Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Earth Sciences (16248)
- Geology (13576)
- Life Sciences (3499)
- Computer Sciences (3464)
- Environmental Sciences (2810)
-
- Engineering (2085)
- Chemistry (1794)
- Soil Science (1672)
- Plant Sciences (1632)
- Social and Behavioral Sciences (1459)
- Physics (1365)
- Mathematics (1340)
- Sustainability (1010)
- Artificial Intelligence and Robotics (827)
- Medicine and Health Sciences (806)
- Computer Engineering (780)
- Ecology and Evolutionary Biology (763)
- Oceanography and Atmospheric Sciences and Meteorology (696)
- Statistics and Probability (655)
- Environmental Education (519)
- Natural Resources and Conservation (492)
- Electrical and Computer Engineering (478)
- Urban Studies and Planning (470)
- Education (465)
- Environmental Monitoring (451)
- Numerical Analysis and Scientific Computing (442)
- Databases and Information Systems (438)
- Astrophysics and Astronomy (428)
- Natural Resources Management and Policy (415)
- Institution
-
- Western Michigan University (13205)
- University of Kentucky (1719)
- TÜBİTAK (651)
- University of Nebraska - Lincoln (649)
- Singapore Management University (573)
-
- Loyola Marymount University and Loyola Law School (445)
- Old Dominion University (373)
- China Simulation Federation (315)
- University of Texas Rio Grande Valley (251)
- City University of New York (CUNY) (219)
- Chulalongkorn University (215)
- University of South Carolina (207)
- China Coal Technology and Engineering Group (CCTEG) (204)
- Montana Tech Library (195)
- Western University (194)
- University of Texas at El Paso (187)
- Utah State University (183)
- Kennesaw State University (181)
- Missouri University of Science and Technology (181)
- University of South Florida (174)
- Louisiana State University (171)
- Portland State University (170)
- William & Mary (162)
- University of Arkansas, Fayetteville (153)
- Air Force Institute of Technology (149)
- Boise State University (143)
- Technological University Dublin (130)
- University of Nevada, Las Vegas (128)
- Claremont Colleges (111)
- The University of Maine (110)
- Keyword
-
- Machine learning (190)
- Deep learning (163)
- Climate change (135)
- COVID-19 (125)
- Machine Learning (119)
-
- Technical Reports (109)
- UTEP Computer Science Department (109)
- Deep Learning (76)
- Alfalfa (73)
- Sustainability (70)
- Priority Soils (65)
- Mathematics (61)
- Artificial intelligence (59)
- Computer Science (59)
- Chemistry (58)
- Simulation (54)
- Remote sensing (52)
- Water Quality (52)
- Cybersecurity (47)
- Lake (46)
- Nitrogen (46)
- Lakes Lay Monitoring Program (45)
- Optimization (43)
- Climate (42)
- Artificial Intelligence (41)
- Environment (41)
- Blockchain (40)
- Soil Sampling (40)
- Classification (39)
- Computer vision (39)
- Publication
-
- Legacy Scout Tickets from Pure Oil Company (11044)
- Thin Sections (2130)
- IGC Proceedings (1993-2023) (1502)
- Theses and Dissertations (537)
- Research Collection School Of Computing and Information Systems (513)
-
- Journal of System Simulation (315)
- Faculty Publications (277)
- Electronic Theses and Dissertations (262)
- Chulalongkorn University Theses and Dissertations (Chula ETD) (215)
- Coal Geology & Exploration (204)
- Turkish Journal of Electrical Engineering and Computer Sciences (202)
- Silver Bow Creek/Butte Area Superfund Site (194)
- Turkish Journal of Mathematics (186)
- Turkish Journal of Chemistry (167)
- United States Department of Agriculture Wildlife Services: Staff Publications (136)
- Honors Theses (122)
- Dissertations (115)
- USF Tampa Graduate Theses and Dissertations (112)
- Departmental Technical Reports (CS) (109)
- Graduate Theses and Dissertations (108)
- School of Natural Resources: Faculty Publications (106)
- Publications and Research (99)
- Doctoral Dissertations (96)
- Research outputs 2014 to 2021 (93)
- C-Day Computing Showcase (87)
- Electronic Thesis and Dissertation Repository (86)
- All Works (83)
- Articles (82)
- Physics Faculty Publications (81)
- Module 10: Garden Ecology (78)
- Publication Type
Articles 27841 - 27870 of 27876
Full-Text Articles in Physical Sciences and Mathematics
Lake Winnipesaukee, Meredith Water 2021 Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
Lake Winnipesaukee, Meredith Water 2021 Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for Lake Winnipesuakee in Meredith, NH in 2021.
Sargents Pond 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
Sargents Pond 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for Sargents Pond in Wolfeboro, NH in 2021.
Marsh Pond 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
Marsh Pond 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for Marsh Pond in New Durham, NH in 2021.
North River Lake 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
North River Lake 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for North River Lake in Barrington, NH in 2021.
Lake Wentworth (Station 1 - Fullers) 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
Lake Wentworth (Station 1 - Fullers) 2021 Water Quality Highlight Report, Amanda Mcquaid, Robert Craycraft
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for Wentworth Lake in Wolfeboro, NH (Station 1 - Fullers) in 2021.
Bow Lake (Nearshore Sites) 2021 Water Quality Highlight Report, Robert Craycraft, Amanda Mcquaid
Bow Lake (Nearshore Sites) 2021 Water Quality Highlight Report, Robert Craycraft, Amanda Mcquaid
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for Bow Lake, Nearshore Sites (Barrington and Northwood, NH) for 2021.
North River Lake 2021 Water Quality Full Annual Report, Amanda Mcquaid, Robert Craycraft
North River Lake 2021 Water Quality Full Annual Report, Amanda Mcquaid, Robert Craycraft
UNH Cooperative Extension
A Water Quality Report by UNH CE Lakes Lay Monitoring Program for North River Lake.
Mendums Pond 2021 Water Quality Highlight Report, Robert Craycraft, Amanda Mcquaid
Mendums Pond 2021 Water Quality Highlight Report, Robert Craycraft, Amanda Mcquaid
UNH Cooperative Extension
A Water Quality Highlight Report by UNH CE Lakes Lay Monitoring Program for Mendums Pond (Barrington, NH) for 2021.
Bipartite, Size, And Online Ramsey Numbers Of Some Cycles And Paths, Eliyahu Schudrich
Bipartite, Size, And Online Ramsey Numbers Of Some Cycles And Paths, Eliyahu Schudrich
Theses, Dissertations and Culminating Projects
The basic premise of Ramsey Theory states that in a sufficiently large system, complete disorder is impossible. One instance from the world of graph theory says that given two fixed graphs F and H, there exists a finitely large graph G such that any red/blue edge coloring of the edges of G will produce a red copy of F or a blue copy of H. Much research has been conducted in recent decades on quantifying exactly how large G must be if we consider different classes of graphs for F and H. In this thesis, we explore several Ramsey- type …
Human-Robot Collaboration Using Commonsense Knowledge In Smart Manufacturing Contexts, Christopher Joseph Conti
Human-Robot Collaboration Using Commonsense Knowledge In Smart Manufacturing Contexts, Christopher Joseph Conti
Theses, Dissertations and Culminating Projects
Human-robot collaboration (HRC), where humans and robots work together on specific tasks, is a growing part of smart manufacturing that entails artificial intelligence (AI) techniques in manufacturing processes. Robots need to be able to dynamically understand their working environments and human partners both accurately and quickly, as inaccurate or slow predictions can be dangerous to humans and collaborative tasks. To handle challenging environments, robots need to utilize commonsense knowledge (CSK), which is everyday knowledge about fundamental concepts, such as how basic objects interact with each other, what their properties are, and how they are associated. Human beings utilize CSK regularly, …
Assisting Humans In Human-Robot Co-Carry Tasks Using Robot-Trusting-Human Model, Corey Hannum
Assisting Humans In Human-Robot Co-Carry Tasks Using Robot-Trusting-Human Model, Corey Hannum
Theses, Dissertations and Culminating Projects
Robots are increasingly being employed for diverse applications where they must work and coexist with humans. The trust in human-robot collaboration (HRC) is a critical aspect of any shared task performance for both the human and the robot. The study of human-trusting-robot has been investigated by numerous researchers. However, robot-trusting-human, which is also a significant issue in HRC, is seldom explored in the field of robotics. In this paper we propose a novel trust-assist framework for human-robot co-carry tasks. This framework allows the robot to determine a trust level on the human co-carry partner. The calculations of this trust level …
Fostering Mathematical Creativity Among Middle School Mathematics Teachers, Ceire H. Monahan
Fostering Mathematical Creativity Among Middle School Mathematics Teachers, Ceire H. Monahan
Theses, Dissertations and Culminating Projects
The purpose of this research was to understand in-service teachers’ experiences with and ideas about mathematical creativity after participating in a targeted professional development program. The professional development program encouraged participants to think creatively and foster students’ creativity. In this study I present the results from the main unit of analysis, 12 participants in a professional development program, along with a deep analysis of three exemplar teachers from each of the identified groups, adherence to traditional teaching practices (traditional), appreciation for teaching for creativity (creative but hesitant), and teaching for creativity (creative). The findings of this study highlight the combination …
Mining Social Media And Structured Data In Urban Environmental Management To Develop Smart Cities, Xu Du
Mining Social Media And Structured Data In Urban Environmental Management To Develop Smart Cities, Xu Du
Theses, Dissertations and Culminating Projects
This research presented the deployment of data mining on social media and structured data in urban studies. We analyzed urban relocation, air quality and traffic parameters on multicity data as early work. We applied the data mining techniques of association rules, clustering and classification on urban legislative history. Results showed that data mining could produce meaningful knowledge to support urban management. We treated ordinances (local laws) and the tweets about them as indicators to assess urban policy and public opinion. Hence, we conducted ordinance and tweet mining including sentiment analysis of tweets. This part of the study focused on NYC …
Sustainability Of Hard Apple Cider : An Environmental And Socio-Economic Assessment, Meghann N. Smith
Sustainability Of Hard Apple Cider : An Environmental And Socio-Economic Assessment, Meghann N. Smith
Theses, Dissertations and Culminating Projects
Agricultural sustainability is a fundamental requirement for environmental conservation, food production, and food security. In order to achieve agricultural sustainability, it is essential that policies are put in place to support sustainable practices, and that agricultural institutions are provided access supporting knowledge and technology. With this integral support, stakeholders can be better prepared to avoid issues such as eroding biodiversity and environmental quality as well as prepare for the inevitable challenges of climate change. This dissertation investigates the challenges and opportunities involved with the development of the hard apple cider industry in the United States’ Northeast. Hard apple cider is …
Using Text Mining And Machine Learning Classifiers To Analyze Stack Overflow, Taylor Morris
Using Text Mining And Machine Learning Classifiers To Analyze Stack Overflow, Taylor Morris
Dissertations, Master's Theses and Master's Reports
StackOverflow is an extensively used platform for programming questions. In this report, text mining and machine learning classifiers such as decision trees and Naive Bayes are used to evaluate whether a given question posted on StackOverflow will be closed or answered. While multiple models were used in the analysis, the performance for the models was no better than the majority classifier. Future work to develop better performing classifiers to understand why a question is closed or answered will require additional natural language processing or methods to address the imbalanced data.
Detecting Surface Interactions Via A Wearable Microphone To Improve Augmented Reality Text Entry, R. Habibi
Detecting Surface Interactions Via A Wearable Microphone To Improve Augmented Reality Text Entry, R. Habibi
Dissertations, Master's Theses and Master's Reports
This thesis investigates whether we can detect and distinguish between surface interaction events such as tapping or swiping using a wearable mic from a surface. Also, what are the advantages of new text entry methods such as tapping with two fingers simultaneously to enter capital letters and punctuation? For this purpose, we conducted a remote study to collect audio and video of three different ways people might interact with a surface. We also built a CNN classifier to detect taps. Our results show that we can detect and distinguish between surface interaction events such as tap or swipe via a …
Galaxy And Mass Assembly (Gama): The Interplay Between Galaxy Mass, Sfr, And Heavy Element Abundance In Paired Galaxy Sets, L. E. Garduno, M. A. Lara-Lopez, O. Lopez-Cruz, A. M. Hopkins, M. S. Owers, K. A. Pimbblet, Benne Holwerda
Galaxy And Mass Assembly (Gama): The Interplay Between Galaxy Mass, Sfr, And Heavy Element Abundance In Paired Galaxy Sets, L. E. Garduno, M. A. Lara-Lopez, O. Lopez-Cruz, A. M. Hopkins, M. S. Owers, K. A. Pimbblet, Benne Holwerda
Faculty and Staff Scholarship
We study the star formation rate (SFR), stellar mass (M), and the gas metallicity (Z) for 4636 galaxy pairs using the Galaxy And Mass Assembly (GAMA) survey. Our galaxy pairs lie in a redshift range of 0
Supporting Student Success And Persistence In Stem With Active Learning Approaches In Emerging Scholars Classrooms, David Miller, Jessica Deshler, Tim Mceldowney, John Stewart, Edgar Fuller, Matt Pascal, Lynnette Michaluk
Supporting Student Success And Persistence In Stem With Active Learning Approaches In Emerging Scholars Classrooms, David Miller, Jessica Deshler, Tim Mceldowney, John Stewart, Edgar Fuller, Matt Pascal, Lynnette Michaluk
Faculty & Staff Scholarship
Over the last several decades, Emerging Scholars Programs (ESPs) have incorporated active learning strategies and challenging problems into collegiate mathematics, resulting in students, underrepresented minority (URM) students in particular, earning at least half of a letter grade higher than other students in Calculus. In 2009, West Virginia University (WVU) adapted ESP models for use in Calculus I in an effort to support the success and retention of URM STEM students by embedding group and inquiry-based learning into a designated section of Calculus I. Seats in the class were reserved for URM and first- generation students. We anticipated that supporting students …
The Role Of Infrequently Mobile Boulders In Modulating Landscape Evolution And Geomorphic Hazards, Charles M. Shobe, Jens M. Turowski, Ron Nativ, Rachel C. Glade, Georgina L. Bennett, Benedetta Dini
The Role Of Infrequently Mobile Boulders In Modulating Landscape Evolution And Geomorphic Hazards, Charles M. Shobe, Jens M. Turowski, Ron Nativ, Rachel C. Glade, Georgina L. Bennett, Benedetta Dini
Faculty & Staff Scholarship
A landscape’s sediment grain size distribution is the product of, and an important influence on, earth surface processes and landscape evolution. Grains can be large enough that the motion of a single grain, infrequently mobile in size-selective transport systems, constitutes or triggers significant geomorphic change. We define these grains as boulders. Boulders affect landscape evolution; their dynamics and effects on landscape form have been the focus of substantial recent community effort. We review progress on five key questions related to how boulders influence the evolution of unglaciated, eroding landscapes: 1) What factors control boulder production on eroding hillslopes and the …
Super-Resolution Reconstruction Of Brain Magnetic Resonance Images Via Lightweight Autoencoder, J. Andrew, T.S.R. Mhatesh, Robin D. Sebastin, K. Martin Sagayam, Jennifer Eunice, Marc Pomplun, Helen Dang
Super-Resolution Reconstruction Of Brain Magnetic Resonance Images Via Lightweight Autoencoder, J. Andrew, T.S.R. Mhatesh, Robin D. Sebastin, K. Martin Sagayam, Jennifer Eunice, Marc Pomplun, Helen Dang
Faculty Works: MCS (1984-2023)
Magnetic Resonance Imaging (MRI) is useful to provide detailed anatomical information such as images of tissues and organs within the body that are vital for quantitative image analysis. However, typically the MR images acquired lacks adequate resolution because of the constraints such as patients’ comfort and long sampling duration. Processing the low resolution MRI may lead to an incorrect diagnosis. Therefore, there is a need for super resolution techniques to obtain high resolution MRI images. Single image super resolution (SR) is one of the popular techniques to enhance image quality. Reconstruction based SR technique is a category of single image …
Automated Sleep Stage Classification In Sleep Apnoea Using Convolutional Neural Networks, G. Naveen Sundar, D. Narmadha, A. Amir Anton Jone, K. Martin Sagayam, Helen Dang, Marc Pomplun
Automated Sleep Stage Classification In Sleep Apnoea Using Convolutional Neural Networks, G. Naveen Sundar, D. Narmadha, A. Amir Anton Jone, K. Martin Sagayam, Helen Dang, Marc Pomplun
Faculty Works: MCS (1984-2023)
A sleep disorder is a condition that adversely impacts one's ability to sleep well on a regular schedule. It also occurs as a consequence of numerous neurological sicknesses. These types of disorders can be investigated using laboratory-based polysomnography (PSG) signals. The detection of neurological disorders is exact and efficient thanks to the automated monitoring of sleep relegation stages. This automation method publicly presents a flexible deep learning model and machine learning approach utilizing raw electroencephalogram (EEG) signals. The deep learning model is a Deep Convolutional Neural Network (CNN) that analyses invariant time capacities and frequency actualities and collects assessment adaptations. …
A Novel Hybrid K-Means And Gmm Machine Learning Model For Breast Cancer Detection, P. Esther Jebarani, N. Umadevi, Helen Dang, Marc Pomplun
A Novel Hybrid K-Means And Gmm Machine Learning Model For Breast Cancer Detection, P. Esther Jebarani, N. Umadevi, Helen Dang, Marc Pomplun
Faculty Works: MCS (1984-2023)
Breast cancer is the second leading cause of death among a large number of women worldwide. It may be challenging for radiologists to diagnose and treat breast cancer. Consequently, primary care improves disease prevention and death. Early detection increases treatment options and saves life, which is the major target of this research. This research indicates the versatility of the methodology by integrating contemporary segmentation approaches with machine learning methods, which are developing areas of research. In the pre-processing process, an adaptive median filter is utilized for noise removal, enhancement of image quality, conservation of edges, and smoothing. This research makes …
How Much Can Potential Jurors Tell Us About Liability For Medical Artificial Intelligence?, W. Nicholson Price Ii, Sara Gerke, I. Glenn Cohen
How Much Can Potential Jurors Tell Us About Liability For Medical Artificial Intelligence?, W. Nicholson Price Ii, Sara Gerke, I. Glenn Cohen
Articles
Artificial intelligence (AI) is rapidly entering medical practice, whether for risk prediction, diagnosis, or treatment recommendation. But a persistent question keeps arising: What happens when things go wrong? When patients are injured, and AI was involved, who will be liable and how? Liability is likely to influence the behavior of physicians who decide whether to follow AI advice, hospitals that implement AI tools for physician use, and developers who create those tools in the first place. If physicians are shielded from liability (typically medical malpractice liability) when they use AI tools, even if patient injury results, they are more likely …
Higher Homotopy Invariants For Spaces And Maps, David Blanc, Mark W. Johnson
Higher Homotopy Invariants For Spaces And Maps, David Blanc, Mark W. Johnson
University Faculty Publications and Creative Works
For a pointed topological space X, we use an inductive construction of a simplicial resolution of X by wedges of spheres to construct a “higher homotopy structure” for X (in terms of chain complexes of spaces). This structure is then used to define a collection of higher homotopy invariants which suffice to recover X up to weak equivalence. It can also be used to distinguish between different maps f : X → Y which induce the same morphism f∗ : π∗X → π∗Y.
Jazz Colors: Pigment Identification In The Gouaches Used By Henri Matisse, Ana Martins, Anne Catherine Prud’Hom, Maroussia Duranton, Abed Haddad, Celine Daher, Anne Genachte-Le Bail, Tiffany Tang
Jazz Colors: Pigment Identification In The Gouaches Used By Henri Matisse, Ana Martins, Anne Catherine Prud’Hom, Maroussia Duranton, Abed Haddad, Celine Daher, Anne Genachte-Le Bail, Tiffany Tang
Publications and Research
Jazz, the illustrated book by Henri Matisse, is a testament to the vitality of the artist in the last decade of his career. The book consists of twenty illustrations reproduced in 370 copies using a stencil-based printing technique and the same Linel gouaches the artist had used for the original maquettes. This study reports on the comprehensive analysis carried out to identify the pigments in the gouaches used in Jazz by transmitted and reflectance infrared, Raman, SERS, and X-ray fluorescence spectroscopies, and describes the lightfastness of these gouaches as evaluated by microfaedometry. This study also highlights the necessity of …
Dimers, Orientifolds And Anomalies, Riccardo Argurio, Matteo Bertolini, Sebastían Franco, Eduardo Garcia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
Dimers, Orientifolds And Anomalies, Riccardo Argurio, Matteo Bertolini, Sebastían Franco, Eduardo Garcia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
Publications and Research
We study 4d N = 1 gauge theories engineered via D-branes at orientifolds of toric singularities, where gauge anomalies are cancelled without the introduction of non-compact flavor branes. Using dimer model techniques, we derive geometric criteria for establishing whether a given singularity can admit anomaly-free D-brane configurations purely based on its toric data and the type of orientifold projection. Our results therefore extend the dictionary between geometric properties of singularities and physical properties of the corresponding gauge theories.
Light-Ray Moments As Endpoint Contributions To Modular Hamiltonians, Daniel Kabat, Gilad Lifschytz, Phuc Nguyen, Debajyoti Sarkar
Light-Ray Moments As Endpoint Contributions To Modular Hamiltonians, Daniel Kabat, Gilad Lifschytz, Phuc Nguyen, Debajyoti Sarkar
Publications and Research
We consider excited states in a CFT, obtained by applying a weak unitary perturbation to the vacuum. The perturbation is generated by the integral of a local operator J(n) of modular weight n over a spacelike surface passing through x = 0. For |n| ≥ 2 the modular Hamiltonian associated with a division of space at x = 0 picks up an endpoint contribution, sensitive to the details of the perturbation (including the shape of the spacelike surface) at x = 0. The endpoint contribution is a sum of light-ray moments of the perturbing operator …
Color Charge Correlations In The Proton At Nlo: Beyond Geometry Based Intuition, Adrian Dumitru, Heikki Mäntysaari, Risto Paatelainen
Color Charge Correlations In The Proton At Nlo: Beyond Geometry Based Intuition, Adrian Dumitru, Heikki Mäntysaari, Risto Paatelainen
Publications and Research
Color charge correlators provide fundamental information about the proton structure. In this Letter, we evaluate numerically two-point color charge correlations in a proton on the light cone including the next-to-leading order corrections due to emission or exchange of a perturbative gluon. The non-perturbative valence quark structure of the proton is modelled in a way consistent with high-x proton structure data. Our results show that the correlator exhibits startlingly non-trivial behavior at large momentum transfer or central impact parameters, and that the color charge correlation depends not only on the impact parameter but also on the relative transverse momentum of …
Calabi-Yau Products: Graded Quivers For General Toric Calabi-Yaus, Sebastián Franco, Azeem Hasan
Calabi-Yau Products: Graded Quivers For General Toric Calabi-Yaus, Sebastián Franco, Azeem Hasan
Publications and Research
The open string sector of the topological B-model on CY (m + 2)-folds is described by m-graded quivers with superpotentials. This correspondence generalizes the connection between CY (m + 2)-folds and gauge theories on the worldvolume of D(5 − 2m)-branes for m = 0, . . . , 3 to arbitrary m. In this paper we introduce the Calabi-Yau product, a new algorithm that starting from the known quiver theories for a pair of toric CYm+2 and CYn+2 produces the quiver theory for a related CYm+n+3 …
Exclusion Statistics For Particles With A Discrete Spectrum, Stéphane Ouvry, Alexios P. Polychronakos
Exclusion Statistics For Particles With A Discrete Spectrum, Stéphane Ouvry, Alexios P. Polychronakos
Publications and Research
We formulate and study the microscopic statistical mechanics of systems of particles with exclusion statistics in a discrete one-body spectrum. The statistical mechanics of these systems can be expressed in terms of effective single-level grand partition functions obeying a generalization of the standard thermodynamic exclusion statistics equation of state. We derive explicit expressions for the thermodynamic potential in terms of microscopic cluster coefficients and show that the mean occupation numbers of levels satisfy a nesting relation involving a number of adjacent levels determined by the exclusion parameter. We apply the formalism to the harmonic Calogero model and point out a …