@inproceedings{10668,
  abstract     = {Robustness to variations in lighting conditions is a key objective for any deep vision system. To this end, our paper extends the receptive field of convolutional neural networks with two residual components, ubiquitous in the visual processing system of vertebrates: On-center and off-center pathways, with an excitatory center and inhibitory surround; OOCS for short. The On-center pathway is excited by the presence of a light stimulus in its center, but not in its surround, whereas the Off-center pathway is excited by the absence of a light stimulus in its center, but not in its surround. We design OOCS pathways via a difference of Gaussians, with their variance computed analytically from the size of the receptive fields. OOCS pathways complement each other in their response to light stimuli, ensuring this way a strong edge-detection capability, and as a result an accurate and robust inference under challenging lighting conditions. We provide extensive empirical evidence showing that networks supplied with OOCS pathways gain accuracy and illumination-robustness from the novel edge representation, compared to other baselines.},
  author       = {Babaiee, Zahra and Hasani, Ramin and Lechner, Mathias and Rus, Daniela and Grosu, Radu},
  booktitle    = {Proceedings of the 38th International Conference on Machine Learning},
  issn         = {2640-3498},
  location     = {Virtual},
  pages        = {478--489},
  publisher    = {ML Research Press},
  title        = {{On-off center-surround receptive fields for accurate and robust image classification}},
  volume       = {139},
  year         = {2021},
}

@inproceedings{10669,
  abstract     = {We show that Neural ODEs, an emerging class of timecontinuous neural networks, can be verified by solving a set of global-optimization problems. For this purpose, we introduce Stochastic Lagrangian Reachability (SLR), an
abstraction-based technique for constructing a tight Reachtube (an over-approximation of the set of reachable states
over a given time-horizon), and provide stochastic guarantees in the form of confidence intervals for the Reachtube bounds. SLR inherently avoids the infamous wrapping effect (accumulation of over-approximation errors) by performing local optimization steps to expand safe regions instead of repeatedly forward-propagating them as is done by deterministic reachability methods. To enable fast local optimizations, we introduce a novel forward-mode adjoint sensitivity method to compute gradients without the need for backpropagation. Finally, we establish asymptotic and non-asymptotic convergence rates for SLR.},
  author       = {Grunbacher, Sophie and Hasani, Ramin and Lechner, Mathias and Cyranka, Jacek and Smolka, Scott A and Grosu, Radu},
  booktitle    = {Proceedings of the AAAI Conference on Artificial Intelligence},
  isbn         = {978-1-57735-866-4},
  issn         = {2374-3468},
  location     = {Virtual},
  number       = {13},
  pages        = {11525--11535},
  publisher    = {AAAI Press},
  title        = {{On the verification of neural ODEs with stochastic guarantees}},
  volume       = {35},
  year         = {2021},
}

@inproceedings{10670,
  abstract     = {Imitation learning enables high-fidelity, vision-based learning of policies within rich, photorealistic environments. However, such techniques often rely on traditional discrete-time neural models and face difficulties in generalizing to domain shifts by failing to account for the causal relationships between the agent and the environment. In this paper, we propose a theoretical and experimental framework for learning causal representations using continuous-time neural networks, specifically over their discrete-time counterparts. We evaluate our method in the context of visual-control learning of drones over a series of complex tasks, ranging from short- and long-term navigation, to chasing static and dynamic objects through photorealistic environments. Our results demonstrate that causal continuous-time
deep models can perform robust navigation tasks, where advanced recurrent models fail. These models learn complex causal control representations directly from raw visual inputs and scale to solve a variety of tasks using imitation learning.},
  author       = {Vorbach, Charles J and Hasani, Ramin and Amini, Alexander and Lechner, Mathias and Rus, Daniela},
  booktitle    = {35th Conference on Neural Information Processing Systems},
  location     = {Virtual},
  title        = {{Causal navigation by continuous-time neural networks}},
  year         = {2021},
}

@inproceedings{10671,
  abstract     = {We introduce a new class of time-continuous recurrent neural network models. Instead of declaring a learning system’s dynamics by implicit nonlinearities, we construct networks of linear first-order dynamical systems modulated via nonlinear interlinked gates. The resulting models represent dynamical systems with varying (i.e., liquid) time-constants coupled to their hidden state, with outputs being computed by numerical differential equation solvers. These neural networks exhibit stable and bounded behavior, yield superior expressivity within the family of neural ordinary differential equations, and give rise to improved performance on time-series prediction tasks. To demonstrate these properties, we first take a theoretical approach to find bounds over their dynamics, and compute their expressive power by the trajectory length measure in a latent trajectory space. We then conduct a series of time-series prediction experiments to manifest the approximation capability of Liquid Time-Constant Networks (LTCs) compared to classical and modern RNNs.},
  author       = {Hasani, Ramin and Lechner, Mathias and Amini, Alexander and Rus, Daniela and Grosu, Radu},
  booktitle    = {Proceedings of the AAAI Conference on Artificial Intelligence},
  isbn         = {978-1-57735-866-4},
  issn         = {2374-3468},
  location     = {Virtual},
  number       = {9},
  pages        = {7657--7666},
  publisher    = {AAAI Press},
  title        = {{Liquid time-constant networks}},
  volume       = {35},
  year         = {2021},
}

@article{10674,
  abstract     = {In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a non-terminating system and its environment. In bidding games the players bid for the right to move the token: in each round, the players simultaneously submit bids, and the higher bidder moves the token and pays the other player. Bidding games are known to have a clean and elegant mathematical structure that relies on the ability of the players to submit arbitrarily small bids. Many applications, however, require a fixed granularity for the bids, which can represent, for example, the monetary value expressed in cents. We study, for the first time, the combination of discrete-bidding and infinite-duration games. Our most important result proves that these games form a large determined subclass of concurrent games, where determinacy is the strong property that there always exists exactly one player who can guarantee winning the game. In particular, we show that, in contrast to non-discrete bidding games, the mechanism with which tied bids are resolved plays an important role in discrete-bidding games. We study several natural tie-breaking mechanisms and show that, while some do not admit determinacy, most natural mechanisms imply determinacy for every pair of initial budgets.},
  author       = {Aghajohari, Milad and Avni, Guy and Henzinger, Thomas A},
  issn         = {1860-5974},
  journal      = {Logical Methods in Computer Science},
  keywords     = {computer science, computer science and game theory, logic in computer science},
  number       = {1},
  pages        = {10:1--10:23},
  publisher    = {International Federation for Computational Logic},
  title        = {{Determinacy in discrete-bidding infinite-duration games}},
  doi          = {10.23638/LMCS-17(1:10)2021},
  volume       = {17},
  year         = {2021},
}

@inproceedings{10688,
  abstract     = {Civl is a static verifier for concurrent programs designed around the conceptual framework of layered refinement,
which views the task of verifying a program as a sequence of program simplification steps each justified by its own invariant. Civl verifies a layered concurrent program that compactly expresses all the programs in this sequence and the supporting invariants. This paper presents the design and implementation of the Civl verifier.},
  author       = {Kragl, Bernhard and Qadeer, Shaz},
  booktitle    = {Proceedings of the 21st Conference on Formal Methods in Computer-Aided Design},
  editor       = {Ruzica, Piskac and Whalen, Michael W.},
  isbn         = {978-3-85448-046-4},
  location     = {Virtual},
  pages        = {143–152},
  publisher    = {TU Wien Academic Press},
  title        = {{The Civl verifier}},
  doi          = {10.34727/2021/isbn.978-3-85448-046-4_23},
  volume       = {2},
  year         = {2021},
}

@inproceedings{10692,
  abstract     = {We experimentally investigate narrow and topologically nontrivial moiré minibands hosted by van der Waals heterostructures consisting of a graphene monolayer rotationally faulted with respect to a Bernal-stacked bilayer. At fillings ν= 1 and 3 electrons per moiré unit cell within these bands, we observe quantized anomalous Hall effects with Rxy≈h/2e2, indicative of spontaneous polarization of the system into a single valley-projected band with Chern number C= 2. Remarkably, we also observe the evidence of symmetry broken Chern insulator states at ν= 1.5 and 3.5. At ν= 3 we find that the sign of the quantum anomalous Hall effect can be reversed via field-effect control of the chemical potential. This curious effect arises from the magnetization contribution due to topological edge states, which drive a reversal of the total magnetization and thus a switch of the favored magnetic state. Remarkably, we find that this switch is hysteretic, which we use to demonstrate non-volatile electric-field-induced reversal of the magnetic state. Voltage control of magnetic states can be used to electrically pattern nonvolatile magnetic domain structures hosting chiral edge states, with applications ranging from reconfigurable microwave circuit elements to ultra-low-power magnetic memory.},
  author       = {Polshyn, Hryhoriy and Zhu, Jihang and Kumar, Manish and Zhang, Yuxuan and Yang, Fangyuan and Tschirhart, Charles and Serlin, Marec and Watanabe, Kenji and Tanaguchi, Takashi and MacDonald, Allan and Young, Andrea},
  booktitle    = {APS March Meeting 2021},
  issn         = {0003-0503},
  location     = {Virtual},
  number       = {1},
  publisher    = {American Physical Society},
  title        = {{Orbital Chern insulator states in twisted monolayer-bilayer graphene and electrical switching of topological and magnetic order}},
  volume       = {66},
  year         = {2021},
}

@inproceedings{10694,
  abstract     = {In a two-player zero-sum graph game the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. Traditionally, the players alternate turns in moving the token. In bidding games, however, the players have budgets, and in each turn, we hold an “auction” (bidding) to determine which player moves the token: both players simultaneously submit bids and the higher bidder moves the token. The bidding mechanisms differ in their payment schemes. Bidding games were largely studied with variants of first-price bidding in which only the higher bidder pays his bid. We focus on all-pay bidding, where both players pay their bids. Finite-duration all-pay bidding games were studied and shown to be technically more challenging than their first-price counterparts. We study for the first time, infinite-duration all-pay bidding games. Our most interesting results are for mean-payoff objectives: we portray a complete picture for games played on strongly-connected graphs. We study both pure (deterministic) and mixed (probabilistic) strategies and completely characterize the optimal and almost-sure (with probability 1) payoffs the players can respectively guarantee. We show that mean-payoff games under all-pay bidding exhibit the intriguing mathematical properties of their first-price counterparts; namely, an equivalence with random-turn games in which in each turn, the player who moves is selected according to a (biased) coin toss. The equivalences for all-pay bidding are more intricate and unexpected than for first-price bidding.},
  author       = {Avni, Guy and Jecker, Ismael R and Zikelic, Dorde},
  booktitle    = {Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms},
  editor       = {Marx, Dániel},
  isbn         = {978-1-61197-646-5},
  location     = {Virtual},
  pages        = {617--636},
  publisher    = {Society for Industrial and Applied Mathematics},
  title        = {{Infinite-duration all-pay bidding games}},
  doi          = {10.1137/1.9781611976465.38},
  year         = {2021},
}

@article{10711,
  abstract     = {In this paper, we investigate the distribution of the maximum of partial sums of families of  m -periodic complex-valued functions satisfying certain conditions. We obtain precise uniform estimates for the distribution function of this maximum in a near-optimal range. Our results apply to partial sums of Kloosterman sums and other families of  ℓ -adic trace functions, and are as strong as those obtained by Bober, Goldmakher, Granville and Koukoulopoulos for character sums. In particular, we improve on the recent work of the third author for Birch sums. However, unlike character sums, we are able to construct families of  m -periodic complex-valued functions which satisfy our conditions, but for which the Pólya–Vinogradov inequality is sharp.},
  author       = {Autissier, Pascal and Bonolis, Dante and Lamzouri, Youness},
  issn         = {1570-5846},
  journal      = {Compositio Mathematica},
  keywords     = {Algebra and Number Theory},
  number       = {7},
  pages        = {1610--1651},
  publisher    = {Cambridge University Press},
  title        = {{The distribution of the maximum of partial sums of Kloosterman sums and other trace functions}},
  doi          = {10.1112/s0010437x21007351},
  volume       = {157},
  year         = {2021},
}

@article{10738,
  abstract     = {We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2.},
  author       = {Leopold, Nikolai K and Rademacher, Simone Anna Elvira and Schlein, Benjamin and Seiringer, Robert},
  issn         = {1948-206X},
  journal      = {Analysis and PDE},
  number       = {7},
  pages        = {2079--2100},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{ The Landau–Pekar equations: Adiabatic theorem and accuracy}},
  doi          = {10.2140/APDE.2021.14.2079},
  volume       = {14},
  year         = {2021},
}

@unpublished{10762,
  abstract     = {Methods inspired from machine learning have recently attracted great interest in the computational study of quantum many-particle systems. So far, however, it has proven challenging to deal with microscopic models in which the total number of particles is not conserved. To address this issue, we propose a new variant of neural network states, which we term neural coherent states. Taking the Fröhlich impurity model as a case study, we show that neural coherent states can learn the ground state of non-additive systems very well. In particular, we observe substantial improvement over the standard coherent state estimates in the most challenging intermediate coupling regime. Our approach is generic and does not assume specific details of the system, suggesting wide applications.},
  author       = {Rzadkowski, Wojciech and Lemeshko, Mikhail and Mentink, Johan H.},
  booktitle    = {arXiv},
  pages        = {2105.15193},
  title        = {{Artificial neural network states for non-additive systems}},
  doi          = {10.48550/arXiv.2105.15193},
  year         = {2021},
}

@unpublished{10803,
  abstract     = {Given the abundance of applications of ranking in recent years, addressing fairness concerns around automated ranking systems becomes necessary for increasing the trust among end-users. Previous work on fair ranking has mostly focused on application-specific fairness notions, often tailored to online advertising, and it rarely considers learning as part of the process. In this work, we show how to transfer numerous fairness notions from binary classification to a learning to rank setting. Our formalism allows us to design methods for incorporating fairness objectives with provable generalization guarantees. An extensive experimental evaluation shows that our method can improve ranking fairness substantially with no or only little loss of model quality.},
  author       = {Konstantinov, Nikola H and Lampert, Christoph},
  booktitle    = {arXiv},
  title        = {{Fairness through regularization for learning to rank}},
  doi          = {10.48550/arXiv.2102.05996},
  year         = {2021},
}

@article{10806,
  abstract     = {Ligands are a fundamental part of nanocrystals. They control and direct nanocrystal syntheses and provide colloidal stability. Bound ligands also affect the nanocrystals’ chemical reactivity and electronic structure. Surface chemistry is thus crucial to understand nanocrystal properties and functionality. Here, we investigate the synthesis of metal oxide nanocrystals (CeO2-x, ZnO, and NiO) from metal nitrate precursors, in the presence of oleylamine ligands. Surprisingly, the nanocrystals are capped exclusively with a fatty acid instead of oleylamine. Analysis of the reaction mixtures with nuclear magnetic resonance spectroscopy revealed several reaction byproducts and intermediates that are common to the decomposition of Ce, Zn, Ni, and Zr nitrate precursors. Our evidence supports the oxidation of alkylamine and formation of a carboxylic acid, thus unraveling this counterintuitive surface chemistry.},
  author       = {Calcabrini, Mariano and Van den Eynden, Dietger and Sanchez Ribot, Sergi and Pokratath, Rohan and Llorca, Jordi and De Roo, Jonathan and Ibáñez, Maria},
  issn         = {2691-3704},
  journal      = {JACS Au},
  keywords     = {general medicine},
  number       = {11},
  pages        = {1898--1903},
  publisher    = {American Chemical Society},
  title        = {{Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate}},
  doi          = {10.1021/jacsau.1c00349},
  volume       = {1},
  year         = {2021},
}

@article{10809,
  abstract     = {Thermoelectric materials are engines that convert heat into an electrical current. Intuitively, the efficiency of this process depends on how many electrons (charge carriers) can move and how easily they do so, how much energy those moving electrons transport, and how easily the temperature gradient is maintained. In terms of material properties, an excellent thermoelectric material requires a high electrical conductivity σ, a high Seebeck coefficient S (a measure of the induced thermoelectric voltage as a function of temperature gradient), and a low thermal conductivity κ. The challenge is that these three properties are strongly interrelated in a conflicting manner (1). On page 722 of this issue, Roychowdhury et al. (2) have found a way to partially break these ties in silver antimony telluride (AgSbTe2) with the addition of cadmium (Cd) cations, which increase the ordering in this inherently disordered thermoelectric material.},
  author       = {Liu, Yu and Ibáñez, Maria},
  issn         = {1095-9203},
  journal      = {Science},
  keywords     = {multidisciplinary},
  number       = {6530},
  pages        = {678--679},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Tidying up the mess}},
  doi          = {10.1126/science.abg0886},
  volume       = {371},
  year         = {2021},
}

@article{17384,
  abstract     = {Basket weaving is a traditional craft for creating curved surfaces as an interwoven array of thin, flexible, and initially straight ribbons. The three-dimensional shape of a woven structure emerges through a complex interplay of the elastic bending behavior of the ribbons and the contact forces at their crossings. Curvature can be injected by carefully placing topological singularities in the otherwise regular weaving pattern. However, shape control through topology is highly non-trivial and inherently discrete, which severely limits the range of attainable woven geometries. Here, we demonstrate how to construct arbitrary smooth free-form surface geometries by weaving carefully optimized curved ribbons. We present an optimization-based approach to solving the inverse design problem for such woven structures. Our algorithm computes the ribbons' planar geometry such that their interwoven assembly closely approximates a given target design surface in equilibrium. We systematically validate our approach through a series of physical prototypes to show a broad range of new woven geometries that is not achievable by existing methods. We anticipate our computational approach to significantly enhance the capabilities for the design of new woven structures. Facilitated by modern digital fabrication technology, we see potential applications in material science, bio- and mechanical engineering, art, design, and architecture.},
  author       = {Ren, Yingying and Panetta, Julian and Chen, Tian and Isvoranu, Florin and Poincloux, Samuel and Brandt, Christopher and Martin, Alison and Pauly, Mark},
  issn         = {1557-7368},
  journal      = {ACM Transactions on Graphics},
  number       = {4},
  pages        = {1--15},
  publisher    = {Association for Computing Machinery},
  title        = {{3D weaving with curved ribbons}},
  doi          = {10.1145/3450626.3459788},
  volume       = {40},
  year         = {2021},
}

@article{17422,
  abstract     = {Inspired by motion patterns of some commercially available mobile robots, we investigate the power of robots that move forward in straight lines until colliding with an environment boundary, at which point they can rotate in place and move forward again; we visualize this as the robot “bouncing” off boundaries. We define bounce rules governing how the robot should reorient after reaching a boundary, such as reorienting relative to its heading prior to collision, or relative to the normal of the boundary. We then generate plans as sequences of rules, using the bounce visibility graph generated from a polygonal environment definition, while assuming we have unavoidable non-determinism in our actuation. Our planner can be queried to determine the feasibility of tasks such as reaching goal sets and patrolling (repeatedly visiting a sequence of goals). If the task is found feasible, the planner provides a sequence of non-deterministic interaction rules, which also provide information on how precisely the robot must execute the plan to succeed. We also show how to compute stable cyclic trajectories and use these to limit uncertainty in the robot’s position. </jats:p>},
  author       = {Nilles, Alexandra Q and Ren, Yingying and Becerra, Israel and LaValle, Steven M},
  issn         = {1741-3176},
  journal      = {The International Journal of Robotics Research},
  number       = {10-11},
  pages        = {1196--1211},
  publisher    = {SAGE Publications},
  title        = {{A visibility-based approach to computing non-deterministic bouncing strategies}},
  doi          = {10.1177/0278364921992788},
  volume       = {40},
  year         = {2021},
}

@inproceedings{17505,
  abstract     = {Given the central role that C continues to play in systems software, and the difficulty of writing safe and correct C code, it remains a grand challenge to develop effective formal methods for verifying C programs. In this paper, we propose a new approach to this problem: a type system we call RefinedC, which combines ownership types (for modular reasoning about shared state and concurrency) with refinement types (for encoding precise invariants on C data types and Hoare-style specifications for C functions).
RefinedC is both automated (requiring minimal user intervention) and foundational (producing a proof of program correctness in Coq), while at the same time handling a range of low-level programming idioms such as pointer arithmetic. In particular, following the approach of RustBelt, the soundness of the RefinedC type system is justified semantically by interpretation into the Coq-based Iris framework for higher-order concurrent separation logic. However, the typing rules of RefinedC are also designed to be encodable in a new “separation logic programming” language we call Lithium. By restricting to a carefully chosen (yet expressive) fragment of separation logic, Lithium supports predictable, automatic, goal-directed proof search without backtracking. We demonstrate the effectiveness of RefinedC on a range of representative examples of C code.},
  author       = {Sammler, Michael Joachim and Lepigre, Rodolphe and Krebbers, Robbert and Memarian, Kayvan and Dreyer, Derek and Garg, Deepak},
  booktitle    = {Proceedings of the 42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation},
  location     = {virtual},
  pages        = {158--174},
  publisher    = {Association for Computing Machinery},
  title        = {{RefinedC: Automating the foundational verification of C code with refined ownership types}},
  doi          = {10.1145/3453483.3454036},
  year         = {2021},
}

@article{17508,
  abstract     = {This paper presents the ESA Voyage 2050 White Paper for a concept of TeraHertz Exploration and Zooming-in for Astrophysics (THEZA). It addresses the science case and some implementation issues of a space-borne radio interferometric system for ultra-sharp imaging of celestial radio sources at the level of angular resolution down to (sub-) microarcseconds. THEZA focuses at millimetre and sub-millimetre wavelengths (frequencies above 
300 GHz), but allows for science operations at longer wavelengths too. The THEZA concept science rationale is focused on the physics of spacetime in the vicinity of supermassive black holes as the leading science driver. The main aim of the concept is to facilitate a major leap by providing researchers with orders of magnitude improvements in the resolution and dynamic range in direct imaging studies of the most exotic objects in the Universe, black holes. The concept will open up a sizeable range of hitherto unreachable parameters of observational astrophysics. It unifies two major lines of development of space-borne radio astronomy of the past decades: Space VLBI (Very Long Baseline Interferometry) and mm- and sub-mm astrophysical studies with “single dish” instruments. It also builds upon the recent success of the Earth-based Event Horizon Telescope (EHT) – the first-ever direct image of a shadow of the super-massive black hole in the centre of the galaxy M87. As an amalgam of these three major areas of modern observational astrophysics, THEZA aims at facilitating a breakthrough in high-resolution high image quality studies in the millimetre and sub-millimetre domain of the electromagnetic spectrum.},
  author       = {Gurvits, Leonid I. and Paragi, Zsolt and Casasola, Viviana and Conway, John and Davelaar, Jordy and Falcke, Heino and Fender, Rob and Frey, Sándor and Fromm, Christian M. and Miró, Cristina García and Garrett, Michael A. and Giroletti, Marcello and Goddi, Ciriaco and Gómez, José-Luis and van der Gucht, Jeffrey and Guirado, José Carlos and Haiman, Zoltán and Helmich, Frank and Humphreys, Elizabeth and Impellizzeri, Violette and Kramer, Michael and Lindqvist, Michael and Linz, Hendrik and Liuzzo, Elisabetta and Lobanov, Andrei P. and Mizuno, Yosuke and Rezzolla, Luciano and Roelofs, Freek and Ros, Eduardo and Rygl, Kazi L.J. and Savolainen, Tuomas and Schuster, Karl and Venturi, Tiziana and Wiedner, Martina C. and Zensus, J. Anton},
  issn         = {0922-6435},
  journal      = {Experimental Astronomy},
  number       = {3},
  pages        = {559--594},
  publisher    = {Springer Science and Business Media LLC},
  title        = {{THEZA: TeraHertz exploration and zooming-in for astrophysics}},
  doi          = {10.1007/s10686-021-09714-y},
  volume       = {51},
  year         = {2021},
}

@article{17509,
  abstract     = {The recently discovered gravitational wave sources GW190521 and GW190814 have shown evidence of BH mergers with masses and spins outside of the range expected from isolated stellar evolution. These merging objects could have undergone previous mergers. Such hierarchical mergers are predicted to be frequent in active galactic nuclei (AGNs) disks, where binaries form and evolve efficiently by dynamical interactions and gaseous dissipation. Here we compare the properties of these observed events to the theoretical models of mergers in AGN disks, which are obtained by performing one-dimensional N-body simulations combined with semi-analytical prescriptions. The high BH masses in GW190521 are consistent with mergers of high-generation (high-g) BHs where the initial progenitor stars had high metallicity, 2g BHs if the original progenitors were metal-poor, or 1g BHs that had gained mass via super-Eddington accretion. Other measured properties related to spin parameters in GW190521 are also consistent with mergers in AGN disks. Furthermore, mergers in the lower mass gap or those with low mass ratio as found in GW190814 and GW190412 are also reproduced by mergers of 2g–1g or 1g–1g objects with significant accretion in AGN disks. Finally, due to gas accretion, the massive neutron star merger reported in GW190425 can be produced in an AGN disk.},
  author       = {Tagawa, Hiromichi and Kocsis, Bence and Haiman, Zoltán and Bartos, Imre and Omukai, Kazuyuki and Samsing, Johan},
  issn         = {0004-637X},
  journal      = {The Astrophysical Journal},
  number       = {2},
  publisher    = {American Astronomical Society},
  title        = {{Mass-gap mergers in active galactic nuclei}},
  doi          = {10.3847/1538-4357/abd555},
  volume       = {908},
  year         = {2021},
}

@article{17515,
  abstract     = {The disks of active galactic nuclei (AGNs) have emerged as a rich environment for the evolution of stars and their compact remnants. The very dense medium favors rapid accretion, while torques and migration traps enhance binary formation and mergers. Both long and short gamma-ray bursts are hence expected. We show that AGN disks constitute an ideal environment for another interesting phenomenon: the accretion-induced collapse (AIC) of neutron stars (NSs) to black holes (BHs). Rapid accretion in the dense disks can cause NSs to grow to the point of exceeding the maximum mass allowed by their equation of state. General relativistic magnetohydrodynamical simulations have shown that electromagnetic signatures are expected if the NS is surrounded by a minidisk prior to collapse, which then rapidly accretes onto the BH, and/or if the NS is highly magnetized, from reconnection of the magnetosphere during collapse. Here we compute the rates of AICs and their locations within the disks for both isolated NSs and for (initially stable) NSs formed from NS-NS mergers. We find that the global AIC rates are ∼0.07–20 Gpc−3 yr−1, and we discuss their observable prospects and signatures as they emerge from the dense disk environments.},
  author       = {Perna, Rosalba and Tagawa, Hiromichi and Haiman, Zoltán and Bartos, Imre},
  issn         = {0004-637X},
  journal      = {The Astrophysical Journal},
  number       = {1},
  publisher    = {American Astronomical Society},
  title        = {{Accretion-induced collapse of neutron stars in the disks of active galactic nuclei}},
  doi          = {10.3847/1538-4357/abfdb4},
  volume       = {915},
  year         = {2021},
}

