@article{20407,
  abstract     = {We suggest a new algorithm to estimate representations of compact Lie groups from finite samples of their orbits. Different from other reported techniques, our method allows the retrieval of the precise representation type as a direct sum of irreducible representations. Moreover, the knowledge of the representation type permits the reconstruction of its orbit, which is useful for identifying the Lie group that generates the action, from a finite list of candidates. Our algorithm is general for any compact Lie group, but only instantiations for SO(2), T^d, SU(2), and SO(3) are considered. Theoretical guarantees of robustness in terms of Hausdorff and Wasserstein distances are derived. Our tools are drawn from geometric measure theory, computational geometry, and optimization on matrix manifolds. The algorithm is tested for synthetic data up to dimension 32, as well as real-life applications in image analysis, harmonic analysis, density estimation, equivariant neural networks, chemical conformational spaces, and classical mechanics systems, achieving very accurate results.},
  author       = {Ennes, Henrique and Tinarrage, Raphaël},
  issn         = {1615-3383},
  journal      = {Foundations of Computational Mathematics},
  publisher    = {Springer Nature},
  title        = {{LieDetect: Detection of representation orbits of compact Lie groups from point clouds}},
  doi          = {10.1007/s10208-025-09728-4},
  year         = {2025},
}

@article{20423,
  abstract     = {For any d  2, we prove that there exists an integer n0(d) such that there exists an n × n
magic square of dth powers for all n  n0(d). In particular, we establish the existence of
an n × n magic square of squares for all n  4, which settles a conjecture of
Várilly-Alvarado. All previous approaches had been based on constructive methods and
the existence of n × n magic squares of dth powers had only been known for sparse
values of n. We prove our result by the Hardy-Littlewood circle method, which in this
setting essentially reduces the problem to finding a sufficient number of disjoint linearly
independent subsets of the columns of the coefficient matrix of the equations defining
magic squares. We prove an optimal (up to a constant) lower bound for this quantity.},
  author       = {Rome, Nick and Yamagishi, Shuntaro},
  issn         = {2363-9555},
  journal      = {Research in Number Theory},
  number       = {4},
  publisher    = {Springer Nature},
  title        = {{On the existence of magic squares of powers}},
  doi          = {10.1007/s40993-025-00671-5},
  volume       = {11},
  year         = {2025},
}

@article{20424,
  abstract     = {Homeostasis relies on a precise balance of fate choices between renewal and differentiation. Although progress has been done to characterize the dynamics of single-cell fate choices, their underlying mechanistic basis often remains unclear. Concentrating on skin epidermis as a paradigm for multilayered tissues with complex fate choices, we develop a 3D vertex-based model with proliferation in the basal layer, showing that mechanical competition for space naturally gives rise to homeostasis and neutral drift dynamics that are seen experimentally. We then explore the effect of introducing mechanical heterogeneities between cellular subpopulations. We uncover that relatively small tension heterogeneities, reflected by distinct morphological changes in single-cell shapes, can be sufficient to heavily tilt cellular dynamics towards exponential growth. We thus derive a master relationship between cell shape and long-term clonal dynamics, which we validated during basal cell carcinoma initiation in mouse epidermis. Altogether, we propose a theoretical framework to link mechanical forces, quantitative cellular morphologies and cellular fate outcomes in complex tissues.},
  author       = {Sahu, Preeti and Monteiro-Ferreira, Sara and Canato, Sara and Soares, Raquel Maia and Sánchez-Danés, Adriana and Hannezo, Edouard B},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Mechanical control of cell fate decisions in the skin epidermis}},
  doi          = {10.1038/s41467-025-62882-9},
  volume       = {16},
  year         = {2025},
}

@article{20425,
  abstract     = {Ultraviolet (UV) radiation from accreting black holes ionizes the intergalactic gas around early quasars, carving out highly ionized bubbles in their surroundings. Any changes in a quasar’s luminosity are therefore predicted to produce outward-propagating ionization gradients, affecting the Lyα absorption opacity near the quasar’s systemic redshift. This “proximity effect” is well-documented in rest-UV quasar spectra but only provides a one-dimensional probe along our line of sight. Here we present deep spectroscopic observations with the James Webb Space Telescope (JWST) of galaxies in the background of a superluminous quasar at zQSO ≈ 6.3, which reveal the quasar’s “light echo” with Lyα tomography in the transverse direction. This transverse proximity effect is detected for the first time toward multiple galaxy sightlines, allowing us to map the extent and geometry of the quasar’s ionization cone. We obtain constraints on the orientation and inclination of the cone, as well as an upper limit on the obscured solid angle fraction of fobsc < 91%. Additionally, we find a timescale of the quasar’s UV radiation of tqso = 10^5.6+0.1-0.3 yr, which is significantly shorter than would be required to build up the central supermassive black hole (SMBH) with conventional growth models, but is consistent with independent measurements of the quasars’ duty cycle. Our inferred obscured fraction disfavors a scenario where short quasar lifetimes can be explained exclusively by geometric obscuration, and instead supports the idea that radiatively inefficient accretion or growth in initially heavily enshrouded cocoons plays a pivotal role in early SMBH growth. Our results pave the way for novel studies of quasars’ ionizing geometries and radiative histories at early cosmic times.},
  author       = {Eilers, Anna Christina and Yue, Minghao and Matthee, Jorryt J and Hennawi, Joseph F. and Davies, Frederick B. and Simcoe, Robert A. and Teague, Richard and Bordoloi, Rongmon and Brammer, Gabriel and Kang, Yi and Kashino, Daichi and Mackenzie, Ruari and Naidu, Rohan P. and Navarrete, Benjamín},
  issn         = {2041-8213},
  journal      = {The Astrophysical Journal Letters},
  number       = {2},
  publisher    = {IOP Publishing},
  title        = {{The light echo of a high-redshift quasar mapped with Lyα tomography}},
  doi          = {10.3847/2041-8213/ae057a},
  volume       = {991},
  year         = {2025},
}

@article{20426,
  abstract     = {SnTe has attracted significant research interest as a lead-free alternative to PbTe; however, its intrinsically high hole concentration results in an undesirably low Seebeck coefficient and elevated electronic thermal conductivity, thus significantly limiting its thermoelectric (TE) performance. Herein, we present a cost-effective, binary thiol-amine-mediated colloidal synthesis method to synthesize Bi-doped SnTe nanoparticles, eliminating the use of tri-n-octylphosphine-based precursors. The introduction of an electron-rich Bi dopant reduces the hole concentration and increases the Seebeck coefficient. Furthermore, post-synthetic surface treatment with chalcogenidocadmate complexes promotes atomic interdiffusion during annealing and consolidation, leading to compositional redistribution and modulation of the electronic band structure. Density functional theory (DFT) calculations reveal that co-modification via Bi doping and CdSe-derived chalcogen incorporation reduces the energy offset at the valence band maxima from 0.30 eV to 0.10 eV, thereby enhancing valence band degeneracy. The synergistic structural and electronic band structure modulations produce an SnTe-based material with a record high power factor of 2.1 mW m–1 K–2 at 900 K, a maximum TE figure of merit (zT) of 1.2, and a promising theoretical conversion efficiency of 8.3%. This study reports a versatile and scalable colloidal synthesis strategy that integrates hierarchical structural modulation with electronic band engineering, offering a synergistic route to significantly enhance the TE performance.},
  author       = {Meng, Weite and Xu, Lixiang and Lu, Shaoqing and Li, Mingquan and Li, Mengyao and Zhang, Yu and Wang, Qingyue and Wang, Wen Jun and Huo, Siqi and Bañares, Miguel A. and Martin-Gonzalez, Marisol and Ibáñez, Maria and Cabot, Andreu and Hong, Min and Liu, Yu and Lim, Khak Ho},
  issn         = {1936-086X},
  journal      = {ACS Nano},
  number       = {38},
  pages        = {34395--34407},
  publisher    = {American Chemical Society},
  title        = {{Thiol-Amine complexes for the synthesis and surface engineering of SnTe nanomaterials toward high thermoelectric performance}},
  doi          = {10.1021/acsnano.5c12627},
  volume       = {19},
  year         = {2025},
}

@article{20427,
  abstract     = {Animal cells migrating up chemotactic gradients often show speed oscillations. A new study describes a molecular circuit that switches zebrafish germ cells between phases of straight runs, tumbling and directional reorientation.},
  author       = {Li, Ziqiang and Sixt, Michael K},
  issn         = {1879-0445},
  journal      = {Current Biology},
  number       = {18},
  pages        = {R890--R892},
  publisher    = {Elsevier},
  title        = {{Cell migration: How animal cells run and tumble}},
  doi          = {10.1016/j.cub.2025.08.016},
  volume       = {35},
  year         = {2025},
}

@article{20428,
  author       = {Noël, Timothy and Pieber, Bartholomäus},
  issn         = {1860-5397},
  journal      = {Beilstein Journal of Organic Chemistry},
  pages        = {1645--1647},
  publisher    = {Beilstein Institut},
  title        = {{Photocatalysis and photochemistry in organic synthesis}},
  doi          = {10.3762/bjoc.21.128},
  volume       = {21},
  year         = {2025},
}

@article{20429,
  abstract     = {Plant–plant interactions are key to understanding ecosystem services and shaping restoration strategies, as they can produce either negative or positive effects, determining species establishment and growth. Recognizing these interactions during early-life stages provides valuable insights for restoration in human-disturbed areas. One promising approach is nucleation planting, which establishes small clusters of native species in strategically selected sites, being particularly useful in sites with large herbivores. In southern Patagonia, livestock production has historically been the main economic activity, severely impacting extensive areas of Nothofagus antarctica forest through grazing and intentional burning to increase forage. In this context, nucleation planting with Berberis microphylla, a non-palatable shrub, could foster forest recovery in degraded sites. To evaluate this, we conducted an experiment testing the response of trees to varying shrub number, while also assessing intraspecific effects in both species. We measured survival, biomass, and functional traits. Results showed that the combination of four shrubs surrounding a single tree maintained tree survival at levels comparable to trees growing alone, while seedlings exhibited conspecific negative plant number dependence. Additionally, B. microphylla increased its below- to above-ground biomass ratio under higher plant number, indicating resource reallocation and niche differentiation through spatial separation of root systems.},
  author       = {Bustamante, Gimena Noemí and Arena, Miriam Elisabet and Selzer, Luciano and Ruggirello, Matthew and Rodríguez, Paula and Pedrazzani, Samuele and Navarro-Cano, Jose Antonio and Soler Schaller, Rosina Matilde},
  issn         = {1573-5052},
  journal      = {Plant Ecology},
  pages        = {1301--1313},
  publisher    = {Springer Nature},
  title        = {{Biotic interactions between trees and colonizing shrubs: Implications for active restoration in southern Patagonian forests}},
  doi          = {10.1007/s11258-025-01568-0},
  volume       = {226},
  year         = {2025},
}

@article{20430,
  abstract     = {Protein design has focused on the design of ground states, ensuring that they are sufficiently low energy to be highly populated1. Designing the kinetics and dynamics of a system requires, in addition, the design of excited states that are traversed in transitions from one low-lying state to another2,3. This is a challenging task because such states must be sufficiently strained to be poorly populated, but not so strained that they are not populated at all, and because protein design methods have focused on generating near-ideal structures4,5,6,7. Here we describe a general approach for designing systems that use an induced-fit power stroke8 to generate a structurally frustrated9 and strained excited state, allosterically driving protein complex dissociation. X-ray crystallography, double electron–electron resonance spectroscopy and kinetic binding measurements show that incorporating excited states enables the design of effector-induced increases in dissociation rates as high as 5,700-fold. We highlight the power of this approach by designing rapid biosensors, kinetically controlled circuits and cytokine mimics that can be dissociated from their receptors within seconds, enabling dissection of the temporal dynamics of interleukin-2 signalling.},
  author       = {Broerman, Adam J. and Pollmann, Christoph and Zhao, Yang and Lichtenstein, Mauriz A. and Jackson, Mark D. and Tessmer, Maxx H. and Ryu, Won Hee and Ogishi, Masato and Abedi, Mohamad H. and Sahtoe, Danny D. and Allen, Aza and Kang, Alex and De La Cruz, Joshmyn and Brackenbrough, Evans and Sankaran, Banumathi and Bera, Asim K. and Zuckerman, Daniel M. and Stoll, Stefan and Garcia, K. Christopher and Praetorius, Florian M and Piehler, Jacob and Baker, David},
  issn         = {1476-4687},
  journal      = {Nature},
  pages        = {528--535},
  publisher    = {Springer Nature},
  title        = {{Design of facilitated dissociation enables timing of cytokine signalling}},
  doi          = {10.1038/s41586-025-09549-z},
  volume       = {647},
  year         = {2025},
}

@article{20431,
  abstract     = {Haptotaxis is the process of directed cell migration along gradients of extracellular matrix density and is central to morphogenesis, immune responses and cancer invasion. It is commonly assumed that cells respond to these gradients by migrating directionally towards the regions of highest ligand density. In contrast with this view, here we show that cells exposed to micropatterned fibronectin gradients exhibit a wide range of complex trajectories, including directed haptotactic migration up the gradient but also linear oscillations and circles with extended periods of migration down the gradient. To explain this behaviour, we developed a biophysical model of haptotactic cell migration based on a coarse-grained molecular clutch model coupled to persistent stochastic polarity dynamics. Although initial haptotactic migration is explained by the differential friction at the front and back of the cell, the observed complex trajectories over longer timescales arise from the interplay between differential friction, persistence and physical confinement. Overall, our study reveals that confinement and persistence modulate the ability of cells to sense and respond to haptotactic cues and provides a framework for understanding how cells navigate complex environments.},
  author       = {Fortunato, Isabela Corina and Brückner, David and Grosser, Steffen and Nautiyal, Rohit and Rossetti, Leone and Bosch-Padrós, Miquel and Trebicka, Jonel and Roca-Cusachs, Pere and Sunyer, Raimon and Hannezo, Edouard B and Trepat, Xavier},
  issn         = {1745-2481},
  journal      = {Nature Physics},
  pages        = {1638--1647},
  publisher    = {Springer Nature},
  title        = {{Single-cell migration along and against confined haptotactic gradients}},
  doi          = {10.1038/s41567-025-03015-3},
  volume       = {21},
  year         = {2025},
}

@article{20432,
  abstract     = {A rapidly increasing body of work reporting phenomena associated with lattice vibrations carrying angular momentum has led to the emergence of the field of chiral phonons. Some of these properties, such as the phonon magnetic moment, also occur in achiral phonons that are circularly or elliptically polarized, while the presence of chirality has additional implications for the types of interaction allowed between the phonons and light, electrons and other quasiparticles. In this Perspective we introduce a framework for classifying phonons with angular momentum, and provide illustrations of the different types using examples from the recent literature. Specifically, we suggest the term ‘axial phonon’ to encompass all phonons that carry angular momentum, real or pseudo, and reserve the term ‘chiral phonon’ for those phonons that break improper rotational symmetry. We hope that this scheme provides clarification on the matter of phonon chirality and will serve as a guide for future research.},
  author       = {Juraschek, Dominik M. and Geilhufe, R. Matthias and Zhu, Hanyu and Basini, Martina and Baum, Peter and Baydin, Andrey and Chaudhary, Swati and Fechner, Michael and Flebus, Benedetta and Grissonnanche, Gael and Kirilyuk, Andrei I. and Lemeshko, Mikhail and Maehrlein, Sebastian F. and Mignolet, Maxime and Murakami, Shuichi and Niu, Qian and Nowak, Ulrich and Romao, Carl P. and Rostami, Habib and Satoh, Takuya and Spaldin, Nicola A. and Ueda, Hiroki and Zhang, Lifa},
  issn         = {1745-2481},
  journal      = {Nature Physics},
  pages        = {1532--1540},
  publisher    = {Springer Nature},
  title        = {{Chiral phonons}},
  doi          = {10.1038/s41567-025-03001-9},
  volume       = {21},
  year         = {2025},
}

@article{20452,
  abstract     = {Accurate modeling of long-range forces is critical in atomistic simulations, as they play a central role in determining the properties of material and chemical systems. However, standard machine learning interatomic potentials (MLIPs) often rely on short-range approximations, limiting their applicability to systems with significant electrostatics and dispersion forces. We recently introduced the Latent Ewald Summation (LES) method, which captures long-range electrostatics without explicitly learning atomic charges or charge equilibration. We benchmark LES on diverse and challenging systems, including charged molecules, ionic liquids, electrolyte solutions, polar dipeptides, surface adsorption, electrolyte/solid interfaces, and solid-solid interfaces. Here we show that LES can reproduce the exact atomic charges for classical systems with fixed charges and can infer dipole and quadrupole moments, as well as the dipole derivative with respect to atomic positions, for quantum mechanical systems. Moreover, LES can achieve better accuracy in energy and force predictions compared to methods that explicitly learn from charges.},
  author       = {King, Daniel S. and Kim, Dongjin and Zhong, Peichen and Cheng, Bingqing},
  issn         = {2041-1723},
  journal      = {Nature Communications},
  publisher    = {Springer Nature},
  title        = {{Machine learning of charges and long-range interactions from energies and forces}},
  doi          = {10.1038/s41467-025-63852-x},
  volume       = {16},
  year         = {2025},
}

@article{20453,
  abstract     = {Magnetotropic susceptibility is the thermodynamic coefficient that maps the curvature of free energy with respect to an applied magnetic field orientation, providing a means to quantify the magnetic anisotropy of a crystal. In this context, non-linear magnetic torque behavior has been reported in FePS3, motivating the investigation of similar non-linear characteristics in its magnetotropic susceptibility. In this work, we derive the non-linear magnetotropic susceptibility expressions for FePS3 in both ac*-and bc*-planes using complementary approaches: by taking the first derivative of torque and through the formal calculation of the magnetotropic susceptibility. Higher-order terms in the magnetization are included, and the final equations are obtained by applying symmetry constraints imposed by the C2h point group of the material. We analyze the behavior of the resulting non-linear expressions and identify the contributions of each parameter. Our theoretical results show good agreement with preliminary, unpublished experimental data, offering meaningful guidance for ongoing and future experimental work.},
  author       = {Farooq, Hamza and Nauman, Muhammad},
  issn         = {1361-648X},
  journal      = {Journal of Physics Condensed Matter},
  number       = {40},
  publisher    = {IOP Publishing},
  title        = {{Non-linear magnetotropic susceptibility in FePS3}},
  doi          = {10.1088/1361-648X/ae0913},
  volume       = {37},
  year         = {2025},
}

@article{20454,
  abstract     = {Context. γ Dor stars are ideal targets for studies of the innermost dynamical properties of stars, due to their rich asteroseismic spectrum of gravity modes. Integrating internal magnetism to the picture appears as the next milestone of detailed asteroseismic studies, for its prime importance on stellar evolution. The inertial dip in prograde dipole modes period-spacing pattern of γ Dors stands out as a unique window on the convective core structure and dynamics. Recent studies have highlighted the dependence of the dip structure on core density stratification, the contrast of the near-core Brunt-Väisälä frequency and rotation rate, as well as the core-to-near-core differential rotation. In addition, the effect of envelope magnetism has been derived on low-frequency magneto-gravito-inertial waves.

Aims. We revisited the inertial dip formation including core and envelope magnetism, and explored the probing power of this feature on dynamo-generated core fields.

Methods. We considered as a first step a toroidal magnetic field with a bi-layer (core and envelope) Alfvén frequency. This configuration allowed us to revisit the coupling problem using our knowledge on both core magneto-inertial modes and envelope magneto-gravito-inertial modes. Using this configuration, we were able to stay in an analytical framework to exhibit the magnetic effects on the inertial dip shape and location. This configuration allowed a laboratory to be set up that moves us towards the comprehension of magnetic effects on the dip structure.

Results. We show a shift of the inertial dip towards lower spin parameter values and a thinner dip with increasing core magnetic field’s strength, quite similar to the signature of differential rotation. The magnetic effects become sizeable when the ratio of the magnetic to the Coriolis effects is high enough. We explored the potential degeneracy of the magnetic effects with differential rotation. We studied the detectability of core magnetism, considering both observational constraints on the periods of the modes and potential gravito-inertial mode suppression.},
  author       = {Barrault, Lucas and Bugnet, Lisa Annabelle and Mathis, S. and Mombarg, J. S.G.},
  issn         = {1432-0746},
  journal      = {Astronomy & Astrophysics},
  publisher    = {EDP Sciences},
  title        = {{Exploring the probing power of γ Dor's inertial dip for core magnetism: The case of a toroidal field}},
  doi          = {10.1051/0004-6361/202555213},
  volume       = {701},
  year         = {2025},
}

@inproceedings{20455,
  abstract     = {Despite extensive research since the community learned about adversarial examples 10 years ago, we still do not know how to train high-accuracy classifiers that are guaranteed to be robust to small perturbations of their inputs. Previous works often argued that this might be because no classifier exists that is robust and accurate at the same time. However, in computer vision this assumption does not match reality where humans are usually accurate and robust on most tasks of interest. We offer an alternative explanation and show that in certain settings robust generalization is only possible with unrealistically large amounts of data. Specifically, we find a setting where a robust classifier exists, it is easy to learn an accurate classifier, yet it requires an exponential amount of data to learn a robust classifier. Based on this theoretical result, we evaluate the influence of the amount of training data on datasets such as CIFAR10. Our findings indicate that the the amount of training data is the main factor determining the robust performance. Furthermore we show that that there are low magnitude directions in the data which are useful for non-robust generalization but are not available for robust classifiers. This implies that robust classification is a strictly harder tasks than normal classification, thereby providing an explanation why robust classification requires more data.},
  author       = {Prach, Bernd and Lampert, Christoph},
  booktitle    = {2025 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops},
  isbn         = {9798331599942},
  issn         = {2160-7516},
  location     = {Nashville, TN, United States},
  pages        = {660--669},
  publisher    = {IEEE},
  title        = {{Intriguing properties of robust classification}},
  doi          = {10.1109/CVPRW67362.2025.00071},
  year         = {2025},
}

@article{20457,
  abstract     = {Patch-clamp recording of miniature postsynaptic currents (mPSCs, or ‘minis’) is used extensively to investigate the functional properties of synapses. With this approach, spontaneous synaptic transmission events are recorded in an attempt to determine quantal synaptic parameters or the effect of synaptic manipulations. However, at the majority of brain synapses these events are small, with many undetectable due to recording noise. The effects of incomplete detection were well appreciated in the early years of synaptic physiology analysis, but appear to be increasingly forgotten. Here we sought to characterise the consequences of incomplete detection on the interpretability of mini analysis, using simulated mPSC data to give full control over event parameters. We demonstrate that commonly reported measures such as mean event amplitude and frequency, are misrepresented by the loss of undetected events. Probabilistic loss of small events results in detected event amplitude distributions that appear biologically complete, yet do not reflect the underlying synaptic properties. With both simulated and experimental datasets, we demonstrate that specific changes in event amplitude are primarily detected as changes in frequency, compromising classical biological interpretations. To facilitate more robust data analysis and interpretation, we detail a means for experimental estimation of the event detection limit and provide practical recommendations for data analysis. Together, our study highlights how mini analysis is prone to falsely reporting synaptic changes, raising awareness of these considerations, and provides a framework for more robust data analysis and interpretation.},
  author       = {Greger, Ingo H. and Watson, Jake},
  issn         = {1469-7793},
  journal      = {Journal of Physiology},
  number       = {22},
  pages        = {7189--7205},
  publisher    = {Wiley},
  title        = {{‘Mini analysis’ misrepresents changes in synaptic properties due to incomplete event detection}},
  doi          = {10.1113/JP288183},
  volume       = {603},
  year         = {2025},
}

@article{20477,
  abstract     = {An electric double-layer capacitor (EDLC) stores energy by modulating the spatial distribution of ions in the electrolytic solution that it contains. We determine the mean-field timescales for planar EDLC relaxation to equilibrium after a potential difference is applied. We tackle first the fully symmetric case, where positive and negative ionic species have the same valence and diffusivity, and then the general, more complex, asymmetric case. Depending on the applied voltage and salt concentration, different regimes appear, revealing a remarkably rich phenomenology relevant for nanocapacitors.},
  author       = {Palaia, Ivan and Asta, Adelchi J. and Dutta, Megh and Warren, Patrick B. and Rotenberg, Benjamin and Trizac, Emmanuel},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  number       = {14},
  publisher    = {American Physical Society},
  title        = {{Charging dynamics of electric double-layer nanocapacitors in mean field}},
  doi          = {10.1103/72b9-c8cq},
  volume       = {135},
  year         = {2025},
}

@article{20478,
  abstract     = {We consider the Wigner minor process, i.e. the eigenvalues of an N\times N Wigner matrix H^{(N)} together with the eigenvalues of all its n\times n minors, H^{(n)}, n\le N. The top eigenvalues of H^{(N)} and those of its immediate minor H^{(N-1)} are very strongly correlated, but this correlation becomes weaker for smaller minors H^{(N-k)} as k increases. For the GUE minor process the critical transition regime around k\sim N^{2/3} was analyzed by Forrester and Nagao (J. Stat. Mech.: Theory and Experiment, 2011) providing an explicit formula for the nontrivial joint correlation function. We prove that this formula is universal, i.e. it holds for the Wigner minor process. Moreover, we give a complete analysis of the sub- and supercritical regimes both for eigenvalues and for the corresponding eigenvector overlaps, thus we prove the decorrelation transition in full generality.},
  author       = {Bao, Zhigang and Cipolloni, Giorgio and Erdös, László and Henheik, Sven Joscha and Kolupaiev, Oleksii},
  issn         = {1432-2064},
  journal      = {Probability Theory and Related Fields},
  publisher    = {Springer Nature},
  title        = {{Decorrelation transition in the Wigner minor process}},
  doi          = {10.1007/s00440-025-01422-4},
  year         = {2025},
}

@article{20479,
  abstract     = {Genetic variation is generally regarded as a prerequisite for evolution. In principle, epigenetic information inherited independently of DNA sequence can also enable evolution, but whether this occurs in natural populations is unknown. Here we show that single-nucleotide and epigenetic gene body DNA methylation (gbM) polymorphisms explain comparable amounts of expression variance in <jats:italic>Arabidopsis thaliana</jats:italic> populations. We genetically demonstrate that gbM regulates transcription, and we identify and genetically validate many associations between gbM polymorphism and the variation of complex traits: fitness under heat and drought, flowering time and accumulation of diverse minerals. Epigenome-wide association studies pinpoint trait-relevant genes with greater precision than genetic association analyses, probably due to reduced linkage disequilibrium between gbM variants. Finally, we identify numerous associations between gbM epialleles and diverse environmental conditions in native habitats, suggesting that gbM facilitates adaptation. Overall, our results indicate that epigenetic methylation variation fundamentally shapes phenotypic diversity in a natural population.},
  author       = {Shahzad, Zaigham and Hollwey, Elizabeth and Moore, Jonathan D. and Choi, Jaemyung and Cassin-Ross, Gaëlle and Rouached, Hatem and Robinson, Matthew Richard and Zilberman, Daniel},
  issn         = {2055-0278},
  journal      = {Nature Plants},
  pages        = {2084--2099},
  publisher    = {Springer Nature},
  title        = {{Gene body methylation regulates gene expression and mediates phenotypic diversity in natural Arabidopsis populations}},
  doi          = {10.1038/s41477-025-02108-4},
  volume       = {11},
  year         = {2025},
}

@article{20480,
  abstract     = {Recent studies have argued that air temperatures over many mountain glaciers are decoupled from their surroundings, leading to a local cooling which could slow down melting. Here we use a compilation of on-glacier meteorological observations to assess the extent to which this relationship changes under warming. Statistical modelling of the potential temperature decoupling of the world’s mountain glaciers indicates that currently glacier boundary layers warm ~0.83 °C on average for every degree of ambient temperature rise. Future projections under shared socioeconomic pathway (SSP) climate scenarios SSP 2-4.5 and SSP 5-8.5 indicate that decoupling, and thus relative cooling over glaciers, is maximized during the 2020s and 2030s, before widespread glacier retreat acts to recouple above-glacier air temperatures with its surroundings. This nonlinear feedback will lead to an increased sensitivity to warming from midcentury, with glaciers losing their capacity to affect the local climate and cool themselves.},
  author       = {Shaw, Thomas and Miles, Evan S. and McCarthy, Michael and Buri, Pascal and Guyennon, Nicolas and Salerno, Franco and Carturan, Luca and Brock, Benjamin and Pellicciotti, Francesca},
  issn         = {1758-6798},
  journal      = {Nature Climate Change},
  pages        = {1212--1218},
  publisher    = {Springer Nature},
  title        = {{Mountain glaciers recouple to atmospheric warming over the twenty-first century}},
  doi          = {10.1038/s41558-025-02449-0},
  volume       = {15},
  year         = {2025},
}

