA axis activation and uncover a unique means by which AgRP neurons activate downstream neurons: through presynaptic inhibition of GABAergic afferents. Given the potency of this disinhibition of tonically active BNST afferents, other activators of the HPA axis, such as psychological stress, may also work by reducing BNST inhibitory tone onto PVHCrh neurons.}, author = {Douglass, Amelia May Barnett and Resch, Jon M. and Madara, Joseph C. and Kucukdereli, Hakan and Yizhar, Ofer and Grama, Abhinav and Yamagata, Masahito and Yang, Zongfang and Lowell, Bradford B.}, issn = {1476-4687}, journal = {Nature}, number = {7972}, pages = {154--162}, publisher = {Springer Nature}, title = {{Neural basis for fasting activation of the hypothalamic–pituitary–adrenal axis}}, doi = {10.1038/s41586-023-06358-0}, volume = {620}, year = {2023}, } @article{19487, abstract = {Fix a non-square integer 𝑘≠0. We show that the number of curves 𝐸𝐵:𝑦^2=𝑥^3+𝑘𝐵^2 containing an integral point, where B ranges over positive integers less than N, is bounded by ≪𝑘𝑁(log𝑁)−1/2+𝜖. In particular, this implies that the number of positive integers 𝐵≤𝑁 such that −3𝑘𝐵^2 is the discriminant of an elliptic curve over 𝑄 is o(N). The proof involves a discriminant-lowering procedure on integral binary cubic forms.}, author = {Chan, Yik Tung}, issn = {1432-1807}, journal = {Mathematische Annalen}, number = {3}, pages = {2275--2288}, publisher = {Springer Nature}, title = {{Integral points on cubic twists of Mordell curves}}, doi = {10.1007/s00208-023-02578-x}, volume = {388}, year = {2023}, } @inproceedings{14744, abstract = {Sharding distributed ledgers is a promising on-chain solution for scaling blockchains but lacks formal grounds, nurturing skepticism on whether such complex systems can scale blockchains securely. We fill this gap by introducing the first formal framework as well as a roadmap to robust sharding. In particular, we first define the properties sharded distributed ledgers should fulfill. We build upon and extend the Bitcoin backbone protocol by defining consistency and scalability. Consistency encompasses the need for atomic execution of cross-shard transactions to preserve safety, whereas scalability encapsulates the speedup a sharded system can gain in comparison to a non-sharded system. Using our model, we explore the limitations of sharding. We show that a sharded ledger with n participants cannot scale under a fully adaptive adversary, but it can scale up to m shards where n=c'm log m, under an epoch-adaptive adversary; the constant c' encompasses the trade-off between security and scalability. This is possible only if the sharded ledgers create succinct proofs of the valid state updates at every epoch. We leverage our results to identify the sufficient components for robust sharding, which we incorporate in a protocol abstraction termed Divide & Scale. To demonstrate the power of our framework, we analyze the most prominent sharded blockchains (Elastico, Monoxide, OmniLedger, RapidChain) and pinpoint where they fail to meet the desired properties.}, author = {Avarikioti, Zeta and Desjardins, Antoine and Kokoris Kogias, Eleftherios and Wattenhofer, Roger}, booktitle = {30th International Colloquium on Structural Information and Communication Complexity}, isbn = {9783031327322}, issn = {1611-3349}, location = {Alcalá de Henares, Spain}, pages = {199--245}, publisher = {Springer Nature}, title = {{Divide & Scale: Formalization and roadmap to robust sharding}}, doi = {10.1007/978-3-031-32733-9_10}, volume = {13892}, year = {2023}, } @inproceedings{14748, author = {Chen, Yi-Lu and Ly, Mickaël and Wojtan, Christopher J}, booktitle = {Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation}, isbn = {9798400702686}, location = {Los Angeles, CA, United States}, publisher = {Association for Computing Machinery}, title = {{Unified treatment of contact, friction and shock-propagation in rigid body animation}}, doi = {10.1145/3606037.3606836}, year = {2023}, } @article{14749, abstract = {We unveil a powerful method for the stabilization of laser injection locking based on sensing variations in the output beam ellipticity of an optically seeded laser. The effect arises due to an interference between the seeding beam and the injected laser output. We demonstrate the method for a commercial semiconductor laser without the need for any internal changes to the readily operational injection locked laser system that was used. The method can also be used to increase the mode-hop free tuning range of lasers, and has the potential to fill a void in the low-noise laser industry.}, author = {Mishra, Umang and Li, Vyacheslav and Wald, Sebastian and Agafonova, Sofya and Diorico, Fritz R and Hosten, Onur}, issn = {1539-4794}, journal = {Optics Letters}, keywords = {Atomic and Molecular Physics, and Optics}, number = {15}, pages = {3973--3976}, publisher = {Optica Publishing Group}, title = {{Monitoring and active stabilization of laser injection locking using beam ellipticity}}, doi = {10.1364/ol.495553}, volume = {48}, year = {2023}, } @article{14750, abstract = {Consider the random matrix model A1/2UBU∗A1/2, where A and B are two N × N deterministic matrices and U is either an N × N Haar unitary or orthogonal random matrix. It is well known that on the macroscopic scale (Invent. Math. 104 (1991) 201–220), the limiting empirical spectral distribution (ESD) of the above model is given by the free multiplicative convolution of the limiting ESDs of A and B, denoted as μα  μβ, where μα and μβ are the limiting ESDs of A and B, respectively. In this paper, we study the asymptotic microscopic behavior of the edge eigenvalues and eigenvectors statistics. We prove that both the density of μA μB, where μA and μB are the ESDs of A and B, respectively and the associated subordination functions have a regular behavior near the edges. Moreover, we establish the local laws near the edges on the optimal scale. In particular, we prove that the entries of the resolvent are close to some functionals depending only on the eigenvalues of A, B and the subordination functions with optimal convergence rates. Our proofs and calculations are based on the techniques developed for the additive model A+UBU∗ in (J. Funct. Anal. 271 (2016) 672–719; Comm. Math. Phys. 349 (2017) 947–990; Adv. Math. 319 (2017) 251–291; J. Funct. Anal. 279 (2020) 108639), and our results can be regarded as the counterparts of (J. Funct. Anal. 279 (2020) 108639) for the multiplicative model. }, author = {Ding, Xiucai and Ji, Hong Chang}, issn = {1050-5164}, journal = {The Annals of Applied Probability}, keywords = {Statistics, Probability and Uncertainty, Statistics and Probability}, number = {4}, pages = {2981--3009}, publisher = {Institute of Mathematical Statistics}, title = {{Local laws for multiplication of random matrices}}, doi = {10.1214/22-aap1882}, volume = {33}, year = {2023}, } @article{14751, abstract = {We consider zero-error communication over a two-transmitter deterministic adversarial multiple access channel (MAC) governed by an adversary who has access to the transmissions of both senders (hence called omniscient ) and aims to maliciously corrupt the communication. None of the encoders, jammer and decoder is allowed to randomize using private or public randomness. This enforces a combinatorial nature of the problem. Our model covers a large family of channels studied in the literature, including all deterministic discrete memoryless noisy or noiseless MACs. In this work, given an arbitrary two-transmitter deterministic omniscient adversarial MAC, we characterize when the capacity region: 1) has nonempty interior (in particular, is two-dimensional); 2) consists of two line segments (in particular, has empty interior); 3) consists of one line segment (in particular, is one-dimensional); 4) or only contains (0,0) (in particular, is zero-dimensional). This extends a recent result by Wang et al. (201 9) from the point-to-point setting to the multiple access setting. Indeed, our converse arguments build upon their generalized Plotkin bound and involve delicate case analysis. One of the technical challenges is to take care of both “joint confusability” and “marginal confusability”. In particular, the treatment of marginal confusability does not follow from the point-to-point results by Wang et al. Our achievability results follow from random coding with expurgation.}, author = {Zhang, Yihan}, issn = {1557-9654}, journal = {IEEE Transactions on Information Theory}, keywords = {Computer Science Applications, Information Systems}, number = {7}, pages = {4093--4127}, publisher = {Institute of Electrical and Electronics Engineers}, title = {{Zero-error communication over adversarial MACs}}, doi = {10.1109/tit.2023.3257239}, volume = {69}, year = {2023}, } @article{14752, abstract = {Radiative cooling of the lowest atmospheric levels is of strong importance for modulating atmospheric circulations and organizing convection, but detailed observations and a robust theoretical understanding are lacking. Here we use unprecedented observational constraints from subsidence regimes in the tropical Atlantic to develop a theory for the shape and magnitude of low‐level longwave radiative cooling in clear‐sky, showing peaks larger than 5–10 K/day at the top of the boundary layer. A suite of novel scaling approximations is first developed from simplified spectral theory, in close agreement with the measurements. The radiative cooling peak height is set by the maximum lapse rate in water vapor path, and its magnitude is mainly controlled by the ratio of column relative humidity above and below the peak. We emphasize how elevated intrusions of moist air can reduce low‐level cooling, by sporadically shading the spectral range which effectively cools to space. The efficiency of this spectral shading depends both on water content and altitude of moist intrusions; its height dependence cannot be explained by the temperature difference between the emitting and absorbing layers, but by the decrease of water vapor extinction with altitude. This analytical work can help to narrow the search for low‐level cloud patterns sensitive to radiative‐convective feedbacks: the most organized patterns with largest cloud fractions occur in atmospheres below 10% relative humidity and feel the strongest low‐level cooling. This motivates further assessment of favorable conditions for radiative‐convective feedbacks and a robust quantification of corresponding shallow cloud dynamics in current and warmer climates.}, author = {Fildier, B. and Muller, Caroline J and Pincus, R. and Fueglistaler, S.}, issn = {2576-604X}, journal = {AGU Advances}, keywords = {General Earth and Planetary Sciences}, number = {3}, publisher = {American Geophysical Union}, title = {{How moisture shapes low‐level radiative cooling in subsidence regimes}}, doi = {10.1029/2023av000880}, volume = {4}, year = {2023}, } @article{14753, abstract = {Several fixed-target experiments reported J/ψ and ϒ polarizations, as functions of Feynman x (xF) and transverse momentum (PT), in three different frames, using different combinations of beam particles, target nuclei, and collision energies. Despite the diverse and heterogeneous picture formed by these measurements, a detailed look allows us to discern qualitative physical patterns that inspire a simple empirical model. This data-driven scenario offers a good quantitative description of the J/ψ and ϒ(1S) polarizations measured in proton- and pion-nucleus collisions, in the xF 0.5 domain: more than 80 data points (not statistically independent) are well reproduced with only one free parameter. This study sets the context for future low-PT quarkonium polarization measurements in proton- and pion-nucleus collisions, such as those to be made by the AMBER experiment, and shows that such measurements provide significant constraints on the poorly-known parton distribution functions of the pion.}, author = {Faccioli, Pietro and Krätschmer, Ilse and Lourenço, Carlos}, issn = {1873-2445}, journal = {Physics Letters B}, keywords = {Nuclear and High Energy Physics}, publisher = {Elsevier}, title = {{Low-pT quarkonium polarization measurements: Challenges and opportunities}}, doi = {10.1016/j.physletb.2023.137871}, volume = {840}, year = {2023}, } @article{14754, abstract = {The large-scale laminar/turbulent spiral patterns that appear in the linearly unstable regime of counter-rotating Taylor–Couette flow are investigated from a statistical perspective by means of direct numerical simulation. Unlike the vast majority of previous numerical studies, we analyse the flow in periodic parallelogram-annular domains, following a coordinate change that aligns one of the parallelogram sides with the spiral pattern. The domain size, shape and spatial resolution have been varied and the results compared with those in a sufficiently large computational orthogonal domain with natural axial and azimuthal periodicity. We find that a minimal parallelogram of the right tilt significantly reduces the computational cost without notably compromising the statistical properties of the supercritical turbulent spiral. Its mean structure, obtained from extremely long time integrations in a co-rotating reference frame using the method of slices, bears remarkable similarity with the turbulent stripes observed in plane Couette flow, the centrifugal instability playing only a secondary role.}, author = {Wang, B. and Mellibovsky, F. and Ayats López, Roger and Deguchi, K. and Meseguer, A.}, issn = {1471-2962}, journal = {Philosophical Transactions of the Royal Society A}, keywords = {General Physics and Astronomy, General Engineering, General Mathematics}, number = {2246}, publisher = {The Royal Society}, title = {{Mean structure of the supercritical turbulent spiral in Taylor–Couette flow}}, doi = {10.1098/rsta.2022.0112}, volume = {381}, year = {2023}, } @article{14755, abstract = {We consider the sharp interface limit for the scalar-valued and vector-valued Allen–Cahn equation with homogeneous Neumann boundary condition in a bounded smooth domain Ω of arbitrary dimension N ⩾ 2 in the situation when a two-phase diffuse interface has developed and intersects the boundary ∂ Ω. The limit problem is mean curvature flow with 90°-contact angle and we show convergence in strong norms for well-prepared initial data as long as a smooth solution to the limit problem exists. To this end we assume that the limit problem has a smooth solution on [ 0 , T ] for some time T > 0. Based on the latter we construct suitable curvilinear coordinates and set up an asymptotic expansion for the scalar-valued and the vector-valued Allen–Cahn equation. In order to estimate the difference of the exact and approximate solutions with a Gronwall-type argument, a spectral estimate for the linearized Allen–Cahn operator in both cases is required. The latter will be shown in a separate paper, cf. (Moser (2021)).}, author = {Moser, Maximilian}, issn = {1875-8576}, journal = {Asymptotic Analysis}, keywords = {General Mathematics}, number = {3-4}, pages = {297--383}, publisher = {IOS Press}, title = {{Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result}}, doi = {10.3233/asy-221775}, volume = {131}, year = {2023}, }