@article{23241, abstract = {While partial coherence often degrades interference and information transfer, its correlations can be engineered to enhance imaging and optical information processing. However, approaches based on tomography and numerical reconstruction do not physically separate unknown fields into their coherence modes—that is, their orthogonal and mutually incoherent components. Here we demonstrate the separation of partially coherent light into coherence modes. We use variational processing in layered self-configuring interferometers on a silicon photonic circuit. This process finds the eigenvectors and eigenvalues of the coherency matrix, characterizing the state while leaving it intact and separated after optimization. We show that spatially orthogonal, mutually incoherent beams can be routed to separate outputs even when their intensity profiles overlap. Our experiment separates the two strongest coherence modes from a nine-input sampling of overlapping fields from two independent lasers; operation beyond two modes is verified in a rank-3 experiment. The number of physical components scales linearly with the rank r of the coherency matrix, through r in situ gradient-based optimizations enabled by electronic drive-frequency multiplexing of the phase shifters. We benchmark performance against an on-chip mixture-based tomographic method. These results establish a scalable framework for programmable coherence analysis and control.}, author = {Mor, Paul-Alexis and Kroo, Anne 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}, issn = {1749-4893}, journal = {Nature Photonics}, publisher = {Springer Nature}, title = {{Automatic on-chip separation of partially coherent light into its mutually incoherent components}}, doi = {10.1038/s41566-026-02035-6}, year = {2026}, } @article{23242, abstract = {Nanofluidic memristors promise brain-inspired information processing with ions, yet their microscopic origin remains debated. So far, ionic memory has been attributed to ion-specific interactions, dynamic wetting, chemical reactions or mechanical deformations, yet typically without direct experimental evidence. Here, by combining operando interferometric imaging with electrokinetic measurements, we directly visualize voltage-induced blistering of the confining walls of two-dimensional (2D) nanochannels as the key origin of memristive hysteresis. We identify two distinct classes of blisters: unidirectional, driven by electrostatic forces on surface charges, and bidirectional, arising from osmotic pressure due to concentration polarization. This mechanistic framework explains device evolution and device-to-device variability, and reframes stochastic blistering as a functional design element. Our results constitute a direct proof of electromechanical coupling as a robust pathway to ionic memory in 2D nanochannels and open routes towards high-performance ionic memristors and electrically actuated nanofluidic valves.}, author = {Saurav, Kalluvadi Veetil and Ronceray, Nathan and Coquinot, Baptiste and Pizarro, Agustin D. and Keerthi, Ashok and Emmerich, Theo and Radenovic, Aleksandra and Radha, Boya}, issn = {1476-4660}, journal = {Nature Materials}, publisher = {Springer Nature}, title = {{Direct imaging elucidates ionic memory in two-dimensional nanochannels}}, doi = {10.1038/s41563-026-02775-4}, year = {2026}, } @article{23235, abstract = {Modular DNA assembly based Golden Gate cloning (MoClo) is a widely used framework to assemble genetic constructs. A number of MoClo “destination vectors” have been developed, however, available options are still limited with regards to copy number and antibiotic resistance in bacteria, vector compactness, and industry researchers’ access to materials. Here, we assembled combinations of five resistance cassettes, four origins of replication and two colour markers to develop a collection of compact MoClo-compatible pCORE destination vectors. pCORE vectors support MoClo Level 1 and Level 2 assembly, and can serve as starting points for developing vectors for other hosts. We tested the performance of our vector collection in Escherichia coli, Agrobacterium tumefaciens and Saccharomyces cerevisiae. pCORE vectors are available to academia and industry under the terms of OpenMTA licence.}, author = {Gonzalez Somermeyer, Louisa and Perfilov, Maxim M. and Gao, Feng and Gorbachev, Dmitry A. and Sytov, Nikita V. and Kovalenko, Victoria and Sureda-Vives, Macià and Fleiss, Aubin and Baldominos Flores, Pilar and Yampolsky, Ilia V. and Kondrashov, Fyodor and Mishin, Alexander S. and Sarkisyan, Karen}, issn = {2045-2322}, journal = {Scientific Reports}, publisher = {Springer Nature}, title = {{pCORE, a set of open modular plasmids compatible with golden gate assembly}}, doi = {10.1038/s41598-026-66483-4}, volume = {16}, 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}, } @article{23236, abstract = {A growing number of core-collapse supernovae (CCSNe) exhibit diverse light-curve morphologies that indicate strong interactions with dense, pre-existing circumstellar material (CSM). Understanding the physical origin of such CSM is essential for exploring the late-stage evolution of SN progenitors and the diversity of observed transients. Non-conservative mass transfer during binary interactions provides a promising channel for producing dense CSM before core collapse. Using the stellar evolution code MESA, we simulate post-common-envelope binaries that give rise to ultra-stripped progenitors before core collapse, and self-consistently construct the CSM from the mass loss during binary evolution. We further analytically predict the resulting bolometric and radio light curves by following the shock dynamics of SN ejecta interacting with the CSM. We find that surface-radius variations in the ultra-stripped progenitors, which reflect changes in core energy generation after a delay comparable to the thermal timescale, trigger multiple episodes of mass transfer and give rise to a variety of CSM density profiles, including detached shells and multi-peaked structures. When interacting with SN ejecta, such CSMs give rise to non-monotonic, multi-peaked optical and radio light curves that qualitatively resemble features observed in some stripped-envelope SNe. Future long-term multi-wavelength monitoring of ultra-stripped SN candidates, particularly at late times, will be crucial for probing structured CSM and constraining the long-term mass-loss history of stripped progenitors prior to core collapse. Our results suggest that SN-CSM interaction in binaries hosting ultra-stripped progenitors can provide a possible channel for producing diverse light-curve morphologies, highlighting a potential connection between the pre-SN evolution of massive binary stars and the diversity of their explosive transients.}, author = {Wei, Dandan and Schneider, Fabian R.N. and Podsiadlowski, Philipp and Moriya, Takashi J. and Laplace, Eva}, issn = {1432-0746}, journal = {Astronomy and Astrophysics}, publisher = {EDP Sciences}, title = {{Diversity of stripped-envelope supernova light curves from interactions with binary-driven circumstellar material}}, doi = {10.1051/0004-6361/202659812}, volume = {715}, year = {2026}, } @article{23237, abstract = {Context. Understanding the large-scale dynamics of molecular clouds (MCs) is crucial to constraining the processes that govern star formation and the structure and evolution of the Galaxy. While gas tracers have traditionally been used to map MC kinematics, stellar tracers such as young stellar objects (YSOs) and open clusters (OCs) provide a complementary approach that enables direct comparisons between the stellar and gaseous components. Aims. We aim to compare the kinematics of young (≤30 Myr) OCs with YSOs in the same star-forming region, the latter being assumed to trace the motions of the parent cloud gas. Subsequently, we intend to reconstruct the three-dimensional (3D) motions of the main MC complexes within 2.5 kpc of the Sun using both YSOs and young OCs as tracers. Methods. Using Gaia Data Release 3 (DR3) astrometry and complementary spectroscopic surveys providing radial velocities (RVs), we compiled a unified sample of24 146 young stars, comprising YSOs and OC members. We applied robust clustering in proper-motion space to identify co-moving YSOs and derived cloud-averaged motions via Monte Carlo sampling. These motions were compared with the kinematics inferred from OCs younger than 30 Myr. Finally, we performed orbital integrations in a realistic Galactic potential to trace the past evolution of the clouds and to quantify their expansion and rotation. Results. We derive homogeneous 3D kinematics for 15 star-forming regions within 2.5 kpc. YSOs and OCs exhibit strongly consistent kinematics within each cloud, with a median spatial velocity offset of ≲2 km s−1, allowing us to combine them into a unified tracer sample. The resulting bulk cloud motions show a median peculiar velocity of ≃9 km s−1 with respect to the Galactic rotation. We used our catalogue to trace back the Solar System’s voyage through the Orion cloud and the common origin of Lupus, Ophiuchus, and Corona Australis in the Sco-Cen region. Internally, we detected significant expansion in Orion and Ophiuchus (at a 5σ level) and coherent rotation in at least six complexes, likely reflecting local processes such as stellar feedback and angular-momentum redistribution. Conclusions. Young OCs and YSOs exhibit broadly consistent kinematics, and therefore OCs can also be used to trace the bulk motion of the star-forming regions.}, author = {Pérez-Couto, X. and Torres Rodriguez, Santiago and Miret-Roig, N. and Anders, F. and Villaver, E. and Mustill, A. J. and Manteiga, M.}, issn = {1432-0746}, journal = {Astronomy & Astrophysics}, publisher = {EDP Sciences}, title = {{A homogeneous three-dimensional view of molecular cloud kinematics out to 2.5 kpc: Using young stellar objects and open clusters as complementary tracers}}, doi = {10.1051/0004-6361/202558818}, volume = {714}, year = {2026}, } @article{23238, abstract = {The AM CVn class includes mass transferring, ultra-compact double white dwarf binaries with orbital periods on the timescale of minutes. A long-standing puzzle is that none of the roughly fifty ultra-compact, ‘verification binaries’ that are easily detectable in the millihertz gravitational wave regime reside in a triple star configuration. Much evidence has hinted at V407 Vul being an inspiraling, double white dwarf AM CVn with an orbital period of 569 s. Yet, a decisive confirmation has proved challenging since a main sequence star dominates its visible spectrum. We present a clear confirmation of the triple star nature of the source by detecting a significant astrometric wobble of the photocentre on the 569 s orbital period of the binary. The AM CVn and the main sequence components are gravitationally bound with a spatial separation of roughly 0.03–0.04″, equating to an orbital separation of approximately 120 AU. A total of 23 years of orbital timing constrained the orbital decay of the AM CVn as being precise to the 1% level, critical in understanding if this class of binary survives through a period minimum or coalesce. New Hubble Space Telescope ultraviolet imaging and spectroscopic data allowed the isolated detection of the AM CVn at shorter wavelengths, revealing an approximately 58 000 K accretor white dwarf, while placing a firm distance constraint of 3510+140−110 pc. At this distance, we predict that the Laser Interferometer Space Antenna (LISA) will detect V407 Vul with a 28.4 ± 9.2 signal-to-noise ratio in a 4 yr mission time, making it the first verification binary with an outer tertiary, or ‘verification triple’, detectable for millihertz gravitational wave observatories.}, author = {Munday, James and Rodriguez, Antonio C. and Reindl, Nicole and Mackensen, Nina and Sunny Wong, Tin Long and Littlefair, S. P. and Pelisoli, Ingrid and Brown, Alex and Castro Segura, N. and Chakraborty, Joheen and Dawson, Harry and Dhillon, V. S. and Dorsch, Matti and Dyer, Martin and Garbutt, James A. and Geier, Stephan and Green, Matthew and Jarvis, Dan and Kennedy, Mark R. and Kerry, Paul and Mccormac, James and Parsons, Steven G. and van Roestel, Joannes C and Sahman, Dave and Tremblay, P. E. and Yates, Amalie}, issn = {1432-0746}, journal = {Astronomy & Astrophysics}, publisher = {EDP Sciences}, title = {{V407 Vul: A triple star system with an AM CVn detectable by gravitational wave observatories}}, doi = {10.1051/0004-6361/202661518}, volume = {714}, year = {2026}, } @article{23234, abstract = {Lattices and periodic point sets are well-known objects from discrete geometry. They are also used in crystallography as one of the models of atomic structure of periodic crystals. In this paper we study the embedding properties of spaces of lattices and periodic point sets equipped with optimal bijection metrics (i.e., bottleneck and Euclidean bottleneck metrics). We focus our treatment on embeddings into Hilbert space. On one hand this is motivated by modern data analysis, which is mostly based on statistical approaches developed on Euclidean or Hilbert spaces, hence such embeddings play a major role in applied pipelines. On the other hand there is a well-established methodology related to such questions in coarse geometry, arising from the work on the Novikov conjecture. The main results of this paper provide different conditions, under which the spaces of lattices or periodic point sets are Lipschitz or coarsely (non)embeddable into Hilbert space. The various conditions are phrased in terms of density, packing radius, covering radius, the cardinality of the motif, and the diameter of the unit cell.}, author = {Garber, Alexey and Virk, Iga and Zava, Nicolò}, issn = {2367-1734}, journal = {Journal of Applied and Computational Topology}, number = {4}, publisher = {Springer}, title = {{On the metric spaces of lattices and periodic point sets}}, doi = {10.1007/s41468-026-00258-8}, volume = {10}, year = {2026}, } @article{23233, abstract = {In recent years, hybrid semiconductor–superconductor qubits have emerged as a compelling alternative to more traditional qubit platforms, owing to their unique combination of material properties and device-level tunability. A key feature of these systems is their gate-tunable Josephson coupling, which enables the realization of superconducting qubit architectures with full electric field control and which offers a promising route toward scalable and low-crosstalk quantum processors. One of the central motivations behind this approach is the possibility of unifying the advantages of superconducting and spin-based qubits. This approach to creating hybrid qubits can be achieved, for example, by encoding quantum information in the spin degree of freedom of a quasiparticle occupying an Andreev bound state, thereby combining long coherence times with fast and flexible control. Recent progress has been further accelerated by the bottom-up engineering of Andreev bound states into coupled quantum dot arrays, leading to the realization of novel device architectures such as minimal Kitaev chains hosting (poor man’s) Majorana states, precursors of topologically protected Majorana zero modes, and, very recently, to the first coherent control of a Majorana parity qubit. In parallel, alternative strategies have focused on the design of Hamiltonian-protected hybrid qubits, including Cooper pair parity qubits and fluxon parity qubits, which aim to enhance robustness against local noise and decoherence. These approaches leverage the interplay between superconducting phase dynamics and the discrete charge or flux degrees of freedom in hybrid junctions. In this article, we review recent theoretical and experimental advances in the development of semiconductor–superconductor hybrid qubits. We provide a comprehensive overview of the underlying physical mechanisms, device implementations, and emerging architectures, with particular emphasis on their potential to enable (topologically) protected quantum information processing. While many of these qubit designs remain at the proof-of-concept stage, the rapid pace of progress suggests that practical demonstrations may be within reach in the near future.}, author = {Pita-Vidal, Marta and Seoane Souto, Rubén and Goswami, Srijit and Andersen, Christian Kraglund and Katsaros, Georgios and Shabani, Javad and Aguado, Ramón}, issn = {0370-1573}, journal = {Physics Reports}, pages = {1--112}, publisher = {Elsevier}, title = {{Novel qubits in hybrid semiconductor–superconductor nanostructures}}, doi = {10.1016/j.physrep.2026.10.002}, volume = {1218}, year = {2026}, } @article{22720, abstract = {Circadian clocks underlie daily rhythms in physiology by coordinating temporal patterns of gene expression and protein function throughout the body. At the core of this system in mammals is CLOCK/BMAL1, a ubiquitously expressed heterodimeric transcription factor complex that orchestrates tissue-specific circadian gene expression. The basis for this specificity remains unclear, but tissue-specific interactions at chromatin could provide one. Here we used chromatin immunoprecipitation coupled to mass spectrometry to map CLOCK/BMAL1-associated protein complexes on chromatin in mouse liver, kidney and lung. We detected 1,510 associated proteins, most of which were tissue-specific and not explained by protein abundance. Among these, we identified the homeodomain transcription factors PROX1, HNF1B and HOXA5 as tissue-enriched interactors that bind BMAL1, co-occupy most BMAL1 genomic sites and establish organ-restricted circadian transcription. Our findings demonstrate that tissue-specific transcription factors confer cellular identity on the core clock, thereby contributing to organ-specific patterns of rhythmic gene expression.}, author = {Aygenli, Fatih and Huschet, Lukas A. and Popp, Tanja and Ribeiro, Andrea and Barkhatova, Darina and Jouffe, Céline and Trozzo, Ricardo and Menet, Jerome S. and Rad, Roland and Dyar, Kenneth A. and Lech, Maciej and Straub, Tobias and Michael, Alicia and Robles, Maria S.}, issn = {1476-4679}, journal = {Nature Cell Biology}, publisher = {Springer Nature}, title = {{CLOCK/BMAL1 interactome uncovers homeodomain factors as tissue regulators}}, doi = {10.1038/s41556-026-02041-4}, year = {2026}, } @article{21894, abstract = {The Dean–Kawasaki equation—one of the most fundamental SPDEs of fluctuating hydrodynamics—has been proposed as a model for density fluctuations in weakly interacting particle systems. In its original form, it is highly singular and fails to be renormalizable, even by approaches such as regularity structures and paracontrolled distributions, hindering mathematical approaches to its rigorous justification. It has been understood recently that it is natural to introduce a suitable regularization, for example, by applying a formal spatial discretization or by truncating high-frequency noise: This yields well-posed equations that should still precisely approximate the law of the particle density fluctuations. In the present work, we prove that a regularization in the form of a formal discretization of the Dean–Kawasaki equation indeed accurately describes density fluctuations in systems of weakly interacting diffusing particles: We show that, in suitable weak metrics, the law of fluctuations as predicted by the discretized Dean–Kawasaki SPDE approximates the law of fluctuations of the original particle system, up to an error that is of arbitrarily high order in the inverse particle number and a discretization error. In particular, the Dean– Kawasaki equation provides a means for efficient and accurate simulations of density fluctuations in weakly interacting particle systems.}, author = {Cornalba, Federico and Fischer, Julian L and Ingmanns, Jonas and Raithel, Claudia}, issn = {2168-894X}, journal = {The Annals of Probability}, keywords = {Weakly interacting particle systems, fluctuating hydrodynamics, Dean-Kawasaki equation, stochastic PDEs, numerical approximation}, number = {1}, pages = {155--215}, publisher = {Institute of Mathematical Statistics}, title = {{Density fluctuations in weakly interacting particle systems via the Dean–Kawasaki equation}}, doi = {10.1214/25-aop1763}, volume = {54}, year = {2026}, } @unpublished{23261, abstract = {We establish a quantitative homogenization result for an interface moving through a field of sufficiently sparse but possibly impenetrable random obstacles. From a physical viewpoint, such problems arise e.g. in the context of the motion of dislocations or magnetic domain walls in a material with impurities. More precisely, given an interface moving by forced mean curvature flow -- with a positive global driving force plus a spatially fluctuating (negative) driving force modeling the obstacles -- , we prove that the effective large-scale behavior of the forward front is governed by a constant-speed effective motion. For typical values of the global forcing, on large scales of the order $\varepsilon^{-1}$ we obtain a (relative) error estimate for arrival times of the front of the order $\varepsilon^{1/9-}$. Previous stochastic homogenization results for forced mean curvature motion in the literature have required a positive pointwise lower bound on the combined forcing, which implies the absence of any actual obstacles capable of locally blocking the interface motion. In contrast, our results are valid even in the presence of islands with locally negative forcing, potentially allowing for locally pinned interfaces and eventually enclosures left behind the main front. Thus, our homogenization result applies to settings closer to (but still strictly away from) the pinning-depinning transition.}, author = {Fischer, Julian L and Ingmanns, Jonas}, booktitle = {arXiv}, keywords = {Analysis of PDEs (math.AP), Probability (math.PR), FOS: Mathematics, FOS: Mathematics, 35B27, 60K35, 53E10, 35R60, 35F21}, title = {{Quantitative homogenization of forced geometric motions through random fields of obstacles}}, doi = {10.48550/ARXIV.2603.12179}, year = {2026}, } @misc{22968, author = {Tatman, Benjamin}, publisher = {Institute of Science and Technology Austria}, title = {{Supplementary Material for "Enabling low-power Bloch-McConnell Relaxation Dispersion in solid-state NMR"}}, doi = {10.15479/AT-ISTA-22968}, year = {2026}, } @misc{23221, abstract = {This Research Data contains supplemental videos for Section 5.3 "Modeling three-state molecular machines walking along a track" of my PhD Thesis "Biological functionality without biochemistry: designing nanomachines for target behavior". Supplemental videos 1-3: Visualization of results of Langevin dynamics simulations of the machine walking along a track for parameters epsilon = 11 and a = [6, 8, 10] using periodic boundary conditions. The first video (a = 8) demonstrates a significant net motion of the machine to the right. The second video (a = 6) demonstrates fast movement in both directions without relevant net motion. The third video (a = 10) demonstrates targeted yet short and slow net motion to the right.}, author = {Ehrmann, Andreas}, keywords = {Molecular machines, Langevin dynamics}, publisher = {Institute of Science and Technology Austria}, title = {{Supplemental videos for: Modeling three-state molecular machines walking along a track}}, doi = {10.15479/AT-ISTA-23221}, 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}, }