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1609.03979
Zoran Petric
Djordje Baralic, Zoran Petric and Sonja Telebakovic
Spheres as Frobenius objects
32 pages. Some minor corrections
null
null
null
math.CT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Following the pattern of the Frobenius structure usually assigned to the 1-dimensional sphere, we investigate the Frobenius structures of spheres in all other dimensions. Starting from dimension $d=1$, all the spheres are commutative Frobenius objects in categories whose arrows are ${(d+1)}$-dimensional cobordisms. With respect to the language of Frobenius objects, there is no distinction between these spheres---they are all free of additional equations formulated in this language. The corresponding structure makes out of the 0-dimensional sphere not a commutative but a symmetric Frobenius object. This sphere is mapped to a matrix Frobenius algebra by a 1-dimensional topological quantum field theory, which corresponds to the representation of a class of diagrammatic algebras given by Richard Brauer.
[ { "version": "v1", "created": "Tue, 13 Sep 2016 19:01:16 GMT" }, { "version": "v2", "created": "Wed, 14 Sep 2016 12:44:45 GMT" }, { "version": "v3", "created": "Sat, 17 Sep 2016 19:18:49 GMT" }, { "version": "v4", "created": "Mon, 28 Aug 2017 07:43:07 GMT" }, { "version": "v5", "created": "Wed, 18 Jul 2018 10:01:22 GMT" } ]
2018-07-19T00:00:00
[ [ "Baralic", "Djordje", "" ], [ "Petric", "Zoran", "" ], [ "Telebakovic", "Sonja", "" ] ]
"LnEcfoLDCMjRcNO//VLw+2Ar5pQUZ7MLVRdCfV//z1QKSFpYDSdI3myVOvUBQbCiwH/xjz+EfkWg71wk2AhdULOVI8ETcFGOHPgEbQ0mHP2f2BzAS4g4vrg5olctBZwZFSe3v8/zgM9ixR/pou9HA0fa1iV+zaPSCVbUNjk6gzo="
2402.08343
Elie Saad
Elie Saad, Mariem Besbes, Marc Zolghadri, Victor Czmil, Vincent Bourgeois
A New Hybrid Approach for Identifying Obsolescence Features: Applied to Railway Signaling Infrastructure
null
null
null
null
eess.SY cs.SY
http://creativecommons.org/licenses/by/4.0/
Electrical component obsolescence poses a major issue especially within systems with large life cycles. Thus, finding the optimal management solution for each obsolescence case is as crucial as knowing what to consider when faced with an obsolescence case. In this paper, a novel hybrid approach for identifying features affecting electrical component obsolescence management is introduced, which combines features engineering techniques and expert knowledge. The method then uses machine learning to predict obsolescence resolution techniques in order to find the optimal resolution. The motivation behind this research is driven by the imperative need for SNCF RESEAU to optimally address and mitigate the challenges posed by electrical component obsolescence in railway infrastructure.
[ { "version": "v1", "created": "Tue, 13 Feb 2024 10:15:20 GMT" } ]
2024-02-14T00:00:00
[ [ "Saad", "Elie", "" ], [ "Besbes", "Mariem", "" ], [ "Zolghadri", "Marc", "" ], [ "Czmil", "Victor", "" ], [ "Bourgeois", "Vincent", "" ] ]
"QskOTCgiEtrwDNofLSM7Iw7/Y7flu5tzxlNw4tn/sJzM5FJ9QUBNGE6Fe2G38KbolEzdr5xO2E3Kmm0tYWo4gK0WooSUxUWmlL60rHeiZlih/4HgEoKqJ0iqr5gbBa6Y36s39ZiynX7mZJNlBOYGFd3gHah+ebIsPELWlB+eVj8="
1912.13340
Huangxin Chen
Huangxin Chen, Shuyu Sun
A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media
null
null
null
null
math.NA cs.NA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work we consider a new efficient IMplicit Pressure Explicit Saturation (IMPES) scheme for the simulation of incompressible and immiscible two-phase flow in heterogeneous porous media with capillary pressure. Compared with the conventional IMPES schemes, the new IMPES scheme is inherently physics-preserving, namely, the new algorithm is locally mass conservative for both phases and it also enjoys another appealing feature that the total velocity is continuous in the normal direction. Moreover, the new scheme is unbiased with regard to the two phases and the saturations of both phases are bounds-preserving if the time step size is smaller than a certain value. The key ideas in the new scheme include that the Darcy flows for both phases are rewritten in the formulation based on the total velocity and an auxiliary velocity referring to as the capillary potential gradient, and the total discretized conservation equation is obtained by the summation of the discretized conservation equation for each phase. The upwind strategy is applied to update the saturations explicitly, and the upwind mixed finite element methods are used to solve the pressure-velocity systems which can be decoupled. We also present some interesting examples to demonstrate the efficiency and robustness of the new algorithm.
[ { "version": "v1", "created": "Tue, 31 Dec 2019 15:07:55 GMT" } ]
2020-01-01T00:00:00
[ [ "Chen", "Huangxin", "" ], [ "Sun", "Shuyu", "" ] ]
"XPsAbzzpsYbYXnM9XWkdcyfzZHGUK+veRNUn+XP88FVNQFtZYEjdWGbFoyGZ0aPj4I+Zh9MI3E+sNH3oQsKdBRkMoMQT50SGEfygSBujJm2i7wUAOYOhqrW6+lsIAOEofjK1XLqChOrCAf9ZJX8QI8/ZHSd3XZLkSmfUF5RXQjo="
2503.03450
Pascal Peter
Julia Gierke and Pascal Peter
Skeletonisation Scale-Spaces
null
null
null
null
eess.IV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The medial axis transform is a well-known tool for shape recognition. Instead of the object contour, it equivalently describes a binary object in terms of a skeleton containing all centres of maximal inscribed discs. While this shape descriptor is useful for many applications, it is also sensitive to noise: Small boundary perturbations can result in large unwanted expansions of the skeleton. Pruning offers a remedy by removing unwanted skeleton parts. In our contribution, we generalise this principle to skeleton sparsification: We show that subsequently removing parts of the skeleton simplifies the associated shape in a hierarchical manner that obeys scale-space properties. To this end, we provide both a continuous and discrete theory that incorporates architectural and simplification statements as well as invariances. We illustrate how our skeletonisation scale-spaces can be employed for practical applications with two proof-of-concept implementations for pruning and compression.
[ { "version": "v1", "created": "Wed, 5 Mar 2025 12:27:26 GMT" } ]
2025-03-06T00:00:00
[ [ "Gierke", "Julia", "" ], [ "Peter", "Pascal", "" ] ]
"rOkIfIinBaooF8O3fyLxK2AJIxacW7sLxEdm7P19vxXD8CIJRQhteMaHe0/nwran5QZRHx2o+o2oqGihQfs41FmbgcQRS+yMELuEbRZydN2Fv5zKBoD6LRcT4Zo7JT+JB6M1OfY6jezGRRdcJm1GH9/fHKx+vbIRDJNSFix6hj8="
2208.08982
Pierre-Olivier C\^ot\'e
Pierre-Olivier C\^ot\'e, Amin Nikanjam, Rached Bouchoucha, Foutse Khomh
Quality issues in Machine Learning Software Systems
Accepted as a registered report by ICSME 2022
null
null
null
cs.SE cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Context: An increasing demand is observed in various domains to employ Machine Learning (ML) for solving complex problems. ML models are implemented as software components and deployed in Machine Learning Software Systems (MLSSs). Problem: There is a strong need for ensuring the serving quality of MLSSs. False or poor decisions of such systems can lead to malfunction of other systems, significant financial losses, or even threat to human life. The quality assurance of MLSSs is considered as a challenging task and currently is a hot research topic. Moreover, it is important to cover all various aspects of the quality in MLSSs. Objective: This paper aims to investigate the characteristics of real quality issues in MLSSs from the viewpoint of practitioners. This empirical study aims to identify a catalog of bad-practices related to poor quality in MLSSs. Method: We plan to conduct a set of interviews with practitioners/experts, believing that interviews are the best method to retrieve their experience and practices when dealing with quality issues. We expect that the catalog of issues developed at this step will also help us later to identify the severity, root causes, and possible remedy for quality issues of MLSSs, allowing us to develop efficient quality assurance tools for ML models and MLSSs.
[ { "version": "v1", "created": "Thu, 18 Aug 2022 17:55:18 GMT" }, { "version": "v2", "created": "Mon, 22 Aug 2022 17:43:10 GMT" } ]
2022-08-23T00:00:00
[ [ "Côté", "Pierre-Olivier", "" ], [ "Nikanjam", "Amin", "" ], [ "Bouchoucha", "Rached", "" ], [ "Khomh", "Foutse", "" ] ]
"6lkIfIgjOEzRCfpXHWkcayz9AeZcp8OhRlVy8jP9/BzEcBI9SsptGmSPG7tfcKSvhUe5LDmOCE+rummpYUS7iKWUKORZz1C4BrwSbNqicI2pORXgFqOaDUuX/RqOID/I7qsX9ZDmj3yn1J90Z2+UC53QnCh/UjJVHEtQCJGLZr8="
math/0202068
Reidun Twarock
P.N. Pyatov and R. Twarock
Construction of Diffusion Algebras
(13 pages, submitted to J. Math. Phys.)
null
10.1063/1.1473220
null
math.QA cond-mat.stat-mech
null
In cond-mat/0103603 Diffusion algebras have been introduced in the context of one-dimensional stochastic processes with exclusion in statistical mechanics. While this reference is focused on the needs of the physicist reader and thus states results without proofs and focuses on the discussion of lower-dimensional examples, it is the purpose of this paper to present a construction formalism for Diffusion algebras and to use the latter to prove the results in that reference.
[ { "version": "v1", "created": "Fri, 8 Feb 2002 18:33:09 GMT" } ]
2015-06-26T00:00:00
[ [ "Pyatov", "P. N.", "" ], [ "Twarock", "R.", "" ] ]
"6HkYfoqhGVrYcNl75XL8809r5HQUBrONVldh6Z9/9RjfYAtZaGZNWEwTOu2xgLFn0g35A2uMWAWQ4nygUEg/QDsW48QTx1GeFJ9waPEudtmf/TXA4YEoLoybstYOBEiYjqe1nlrvhu/mRZ/uIubHI83a3St+SKI0T2KcT/saF7g="
1506.06213
Walaa Hamouda
Abdelmohsen Ali and Walaa Hamouda
Spectrum Monitoring Using Energy Ratio Algorithm For OFDM-Based Cognitive Radio Networks
null
null
null
null
cs.IT cs.NI math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents a spectrum monitoring algorithm for Orthogonal Frequency Division Multiplexing (OFDM) based cognitive radios by which the primary user reappearance can be detected during the secondary user transmission. The proposed technique reduces the frequency with which spectrum sensing must be performed and greatly decreases the elapsed time between the start of a primary transmission and its detection by the secondary network. This is done by sensing the change in signal strength over a number of reserved OFDM sub-carriers so that the reappearance of the primary user is quickly detected. Moreover, the OFDM impairments such as power leakage, Narrow Band Interference (NBI), and Inter-Carrier Interference (ICI) are investigated and their impact on the proposed technique is studied. Both analysis and simulation show that the \emph{energy ratio} algorithm can effectively and accurately detect the appearance of the primary user. Furthermore, our method achieves high immunity to frequency-selective fading channels for both single and multiple receive antenna systems, with a complexity that is approximately twice that of a conventional energy detector.
[ { "version": "v1", "created": "Sat, 20 Jun 2015 09:07:11 GMT" } ]
2015-06-23T00:00:00
[ [ "Ali", "Abdelmohsen", "" ], [ "Hamouda", "Walaa", "" ] ]
"cPgETonh0B5+WYJUP3Lz82y5U3SA9NviGFMT+R3+9lzjYMLd+pRtDq4Hu/E28K3vFB/3S12oOgwJgFIkY149lEmGisS6xHSGp3goadomOyW7WT2gboDioky6ohCZpa6YjAEVv+KEjGyAQLtjoOZHsVXSmjh/d/IfTmtW31MOf54="
2501.05345
Matthew Brehmer
Matthew Brehmer
Video-Conferencing Beyond Screen-Sharing and Thumbnail Webcam Videos: Gesture-Aware Augmented Reality Video for Data-Rich Remote Presentations
Position paper for the ACM GROUP '25 Workshop on "Beyond Video-Conferencing": Telepresence Technologies for Extending Expertise Reach and Specialised Skill Sharing, January 12, 2025 in Hilton Head Island, South Carolina
null
null
null
cs.HC
http://creativecommons.org/licenses/by/4.0/
Synchronous data-rich conversations are commonplace within enterprise organizations, taking place at varying degrees of formality between stakeholders at different levels of data literacy. In these conversations, representations of data are used to analyze past decisions, inform future course of action, as well as persuade customers, investors, and executives. However, it is difficult to conduct these conversations between remote stakeholders due to poor support for presenting data when video-conferencing, resulting in disappointing audience experiences. In this position statement, I reflect on our recent work incorporating multimodal interaction and augmented reality video, suggesting that video-conferencing does not need to be limited to screen-sharing and relegating a speaker's video to a separate thumbnail view. I also comment on future research directions and collaboration opportunities.
[ { "version": "v1", "created": "Thu, 9 Jan 2025 16:21:12 GMT" } ]
2025-01-10T00:00:00
[ [ "Brehmer", "Matthew", "" ] ]
"2N8MfohmojqlovKT1UiVGwTz18lUO3ORdkVifnV+q5zFEAsdckRNmAQGOmr25bSj01rxQzOMmkeZqkwJdNFhgHsUO8DaxUyMADlALJZ2VByhPxXwEKyuKZ6R5BoPRXqYzNs3vfCiC/YvxFN1B+UGC4//Cq57SJDgTctU3RqbKqM="
2011.10282
Hang Liu
Hang Liu, Xiaojun Yuan, Ying-Jun Angela Zhang
Reconfigurable Intelligent Surface Enabled Federated Learning: A Unified Communication-Learning Design Approach
Simulation codes are available at https://github.com/liuhang1994/RIS-FL. This work has been accepted by IEEE Transactions on Wireless Communications
null
null
null
cs.IT cs.LG cs.NI eess.SP math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
To exploit massive amounts of data generated at mobile edge networks, federated learning (FL) has been proposed as an attractive substitute for centralized machine learning (ML). By collaboratively training a shared learning model at edge devices, FL avoids direct data transmission and thus overcomes high communication latency and privacy issues as compared to centralized ML. To improve the communication efficiency in FL model aggregation, over-the-air computation has been introduced to support a large number of simultaneous local model uploading by exploiting the inherent superposition property of wireless channels. However, due to the heterogeneity of communication capacities among edge devices, over-the-air FL suffers from the straggler issue in which the device with the weakest channel acts as a bottleneck of the model aggregation performance. This issue can be alleviated by device selection to some extent, but the latter still suffers from a tradeoff between data exploitation and model communication. In this paper, we leverage the reconfigurable intelligent surface (RIS) technology to relieve the straggler issue in over-the-air FL. Specifically, we develop a learning analysis framework to quantitatively characterize the impact of device selection and model aggregation error on the convergence of over-the-air FL. Then, we formulate a unified communication-learning optimization problem to jointly optimize device selection, over-the-air transceiver design, and RIS configuration. Numerical experiments show that the proposed design achieves substantial learning accuracy improvement compared with the state-of-the-art approaches, especially when channel conditions vary dramatically across edge devices.
[ { "version": "v1", "created": "Fri, 20 Nov 2020 08:54:13 GMT" }, { "version": "v2", "created": "Tue, 8 Dec 2020 14:59:36 GMT" }, { "version": "v3", "created": "Fri, 19 Mar 2021 09:25:59 GMT" }, { "version": "v4", "created": "Tue, 1 Jun 2021 14:47:11 GMT" } ]
2024-10-30T00:00:00
[ [ "Liu", "Hang", "" ], [ "Yuan", "Xiaojun", "" ], [ "Zhang", "Ying-Jun Angela", "" ] ]
"XPtIPozsEgrYPdI9rUHnYSY7A/fEsdLTWFcybjd//Fjl5Aud8NRtWgwGC/kEV6Ln1161Cz2MGmm4yF2tc0Q9QEESIFB4w0SklpCAqN9nAG2APz/IfgGqrVyb4poaDbyprKgV1bqun3KHIL95ZWWGl8/+Eyx/d/NFSEtWntsSXr0="
cond-mat/9711204
Sebastian Eggert
Ann E. Mattsson, Sebastian Eggert, Henrik Johannesson (Chalmers TH, Gothenburg, Sweden)
Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size
18 pages in revtex format including 5 embedded figures (using epsf). The latest complete postscript file is available from http://fy.chalmers.se/~eggert/papers/longlutt.ps or by request from eggert@fy.chalmers.se. To appear in Phys. Rev. B (Dec. 1997)
Phys. Rev. B56, p.15615 (1997).
10.1103/PhysRevB.56.15615
null
cond-mat.str-el
null
We use bosonization methods to calculate the exact finite-temperature single-electron Green's function of a spinful Luttinger liquid confined by open boundaries. The corresponding local spectral density is constructed and analyzed in detail. The interplay between boundary, finite-size and thermal effects are shown to dramatically influence the low-energy properties of the system. In particular, the well-known zero-temperature critical behavior in the bulk always crosses over to a boundary dominated regime in the vicinity of the Fermi level. Thermal fluctuations cause an enhanced depletion of spectral weight for small energies E, with the spectral density scaling as E^2 for E much less than the temperature. Consequences for photoemission experiments are discussed.
[ { "version": "v1", "created": "Thu, 20 Nov 1997 08:05:49 GMT" } ]
2009-10-30T00:00:00
[ [ "Mattsson", "Ann E.", "", "Chalmers TH,\n Gothenburg, Sweden" ], [ "Eggert", "Sebastian", "", "Chalmers TH,\n Gothenburg, Sweden" ], [ "Johannesson", "Henrik", "", "Chalmers TH,\n Gothenburg, Sweden" ] ]
"OmmAXjarm2LYCAB5h3DYs60rfbTIrsNFRBcOeSl+eVnE0Vp5WGRJOgaPO7GQcqWjwwrxa2A8SkGpPV+g2Ug1ajG26PEW51O0HjEAaHcmANjBXIwIWUqpPAepNtoMKrwpjj5lj/4jh/72lf7v76YFiozadid8GcMwS5rSjHgTCrg="
1809.00487
Toshikazu Shigeyama
Toshikazu Shigeyama and Kazumi Kashiyama
Repulsion of fallback matter due to central energy source in supernova
18 pages, 5 figures, 1 table, PASJ accepted
null
10.1093/pasj/psy108
null
astro-ph.SR astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The flow of fallback matter being shocked and repelled back by an energy deposition from a central object is discussed by using newly found self-similar solutions. We show that there exists a maximum mass accretion rate if the adiabatic index of the flow is less than or equal to 4/3. Otherwise we can find a solution with an arbitrarily large accretion rate by appropriately shrinking the energy deposition region. Applying the self-similar solution to supernova fallback, we discuss how the fate of newborn pulsars or magnetars depends on the fallback accretion and their spin-down power. Combining the condition for the fallback accretion to bury the surface magnetic field into the crust, we argue that supernova fallback with a rate of dM_{fb}/dt ~ 10^{-(4-6)} M_sun /s could be the main origin of the diversity of Galactic young neutron stars, i.e., rotation-powered pulsars, magnetars, and central compact objects.
[ { "version": "v1", "created": "Mon, 3 Sep 2018 08:24:27 GMT" }, { "version": "v2", "created": "Wed, 5 Sep 2018 06:31:03 GMT" } ]
2018-10-17T00:00:00
[ [ "Shigeyama", "Toshikazu", "" ], [ "Kashiyama", "Kazumi", "" ] ]
"8EiAfLqnis5R3Os3FWP0ym/rZESwn5MNQsNunZvktxTA3ChleixJcyaeWyH4QrTqsAy8h3esXtwJJh8k2UAJhXGQqUQTx1H2HDmkafakEnHR3k4Aa4EorL2Krh2PBDyIGh83nQsUgV/iZY9ptWZUJ83bvYx3VrPkSBPcBLAcpno="
2004.11795
Xiaonan Li
Xiaonan Li, Hang Yan, Xipeng Qiu, Xuanjing Huang
FLAT: Chinese NER Using Flat-Lattice Transformer
Accepted to the ACL 2020
null
null
null
cs.CL
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, the character-word lattice structure has been proved to be effective for Chinese named entity recognition (NER) by incorporating the word information. However, since the lattice structure is complex and dynamic, most existing lattice-based models are hard to fully utilize the parallel computation of GPUs and usually have a low inference-speed. In this paper, we propose FLAT: Flat-LAttice Transformer for Chinese NER, which converts the lattice structure into a flat structure consisting of spans. Each span corresponds to a character or latent word and its position in the original lattice. With the power of Transformer and well-designed position encoding, FLAT can fully leverage the lattice information and has an excellent parallelization ability. Experiments on four datasets show FLAT outperforms other lexicon-based models in performance and efficiency.
[ { "version": "v1", "created": "Fri, 24 Apr 2020 15:27:49 GMT" }, { "version": "v2", "created": "Sat, 23 May 2020 05:05:03 GMT" } ]
2020-06-01T00:00:00
[ [ "Li", "Xiaonan", "" ], [ "Yan", "Hang", "" ], [ "Qiu", "Xipeng", "" ], [ "Huang", "Xuanjing", "" ] ]
"LuAM/simHN5IAWMbXUPVi3B5ZdmUFaiD1mNzTn1/ORzG8EEBWVNt2A4Ne6XP4KSnxU75tzGMlmmJMUy5UUg5SROaI0RxykaIBLEE6pYmdEn3fJXKArX0PIqD/YsZBTuhTq+3Cb4KT3yyQPdqJ05UG43qTC9/UqLJZIJUHqFqzrw="
1701.01273
Miguel Angel Javaloyes
Miguel Angel Javaloyes and Miguel S\'anchez
Wind Riemannian spaceforms and Randers metrics of constant flag curvature
17 pages, 4 figures
Eur. J. Math. 3 (2017), 1225-1244
10.1007/s40879-017-0186-9
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, wind Riemannian structures (WRS) have been introduced as a generalization of Randers and Kropina metrics. They are constructed from the natural data for Zermelo navigation problem, namely, a Riemannian metric $g_R$ and a vector field $W$ (the wind), where, now, the restriction of mild wind $g_R(W,W)<1$ is dropped. Here, the models of WRS spaceforms of constant flag curvature are determined. Indeed, the celebrated classification of Randers metrics of constant flag curvature by Bao, Robles and Shen, extended to the Kropina case in the works by Yoshikawa, Okubo and Sabau, can be used to obtain the local classification. For the global one, a suitable result on completeness for WRS yields the complete simply connected models. In particular, any of the local models in the Randers classification does admit an extension to a unique model of wind Riemannian structure, even if it cannot be extended as a complete Finslerian manifold. Thus, WRS's emerge as the natural framework for the analysis of Randers spaceforms and, prospectively, wind Finslerian structures would become important for other global problems too. For the sake of completeness, a brief overview about WRS (including a useful link with the conformal geometry of a class of relativistic spacetimes) is also provided.
[ { "version": "v1", "created": "Thu, 5 Jan 2017 10:47:06 GMT" } ]
2018-05-22T00:00:00
[ [ "Javaloyes", "Miguel Angel", "" ], [ "Sánchez", "Miguel", "" ] ]
"z3sMfgKzC8hZFNPTfVPlUW9rYmI1L1MpRVdjT53//lgoSEplCgjN3iyHu6WVwajC4A91j0OMPkUd4V6pSEhNGFMYgMVRQlewGPwkSMdmHG2BehVgb4A5vaypAt+/AKypkbHn/5JzjQ/mw5956m9GYweLhgV3zfPgKF/WNDQKrjo="
2201.10008
Andreia Fonseca Silva
Andreia F Silva, Tiffany A Wood, Daniel J M Hodgson, John R Royer, Job H J Thijssen, Alex Lips, Wilson C K Poon
Rheological design of thickened alcohol-based hand rubs
10 pages, 8 figures
null
10.1007/s00397-022-01347-y
null
cond-mat.soft
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The handleability and sensory perception of hand sanitisers by consumers affect the hygiene outcome. Spillage may result in under-dosing and poor sensory properties can lead to under-utilisation. We first propose four principles (low run off, spreadability, smoothness and non-stickiness) for designing the rheology of thickened alcohol-based hand rubs with acceptable handleability and hand feel. We then evaluate a commercial hand gel and a variety of simplified formulations thickened with microgels (Carbopol 974P, Carbopol Ultrez 20 and Sepimax Zen), or linear polymers (Jaguar HP 120 COS), and evaluate them against these design criteria. All four additives provide acceptable spreadability by shear thinning to $\eta \approx 10^{-1} Pa \, s$ at $\dot\gamma \sim 10^3 s^{-1}$. Either the finite yield stress conferred by the microgels ($\sigma_y \gtrsim 10 Pa$) or the increase in low-shear viscosity provided by the linear polymer ($\eta \gtrsim 1 Pa \, s$ at $\dot\gamma \lesssim 0.1 s^{-1}$) give rise to acceptably low run-off. However, the formulation using the linear polymer shows a filament breakage time of $\tau_{\rm b} \approx 1 s$ in capillary rheology, which may result in stickiness and therefore a less than optimal hand feel.
[ { "version": "v1", "created": "Mon, 24 Jan 2022 23:46:44 GMT" }, { "version": "v2", "created": "Thu, 5 May 2022 10:42:01 GMT" } ]
2023-03-27T00:00:00
[ [ "Silva", "Andreia F", "" ], [ "Wood", "Tiffany A", "" ], [ "Hodgson", "Daniel J M", "" ], [ "Royer", "John R", "" ], [ "Thijssen", "Job H J", "" ], [ "Lips", "Alex", "" ], [ "Poon", "Wilson C K", "" ] ]
"9lGITICmOVzIHHX5f3M98y51LFUVq7PLRAYwQtX/xR2dlAscdURIXGaF6Wj0k6DjRAfZBcmMHp+p6G+8aGQJEX0VIKQT9XSWHDeibLi0HtCxfJxgY6KbLYm0vVvMBDapSLInFuK6jtDaRcdtJieEAs3YnS19LxRtTeGUkx3aHjA="
2507.17859
Lyes Saad Saoud Dr
Muayad Abujabal, Lyes Saad Saoud, and Irfan Hussain
FishDet-M: A Unified Large-Scale Benchmark for Robust Fish Detection and CLIP-Guided Model Selection in Diverse Aquatic Visual Domains
null
null
null
null
cs.CV cs.RO
http://creativecommons.org/licenses/by-nc-nd/4.0/
Accurate fish detection in underwater imagery is essential for ecological monitoring, aquaculture automation, and robotic perception. However, practical deployment remains limited by fragmented datasets, heterogeneous imaging conditions, and inconsistent evaluation protocols. To address these gaps, we present \textit{FishDet-M}, the largest unified benchmark for fish detection, comprising 13 publicly available datasets spanning diverse aquatic environments including marine, brackish, occluded, and aquarium scenes. All data are harmonized using COCO-style annotations with both bounding boxes and segmentation masks, enabling consistent and scalable cross-domain evaluation. We systematically benchmark 28 contemporary object detection models, covering the YOLOv8 to YOLOv12 series, R-CNN based detectors, and DETR based models. Evaluations are conducted using standard metrics including mAP, mAP@50, and mAP@75, along with scale-specific analyses (AP$_S$, AP$_M$, AP$_L$) and inference profiling in terms of latency and parameter count. The results highlight the varying detection performance across models trained on FishDet-M, as well as the trade-off between accuracy and efficiency across models of different architectures. To support adaptive deployment, we introduce a CLIP-based model selection framework that leverages vision-language alignment to dynamically identify the most semantically appropriate detector for each input image. This zero-shot selection strategy achieves high performance without requiring ensemble computation, offering a scalable solution for real-time applications. FishDet-M establishes a standardized and reproducible platform for evaluating object detection in complex aquatic scenes. All datasets, pretrained models, and evaluation tools are publicly available to facilitate future research in underwater computer vision and intelligent marine systems.
[ { "version": "v1", "created": "Wed, 23 Jul 2025 18:32:01 GMT" } ]
2025-07-25T00:00:00
[ [ "Abujabal", "Muayad", "" ], [ "Saoud", "Lyes Saad", "" ], [ "Hussain", "Irfan", "" ] ]
"wM6Me4irEEptidLR/UP0e0Q5Q1bWP/lFHEdmerl++VzC0ARZ1BhteAaXWzk30zbnYU6kHz0pmmshplmFYWgpEAEaKNBTwla4EbrI7f42eE2BPRjCdgC6nJuX6ZsKrD6AjrdXubaSjejGRbd55meEu8+nnql9fLNlXApUD7x/Di8="
2107.00349
Vjosa Preniqi
Vjosa Preniqi, Kyriaki Kalimeri, Charalampos Saitis
Modelling Moral Traits with Music Listening Preferences and Demographics
null
null
null
null
cs.CY
http://creativecommons.org/licenses/by/4.0/
Music is an essential component in our everyday lives and experiences, as it is a way that we use to express our feelings, emotions and cultures. In this study, we explore the association between music genre preferences, demographics and moral values by exploring self-reported data from an online survey administered in Canada. Participants filled in the moral foundations questionnaire, while they also provided their basic demographic information, and music preferences. Here, we predict the moral values of the participants inferring on their musical preferences employing classification and regression techniques. We also explored the predictive power of features estimated from factor analysis on the music genres, as well as the generalist/specialist (GS) score for revealing the diversity of musical choices for each user. Our results show the importance of music in predicting a person's moral values (.55-.69 AUROC); while knowledge of basic demographic features such as age and gender is enough to increase the performance (.58-.71 AUROC).
[ { "version": "v1", "created": "Thu, 1 Jul 2021 10:26:29 GMT" } ]
2021-07-02T00:00:00
[ [ "Preniqi", "Vjosa", "" ], [ "Kalimeri", "Kyriaki", "" ], [ "Saitis", "Charalampos", "" ] ]
"Y+oNfoiGLtqAMnK37WqVaXxlS+FUn6NDZldyALf/dt3n8BitYk11mSaWeXM3WzWrwRrsRx2sisstn14p4Fn5imW2Ioh91kOMA7uoKJYmltU9LRXgM6CafpiJ6UoJR37Zxfo1ff7Yj+vDXNdkTYxUCx2q3CZ/YdOcSLrWijQKHjQ="
1807.09053
Francesco Pisacane
Gaetano Fiore, Francesco Pisacane
New fuzzy spheres through confining potentials and energy cutoffs
Latex file, 13 pages, 2 figures. Contribution to the proceedings of the Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", 2-28 September 2017, Corfu, Greece. Version 3: some misprints in the published version are corrected
Proceedings of Science Volume 318 (2018)
10.22323/1.318.0184
null
math-ph hep-th math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We briefly report our recent construction of new fuzzy spheres of dimensions d=1,2 covariant under the full orthogonal group O(D), D=d+1. They are built by imposing a suitable energy cutoff on a quantum particle in D dimensions subject to a confining potential well V(r) with a very sharp minimum on the sphere of radius r=1; furthermore, the cutoff and the depth of the well depend on (and diverge with) a natural number L. The commutator of the coordinates depends only on the angular momentum, as in Snyder noncommutative spaces. When L diverges, the Hilbert space dimension diverges, too; S^d_L converges to S^d, and we recover ordinary quantum mechanics on S^d. These models might be useful in quantum field theory, quantum gravity or condensed matter physics.
[ { "version": "v1", "created": "Tue, 24 Jul 2018 12:00:46 GMT" }, { "version": "v2", "created": "Fri, 17 Aug 2018 11:49:51 GMT" }, { "version": "v3", "created": "Thu, 19 Dec 2019 19:43:34 GMT" } ]
2019-12-23T00:00:00
[ [ "Fiore", "Gaetano", "" ], [ "Pisacane", "Francesco", "" ] ]
"+3McfoLhmO5QEBPz91Lc+2l7dlSUx9MNVFdifR3/p1xsSBpdSg1t2m6FOuQww6XqoC7Rx3WMfm0IvvqgWAlVBGGcocAXZ1K8HHggbDsmFP2feDxAaIjtKA254g4PJayInLWnvd6tic/mRB/pIm7GIUTaxAF+zYNwKdLUPna+iro="
2412.09931
Daniel Brunner
Daniel Brunner
Reviving holographic photonic integration
null
Reviving holographic photonic integration, Nature Photonic 18, 402 (2024)
10.1038/s41566-024-01432-z
null
physics.optics
http://creativecommons.org/licenses/by/4.0/
Photonic integration of thick holograms in waveguiding structures could be considered the chimera of photonics; multi-faceted and hard to tame. It is the fundamental, and hence indispensable, concept behind compact and monolithically integrated linear optical transformation1. The true relevance of this becomes apparent in the high-dimensional context of unconventional optical computing, that is, in optical neural networks. Yet, integrating such holographic connections is very challenging. It demands high fabrication accuracy, and numerical design of the circuit is often non-tractable for large architectures. Both challenges are intrinsically linked to the usually large refractive index differences between sections of such holographic optical waveguides when using standard techniques of silicon photonics.
[ { "version": "v1", "created": "Fri, 13 Dec 2024 07:32:22 GMT" } ]
2024-12-16T00:00:00
[ [ "Brunner", "Daniel", "" ] ]
"kFOAbYSOFwqwyBW/dTFwuqXzc0VUI+HfUdMPOn1keFBk4E6dYQBtWmYXeews06FHQmj143WMOo0sDH1hKhk1GIOUosIT4VbGAD6AbNZnNXmM/YSADUz6P8yd6NuoBJu4rj61/eryj+PyJIdhJO+HDw3WOIl/2uJoR8PUvkp7Dj4="
1109.5517
Antoni Szczurek
Rafal Maciula, Roman Pasechnik and Antoni Szczurek
New contributions to central exclusive production of dijets in proton-(anti)proton collisions
20 pages, 14 figures
null
10.1103/PhysRevD.84.114014
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider central exclusive production of $gg$ dijets in proton-proton (proton-antiproton) collisions at LHC and Tevatron for different intermediate and final gluon polarisations. The amplitude for the process is derived within the $k_\perp$-factorization approach (with both the standard QCD and the Lipatov's effective three-gluon verticies) and is considered in various kinematical asymptotia, in particular, in the important limit of high-$p_\perp$ jets. Compared to earlier works we include emissions of gluons from different gluonic $t$-channel lines as well as emission of quark-antiquark dijets. Rapidity distributions, gluon jet $p_\perp$ distributions and invariant dijet mass distributions are presented. We explore the competition of the standard diagram with both jets emitted from a single $t$-channel gluon and the one with the emission from both $t$-channel gluons. The second mechanism requires a special treatment. We propose two different approaches. Including special kinematics and using properties of off-diagonal gluons at small $x$ and $\xi$ we arrive to correlations in two-dimensional distributions in rapidity of one and second jet. We find that the second contribution is much smaller than that known from the literature. The digluon production constitutes an important background to exclusive Higgs production.
[ { "version": "v1", "created": "Mon, 26 Sep 2011 10:10:36 GMT" } ]
2015-05-30T00:00:00
[ [ "Maciula", "Rafal", "" ], [ "Pasechnik", "Roman", "" ], [ "Szczurek", "Antoni", "" ] ]
"sVkZ/QykkI5QVdLTfGKscyXLVFGUn7+dRPcru4HjJXy4SUvZUwZFkkySaavw65Gz8JzsJ3+kHk8JMn2ocWo9HZsSqMQZ7VKylDhMqPonGGGZXg+AaoD4PYyK5N28MdiJgDO2NquTB8/Whb/5tsbCg5LK3ot3bpJiy0LYHagcc6o="
astro-ph/9909324
Tsutomu Takeuchi
Tsutomu T. Takeuchi (1) (Department of Astronomy, Kyoto University)
Application of the Information Criterion to the Estimation of Galaxy Luminosity Function
16 pages LaTeX, no figure, accepted by ApSS
Astrophys.Space Sci. 271 (2000) 213-226
10.1023/A:1002438524580
null
astro-ph
null
To determine the exact shape of the luminosity function (LF) of galaxies is one of the central problems in galactic astronomy and observational cosmology. The most popular method to estimate the LF is maximum likelihood, which is clearly understood with the concepts of the information theory. In the field of information theory and statistical inference, great advance has been made by the discovery of Akaike's Information Criterion (AIC). It enables us to perform a direct comparison among different types of models with different numbers of parameters, and provides us a common basis of the model adequacy. In this paper we applied AIC to the determination of the shape of the LF. We first treated the estimation using stepwise LF, and derived a formula to obtain the optimal bin number. In addition, we studied the method to compare the goodness-of-fit of the parametric form with stepwise LF.
[ { "version": "v1", "created": "Sun, 19 Sep 1999 18:20:54 GMT" } ]
2009-10-31T00:00:00
[ [ "Takeuchi", "Tsutomu T.", "" ] ]
"4WAIfprkmPrYHWtfffLceUWJQFCUvzBDVnf7T7/NvVzCUCNVY2xNii6WG3Fc9azj4A41t1WMHs8pHHup0UA9DRuYocR5z0O8ErqkafsiMP3BvxeAZ4C6LJ0Op94rJByJ0CM3vPS8hX+0xfviKIfFQ87Tnqh+FJJ0TFPcCqK4ajQ="
2003.10169
Hari K
Hari K and Dawood Kothawala
Normal coordinates based on curved tangent space
13 pages, 4 figures, comments added and typos fixed, matches version accepted in Phys. Rev. D
Phys. Rev. D 101, 124066 (2020)
10.1103/PhysRevD.101.124066
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Riemann normal coordinates (RNC) at a regular event $p_0$ of a spacetime manifold $\mathcal{M}$ are constructed by imposing: (i) $g_{\textsf{ab}}|_{p_0}=\eta_{ab}$, and (ii) $\Gamma^\textsf{a}_{\phantom{\textsf a}\textsf{bc}}|_{p_0}=0$. There is, however, a third, $independent$, assumption in the definition of RNC which essentially fixes the $density$ $of$ $geodesics$ emanating from $p_0$ to its value in flat spacetime, viz.: (iii) the tangent space $\mathcal{T}_{p_0}(\mathcal{M})$ is $flat$. We relax (iii) and obtain the normal coordinates, along with the metric $g_{\textsf{ab}}$, when $\mathcal{T}_{p_0}(\mathcal{M})$ is a maximally symmetric manifold $\widetilde{\mathcal M}_{\Lambda}$ with curvature length $|\Lambda|^{-1/2}$. In general, the "rest" frame defined by these coordinates is non-inertial with an additional acceleration $\boldsymbol a = - ({\Lambda}/3) \, \boldsymbol x$ depending on the curvature of tangent space. Our geometric set-up provides a convenient probe of local physics in a universe with a cosmological constant $\Lambda$, now embedded into the local structure of spacetime as a fundamental constant associated with a curved tangent space. We discuss classical and quantum implications of the same.
[ { "version": "v1", "created": "Mon, 23 Mar 2020 10:36:12 GMT" }, { "version": "v2", "created": "Mon, 8 Jun 2020 06:40:02 GMT" } ]
2020-06-30T00:00:00
[ [ "K", "Hari", "" ], [ "Kothawala", "Dawood", "" ] ]
"5WEcfhrFqDLwVPL7ZUP08WdLUtC0vxMtQJcj77UvplxGWAsxT81N3i6dG6Xw5bnjwJzVS2eEHk8JIF7oUEAdAvm1oYUTY3qYGD0ueNdkBHvJXT7gaYjprj0LylKrBLyIoKN3v8Z8jr/ywZ/z6u5GA0bbzsx33dFgKB/cPCqavqo="
1908.09567
Eirik Berge
Eirik Berge
$\alpha$-modulation spaces for step two stratified Lie groups
null
null
null
null
math.FA math.MG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define and investigate $\alpha$-modulation spaces $M_{p,q}^{s,\alpha}(G)$ associated to a step two stratified Lie group $G$ with rational structure constants. This is an extension of the Euclidean $\alpha$-modulation spaces $M_{p,q}^{s,\alpha}(\mathbb{R}^n)$ that act as intermediate spaces between the modulation spaces ($\alpha = 0$) in time-frequency analysis and the Besov spaces ($\alpha = 1$) in harmonic analysis. We will illustrate that the the group structure and dilation structure on $G$ affect the boundary cases $\alpha = 0,1$ where the spaces $M_{p,q}^{s}(G)$ and $\mathcal{B}_{p,q}^{s}(G)$ have non-standard translation and dilation symmetries. Moreover, we show that the spaces $M_{p,q}^{s,\alpha}(G)$ are non-trivial and generally distinct from their Euclidean counterparts. Finally, we examine how the metric geometry of the coverings $\mathcal{Q}(G)$ underlying the $\alpha = 0$ case $M_{p,q}^{s}(G)$ allows for the existence of geometric embeddings \[F:M_{p,q}^{s}(\mathbb{R}^k) \longrightarrow{} M_{p,q}^{s}(G),\] as long as $k$ (that only depends on $G$) is small enough. Our approach naturally gives rise to several open problems that is further elaborated at the end of the paper.
[ { "version": "v1", "created": "Mon, 26 Aug 2019 09:45:24 GMT" } ]
2019-08-27T00:00:00
[ [ "Berge", "Eirik", "" ] ]
"zXuIPqrDKcTYUtLT9VP0c2Q9Ykc0n7Mp1Vdm3bz/9VzI6FtNSkRFyK6He+WUwanmwA7zx2usXkuNrVzgSFg9QBm/oMBSxlSQGNk8LWRiNrmfuz3o5ohrL4yJoo4ZBK6hiLb3idC5ja/Cx5FtJu9GY9fKlKx22eH0KDPEOjIKirg="
hep-ph/0310081
Robert Fleischer
Robert Fleischer (CERN)
New Strategies to Extract Weak Phases from Neutral B Decays
8 pages, LaTeX, invited talk at the HEP2003 Europhysics Conference, Aachen, Germany, 17-23 July 2003, to appear in the proceedings
Eur.Phys.J.C33:s268-s270,2004
10.1140/epjcd/s2003-03-130-5
CERN-TH/2003-241
hep-ph
null
We discuss new, theoretically clean strategies to determine the angle $\gamma$ of the unitarity triangle from $B_d\to DK_{S(L)}$, $B_s\to D\eta^{(')}, D\phi, ...$ decays, and point out that the $B_s\to DK_{S(L)}$ and $B_d\to D\pi^0, D\rho^0, ...$ modes allow very interesting determinations of the $B^0_q$--$\bar{B^0_q}$ mixing phases $\phi_s$ and $\phi_d$, respectively. Their colour-allowed counterparts $B_s\to D_s^{(*)\pm} K^\mp, ...$ and $B_d\to D^{(*)\pm} \pi^\mp, ...$ also offer new methods to probe $\gamma$.
[ { "version": "v1", "created": "Tue, 7 Oct 2003 10:35:37 GMT" } ]
2010-11-23T00:00:00
[ [ "Fleischer", "Robert", "", "CERN" ] ]
"kGjdfq7AGEjCFVf2dUL0vUQLFEx8vJIJUNJi35H/rVx82Bp9WiRtnGSVO6FwwTXi8O/1VVasDN2gsl+kUWo9A4mcgMQabFG+FKhFbOukKHCBfw+gYoAoPSwiZ68MJJ6IwiP3verxBevmFZ9/t+ZEi1ba2ql+BNN0bNLUjAo6V7w="
hep-ph/0603081
Thomas Konstandin
Thomas Konstandin, Stephan J. Huber
Numerical Approach to Multi Dimensional Phase Transitions
18 pages, 8 figures; some comments, a reference and a table added
JCAP 0606 (2006) 021
10.1088/1475-7516/2006/06/021
CERN-PH-TH/2006-041
hep-ph
null
We present an algorithm to analyze numerically the bounce solution of first-order phase transitions. Our approach is well suited to treat phase transitions with several fields. The algorithm consists of two parts. In the first part the bounce solution without damping is determined, in which case energy is conserved. In the second part the continuation to the physically relevant case with damping is performed. The presented approach is numerically stable and easily implemented.
[ { "version": "v1", "created": "Fri, 10 Mar 2006 10:06:09 GMT" }, { "version": "v2", "created": "Thu, 22 Jun 2006 06:42:18 GMT" } ]
2009-11-11T00:00:00
[ [ "Konstandin", "Thomas", "" ], [ "Huber", "Stephan J.", "" ] ]
"cHkIfgihmY/4kFv/dVHcW03rdPSQn7ONRFMzaTF+/V1MSBp8agxNWGaHc+jxw7XjkB/541MsTk0IOn1oUgAVRH0c4dQXT1auGD2EaHliJMyB9h8IKcGprbkrotkJAegIt6e1v++jh+/iJZ9pouYVB9/e/Ab3TPLSLIvUHDoSDno="
1803.11173
Jarrod McClean
Jarrod R. McClean, Sergio Boixo, Vadim N. Smelyanskiy, Ryan Babbush, Hartmut Neven
Barren plateaus in quantum neural network training landscapes
null
Nature Communications, Volume 9, Article Number: 4812 (2018)
10.1038/s41467-018-07090-4
null
quant-ph cs.LG physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Many experimental proposals for noisy intermediate scale quantum devices involve training a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum-classical algorithms are popular for applications in quantum simulation, optimization, and machine learning. Due to its simplicity and hardware efficiency, random circuits are often proposed as initial guesses for exploring the space of quantum states. We show that the exponential dimension of Hilbert space and the gradient estimation complexity make this choice unsuitable for hybrid quantum-classical algorithms run on more than a few qubits. Specifically, we show that for a wide class of reasonable parameterized quantum circuits, the probability that the gradient along any reasonable direction is non-zero to some fixed precision is exponentially small as a function of the number of qubits. We argue that this is related to the 2-design characteristic of random circuits, and that solutions to this problem must be studied.
[ { "version": "v1", "created": "Thu, 29 Mar 2018 17:39:09 GMT" } ]
2019-02-04T00:00:00
[ [ "McClean", "Jarrod R.", "" ], [ "Boixo", "Sergio", "" ], [ "Smelyanskiy", "Vadim N.", "" ], [ "Babbush", "Ryan", "" ], [ "Neven", "Hartmut", "" ] ]
"gGMMfq/GmMrYHYp/93N0+xWLdmXQg/MVVNd+fP1mf1XE0Gr5QhdtWiYV+/WgE6Rn5iz9mzUsGs0omhs4aQs0BIGQYIOTxVa2HrAgeb0mFFnMfx/ICIjpqgWrsYisJZ6Irqf3/Zq2jH/iNIf7JG/UI93alIh/eINwbmLWjvK6Xz4="
cond-mat/9712328
Aram Galstyan
A. G. Galstyan and M. E. Raikh (University of Utah)
Disorder-Induced Broadening of the Density of States for 2D Electrons with Strong Spin-Orbit Coupling
12 pages, REVTeX, 4 figures
null
10.1103/PhysRevB.58.6736
null
cond-mat.mes-hall
null
We study theoretically the disorder-induced smearing of the density of states in a two-dimensional electron system taking into account a spin-orbit term in the Hamiltonian of a free electron. We show that the characteristic energy scale for the smearing increases with increasing the spin-orbit coupling. We also demonstrate that in the limit of a strong spin-orbit coupling the diagrams with self-intersections give a parametrically small contribution to the self-energy. As a result, the coherent potential approximation becomes asymptotically exact in this limit. The tail of the density of states has the energy scale which is much smaller than the magnitude of the smearing. We find the shape of the tail using the instanton approach.
[ { "version": "v1", "created": "Wed, 31 Dec 1997 22:54:20 GMT" } ]
2009-10-30T00:00:00
[ [ "Galstyan", "A. G.", "", "University of Utah" ], [ "Raikh", "M. E.", "", "University of Utah" ] ]
"OGuAXiCwKG5YWBh71WPRMa07cPT8jHODVBM//Xn+fVXA3Fp9SGRtemaNO/XgU6Tj0QjxA328W9UJqF8iyE41RTmaoNIXH1s+Gj4Afz0khtnB3J0IW8goPgEBouoMISohjr91z/73i0vyBbPpp24HCt3a0Kp3XLNSTdPUnH4SCx4="
2409.05329
Emmanuel Frion
Marcus V. Bomfim, Emmanuel Frion, Nelson Pinto-Neto, Sandro D. P. Vitenti
Primordial magnetogenesis in a bouncing model with dark energy
13 pages, 10 figures. Matches the published version in the Open Journal of Astrophysics
null
10.33232/001c.125505
null
gr-qc astro-ph.CO
http://creativecommons.org/licenses/by/4.0/
We investigate primordial magnetogenesis within a quantum bouncing model driven by a scalar field, focusing on various non-minimal couplings between the electromagnetic field and the scalar field. We test three cases: no coupling, a Cauchy coupling with gradual decay, and a Gaussian coupling with rapid fall-off. By exploring these scenarios, we assess a wide range of coupling strengths across different scales. The scalar field, with an exponential potential, behaves as pressureless matter in the asymptotic past of the contracting phase, as stiff matter around the bounce, and as dark energy during the expanding phase. Our findings reveal that, among the tested cases, only the Gaussian coupling can explain the generation of primordial magnetic fields on cosmological scales.
[ { "version": "v1", "created": "Mon, 9 Sep 2024 05:13:19 GMT" }, { "version": "v2", "created": "Tue, 10 Sep 2024 15:44:31 GMT" }, { "version": "v3", "created": "Sun, 3 Nov 2024 15:52:01 GMT" } ]
2024-11-06T00:00:00
[ [ "Bomfim", "Marcus V.", "" ], [ "Frion", "Emmanuel", "" ], [ "Pinto-Neto", "Nelson", "" ], [ "Vitenti", "Sandro D. P.", "" ] ]
"5msQfpLgut5YUFj3fVD0WUbDINbwn9sNUNci6Tnu9lzFSBtlR21JWiaFX2mQQJPz8p69o3euXWEpLl8w2UhdRzmwi8QTY1K+GD1geP0mIuDZLR4Aqoip7amMox6JJK6oGl3vvqq8ju/mIad5oORBh43a3I13XoJyaQPeBPKUzzo="
2209.11661
Eike Hermann M\"uller
Eike Hermann M\"uller
Exact conservation laws for neural network integrators of dynamical systems
24 pages, 16 figures; to appear in Journal of Computational Physics
null
10.1016/j.jcp.2023.112234
null
math.DS cs.LG gr-qc physics.comp-ph
http://creativecommons.org/licenses/by/4.0/
The solution of time dependent differential equations with neural networks has attracted a lot of attention recently. The central idea is to learn the laws that govern the evolution of the solution from data, which might be polluted with random noise. However, in contrast to other machine learning applications, usually a lot is known about the system at hand. For example, for many dynamical systems physical quantities such as energy or (angular) momentum are exactly conserved. Hence, the neural network has to learn these conservation laws from data and they will only be satisfied approximately due to finite training time and random noise. In this paper we present an alternative approach which uses Noether's Theorem to inherently incorporate conservation laws into the architecture of the neural network. We demonstrate that this leads to better predictions for three model systems: the motion of a non-relativistic particle in a three-dimensional Newtonian gravitational potential, the motion of a massive relativistic particle in the Schwarzschild metric and a system of two interacting particles in four dimensions.
[ { "version": "v1", "created": "Fri, 23 Sep 2022 15:45:05 GMT" }, { "version": "v2", "created": "Sun, 14 May 2023 12:36:33 GMT" } ]
2023-06-14T00:00:00
[ [ "Müller", "Eike Hermann", "" ] ]
"6HsMbpqjMM5YmJOXdXvwcGZJSUV8j4MVREdLybdvt1XswAoda81N3m6eG6Xh5KTgxAyd44GO3m2pun+pSFMtRKUcoMRTw5aUHL8AfL1iNF3BfRxAJIHpqQuJpRutBLyJjr+39ZKg3dryBZf9oGcUS8+7nKx34aJwaRPcDfKbn7w="
0705.2108
Sergey Masalovich
S. Masalovich
Method to measure neutron beam polarization with 2x1 Neutron Spin Filter
13 pages, 3 figures, submitted to Nucl. Instrum. Methods A on 02 January 2007
Nucl.Instrum.Meth.A581:791-798,2007
10.1016/j.nima.2007.08.150
null
nucl-ex
null
A method to measure a beam polarization with the use of polarized 3He gas is discussed. It is shown that special design of the Neutron Spin Filter cell allows for a fast and accurate measurement. The accuracy of this method is analyzed.
[ { "version": "v1", "created": "Tue, 15 May 2007 10:10:30 GMT" } ]
2013-11-20T00:00:00
[ [ "Masalovich", "S.", "" ] ]
"hmjIXi7gOFrT2H32dfh+czlLXGRsv4OREtN9f5l79Vzs2AoVWkRFriWEeyJ487XuEAv5l3WsHAeopj0oSmExD2GSYMMS5VC+EnDkKvnycGSD/RioIQB7PbkK4YiMJTiojg8nnuJwju+mVPfh8mcsA8272At2BLJiTTLWrr9K57w="
2307.15570
Wentao Cai
Jingjing Pan and Wentao Cai
Error analysis of energy-conservative BDF2-FE scheme for the 2D Navier-Stokes equations with variable density
22 pages, 1 figures
null
null
null
math.NA cs.NA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we present an error estimate of a second-order linearized finite element (FE) method for the 2D Navier-Stokes equations with variable density. In order to get error estimates, we first introduce an equivalent form of the original system. Later, we propose a general BDF2-FE method for solving this equivalent form, where the Taylor-Hood FE space is used for discretizing the Navier-Stokes equations and conforming FE space is used for discretizing density equation. We show that our scheme ensures discrete energy dissipation. Under the assumption of sufficient smoothness of strong solutions, an error estimate is presented for our numerical scheme for variable density incompressible flow in two dimensions. Finally, some numerical examples are provided to confirm our theoretical results.
[ { "version": "v1", "created": "Fri, 28 Jul 2023 14:06:21 GMT" } ]
2023-07-31T00:00:00
[ [ "Pan", "Jingjing", "" ], [ "Cai", "Wentao", "" ] ]
"fWMIbhijEMjU2FLaXVv88Wb56QOXo7P7VMVnOT9//hlM4B0NwghN2CaG0SnR1YLjwC2x6VOs208YtH3oUlMJlJmaYMQRzlKkFP2gbL+jpc+hrhdAOcGJPiG5sNuIBasp7DKlHby2jErCAZtoZG9EI8/OXY13zKJEeN6GnpN7Ujg="
2411.13976
Mohammad Kafini
Mohammad Kafini
Blow-up result for a piezoelectric beams system with magnetic effects
13 pages, no figures
null
null
null
math.AP
http://creativecommons.org/licenses/by/4.0/
The system under studying is for a piezoelectric beams system with magnetic effects, frictional dampings and source terms. We use the concavity method to study the competition of the dampings and the sources that leads to a blow-up result for solutions with negative initial energy.
[ { "version": "v1", "created": "Thu, 21 Nov 2024 09:43:27 GMT" } ]
2024-11-22T00:00:00
[ [ "Kafini", "Mohammad", "" ] ]
"cdlQbo7gqN5R2NA3fVnca2bzbXLQ16ecQJN1zZmu5hVMwMsFCQTN2OaOiWU0RLLjco+0h9Ou3mUMoDilYVC0xF2YIdESx1aMGD2weLpygN2BSBxAKIBp6y24qtsJoKuIsju/9/CyjO/ivN9pMiYUA9/6XAh/F7KgTHPanDoefjo="
2406.09808
Andrea Vaccaro
Grigoris Kopsacheilis, Hung-Chang Liao, Aaron Tikuisis, Andrea Vaccaro
Uniform property $\Gamma$ and the small boundary property
24 pages; minor edits. This version has been accepted on Transactions of the AMS
null
null
null
math.OA math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that, for a free action $\alpha \colon G \curvearrowright X$ of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied by uniform property $\Gamma$ of the Cartan subalgebra $(C(X) \subseteq C(X) \rtimes_\alpha G)$. The reverse implication has been demonstrated by Kerr and Szab\'o for free actions, from which we obtain that these two conditions are equivalent. We moreover show that, if $\alpha$ is also minimal, then almost finiteness of $\alpha$ is implied by tracial $\mathcal{Z}$-stability of the subalgebra $(C(X) \subseteq C(X) \rtimes_\alpha G)$. The reverse implication is due to Kerr, resulting in the equivalence of these two properties as well. As an application, we prove that if $\alpha \colon G \curvearrowright X$ and $\beta \colon H \curvearrowright Y$ are free actions and $\alpha$ has the small boundary property, then $\alpha \times \beta \colon G \times H \curvearrowright X \times Y$ has the small boundary property. An analogous permanence property is obtained for almost finiteness in case $\alpha$ and $\beta$ are free minimal actions.
[ { "version": "v1", "created": "Fri, 14 Jun 2024 08:02:37 GMT" }, { "version": "v2", "created": "Fri, 21 Jun 2024 08:42:27 GMT" }, { "version": "v3", "created": "Wed, 09 Apr 2025 20:00:46 GMT" }, { "version": "v4", "created": "Fri, 09 May 2025 09:06:17 GMT" } ]
2025-05-12T00:00:00
[ [ "Kopsacheilis", "Grigoris", "" ], [ "Liao", "Hung-Chang", "" ], [ "Tikuisis", "Aaron", "" ], [ "Vaccaro", "Andrea", "" ] ]
"8XEYH4PjEYDqUtUX5XD883Nr9YSUx7M5VENi3bd979QAYVoUTgdNXGyHOo0wwLmnwA5R80O8HEsgqd+hcFp2ROubocAXZ1SwGNUcyLAiNhmfWyzIa5g4P4i7jpYNAqwZiaY3z1K7gG9mRbetJudUA8+6lgV+3eGQDefcO7sKiiw="
2309.11930
Bo Ye
Bo Ye, Kai Gan, Tong Wei and Min-Ling Zhang
Bridging the Gap: Learning Pace Synchronization for Open-World Semi-Supervised Learning
null
null
null
null
cs.LG cs.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In open-world semi-supervised learning, a machine learning model is tasked with uncovering novel categories from unlabeled data while maintaining performance on seen categories from labeled data. The central challenge is the substantial learning gap between seen and novel categories, as the model learns the former faster due to accurate supervisory information. Moreover, capturing the semantics of unlabeled novel category samples is also challenging due to the missing label information. To address the above issues, we introduce 1) the adaptive synchronizing marginal loss which imposes class-specific negative margins to alleviate the model bias towards seen classes, and 2) the pseudo-label contrastive clustering which exploits pseudo-labels predicted by the model to group unlabeled data from the same category together in the output space. Extensive experiments on benchmark datasets demonstrate that previous approaches may significantly hinder novel class learning, whereas our method strikingly balances the learning pace between seen and novel classes, achieving a remarkable 3% average accuracy increase on the ImageNet dataset. Importantly, we find that fine-tuning the self-supervised pre-trained model significantly boosts the performance, which is overlooked in prior literature. Our code is available at https://github.com/yebo0216best/LPS-main.
[ { "version": "v1", "created": "Thu, 21 Sep 2023 09:44:39 GMT" }, { "version": "v2", "created": "Wed, 17 Apr 2024 12:27:25 GMT" } ]
2024-04-18T00:00:00
[ [ "Ye", "Bo", "" ], [ "Gan", "Kai", "" ], [ "Wei", "Tong", "" ], [ "Zhang", "Min-Ling", "" ] ]
"immELoiimiZgD9IX/UIwo2QZB1TUD7HDc1d2Zb1/9xxC8AlJZRBtmgwHe/cmyaynwg61lxCs2smpqxitQE55wXESqfBT1kbYF7iE7N52VM2Fmz3KNoO2JA6V65ueZH6IjrMlvbSiD27mZbd5Z23Uu42tWKx/NLMCTQNUHntTKi8="
1911.04836
Eleonora Quadrivi
M. Nastasi, A. Paonessa, E. Previtali, E. Quadrivi, M. Sisti, S. Aiello, G. Andronico, V. Antonelli, W. Baldini, M. Bellato, A. Bergnoli, A. Brigatti, R. Brugnera, A. Budano, M. Buscemi, A. Cammi, R. Caruso, D. Chiesa, C. Clementi, D. Corti, S. Costa, F. Dal Corso, X.F. Ding, S. Dusini, A. Fabbri, G. Fiorentini, R. Ford, A. Formozov, G. Galet, A. Garfagnini, M. Giammarchi, A. Giaz, M. Grassi, R. Isocrate, C. Landini, I. Lippi, P. Lombardi, Y. Malyshkin, F. Mantovani, S.M. Mari, F. Marini, C. Martellini, A. Martini, E. Meroni, M. Mezzetto, L. Miramonti, P. Montini, M. Montuschi, F. Ortica, A. Paoloni, S. Parmeggiano, N. Pelliccia, G. Ranucci, A.C. Re, B. Ricci, A. Romani, P. Saggese, G. Salamanna, F.H. Sawi, A. Serafini, G. Settanta, C. Sirignano, L. Stanco, V. Strati, C. Tuv\`e, G. Verde, L. Votano
$^{222}$Rn contamination mechanisms on acrylic surfaces
null
null
null
null
physics.ins-det
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work, the $^{222}$Rn contamination mechanisms on acrylic surfaces have been investigated. $^{222}$Rn can represent a significant background source for low-background experiments, and acrylic is a suitable material for detector design thanks to its purity and transparency. Four acrylic samples have been exposed to a $^{222}$Rn rich environment for different time periods, being contaminated by $^{222}$Rn and its progenies. Subsequently, the time evolution of radiocontaminants activity on the samples has been evaluated with $\alpha$ and $\gamma$ measurements, highlighting the role of different decay modes in the contamination process. A detailed analysis of the alpha spectra allowed to quantify the implantation depth of the contaminants. Moreover, a study of both $\alpha$ and $\gamma$ measurements pointed out the $^{222}$Rn diffusion inside the samples.
[ { "version": "v1", "created": "Tue, 12 Nov 2019 13:26:04 GMT" } ]
2019-11-13T00:00:00
[ [ "Nastasi", "M.", "" ], [ "Paonessa", "A.", "" ], [ "Previtali", "E.", "" ], [ "Quadrivi", "E.", "" ], [ "Sisti", "M.", "" ], [ "Aiello", "S.", "" ], [ "Andronico", "G.", "" ], [ "Antonelli", "V.", "" ], [ "Baldini", "W.", "" ], [ "Bellato", "M.", "" ], [ "Bergnoli", "A.", "" ], [ "Brigatti", "A.", "" ], [ "Brugnera", "R.", "" ], [ "Budano", "A.", "" ], [ "Buscemi", "M.", "" ], [ "Cammi", "A.", "" ], [ "Caruso", "R.", "" ], [ "Chiesa", "D.", "" ], [ "Clementi", "C.", "" ], [ "Corti", "D.", "" ], [ "Costa", "S.", "" ], [ "Corso", "F. Dal", "" ], [ "Ding", "X. F.", "" ], [ "Dusini", "S.", "" ], [ "Fabbri", "A.", "" ], [ "Fiorentini", "G.", "" ], [ "Ford", "R.", "" ], [ "Formozov", "A.", "" ], [ "Galet", "G.", "" ], [ "Garfagnini", "A.", "" ], [ "Giammarchi", "M.", "" ], [ "Giaz", "A.", "" ], [ "Grassi", "M.", "" ], [ "Isocrate", "R.", "" ], [ "Landini", "C.", "" ], [ "Lippi", "I.", "" ], [ "Lombardi", "P.", "" ], [ "Malyshkin", "Y.", "" ], [ "Mantovani", "F.", "" ], [ "Mari", "S. M.", "" ], [ "Marini", "F.", "" ], [ "Martellini", "C.", "" ], [ "Martini", "A.", "" ], [ "Meroni", "E.", "" ], [ "Mezzetto", "M.", "" ], [ "Miramonti", "L.", "" ], [ "Montini", "P.", "" ], [ "Montuschi", "M.", "" ], [ "Ortica", "F.", "" ], [ "Paoloni", "A.", "" ], [ "Parmeggiano", "S.", "" ], [ "Pelliccia", "N.", "" ], [ "Ranucci", "G.", "" ], [ "Re", "A. C.", "" ], [ "Ricci", "B.", "" ], [ "Romani", "A.", "" ], [ "Saggese", "P.", "" ], [ "Salamanna", "G.", "" ], [ "Sawi", "F. H.", "" ], [ "Serafini", "A.", "" ], [ "Settanta", "G.", "" ], [ "Sirignano", "C.", "" ], [ "Stanco", "L.", "" ], [ "Strati", "V.", "" ], [ "Tuvè", "C.", "" ], [ "Verde", "G.", "" ], [ "Votano", "L.", "" ] ]
"9GnUXJzsugrXDPHzbXI8owQrUE1wKtON1qdq29n/8HzE8AotUCRZ2maUGyD+wqOjYg391EevHw/psGcsyG85hSmeIc8TxVy/FLw2aOIiAGjTb77gI6HaLZiN9QqNJSKhijMXX6tOreqyZNNw62YsF9/YnCx/A/ZYQALQnhMaTik="
1903.12411
Cedric Buron
C\'edric Buron, Zahia Guessoum (SMA), Sylvain Ductor (UECE)
MCTS-based Automated Negotiation Agent (Extended Abstract)
null
AAMAS 2019, May 2019, Montreal, Canada
null
null
cs.AI cs.MA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper introduces a new Negotiating Agent for automated negotiation on continuous domains and without considering a specified deadline. The agent bidding strategy relies on Monte Carlo Tree Search, which is a trendy method since it has been used with success on games with high branching factor such as Go. It uses two opponent modeling techniques for its bidding strategy and its utility: Gaussian process regression and Bayesian learning. Evaluation is done by confronting the existing agents that are able to negotiate in such context: Random Walker, Tit-for-tat and Nice Tit-for-Tat. None of those agents succeeds in beating our agent; moreover the modular and adaptive nature of our approach is a huge advantage when it comes to optimize it in specific applicative contexts.
[ { "version": "v1", "created": "Fri, 29 Mar 2019 09:21:53 GMT" } ]
2019-04-01T00:00:00
[ [ "Buron", "Cédric", "", "SMA" ], [ "Guessoum", "Zahia", "", "SMA" ], [ "Ductor", "Sylvain", "", "UECE" ] ]
"yXYsb4CklNphGdqffWCVOT3tFMJFC7HnbVVzbT9//dTEYGAdekJsWLQGO+w1w7Cv4B68ehGuGKkI6nyLcc38Ce0OAER82cXskLXwaP2mJN3lexzoP6LoLVqbvJgHh3+Y7sslfJKCiDySjddogqdUJ93OnIh/VrPUbuRMTrITHq0="
0704.2298
Tao Wang
Tower Wang
Probing Alpha-Vacua of Black Holes in LHC
14 pages, 8 eps figures, improved substantially
null
null
USTC-ICTS-07-02
hep-th hep-ph
null
Motivated by the idea of alpha-vacua in Schwarzschild spacetime, we studied the deformed spectrum of Hawking radiation. Such a deformation would leave signatures on the small black hole evaporation in LHC because their vacuum deviates from the Unruh state.
[ { "version": "v1", "created": "Wed, 18 Apr 2007 13:31:08 GMT" }, { "version": "v2", "created": "Fri, 25 May 2007 12:04:47 GMT" }, { "version": "v3", "created": "Tue, 30 Oct 2007 01:26:23 GMT" } ]
2007-10-30T00:00:00
[ [ "Wang", "Tower", "" ] ]
"MGkQfSrliE7YEVrXVWJQ83fLYBL4j5svUtOv39juHl1kmHrFA0553i6XGeDgoIPjjI+Fe+Ok3s8JoJ/kSVo5D9OWoIbQL1O2GL04LNQuAHmJXzUgaohpryy/pxmvNIyJgDfyneo0nG/k1aP7qEZcB8Tazsx2X4HwDVfAXMwWqz4="
cond-mat/0507231
Abolfazl Ramezanpour
A. Ramezanpour, S. Moghimi-Araghi
Spanning Trees in Random Satisfiability Problems
12 pages, 5 figures, published version
J. Phys. A: Math. Gen. 39 (2006) 4901-4909
10.1088/0305-4470/39/18/008
null
cond-mat.dis-nn cond-mat.stat-mech
null
Working with tree graphs is always easier than with loopy ones and spanning trees are the closest tree-like structures to a given graph. We find a correspondence between the solutions of random K-satisfiability problem and those of spanning trees in the associated factor graph. We introduce a modified survey propagation algorithm which returns null edges of the factor graph and helps us to find satisfiable spanning trees. This allows us to study organization of satisfiable spanning trees in the space spanned by spanning trees.
[ { "version": "v1", "created": "Mon, 11 Jul 2005 05:27:40 GMT" }, { "version": "v2", "created": "Sun, 23 Apr 2006 11:39:29 GMT" } ]
2009-11-11T00:00:00
[ [ "Ramezanpour", "A.", "" ], [ "Moghimi-Araghi", "S.", "" ] ]
"/WlNf4ygk9gYHdMffVNaszR748JUD6PbUHU7bn3/+VxG4Dh96kptGgwWMbWSQ6xnxgx9jhGMmG0AqlwqUiA92vSnIcRYw0WkFLS2qYk2Fu2NeR3IaqAcLhkZrpa8Bp6I7aO1/9bwhn8yR5d6Jq1TQ93aHAh+yLNDffHELLNLTy4="
astro-ph/0701553
Jelle de Plaa
J. de Plaa, N. Werner, J.A.M. Bleeker, Jacco Vink, J.S. Kaastra, M. Mendez
Constraining supernova models using the hot gas in clusters of galaxies
13 pages, 10 figures, accepted for publication in A&A
null
10.1051/0004-6361:20066382
null
astro-ph
null
The hot Intra-Cluster Medium (ICM) in clusters of galaxies is a very large repository of metals produced by supernovae. We aim to accurately measure the abundances in the ICM of many clusters and compare these data with metal yields produced by supernovae. Using the data archive of the XMM-Newton X-ray observatory, we compile a sample of 22 clusters. We fit spectra extracted from the core regions and determine the abundances of silicon, sulfur, argon, alcium, iron, and nickel. The abundances from the spectral fits are subsequently fitted to supernova yields determined from several supernova type Ia and core-collapse supernova models. We find that the argon and calcium abundances cannot be fitted with currently favoured supernova type Ia models. We obtain a major improvement of the fit, when we use an empirically modified delayed-detonation model that is calibrated on the Tycho supernova remnant. The two modified parameters are the density where the sound wave in the supernova turns into a shock and the ratio of the specific internal energies of ions and electrons at the shock. Our fits also suggest that the core-collapse supernovae that contributed to the enrichment of the ICM had progenitors which were already enriched. The Ar/Ca ratio in clusters is a good touchstone for determining the quality of type Ia models. The core-collapse contribution, which is about 50% and not strongly dependent on the IMF or progenitor metallicity, does not have a significant impact on the Ar/Ca ratio. The number ratio between supernova type Ia and core-collapse supernovae suggests that binary systems in the appropriate mass range are very efficient (~ 5-16%) in eventually forming supernova type Ia explosions.
[ { "version": "v1", "created": "Fri, 19 Jan 2007 09:02:44 GMT" } ]
2007-05-23T00:00:00
[ [ "de Plaa", "J.", "" ], [ "Werner", "N.", "" ], [ "Bleeker", "J. A. M.", "" ], [ "Vink", "Jacco", "" ], [ "Kaastra", "J. S.", "" ], [ "Mendez", "M.", "" ] ]
"5GjAfJqumg5kTPvTfXK1x4fLRNS0L5PPQpNvRznMt3hH0CtdSixN3ySdWzlYarfjcI81LF+MWl8Jsl9w00EJQBm0qIRV/UW+Fz38KdduYmXBfw8oMYC4rSuN6goPJD4J7Is3l524Ef+i5fpx80ZMAc3Y3a13VLBUTJPQhLg6big="
2310.14886
Julian Quast
Julian Quast
Deformations of $G$-valued pseudocharacters
53 pages
null
null
null
math.NT math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define a deformation space of V. Lafforgue's $G$-valued pseudocharacters of a profinite group $\Gamma$ for a possibly disconnected reductive group $G$. We show, that this definition generalizes Chenevier's construction. We show that the universal pseudodeformation ring is noetherian and that the functor of continuous $G$-pseudocharacters on affinoid $\mathbb{Q}_p$-algebras is represented by a quasi-Stein rigid analytic space, whenever $\Gamma$ is topologically finitely generated. We also show that the pseudodeformation ring is noetherian, when $\Gamma$ satisfies Mazur's condition $\Phi_p$ and $G$ satisfies a certain invariant-theoretic condition. For $G = \mathrm{Sp}_{2n}$ we describe three types of obstructed loci in the special fiber of the universal pseudodeformation space of an arbitrary residual pseudocharacter and give upper bounds for their dimension.
[ { "version": "v1", "created": "Mon, 23 Oct 2023 12:55:04 GMT" } ]
2023-10-24T00:00:00
[ [ "Quast", "Julian", "" ] ]
"uHuMbwKjAZRQGEIf5VKks2ItpBW2T7sp1Efm1ff9dVhKeFtcyiNs3G6HOsXxwbilwA91p3OGXJmAoPShSGh8hOufocAWwFOKmp0UaLYkDvmYOBzA6Kg6Liyq7lcdBK6Jmac+KVY5h+7mhxfrJm/UC1eKzKN+36OQSJLUknlaAzo="
cond-mat/9712015
Zachary Ha
Z. N. C. Ha (NHMFL,Tallahasee)
New Paired-Wavefunction for the Frustrated Antiferromagnetic Spin-Half Chain
null
null
null
NHMFL-97-11
cond-mat.str-el cond-mat.supr-con
null
I propose a new paired-wavefunction with a parameter that continuously interpolates from the 1D Jastrow-product to the Majumdar-Ghosh dimer-wavefunction appropriate for the frustrated Heisenberg $S = 1/2$ antiferromagnet. This spin paired-state constructed in $S_z$ basis is an alternative to the well-known resonating-valence-bond basis state for describing the $S = 0$ ground-state with no apparent long-range spin order. Some numerical evidences are presented.
[ { "version": "v1", "created": "Mon, 1 Dec 1997 17:13:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Ha", "Z. N. C.", "", "NHMFL,Tallahasee" ] ]
"IGlIfhagLEqQWBR/tVrV/j1r7Fz0tPPERFNZbfl/KVyc6AtdSgZt3Gaca+Xxw6Rr0Qr1g3OsTlGAqV3oWg0dQX206eQW1lGuHDwE2rUmJPCCfYWAasopHwGikOoNIziIpy83v/9jJv7mhbJtpm8GCN3alCt6TPMCRwLUljoTKrw="