@article{19860,
  abstract     = {An eight-partition of a finite set of points (respectively, of a continuous mass distribution) in R^3
 consists of three planes that divide the space into 8 octants, such that each open octant contains at most 1/8 of the points (respectively, of the mass). In 1966, Hadwiger showed that any mass distribution in R^3 admits an eight-partition; moreover, one can prescribe the normal direction of one of the three planes. The analogous result for finite point sets follows by a standard limit argument. We prove the following variant of this result: any mass distribution (or point set) in R^3 admits an eight-partition for which the intersection of two of the planes is a line with a prescribed direction. Moreover, we present an efficient algorithm for calculating an eight-partition of a set of n points in R^3 (with prescribed normal direction of one of the planes) in time O(n^7/3). A preliminary version of this work appeared in SoCG’24 (Aronov et al., 40th International Symposium on Computational Geometry, 2024).},
  author       = {Aronov, Boris and Basit, Abdul and Ramesh, Indu and Tasinato, Gianluca and Wagner, Uli},
  issn         = {1432-0444},
  journal      = {Discrete & Computational Geometry},
  pages        = {1331--1355},
  publisher    = {Springer Nature},
  title        = {{Eight-partitioning points in 3D, and efficiently too}},
  doi          = {10.1007/s00454-025-00739-0},
  volume       = {75},
  year         = {2026},
}

@article{21763,
  abstract     = {Reactive oxygen species (ROS) have been implicated in multiple signaling processes in plants, but the underlying mechanisms and roles remain enigmatic. In this study, we developed a method of live imaging of apoplastic ROS at the root surface. Distinct signals, including auxin, extracellular adenosine triphosphate, and rapid alkalinization factor 1 peptide, induce cytosolic calcium transients and apoplastic ROS bursts. Genetic and optogenetic manipulations of Arabidopsis identified calcium transients as necessary and sufficient for ROS bursts through activation of reduced nicotinamide adenine dinucleotide phosphate (NADPH) oxidases RBOHC and RBOHF. Apoplastic ROS bursts are not required, but they do limit gravity-induced root bending. Root bending is sensed by the stretch-activated calcium channel MCA1, leading to NADPH oxidase activation. The resulting ROS production stiffens cell walls to facilitate soil penetration. Apoplastic ROS thus provides a means to balance tissue flexibility and stiffness to navigate soil.},
  author       = {Kulich, Ivan and Vladimirtsev, Dmitrii and Randuch, Marek and Gao, Shiqiang and Citterico, Matteo and Konrad, Kai R. and Nagel, Georg and Wrzaczek, Michael and Cascaro, Léa and Vinet, Pauline and Durand, Pauline and Asnacios, Atef and Verma, Lokesh and Bennett, Malcolm J. and Pandey, Bipin K. and Friml, Jiří},
  issn         = {1095-9203},
  journal      = {Science},
  number       = {6795},
  pages        = {296--300},
  publisher    = {AAAS},
  title        = {{Calcium-triggered apoplastic ROS bursts balance gravity and mechanical signals for soil navigation}},
  doi          = {10.1126/science.adu8197},
  volume       = {392},
  year         = {2026},
}

@phdthesis{23145,
  author       = {Randuch, Marek},
  issn         = {2663-337X},
  pages        = {289},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Fast growth responses in plants: Growth regulation and phospho-proteomic }},
  doi          = {10.15479/AT-ISTA-23145},
  year         = {2026},
}

@unpublished{23175,
  abstract     = {Plants must continually balance growth with arrest, especially under stress. Auxin signaling acts as a central regulatory hub in this process, yet the mechanisms that dynamically tune early auxin signalling in real time remain unknown. Here, we used the light-gated, Ca2+-permeable Channelrhodopsin 2 variant XXM2.0 to optogenetically impose defined Ca2+ signatures on Arabidopsis root cells. Repetitive light activation triggered cytosolic Ca2+ signals that in turn suppressed auxin-induced membrane depolarization and Ca2+ transients. Moreover, prolonged optogenetic Ca2+ stimulation affects auxin-responsive transcriptional reprogramming. As phenotypic output, reversible inhibition of root growth by suppressing cell division and elongation was observed. We further identify a candidate CaM7–CNGC14 module that likely mediates Ca2+-dependent gating of early auxin signalling. Our study thus introduces a synthetic biology approach to decompose calcium–auxin crosstalk in plant cells, and demonstrates that optogenetically imposed cytosolic Ca2+ signals act as dynamic regulators of auxin susceptibility in roots.},
  author       = {Song, Huifang and Baudon, Angel and Freund, Matthias and Randuch, Marek and Pěnčík, Aleš and Ondřej, Novák and He, Zhaohui and Kaufmann, Kerstin and Li, Nan and Gilliham, Matthew and Friml, Jiří and Hedrich, Rainer and Huang, Shouguang},
  booktitle    = {bioRxiv},
  title        = {{Ca2+ signature gates early auxin signaling in Arabidopsis roots}},
  doi          = {10.1101/2025.10.04.680446},
  year         = {2026},
}

@inproceedings{23197,
  abstract     = {We develop a quantum theory of light-matter interactions in 229Th nanophotonic resonators pumped via the optonuclear quadrupolar effect, predicting detectable photon fluxes with realistic platforms and revealing how collective dynamics shape the future nuclear clock performance.},
  author       = {Mamian, Karen and De Haan, Jan and Bi, Toby and Dubey, Swadheen and Kazakov, Georgy A. and Beeks, Kjeld and Marquardt, Christoph and Kraemer, Sandro and Pereira, Lino M.C. and Del’Haye, Pascal and Van Gasse, Kasper and Schumm, Thorsten and Roques-Carmes, Charles},
  booktitle    = {CLEO Fundamental Science Proceedings},
  isbn         = {9781957171586},
  location     = {Long Beach, CA, United States},
  publisher    = {Optica Publishing Group},
  title        = {{Collective optonuclear cavity quantum electrodynamics in 229Th nanophotonic resonators}},
  doi          = {10.1364/CLEO_FS.2026.FTU1B.4},
  year         = {2026},
}

@article{21983,
  abstract     = {Promoters and enhancers are cis-regulatory elements (CREs), DNA sequences that bind transcription factor (TF) proteins to up- or down-regulate target genes. Decades-long efforts yielded TF-DNA interaction models that predict how strongly an individual TF binds arbitrary DNA sequences and how individual binding events on the CRE combine to affect gene expression. These insights can be synthesized into a global, biophysically realistic, and quantitative genotype–phenotype map for gene regulation, a ‘holy grail’ for the application of evolutionary theory. A global map provides a rare opportunity to simulate the long-term evolution of regulatory sequences and pose several fundamental questions: How long does it take to evolve CREs de novo? How many non-trivial regulatory functions exist in sequence space? How connected are they? For which regulatory architecture is CRE evolution most rapid and evolvable? In this article, the first of a two-part series, we briefly review the pertinent modeling and simulation efforts for a unique system that enables close, quantitative, and mechanistic links between biophysics, as well as systems, synthetic, and evolutionary biology.},
  author       = {Mascolo, Elia and Körei, Reka E and Herrera-Álvarez, Santiago and Guet, Calin C and Crocker, Justin and Tkačik, Gašper},
  issn         = {1879-0380},
  journal      = {Current Opinion in Genetics & Development},
  publisher    = {Elsevier},
  title        = {{Long-term evolution of regulatory DNA sequences. Part 1: Simulations on global, biophysically-realistic genotype–phenotype maps}},
  doi          = {10.1016/j.gde.2026.102483},
  volume       = {99},
  year         = {2026},
}

@article{23198,
  abstract     = {Small RNAs (sRNAs) are widespread across diverse flowering plant species and play important roles regulating reproduction and environmental responses. However, how sRNAs exert their function is largely unknown, likely due to their typical origin in non-genic regions, the lack of distinct gene targets, and the sparse characterization of their associated Argonaute (AGO) effector proteins. Here we show that Arabidopsis male reproductive sRNAs associate with AGO4, 5, 6 and 9, all of which are enriched in meiocytes along with RNA Polymerase V (Pol V). This enables these sRNAs to methylate loci with imperfect sequence homology. AGO4, AGO6 and AGO9 predominantly load 24-nucleotide (nt) Pol IV-derived sRNAs and mediate DNA methylation in meiocytes in a dosage-dependent manner. Despite closer homology to microRNA-associated AGO1 and AGO10, AGO5 primarily binds CLSY3- and Pol IV-derived 21-24 nt sRNAs. Transcriptomic and methylomic analyses of meiocytes from single and compound ago mutants demonstrate distinct yet complementary roles of AGO4/6/9 and AGO5 in regulating protein-coding genes and silencing transposons in the germline. These molecular disruptions are accompanied by significant meiotic defects. Together, our findings reveal how AGO4/6/9-mediated DNA methylation and AGO5, likely acting through post-transcriptional gene silencing, work together to promote male germline development.},
  author       = {Long, Jincheng and Yang, Chao and Xu, Shujuan and De Jaeger-Braet, Joke G and She, Wenjing and Ono, Seijiro and Walker, James and de Souza Vieira, Ygor and Schnittger, Arp and Feng, Xiaoqi},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Multiple Argonaute complexes orchestrate epigenetic silencing in the Arabidopsis germline}},
  doi          = {10.1038/s41467-026-77326-1},
  volume       = {17},
  year         = {2026},
}

@article{23200,
  abstract     = {We investigate the low-ionization electron density in the interstellar medium (ISM) of galaxies across 0 < z < 8,
derived with the [O II] λλ3727, 3730 and [S II] λλ6718, 6733 doublets, using both deep JWST/NIRCam/grism
and NIRSpec/MSA spectroscopy. Along with ancillary density samples from the literature at 0 < z < 6, we
assemble three samples containing a total of 703 galaxies spanning 3.7 < z < 7.8 at 〈z〉 ∼ 5.6; 691 galaxies in the
luminosity-complete NIRCam/grism programs CONGRESS and FRESCO at 〈z〉 ∼ 4.3 and ∼5.3, respectively;
and 12 galaxies with high-resolution NIRSpec/MSA spectra from the GO 1871 and GLASS programs. We find
median electron densities of ne[S II] = + 463 203 cm 281 3
for CONGRESS, ne[S II] = + 301 206 cm 388 3
for FRESCO, and
ne[O II] = + 202 102 cm 145 3
for the NIRSpec/MSA sample. The median low-ionization ne increases from z = 0 to 4,
in agreement with previous studies and those using JWST observations. However, beyond z ∼ 4 median ne begins
to deviate from a monotonically increasing evolution with z. We find a positive, but shallow, correlation between
O32 (a proxy for the ionization parameter) and ne, while also confirming a positive correlation between O32 and z.
We suggest that these trends are possibly due to an evolving ISM gas density and ionization structure, and
propose a toy model where the gas clumping evolves with z to explain the observed density and ionization
variations.},
  author       = {Stephenson, Mabel G. and Chisholm, John and Saldana-Lopez, A. and Matthee, Jorryt J and Henry, Alaina and Naidu, Rohan P. and Flury, Sophia R. and Hutchison, Taylor A. and Finkelstein, Steven L. and Guseva, Natalia G. and Izotov, Yuri I. and Marques-Chaves, Rui and Oesch, Pascal A. and Reddy, Naveen A. and Schaerer, Daniel},
  issn         = {1538-4357},
  journal      = {The Astrophysical Journal},
  number       = {2},
  publisher    = {IOP Publishing},
  title        = {{The evolution of low-ionization electron densities in galaxies across cosmic epochs}},
  doi          = {10.3847/1538-4357/ae9eb7},
  volume       = {1010},
  year         = {2026},
}

@article{23199,
  abstract     = {The physics governing the morphology of radio-loud active galactic nucleus (AGN) jets is not fully understood. We investigate how magnetization, flickering jet power and the interplay between them affects the morphology of radio galaxies. We present a grid of relativistic magnetohydrodynamic simulations using the pluto code covering constant and variable jets with two levels of magnetization. We find that the constant high-magnetization jets can lead to highly asymmetrical cocoon morphologies, while the variable high-magnetization jet can exhibit a broken morphology, caused by a discontinuous jet beam. Our work highlights the importance of magnetization and variability on the stability and resulting morphology of radio-loud AGN jets, suggesting both are significant factors in addition to jet power or environment. Furthermore, we show that the interaction between magnetization and variability can lead to the development of localized kink instabilities along the jet beam. Finally, we discuss the effects of hydrodynamic mixing in low-magnetization jets and the role of viewing-angle dependence in comparisons between our simulations and observed sources. To facilitate this comparison we present a library of simulated radio images at different times in the simulations and from various viewing angles, which highlight a diverse set of complex morphologies.},
  author       = {Elley, Emma L and Matthews, James H and Whitehead, Henry William and Cooper, Alex J},
  issn         = {1365-2966},
  journal      = {Monthly Notices of the Royal Astronomical Society},
  number       = {4},
  publisher    = {Oxford University Press},
  title        = {{The impact of flickering variability and magnetization on the dynamics, stability, and morphology of radio-loud AGN jets}},
  doi          = {10.1093/mnras/stag1798},
  volume       = {552},
  year         = {2026},
}

@inproceedings{23196,
  abstract     = {We introduce an experimental realization of the measurement, processing, and generation of partially coherent light on a photonic chip. This device relies on self-configuring networks optimized sequentially to learn the coherency matrix of input light.},
  author       = {Mor, Paul Alexis and Kroo, Annie R. and Valdez, Carson G. and Šimić, Marko and Karnieli, Aviv and Cavicchioli, Gabriele and Sun, Zhanghao and Grimaldi, Vittorio and Fan, Shanhui and Solgaard, Olav and Miller, David A.B. and Roques-Carmes, Charles},
  booktitle    = {CLEO Science and Innovations Proceedings},
  isbn         = {9781957171586},
  location     = {Long Beach, CA, United States},
  publisher    = {Optica Publishing Group},
  title        = {{Variational processing of partially coherent light in a photonic integrated circuit}},
  doi          = {10.1364/CLEO_SI.2026.STU2F.1},
  year         = {2026},
}

@article{18706,
  abstract     = {We prove discrete-to-continuum convergence for dynamical optimal transport on  Zd
 -periodic graphs with cost functional having linear growth at infinity. This result provides an answer to a problem left open by Gladbach, Kopfer, Maas, and Portinale (Calc Var Partial Differential Equations 62(5), 2023), where the convergence behaviour of discrete boundary-value dynamical transport problems is proved under the stronger assumption of superlinear growth. Our result extends the known literature to some important classes of examples, such as scaling limits of  1 -Wasserstein transport problems. Similarly to what happens in the quadratic case, the geometry of the graph plays a crucial role in the structure of the limit cost function, as we discuss in the final part of this work, which includes some visual representations.},
  author       = {Portinale, Lorenzo and Quattrocchi, Filippo},
  issn         = {1469-4425},
  journal      = {European Journal of Applied Mathematics},
  keywords     = {optimal transport, discrete-to-continuum, homogenisation, linear growth, gamma-convergence},
  number       = {3},
  pages        = {614--642},
  publisher    = {Cambridge University Press},
  title        = {{Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs}},
  doi          = {10.1017/s0956792524000810},
  volume       = {37},
  year         = {2026},
}

@phdthesis{21423,
  abstract     = {Biological systems, such as cytoskeletal filaments and multicellular collectives, exhibit rich 
self-organization driven by their intrinsic activity and physical constraints. Across scales, 
geometry plays a central role: the shape of active units and the structure of their environment 
strongly influence how order emerges in these far-from-equilibrium systems. In this thesis, 
we combine minimal active-matter models with bottom-up in vitro experiments to identify 
the principles by which geometry and activity shape collective behavior in biological matter. 
At the subcellular scale, we investigate how the physical properties of chiral FtsZ filaments 
govern their large-scale organization. Using a mesoscopic model validated by reconstituted 
filament assays, we show that filament shape, intrinsic curvature, and flexibility, together with 
activity-driven straightening, determine whether filaments form chiral rings, polar bands, or 
nematic-like states. Our model shows that small changes in filament mechanics produce large 
shifts in collective structures, revealing how the geometry of individual filaments amplifies 
through activity to control patterns relevant for bacterial cytokinesis. 
At the cellular scale, we examine how geometry of the external environment influences 
collective cancer cell migration. Experiments in controlled microfabricated obstacle 
environments demonstrate that geometric disorder alone can induce a transition from 
collective to single-cell invasion. A minimal model of active particles in disordered geometries 
reproduces these effects, demonstrating that cell dissemination results both from local 
geometrical constraints and a global integration of spatial disorder over time. Surprisingly, 
this transition is accompanied by a change in the universality class of interface dynamics, 
revealing that cell-environment interactions can shift the collective behavior of an invasive 
front purely through mechanics.  
In the last system, we study how cell-intrinsic geometry and chirality affect collective motion 
in confined and unconfined settings. Using a minimal model inspired by in vitro experiments, 
we analyze motile cells that exhibit persistent rotation due to intrinsic left-right asymmetry. 
In circular confinement, this simplified chiral model reproduces several experimentally 
observed features within specific parameter regimes. At high densities in unconfined 
environments, however, intrinsic chirality becomes masked even before the onset of the 
jamming transition. These results show that single-cell geometric asymmetry does not 
necessarily translate into large-scale chiral flows, offering new insight into how forces and 
symmetries shape collective motion in dense cellular systems. 
Overall, this work uncovers how geometric constraints – embedded in the intrinsic 
architecture of an active filament or encoded in the complexity of a microenvironment 
couple to active forces to generate different classes of complex behaviors. },
  author       = {Dunajova, Zuzana},
  isbn         = {978-3-99078-076-3},
  issn         = {2663-337X},
  pages        = {110},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Geometry-driven self-organization of migrating cells and chiral filaments}},
  doi          = {10.15479/AT-ISTA-21423},
  year         = {2026},
}

@misc{21439,
  abstract     = {These files contain supplementary movies accompanying the PhD thesis “Geometry-driven self-organization of migrating cells and chiral filaments” by Zuzana Dunajova (2026). The videos provide additional visual material supporting the experiments and results described in the thesis.},
  author       = {Dunajova, Zuzana},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Supplementary movies to PhD thesis “Geometry-driven self-organization of migrating cells and chiral filaments”}},
  doi          = {10.15479/AT-ISTA-21439},
  year         = {2026},
}

@inproceedings{22007,
  abstract     = {Truncation of cryptographic outputs is a technique that was recently introduced in Baldimtsi et al. [Foteini Baldimtsi et al., 2022]. The general idea is to try out many inputs to some cryptographic algorithm until the output (e.g. a public-key or some hash value) falls into some sparse set and thus can be compressed: by trying out an expected 2^k different inputs one will find an output that starts with k zeros.
Using such truncation one can for example save substantial gas fees on Blockchains where storing values is very expensive. While [Foteini Baldimtsi et al., 2022] show that truncation preserves the security of the underlying primitive, they only consider a setting without preprocessing. In this work we show that lower bounds on the time-space tradeoff for inverting random functions and permutations also hold with truncation, except for parameters ranges where the bound fails to hold for "trivial" reasons.
Concretely, it’s known that any algorithm that inverts a random function or permutation with range N making T queries and using S bits of auxiliary input must satisfy S⋅ T ≥ Nlog N. This lower bound no longer holds in the truncated setting where one must only invert a challenge from a range of size N/2^k, as now one can simply save the replies to all N/2^k challenges, which requires S = log N⋅ N /2^k bits and allows to invert with T = 1 query.
We show that with truncation, whenever S is somewhat smaller than the log N⋅ N /2^k bits required to store the entire truncated function table, the known S⋅ T ≥ Nlog N lower bound applies.},
  author       = {Pietrzak, Krzysztof Z and Wang, Pengxiang},
  booktitle    = {6th Conference on Information-Theoretic Cryptography},
  isbn         = {9783959773850},
  issn         = {1868-8969},
  keywords     = {Time-Space Lower Bounds, Blockchains},
  location     = {Santa Barbara, CA, United States},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{Time-space tradeoffs of truncation with preprocessing}},
  doi          = {10.4230/LIPIcs.ITC.2025.4},
  volume       = {343},
  year         = {2025},
}

@article{22032,
  abstract     = {We prove that the focusing and defocusing continuum Calogero–Moser models are well-posed in the scaling-critical space L^2+(R). In the focusing case, this requires solutions to have mass less than that of the soliton.},
  author       = {Killip, Rowan and Laurens, Thierry and Visan, Monica},
  issn         = {2692-3688},
  journal      = {Communications of the American Mathematical Society},
  number       = {7},
  pages        = {284--320},
  publisher    = {American Mathematical Society},
  title        = {{Scaling-critical well-posedness for continuum Calogero–Moser models on the line}},
  doi          = {10.1090/cams/48},
  volume       = {5},
  year         = {2025},
}

@article{22036,
  abstract     = {We prove dispersive decay, pointwise in time, for solutions to the mass-critical nonlinear Schrödinger equation in spatial dimensions d= 1, 2, 3.},
  author       = {Fan, Chenjie and Killip, Rowan and Visan, Monica and Zhao, Zehua},
  issn         = {1432-1823},
  journal      = {Mathematische Zeitschrift},
  publisher    = {Springer Nature},
  title        = {{Dispersive decay for the mass-critical nonlinear Schrödinger equation}},
  doi          = {10.1007/s00209-025-03821-8},
  volume       = {311},
  year         = {2025},
}

@inproceedings{20820,
  abstract     = {The high computational costs of large language models (LLMs) have led to a flurry of research on LLM compression, via methods such as quantization, sparsification, or structured pruning. A new frontier in this area is given by dynamic, non-uniform compression methods, which adjust the compression levels (e.g., sparsity) per-block or even per-layer in order to minimize accuracy loss, while guaranteeing a global compression threshold. Yet, current methods rely on estimating the "importance" of a given layer, implicitly assuming that layers contribute independently to the overall compression error. We begin from the motivating observation that this independence assumption does not generally hold for LLM compression: pruning a model further may even significantly recover performance. To address this, we propose EvoPress, a novel evolutionary framework for dynamic LLM compression. By formulating dynamic compression as a general optimization problem, EvoPress identifies optimal compression profiles in a highly efficient manner, and generalizes across diverse models and compression techniques. Via EvoPress, we achieve state-of-the-art performance for dynamic compression of Llama, Mistral, and Phi models, setting new benchmarks for structural pruning (block/layer dropping), unstructured sparsity, and quantization with dynamic bitwidths.},
  author       = {Sieberling, Oliver and Kuznedelev, Denis and Kurtic, Eldar and Alistarh, Dan-Adrian},
  booktitle    = {42nd International Conference on Machine Learning},
  issn         = {2640-3498},
  location     = {Vancouver, Canada},
  pages        = {55556--55590},
  publisher    = {ML Research Press},
  title        = {{EvoPress: Accurate dynamic model compression via evolutionary search}},
  volume       = {267},
  year         = {2025},
}

@inproceedings{20821,
  abstract     = {Modern deep neural networks exhibit heterogeneity across numerous layers of various types such as residuals, multi-head attention, etc., due to varying structures (dimensions, activation functions, etc.), distinct representation characteristics, which impact predictions. We develop a general layer-wise quantization framework with tight variance and code-length bounds, adapting to the heterogeneities over the course of training. We then apply a new layer-wise quantization technique within distributed variational inequalities (VIs), proposing a novel Quantized Optimistic Dual Averaging (QODA) algorithm with adaptive learning rates, which achieves competitive convergence rates for monotone VIs. We empirically show that QODA achieves up to a 150% speedup over the baselines in end-to-end training time for training Wasserstein GAN on 12+GPUs.},
  author       = {Nguyen, Anh Duc and Markov, Ilia and Wu, Frank Zhengqing and Ramezani-Kebrya, Ali and Antonakopoulos, Kimon and Alistarh, Dan-Adrian and Cevher, Volkan},
  booktitle    = {42nd International Conference on Machine Learning},
  issn         = {2640-3498},
  location     = {Vancouver, Canada},
  pages        = {46026--46072},
  publisher    = {ML Research Press},
  title        = {{Layer-wise quantization for quantized optimistic dual averaging}},
  volume       = {267},
  year         = {2025},
}

@article{20839,
  abstract     = {For every couple of Hausdorff functions ψ and φ verifying some mild assumptions, there exists a compact subset K of the Baire space such that the φ-Hausdorff measure and the ψ-packing measure on K are both finite and positive. Such examples are then embedded in any infinite dimensional Banach space to answer positively a question of Fan on the existence of metric spaces with arbitrary scales.},
  author       = {Helfter, Mathieu},
  issn         = {2308-1317},
  journal      = {Journal of Fractal Geometry},
  publisher    = {EMS Press},
  title        = {{Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces}},
  doi          = {10.4171/jfg/177},
  year         = {2025},
}

@misc{20842,
  abstract     = {Probing the possibility of entanglement generation through gravity offers a path to tackle the question of whether gravitational fields possess a quantum mechanical nature. A potential realization necessitates systems with low-frequency dynamics at an optimal mass scale, for which the microgram-to-milligram range is a strong contender. Here, after refining a figure-of-merit for the problem, we present a 1-milligram torsional pendulum operating at 18 Hz. We demonstrate laser cooling its motion from room temperature to 240~microkelvins, surpassing by over 20-fold the coldest motions attained for oscillators ranging from micrograms to kilograms. We quantify and contrast the utility of the current approach with other platforms. The achieved performance and large improvement potential highlight milligram-scale torsional pendulums as a powerful platform for precision measurements relevant to future studies at the quantum-gravity interface.},
  author       = {Agafonova, Sofya},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Research Data for: 'One-milligram torsional pendulum toward experiments at the quantum-gravity interface'}},
  doi          = {10.15479/AT-ISTA-20842},
  year         = {2025},
}

