@article{17557,
  abstract     = {The black hole (BH) binaries in active galactic nuclei (AGN) are expected to form mainly through scattering encounters in the ambient gaseous medium. Recent simulations, including our own, have confirmed this formation pathway is highly efficient. We perform 3D smoothed particle hydrodynamics (SPH) simulations of BH scattering encounters in AGN discs. Using a range of impact parameters, we probe the necessary conditions for binary capture and how different orbital trajectories affect the dissipative effects from the gas. We identify a single range of impact parameters, typically of width ∼0.86−1.59 binary Hill radii depending on AGN disc density, that reliably leads to binary formation. The periapsis of the first encounter is the primary variable that determines the outcome of the initial scattering. We find an associated power law between the energy dissipated and the periapsis depth to be ΔE ∝ r−b with b = 0.42 ± 0.16, where deeper encounters dissipate more energy. Excluding accretion physics does not significantly alter these results. We identify the region of parameter space in initial energy versus impact parameter where a scattering leads to binary formation. Based on our findings, we provide a ready-to-use analytic criterion that utilizes these two pre-encounter parameters to determine the outcome of an encounter, with a reliability rate of &amp;gt;90 per cent. As the criterion is based directly on our simulations, it provides a reliable and highly physically motivated criterion for predicting binary scattering outcomes which can be used in population studies of BH binaries and mergers around AGN.},
  author       = {Rowan, Connar and Whitehead, Henry and Boekholt, Tjarda and Kocsis, Bence and Haiman, Zoltán},
  issn         = {0035-8711},
  journal      = {Monthly Notices of the Royal Astronomical Society},
  number       = {4},
  pages        = {10448--10468},
  publisher    = {Oxford University Press (OUP)},
  title        = {{Black hole binaries in AGN accretion discs – II. Gas effects on black hole satellite scatterings}},
  doi          = {10.1093/mnras/stad3641},
  volume       = {527},
  year         = {2023},
}

@article{17558,
  abstract     = {The detection of starlight from the host galaxies of quasars during the reionization epoch (z > 6) has been elusive, even with deep Hubble Space Telescope observations1,2. The current highest redshift quasar host detected3, at z = 4.5, required the magnifying effect of a foreground lensing galaxy. Low-luminosity quasars4,5,6 from the Hyper Suprime-Cam Subaru Strategic Program (HSC-SSP)7 mitigate the challenge of detecting their underlying, previously undetected host galaxies. Here we report rest-frame optical images and spectroscopy of two HSC-SSP quasars at z > 6 with the JWST. Using near-infrared camera imaging at 3.6 and 1.5 μm and subtracting the light from the unresolved quasars, we find that the host galaxies are massive (stellar masses of 13 × and 3.4 × 1010 M☉, respectively), compact and disc-like. Near-infrared spectroscopy at medium resolution shows stellar absorption lines in the more massive quasar, confirming the detection of the host. Velocity-broadened gas in the vicinity of these quasars enables measurements of their black hole masses (1.4 × 109 and 2.0 × 108 M☉, respectively). Their location in the black hole mass–stellar mass plane is consistent with the distribution at low redshift, suggesting that the relation between black holes and their host galaxies was already in place less than a billion years after the Big Bang.},
  author       = {Ding, Xuheng and Onoue, Masafusa and Silverman, John D. and Matsuoka, Yoshiki and Izumi, Takuma and Strauss, Michael A. and Jahnke, Knud and Phillips, Camryn L. and Li, Junyao and Volonteri, Marta and Haiman, Zoltán and Andika, Irham Taufik and Aoki, Kentaro and Baba, Shunsuke and Bieri, Rebekka and Bosman, Sarah E. I. and Bottrell, Connor and Eilers, Anna-Christina and Fujimoto, Seiji and Habouzit, Melanie and Imanishi, Masatoshi and Inayoshi, Kohei and Iwasawa, Kazushi and Kashikawa, Nobunari and Kawaguchi, Toshihiro and Kohno, Kotaro and Lee, Chien-Hsiu and Lupi, Alessandro and Lyu, Jianwei and Nagao, Tohru and Overzier, Roderik and Schindler, Jan-Torge and Schramm, Malte and Shimasaku, Kazuhiro and Toba, Yoshiki and Trakhtenbrot, Benny and Trebitsch, Maxime and Treu, Tommaso and Umehata, Hideki and Venemans, Bram P. and Vestergaard, Marianne and Walter, Fabian and Wang, Feige and Yang, Jinyi},
  issn         = {0028-0836},
  journal      = {Nature},
  number       = {7977},
  pages        = {51--55},
  publisher    = {Springer Science and Business Media LLC},
  title        = {{Detection of stellar light from quasar host galaxies at redshifts above 6}},
  doi          = {10.1038/s41586-023-06345-5},
  volume       = {621},
  year         = {2023},
}

@article{17573,
  abstract     = {The Laser Interferometer Space Antenna (LISA) will be a transformative experiment for gravitational wave astronomy, and, as such, it will offer unique opportunities to address many key astrophysical questions in a completely novel way. The synergy with ground-based and space-born instruments in the electromagnetic domain, by enabling multi-messenger observations, will add further to the discovery potential of LISA. The next decade is crucial to prepare the astrophysical community for LISA’s first observations. This review outlines the extensive landscape of astrophysical theory, numerical simulations, and astronomical observations that are instrumental for modeling and interpreting the upcoming LISA datastream. To this aim, the current knowledge in three main source classes for LISA is reviewed; ultra-compact stellar-mass binaries, massive black hole binaries, and extreme or interme-diate mass ratio inspirals. The relevant astrophysical processes and the established modeling techniques are summarized. Likewise, open issues and gaps in our understanding of these sources are highlighted, along with an indication of how LISA could help making progress in the different areas. New research avenues that LISA itself, or its joint exploitation with upcoming studies in the electromagnetic domain, will enable, are also illustrated. Improvements in modeling and analysis approaches, such as the combination of numerical simulations and modern data science techniques, are discussed. This review is intended to be a starting point for using LISA as a new discovery tool for understanding our Universe.},
  author       = {Amaro-Seoane, Pau and Andrews, Jeff and Arca Sedda, Manuel and Askar, Abbas and Baghi, Quentin and Balasov, Razvan and Bartos, Imre and Bavera, Simone S. and Bellovary, Jillian and Berry, Christopher P. L. and Berti, Emanuele and Bianchi, Stefano and Blecha, Laura and Blondin, Stéphane and Bogdanović, Tamara and Boissier, Samuel and Bonetti, Matteo and Bonoli, Silvia and Bortolas, Elisa and Breivik, Katelyn and Capelo, Pedro R. and Caramete, Laurentiu and Cattorini, Federico and Charisi, Maria and Chaty, Sylvain and Chen, Xian and Chruślińska, Martyna and Chua, Alvin J. K. and Church, Ross and Colpi, Monica and D’Orazio, Daniel and Danielski, Camilla and Davies, Melvyn B. and Dayal, Pratika and De Rosa, Alessandra and Derdzinski, Andrea and Destounis, Kyriakos and Dotti, Massimo and Duţan, Ioana and Dvorkin, Irina and Fabj, Gaia and Foglizzo, Thierry and Ford, Saavik and Fouvry, Jean-Baptiste and Franchini, Alessia and Fragos, Tassos and Fryer, Chris and Gaspari, Massimo and Gerosa, Davide and Graziani, Luca and Groot, Paul and Habouzit, Melanie and Haggard, Daryl and Haiman, Zoltán and Han, Wen-Biao and Istrate, Alina and Johansson, Peter H. and Khan, Fazeel Mahmood and Kimpson, Tomas and Kokkotas, Kostas and Kong, Albert and Korol, Valeriya and Kremer, Kyle and Kupfer, Thomas and Lamberts, Astrid and Larson, Shane and Lau, Mike and Liu, Dongliang and Lloyd-Ronning, Nicole and Lodato, Giuseppe and Lupi, Alessandro and Ma, Chung-Pei and Maccarone, Tomas and Mandel, Ilya and Mangiagli, Alberto and Mapelli, Michela and Mathis, Stéphane and Mayer, Lucio and McGee, Sean and McKernan, Berry and Miller, M. Coleman and Mota, David F. and Mumpower, Matthew and Nasim, Syeda S. and Nelemans, Gijs and Noble, Scott and Pacucci, Fabio and Panessa, Francesca and Paschalidis, Vasileios and Pfister, Hugo and Porquet, Delphine and Quenby, John and Ricarte, Angelo and Röpke, Friedrich K. and Regan, John and Rosswog, Stephan and Ruiter, Ashley and Ruiz, Milton and Runnoe, Jessie and Schneider, Raffaella and Schnittman, Jeremy and Secunda, Amy and Sesana, Alberto and Seto, Naoki and Shao, Lijing and Shapiro, Stuart and Sopuerta, Carlos and Stone, Nicholas C. and Suvorov, Arthur and Tamanini, Nicola and Tamfal, Tomas and Tauris, Thomas and Temmink, Karel and Tomsick, John and Toonen, Silvia and Torres-Orjuela, Alejandro and Toscani, Martina and Tsokaros, Antonios and Unal, Caner and Vázquez-Aceves, Verónica and Valiante, Rosa and van Putten, Maurice and van Roestel, Jan and Vignali, Christian and Volonteri, Marta and Wu, Kinwah and Younsi, Ziri and Yu, Shenghua and Zane, Silvia and Zwick, Lorenz and Antonini, Fabio and Baibhav, Vishal and Barausse, Enrico and Bonilla Rivera, Alexander and Branchesi, Marica and Branduardi-Raymont, Graziella and Burdge, Kevin and Chakraborty, Srija and Cuadra, Jorge and Dage, Kristen and Davis, Benjamin and de Mink, Selma E. and Decarli, Roberto and Doneva, Daniela and Escoffier, Stephanie and Gandhi, Poshak and Haardt, Francesco and Lousto, Carlos O. and Nissanke, Samaya and Nordhaus, Jason and O’Shaughnessy, Richard and Portegies Zwart, Simon and Pound, Adam and Schussler, Fabian and Sergijenko, Olga and Spallicci, Alessandro and Vernieri, Daniele and Vigna-Gómez, Alejandro},
  issn         = {1433-8351},
  journal      = {Living Reviews in Relativity},
  number       = {1},
  publisher    = {Springer Science and Business Media LLC},
  title        = {{Astrophysics with the laser interferometer space antenna}},
  doi          = {10.1007/s41114-022-00041-y},
  volume       = {26},
  year         = {2023},
}

@article{17584,
  abstract     = {Some Seyfert galaxies are detected in high-energy gamma rays, but the mechanism and site of gamma-ray emission are unknown. Also, the origins of the cosmic high-energy neutrino and MeV gamma-ray backgrounds have been veiled in mystery since their discoveries. We propose emission from stellar-mass BHs (sBHs) embedded in disks of active galactic nuclei as their possible sources. These sBHs are predicted to launch jets due to the Blandford–Znajek mechanism, which can produce intense electromagnetic, neutrino, and cosmic-ray emissions. We investigate whether these emissions can be the sources of cosmic high-energy particles. We find that emission from internal shocks in the jets can explain gamma rays from nearby radio-quiet Seyfert galaxies including NGC 1068, if the Lorentz factor of the jets (Γj) is high. On the other hand, for moderate Γj, the emission can significantly contribute to the background gamma-ray and neutrino intensities in the ~MeV and ≲PeV bands, respectively. Furthermore, for moderate Γj with efficient amplification of the magnetic field and cosmic-ray acceleration, the neutrino emission from NGC 1068 and the ultrahigh-energy cosmic rays can be explained. These results suggest that the neutrino flux from NGC 1068 as well as the background intensities of MeV gamma rays, neutrinos, and the ultrahigh-energy cosmic rays can be explained by a unified model. Future MeV gamma-ray satellites will test our scenario for neutrino emission.},
  author       = {Tagawa, Hiromichi and Kimura, Shigeo S. and Haiman, Zoltán},
  issn         = {0004-637X},
  journal      = {The Astrophysical Journal},
  number       = {1},
  publisher    = {American Astronomical Society},
  title        = {{High-energy electromagnetic, neutrino, and cosmic-ray emission by stellar-mass black holes in disks of active galactic nuclei}},
  doi          = {10.3847/1538-4357/ace71d},
  volume       = {955},
  year         = {2023},
}

@article{17594,
  abstract     = {The origin of stellar-mass black hole mergers discovered through gravitational waves is being widely debated. Mergers in the disks of active galactic nuclei (AGNs) represent a promising source of origin, with possible observational clues in the gravitational-wave data. Beyond gravitational waves, a unique signature of AGN-assisted mergers is electromagnetic emission from the accreting black holes. Here we show that jets launched by accreting black holes merging in an AGN disk can be detected as peculiar transients by infrared, optical, and X-ray observatories. We further show that this emission mechanism can explain the possible associations between gravitational-wave events and the optical transient ZTF 19abanrhr and the proposed gamma-ray counterparts GW150914-GBM and LVT151012-GBM. We demonstrate how these associations, if genuine, can be used to reconstruct the properties of these events’ environments. Searching for infrared and X-ray counterparts to similar electromagnetic transients in the future, once host galaxies are localized by optical observations, could provide a smoking-gun signature of the mergers’ AGN origin.},
  author       = {Tagawa, Hiromichi and Kimura, Shigeo S. and Haiman, Zoltán and Perna, Rosalba and Bartos, Imre},
  issn         = {0004-637X},
  journal      = {The Astrophysical Journal},
  number       = {1},
  publisher    = {American Astronomical Society},
  title        = {{Observable signature of merging stellar-mass black holes in active galactic nuclei}},
  doi          = {10.3847/1538-4357/acc4bb},
  volume       = {950},
  year         = {2023},
}

@article{17602,
  abstract     = {Motivated by the increasing number of detections of merging black holes by LIGO-VIRGO-KAGRA, black hole (BH) binary mergers in the discs of active galactic nuclei (AGNs) is investigated as a possible merger channel. In this pathway, BH encounters in the gas disc form mutually bound BH binary systems through interaction with the gas in the disc and subsequently inspiral through gravitational torques induced by the local gas. To determine the feasibility of this merger pathway, we present the first three-dimensional global hydrodynamic simulations of the formation and evolution of a stellar-mass BH binaries AGN discs with three different AGN disc masses and five different initial radial separations. These 15 simulations show binary capture of prograde and retrograde binaries can be successful in a range of disc densities including cases well below that of a standard radiatively efficient alpha disc, identifying that the majority of these captured binaries are then subsequently hardened by the surrounding gas. The eccentricity evolution depends strongly on the orbital rotation where prograde binaries are governed by gravitational torques form their circumbinary mini disc, with eccentricities being damped, while for retrograde binaries the eccentricities are excited to >∼ 0.9 by accretion torques. In two cases, retrograde binaries ultimately undergo a close periapsis passage which results in a merger via gravitational waves after only a few thousand binary orbits. Thus, the merger time-scale can be far shorter than the AGN disc lifetime. These simulations support an efficient AGN disc merger pathway for BHs.},
  author       = {Rowan, Connar and Boekholt, Tjarda and Kocsis, Bence and Haiman, Zoltán},
  issn         = {0035-8711},
  journal      = {Monthly Notices of the Royal Astronomical Society},
  number       = {2},
  pages        = {2770--2796},
  publisher    = {Oxford University Press},
  title        = {{Black hole binary formation in AGN discs: from isolation to merger}},
  doi          = {10.1093/mnras/stad1926},
  volume       = {524},
  year         = {2023},
}

@article{17606,
  abstract     = {We present the first results from the JWST ASPIRE program (A SPectroscopic survey of biased halos In the Reionization Era). This program represents an imaging and spectroscopic survey of 25 reionization-era quasars and their environments by utilizing the unprecedented capabilities of NIRCam Wide Field Slitless Spectroscopy (WFSS) mode. ASPIRE will deliver the largest (∼280 arcmin^2) galaxy redshift survey at 3-4 μm among JWST Cycle-1 programs and provide extensive legacy values for studying the formation of the earliest supermassive black holes (SMBHs), the assembly of galaxies, early metal enrichment, and cosmic reionization. In this first ASPIRE paper, we report the discovery of a filamentary structure traced by the luminous quasar J0305-3150 and ten [OIII] emitters at z=6.6. This structure has a 3D galaxy overdensity of δgal=12.6 over 637 cMpc3, one of the most overdense structures known in the early universe, and could eventually evolve into a massive galaxy cluster. Together with existing VLT/MUSE and ALMA observations of this field, our JWST observations reveal that J0305-3150 traces a complex environment where both UV-bright and dusty galaxies are present, and indicate that the early evolution of galaxies around the quasar is not simultaneous. In addition, we discovered 31 [OIII] emitters in this field at other redshifts, 5.3<z<6.7, with half of them situated at z∼5.4 and z∼6.2. This indicates that star-forming galaxies, such as [OIII] emitters, are generally clustered at high redshifts. These discoveries demonstrate the unparalleled redshift survey capabilities of NIRCam WFSS and the potential of the full ASPIRE survey dataset.},
  author       = {Wang, Feige and Yang, Jinyi and Hennawi, Joseph F. and Fan, Xiaohui and Sun, Fengwu and Champagne, Jaclyn B. and Costa, Tiago and Habouzit, Melanie and Endsley, Ryan and Li, Zihao and Lin, Xiaojing and Meyer, Romain A. and Schindler, Jan–Torge and Wu, Yunjing and Bañados, Eduardo and Barth, Aaron J. and Bhowmick, Aklant K. and Bieri, Rebekka and Blecha, Laura and Bosman, Sarah and Cai, Zheng and Colina, Luis and Connor, Thomas and Davies, Frederick B. and Decarli, Roberto and De Rosa, Gisella and Drake, Alyssa B. and Egami, Eiichi and Eilers, Anna-Christina and Evans, Analis E. and Farina, Emanuele Paolo and Haiman, Zoltán and Jiang, Linhua and Jin, Xiangyu and Jun, Hyunsung D. and Kakiichi, Koki and Khusanova, Yana and Kulkarni, Girish and Li, Mingyu and Liu, Weizhe and Loiacono, Federica and Lupi, Alessandro and Mazzucchelli, Chiara and Onoue, Masafusa and Pudoka, Maria A. and Rojas-Ruiz, Sofía and Shen, Yue and Strauss, Michael A. and Tee, Wei Leong and Trakhtenbrot, Benny and Trebitsch, Maxime and Venemans, Bram and Volonteri, Marta and Walter, Fabian and Xie, Zhang-Liang and Yue, Minghao and Zhang, Haowen and Zhang, Huanian and Zou, Siwei},
  issn         = {2041-8205},
  journal      = {The Astrophysical Journal Letters},
  number       = {1},
  publisher    = {American Astronomical Society},
  title        = {{A SPectroscopic survey of biased halos in the reionization era (ASPIRE): JWST reveals a filamentary structure around a z = 6.61 Quasar}},
  doi          = {10.3847/2041-8213/accd6f},
  volume       = {951},
  year         = {2023},
}

@article{17611,
  abstract     = {The project MOMO (Multiwavelength Observations and Modelling of OJ 287) was set up to test predictions of binary supermassive black hole (SMBH) scenarios and to understand disc–jet physics of the blazar OJ 287. After a correction, the precessing binary (PB) SMBH model predicted the next main outburst of OJ 287 in 2022 October, making the outburst well observable and the model testable. We have densely covered this period in our ongoing multifrequency radio, optical, ultraviolet (UV), and X-ray monitoring. The predicted outburst was not detected. Instead, OJ 287 was at low optical–UV emission levels, declining further into November. The predicted thermal bremsstrahlung spectrum was not observed either, at any epoch. Further, applying scaling relations, we estimate an SMBH mass of OJ 287 of 108 M⊙. The latest in a sequence of deep low states that recur every 1–2 yr is used to determine an upper limit on the Eddington ratio and on the accretion-disc luminosity. This limit is at least a factor of 10 lower than required by the PB model with its massive primary SMBH of &amp;gt;1010 M⊙. All these results favour alternative binary SMBH models of OJ 287 that require neither strong orbital precession nor a very large mass of the primary SMBH.},
  author       = {Komossa, S and Grupe, D and Kraus, A and Gurwell, M A and Haiman, Zoltán and Liu, F K and Tchekhovskoy, A and Gallo, L C and Berton, M and Blandford, R and Gómez, J L and Gonzalez, A G},
  issn         = {1745-3925},
  journal      = {Monthly Notices of the Royal Astronomical Society: Letters},
  number       = {1},
  pages        = {L84--L88},
  publisher    = {Oxford University Press},
  title        = {{Absence of the predicted 2022 October outburst of OJ 287 and implications for binary SMBH scenarios}},
  doi          = {10.1093/mnrasl/slad016},
  volume       = {522},
  year         = {2023},
}

@article{8682,
  abstract     = {It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover, for such varieties it follows from a general conjecture of Colliot-Thélène that the Brauer--Manin obstruction to the Hasse principle should be the only one, so that the Hasse principle is expected to hold. Working over the field of rational numbers and ordering Fano hypersurfaces of fixed degree and dimension by height, we prove that almost every such hypersurface satisfies the Hasse principle provided that the dimension is at least 3. This proves a conjecture of Poonen and Voloch in every case except for cubic surfaces.},
  author       = {Browning, Timothy D and Boudec, Pierre Le and Sawin, Will},
  issn         = {0003-486X},
  journal      = {Annals of Mathematics},
  number       = {3},
  pages        = {1115--1203},
  publisher    = {Princeton University},
  title        = {{The Hasse principle for random Fano hypersurfaces}},
  doi          = {10.4007/annals.2023.197.3.3},
  volume       = {197},
  year         = {2023},
}

@article{9034,
  abstract     = {We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of P3 outside certain planes using universal torsors.},
  author       = {Wilsch, Florian Alexander},
  issn         = {1687-0247},
  journal      = {International Mathematics Research Notices},
  number       = {8},
  pages        = {6780--6808},
  publisher    = {Oxford University Press},
  title        = {{Integral points of bounded height on a log Fano threefold}},
  doi          = {10.1093/imrn/rnac048},
  volume       = {2023},
  year         = {2023},
}

@article{9652,
  abstract     = {In 1998 Burago and Kleiner and (independently) McMullen gave examples of separated nets in Euclidean space which are non-bilipschitz equivalent to the integer lattice. We study weaker notions of equivalence of separated nets and demonstrate that such notions also give rise to distinct equivalence classes. Put differently, we find occurrences of particularly strong divergence of separated nets from the integer lattice. Our approach generalises that of Burago and Kleiner and McMullen which takes place largely in a continuous setting. Existence of irregular separated nets is verified via the existence of non-realisable density functions ρ:[0,1]d→(0,∞). In the present work we obtain stronger types of non-realisable densities.},
  author       = {Dymond, Michael and Kaluza, Vojtech},
  issn         = {1565-8511},
  journal      = {Israel Journal of Mathematics},
  keywords     = {Lipschitz, bilipschitz, bounded displacement, modulus of continuity, separated net, non-realisable density, Burago--Kleiner construction},
  pages        = {501--554},
  publisher    = {Springer Nature},
  title        = {{Highly irregular separated nets}},
  doi          = {10.1007/s11856-022-2448-6},
  volume       = {253},
  year         = {2023},
}

@misc{13116,
  abstract     = {The emergence of large-scale order in self-organized systems relies on local interactions between individual components. During bacterial cell division, FtsZ -- a prokaryotic homologue of the eukaryotic protein tubulin -- polymerizes into treadmilling filaments that further organize into a cytoskeletal ring. In vitro, FtsZ filaments can form dynamic chiral assemblies. However, how the active and passive properties of individual filaments relate to these large-scale self-organized structures remains poorly understood. Here, we connect single filament properties with the mesoscopic scale by combining minimal active matter simulations and biochemical reconstitution experiments. We show that density and flexibility of active chiral filaments define their global order. At intermediate densities, curved, flexible filaments organize into chiral rings and polar bands. An effectively nematic organization dominates for high densities and for straight, mutant filaments with increased rigidity. Our predicted phase diagram captures these features quantitatively, demonstrating how the flexibility, density and chirality of active filaments affect their collective behaviour. Our findings shed light on the fundamental properties of active chiral matter and explain how treadmilling FtsZ filaments organize during bacterial cell division. },
  author       = {Dunajova, Zuzana and Prats Mateu, Batirtze and Radler, Philipp and Lim, Keesiang and Brandis, Dörte and Velicky, Philipp and Danzl, Johann G and Wong, Richard W. and Elgeti, Jens and Hannezo, Edouard B and Loose, Martin},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Chiral and nematic phases of flexible active filaments}},
  doi          = {10.15479/AT:ISTA:13116},
  year         = {2023},
}

@inproceedings{13120,
  abstract     = {We formalized general (i.e., type-0) grammars using the Lean 3 proof assistant. We defined basic notions of rewrite rules and of words derived by a grammar, and used grammars to show closure of the class of type-0 languages under four operations: union, reversal, concatenation, and the Kleene star. The literature mostly focuses on Turing machine arguments, which are possibly more difficult to formalize. For the Kleene star, we could not follow the literature and came up with our own grammar-based construction.},
  author       = {Dvorak, Martin and Blanchette, Jasmin},
  booktitle    = {14th International Conference on Interactive Theorem Proving},
  isbn         = {9783959772846},
  issn         = {1868-8969},
  location     = {Bialystok, Poland},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{Closure properties of general grammars - formally verified}},
  doi          = {10.4230/LIPIcs.ITP.2023.15},
  volume       = {268},
  year         = {2023},
}

@article{14466,
  abstract     = {The first long-lived turbulent structures observable in planar shear flows take the form of localized stripes, inclined with respect to the mean flow direction. The dynamics of these stripes is central to transition, and recent studies proposed an analogy to directed percolation where the stripes’ proliferation is ultimately responsible for the turbulence becoming sustained. In the present study we focus on the internal stripe dynamics as well as on the eventual stripe expansion, and we compare the underlying mechanisms in pressure- and shear-driven planar flows, respectively, plane-Poiseuille and plane-Couette flow. Despite the similarities of the overall laminar–turbulence patterns, the stripe proliferation processes in the two cases are fundamentally different. Starting from the growth and sustenance of individual stripes, we find that in plane-Couette flow new streaks are created stochastically throughout the stripe whereas in plane-Poiseuille flow streak creation is deterministic and occurs locally at the downstream tip. Because of the up/downstream symmetry, Couette stripes, in contrast to Poiseuille stripes, have two weak and two strong laminar turbulent interfaces. These differences in symmetry as well as in internal growth give rise to two fundamentally different stripe splitting mechanisms. In plane-Poiseuille flow splitting is connected to the elongational growth of the original stripe, and it results from a break-off/shedding of the stripe's tail. In plane-Couette flow splitting follows from a broadening of the original stripe and a division along the stripe into two slimmer stripes.},
  author       = {Marensi, Elena and Yalniz, Gökhan and Hof, Björn},
  issn         = {1469-7645},
  journal      = {Journal of Fluid Mechanics},
  keywords     = {turbulence, transition to turbulence, patterns},
  publisher    = {Cambridge University Press},
  title        = {{Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows}},
  doi          = {10.1017/jfm.2023.780},
  volume       = {974},
  year         = {2023},
}

@article{12105,
  abstract     = {Data-driven dimensionality reduction methods such as proper orthogonal decomposition and dynamic mode decomposition have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known challenge for these techniques is posed by the continuous symmetries, e.g. translations and rotations, of the system under consideration, as drifts in the data dominate the modal expansions without providing an insight into the dynamics of the problem. In the present study, we address this issue for fluid flows in rectangular channels by formulating a continuous symmetry reduction method that eliminates the translations in the streamwise and spanwise directions simultaneously. We demonstrate our method by computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity of the invariant solutions with translation symmetries, i.e. travelling waves and relative periodic orbits, whereas in the latter, our calculations reveal episodes of turbulent time evolution that can be approximated by a low-dimensional linear expansion.},
  author       = {Marensi, Elena and Yalniz, Gökhan and Hof, Björn and Budanur, Nazmi B},
  issn         = {1469-7645},
  journal      = {Journal of Fluid Mechanics},
  publisher    = {Cambridge University Press},
  title        = {{Symmetry-reduced dynamic mode decomposition of near-wall turbulence}},
  doi          = {10.1017/jfm.2022.1001},
  volume       = {954},
  year         = {2023},
}

@article{13274,
  abstract     = {Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to high-dimensional motion can be rationalized within the framework of the Navier-Stokes equations is not well understood. Exploiting geometrical properties of transitional channel flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible and identify the complete path that reversibly links fully turbulent motion to an invariant solution. This precursor of turbulence destabilizes rapidly with Re, and the accompanying explosive increase in attractor dimension effectively marks the transition between deterministic and de facto stochastic dynamics.},
  author       = {Paranjape, Chaitanya S and Yalniz, Gökhan and Duguet, Yohann and Budanur, Nazmi B and Hof, Björn},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  keywords     = {General Physics and Astronomy},
  number       = {3},
  publisher    = {American Physical Society},
  title        = {{Direct path from turbulence to time-periodic solutions}},
  doi          = {10.1103/physrevlett.131.034002},
  volume       = {131},
  year         = {2023},
}

@article{12788,
  abstract     = {We show that the simplest of existing molecules—closed-shell diatomics not interacting with one another—host topological charges when driven by periodic far-off-resonant laser pulses. A periodically kicked molecular rotor can be mapped onto a “crystalline” lattice in angular momentum space. This allows us to define quasimomenta and the band structure in the Floquet representation, by analogy with the Bloch waves of solid-state physics. Applying laser pulses spaced by 1/3 of the molecular rotational period creates a lattice with three atoms per unit cell with staggered hopping. Within the synthetic dimension of the laser strength, we discover Dirac cones with topological charges. These Dirac cones, topologically protected by reflection and time-reversal symmetry, are reminiscent of (although not equivalent to) that seen in graphene. They—and the corresponding edge states—are broadly tunable by adjusting the laser strength and can be observed in present-day experiments by measuring molecular alignment and populations of rotational levels. This paves the way to study controllable topological physics in gas-phase experiments with small molecules as well as to classify dynamical molecular states by their topological invariants.},
  author       = {Karle, Volker and Ghazaryan, Areg and Lemeshko, Mikhail},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  number       = {10},
  publisher    = {American Physical Society},
  title        = {{Topological charges of periodically kicked molecules}},
  doi          = {10.1103/PhysRevLett.130.103202},
  volume       = {130},
  year         = {2023},
}

@article{12787,
  abstract     = {Populations evolve in spatially heterogeneous environments. While a certain trait might bring a fitness advantage in some patch of the environment, a different trait might be advantageous in another patch. Here, we study the Moran birth–death process with two types of individuals in a population stretched across two patches of size N, each patch favouring one of the two types. We show that the long-term fate of such populations crucially depends on the migration rate μ
 between the patches. To classify the possible fates, we use the distinction between polynomial (short) and exponential (long) timescales. We show that when μ is high then one of the two types fixates on the whole population after a number of steps that is only polynomial in N. By contrast, when μ is low then each type holds majority in the patch where it is favoured for a number of steps that is at least exponential in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates those two scenarios, thereby exactly delineating the situations that support long-term coexistence of the two types. We also discuss the case of various cycle graphs and we present computer simulations that perfectly match our analytical results.},
  author       = {Svoboda, Jakub and Tkadlec, Josef and Kaveh, Kamran and Chatterjee, Krishnendu},
  issn         = {1471-2946},
  journal      = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  number       = {2271},
  publisher    = {The Royal Society},
  title        = {{Coexistence times in the Moran process with environmental heterogeneity}},
  doi          = {10.1098/rspa.2022.0685},
  volume       = {479},
  year         = {2023},
}

@unpublished{15039,
  abstract     = {A crucial property for achieving secure, trustworthy and interpretable deep learning systems is their robustness: small changes to a system's inputs should not result in large changes to its outputs. Mathematically, this means one strives for networks with a small Lipschitz constant. Several recent works have focused on how to construct such Lipschitz networks, typically by imposing constraints on the weight matrices. In this work, we study an orthogonal aspect, namely the role of the activation function. We show that commonly used activation functions, such as MaxMin, as well as all piece-wise linear ones with two segments unnecessarily restrict the class of representable functions, even in the simplest one-dimensional setting. We furthermore introduce the new N-activation function that is provably more expressive than currently popular activation functions. We provide code at this https URL.},
  author       = {Prach, Bernd and Lampert, Christoph},
  booktitle    = {arXiv},
  title        = {{1-Lipschitz neural networks are more expressive with N-activations}},
  doi          = {10.48550/ARXIV.2311.06103},
  year         = {2023},
}

@article{13212,
  abstract     = {Auxin is the major plant hormone regulating growth and development (Friml, 2022). Forward genetic approaches in the model plant Arabidopsis thaliana have identified major components of auxin signalling and established the canonical mechanism mediating transcriptional and thus developmental reprogramming. In this textbook view, TRANSPORT INHIBITOR RESPONSE 1 (TIR1)/AUXIN-SIGNALING F-BOX (AFBs) are auxin receptors, which act as F-box subunits determining the substrate specificity of the Skp1-Cullin1-F box protein (SCF) type E3 ubiquitin ligase complex. Auxin acts as a “molecular glue” increasing the affinity between TIR1/AFBs and the Aux/IAA repressors. Subsequently, Aux/IAAs are ubiquitinated and degraded, thus releasing auxin transcription factors from their repression making them free to mediate transcription of auxin response genes (Yu et al., 2022). Nonetheless, accumulating evidence suggests existence of rapid, non-transcriptional responses downstream of TIR1/AFBs such as auxin-induced cytosolic calcium (Ca2+) transients, plasma membrane depolarization and apoplast alkalinisation, all converging on the process of root growth inhibition and root gravitropism (Li et al., 2022). Particularly, these rapid responses are mostly contributed by predominantly cytosolic AFB1, while the long-term growth responses are mediated by mainly nuclear TIR1 and AFB2-AFB5 (Li et al., 2021; Prigge et al., 2020; Serre et al., 2021). How AFB1 conducts auxin-triggered rapid responses and how it is different from TIR1 and AFB2-AFB5 remains elusive. Here, we compare the roles of TIR1 and AFB1 in transcriptional and rapid responses by modulating their subcellular localization in Arabidopsis and by testing their ability to mediate transcriptional responses when part of the minimal auxin circuit reconstituted in yeast.},
  author       = {Chen, Huihuang and Li, Lanxin and Zou, Minxia and Qi, Linlin and Friml, Jiří},
  issn         = {1674-2052},
  journal      = {Molecular Plant},
  number       = {7},
  pages        = {1117--1119},
  publisher    = {Elsevier },
  title        = {{Distinct functions of TIR1 and AFB1 receptors in auxin signalling.}},
  doi          = {10.1016/j.molp.2023.06.007},
  volume       = {16},
  year         = {2023},
}

