Relevant bibliographies by topics / Geometric measure and integration theory

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Geometric measure and integration theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Geometric measure and integration theory.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Geometric measure and integration theory"

1

Langer, Carlotta, and Nihat Ay. "Complexity as Causal Information Integration." Entropy 22, no. 10 (2020): 1107. http://dx.doi.org/10.3390/e22101107.

Full text
Abstract:
Complexity measures in the context of the Integrated Information Theory of consciousness try to quantify the strength of the causal connections between different neurons. This is done by minimizing the KL-divergence between a full system and one without causal cross-connections. Various measures have been proposed and compared in this setting. We will discuss a class of information geometric measures that aim at assessing the intrinsic causal cross-influences in a system. One promising candidate of these measures, denoted by ΦCIS, is based on conditional independence statements and does satisf
APA, Harvard, Vancouver, ISO, and other styles
2

Blekherman, Grigoriy, and Lawrence Fialkow. "The core variety and representing measures in the truncated moment problem." Journal of Operator Theory 84, no. 1 (2020): 185–209. http://dx.doi.org/10.7900/jot.2019mar15.2239.

Full text
Abstract:
The truncated moment problem asks for conditions so that a linear functional L on the vector space of real n-variable polynomials of degree at most d can be written as integration with respect to a positive Borel measure μ on Rn. More generally, let L act on a finite dimensional space of Borel-measurable functions defined on a T1 topological space S. Using an iterative geometric construction, we associate to L a subset of S called the \textit{core variety} CV(L). Our main result is that L has a representing measure μ if and only if CV(L) is nonempty. In this case, L has a finitely atomic repre
APA, Harvard, Vancouver, ISO, and other styles
3

BLOCH, ANTHONY M., and ARIEH ISERLES. "COMMUTATORS OF SKEW-SYMMETRIC MATRICES." International Journal of Bifurcation and Chaos 15, no. 03 (2005): 793–801. http://dx.doi.org/10.1142/s0218127405012417.

Full text
Abstract:
In this paper we develop a theory for analysing the "radius" of the Lie algebra of a matrix Lie group, which is a measure of the size of its commutators. Complete details are given for the Lie algebra 𝔰𝔬(n) of skew symmetric matrices where we prove [Formula: see text], X, Y ∈ 𝔰𝔬(n), for the Frobenius norm. We indicate how these ideas might be extended to other matrix Lie algebras. We discuss why these ideas are of interest in applications such as geometric integration and optimal control.
APA, Harvard, Vancouver, ISO, and other styles
4

Miller, Michael, Daniel Tward, and Alain Trouvé. "Molecular Computational Anatomy: Unifying the Particle to Tissue Continuum via Measure Representations of the Brain." BME Frontiers 2022 (November 7, 2022): 1–16. http://dx.doi.org/10.34133/2022/9868673.

Full text
Abstract:
Objective. The objective of this research is to unify the molecular representations of spatial transcriptomics and cellular scale histology with the tissue scales of computational anatomy for brain mapping. Impact Statement. We present a unified representation theory for brain mapping based on geometric varifold measures of the microscale deterministic structure and function with the statistical ensembles of the spatially aggregated tissue scales. Introduction. Mapping across coordinate systems in computational anatomy allows us to understand structural and functional properties of the brain a
APA, Harvard, Vancouver, ISO, and other styles
5

Zaghi, Arash. "Integrated Information in Relational Quantum Dynamics (RQD)." Applied Sciences 15, no. 13 (2025): 7521. https://doi.org/10.3390/app15137521.

Full text
Abstract:
We introduce a quantum integrated-information measure Φ for multipartite states within the Relational Quantum Dynamics (RQD) framework. Φ(ρ) is defined as the minimum quantum Jensen–Shannon distance between an n-partite density operator ρ and any product state over a bipartition of its subsystems. We prove that its square root induces a genuine metric on state space and that Φ is monotonic under all completely positive trace-preserving maps. Restricting the search to bipartitions yields a unique optimal split and a unique closest product state. From this geometric picture, we derive a canonica
APA, Harvard, Vancouver, ISO, and other styles
6

Schiller, Vivian, Sandra Klaus, Ali Bilen, and Gisela Lanza. "In-Process Monitoring of Hobbing Process Using an Acoustic Emission Sensor and Supervised Machine Learning." Algorithms 16, no. 4 (2023): 183. http://dx.doi.org/10.3390/a16040183.

Full text
Abstract:
The complexity of products increases considerably, and key functions can often only be realized by using high-precision components. Microgears have a particularly complex geometry and thus the manufacturing requirements often reach technological limits. Their geometric deviations are relatively large in comparison to the small component size and thus have a major impact on the functionality in terms of generating unwanted noise and vibrations in the final product. There are still no readily available production-integrated measuring methods that enable quality control of all produced microgears
APA, Harvard, Vancouver, ISO, and other styles
7

Vincze, Csaba, and Ábris Nagy. "On Taxicab Distance Mean Functions and their Geometric Applications: Methods, Implementations and Examples." Fundamenta Informaticae 189, no. 2 (2023): 145–69. http://dx.doi.org/10.3233/fi-222156.

Full text
Abstract:
A distance mean function measures the average distance of points from the elements of a given set of points (focal set) in the space. The level sets of a distance mean function are called generalized conics. In case of infinite focal points the average distance is typically given by integration over the focal set. The paper contains a survey on the applications of taxicab distance mean functions and generalized conics’ theory in geometric tomography: bisection of the focal set and reconstruction problems by coordinate X-rays. The theoretical results are illustrated by implementations in Maple,
APA, Harvard, Vancouver, ISO, and other styles
8

Bonotto, E. M., M. Federson, and P. Muldowney. "The Black–Scholes Equation with Impulses at Random Times Via Generalized Riemann Integral." Proceedings of the Singapore National Academy of Science 15, no. 01 (2021): 45–59. http://dx.doi.org/10.1142/s2591722621400068.

Full text
Abstract:
The classical pricing theory requires that the simple sets of outcomes are extended, using the Kolmogorov Extension Theorem, to a sigma-algebra of measurable sets in an infinite-dimensional sample space whose elements are continuous paths; the process involved are represented by appropriate stochastic differential equations (using Itô calculus); a suitable measure for the sample space can be found by means of the Girsanov and Radon–Nikodym Theorems; the derivative asset valuation is determined by means of an expression using Lebesgue integration. It is known that if we replace Lebesgue’s by th
APA, Harvard, Vancouver, ISO, and other styles
9

Chen, Bang-Yen, and Shihshu (Walter) Wei. "Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology." Axioms 14, no. 3 (2025): 162. https://doi.org/10.3390/axioms14030162.

Full text
Abstract:
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics. For example, Connections on Fiber Bundles in mathematics, and Gauge Fields in physics are exactly the same. In n-dimensional geometry, a fundamental notion is the “duality” between chains and cochains, or domains of integration and the integrands. In this paper, we extend ideas given in our earlier articles and connect seemingly unrelated areas of F-harmonic maps, f-harmonic maps,
APA, Harvard, Vancouver, ISO, and other styles
10

Fang, Huiqing, and Zhaohui Qi. "A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force." Mathematical Problems in Engineering 2016 (2016): 1–16. http://dx.doi.org/10.1155/2016/8980676.

Full text
Abstract:
Based on geometrically exact beam theory, a hybrid interpolation is proposed for geometric nonlinear spatial Euler-Bernoulli beam elements. First, the Hermitian interpolation of the beam centerline was used for calculating nodal curvatures for two ends. Then, internal curvatures of the beam were interpolated with a second interpolation. At this point, C1 continuity was satisfied and nodal strain measures could be consistently derived from nodal displacement and rotation parameters. The explicit expression of nodal force without integration, as a function of global parameters, was founded by us
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Geometric measure and integration theory"

1

Villa, E. "Methods of geometric measure theory in stochastic geometry." Doctoral thesis, Università degli Studi di Milano, 2007. http://hdl.handle.net/2434/28369.

Full text
Abstract:
All the results of the present thesis have been obtained facing problems related to the study of the so called birth-and-growth stochastic processes, relevant in several real applications, like crystallization processes, tumour growth, angiogenesis, etc. We have introduced a Delta formalism, à la Dirac-Schwartz, for the description of random measures associated with random closed sets in R^d of lower dimensions, such that the usual Dirac delta at a point follows as particular case, in order to provide a natural framework for deriving evolution equations for mean densities at integer Hausdorff
APA, Harvard, Vancouver, ISO, and other styles
2

Short, K. M. "Geometric approach to path integration in string theory." Thesis, Imperial College London, 1988. http://hdl.handle.net/10044/1/47256.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Massaccesi, Annalisa. "Currents with coefficients in groups, applications and other problems in Geometric Measure Theory." Doctoral thesis, Scuola Normale Superiore, 2014. http://hdl.handle.net/11384/85703.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Nguyen, Khai/T. "The regularity of the minimum time function via nonsmooth analysis and geometric measure theory." Doctoral thesis, Università degli studi di Padova, 2010. http://hdl.handle.net/11577/3427404.

Full text
Abstract:
Several regularity results on the minimum time function are proved, together with regularity properties of a class of continuous functions whose hypograph satisfies an external sphere condition.<br>Si dimostrano risultati di regolarita' per la funzione tempo minimo, mediante particolari proprieta' di una classe di funzioni continue il cui ipografico soddisfa una condizione di sfera esterna.
APA, Harvard, Vancouver, ISO, and other styles
5

Odell, Anders. "Quantum transport and geometric integration for molecular systems." Doctoral thesis, KTH, Tillämpad materialfysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-26780.

Full text
Abstract:
Molecular electronics is envisioned as a possible next step in device miniaturization. It is usually taken to mean the design and manufacturing of electronic devices and applications where organic molecules work as the fundamental functioning unit. It involves the measurement and manipulation of electronic response and transport in molecules attached to conducting leads. Organic molecules have the advantages over conventional solid state electronics of inherent small sizes, endless chemical diversity and ambient temperature low cost manufacturing. In this thesis we investigate the switching an
APA, Harvard, Vancouver, ISO, and other styles
6

CASTELPIETRA, MARCO. "Metric, geometric and measure theoretic properties of nonsmooth value functions." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2007. http://hdl.handle.net/2108/202601.

Full text
Abstract:
La funzione valore è un nodo centrale del controllo ottimo. `E noto che la funzione valore può essere irregolare anche per sistemi molto regolari. Pertanto l’analisi non liscia diviene un importante strumento per studiarne le proprietà, anche grazie alle numerose connessioni con la semiconcavità. Sotto opportune ipotesi, la funzione valore è localmente semiconcava. Questa proprietà è connessa anche con la proprietà di sfera interna dei suoi insiemi di livello e dei loro perimetri. In questa tesi introduciamo l’analisi non-liscia e le sue connessioni con funzioni semiconcave ed insiemi di perim
APA, Harvard, Vancouver, ISO, and other styles
7

Morgan, Frank. "Compactness." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96708.

Full text
Abstract:
In my opinion, compactness is the most important concept in mathematics. We 'll track it from the one-dimensional real line in calculus to infinite dimensional spaces of functions and surfaces and see what it can do.
APA, Harvard, Vancouver, ISO, and other styles
8

SEMOLA, DANIELE. "Recent developments about Geometric Analysis on RCD(K,N) spaces." Doctoral thesis, Scuola Normale Superiore, 2020. http://hdl.handle.net/11384/94195.

Full text
Abstract:
This thesis is about some recent developments on Geometric Analysis and Geometric Measure Theory on RCD(K,N) metric measure spaces that have been obtained in [8,48,49,51,52,171]. After the preliminary Chapter 1, where we collect the basic notions of the theory relevant for our purposes, Chapter 2 is dedicated to the presentation of a simplified approach to the structure theory of RCD(K,N) spaces via δ- splitting maps developed in collaboration with Brué and Pasqualetto. The strategy is similar to the one adopted by Cheeger-Colding in the theory of Ricci limit spaces and it is suitable for ad
APA, Harvard, Vancouver, ISO, and other styles
9

Donzella, Michael A. "The Geometry of Rectifiable and Unrectifiable Sets." Kent State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1404332888.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Kissel, Kris. "Generalizations of a result of Lewis and Vogel /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5741.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Geometric measure and integration theory"

1

1949-, Parks Harold R., ed. Geometric integration theory. Birkhäuser, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

service), SpringerLink (Online, ed. Geometric Measure Theory and Minimal Surfaces. Springer-Verlag Berlin Heidelberg, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

1963-, Giannopoulos Apostolos, and Milman Vitali D. 1939-, eds. Asymptotic geometric analysis. American Mathematical Society, 2015.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Nicola, Gigli, Savaré Giuseppe, Struwe Michael 1955-, and SpringerLink (Online service), eds. Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Birkhäuser Basel, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Federer, Herbert. Geometric Measure Theory. Edited by B. Eckmann and B. L. van der Waerden. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Federer, Herbert. Geometric measure theory. Springer, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Whitney, Hassler. Geometric integration theory. Dover Publications, 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Krantz, Steven, and Harold Parks. Geometric Integration Theory. Birkhäuser Boston, 2008. http://dx.doi.org/10.1007/978-0-8176-4679-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

author, Rosen Daniel 1980, ed. Function theory on symplectic manifolds. American Mathematical Society, 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Mitrea, Dorina. Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis. Birkhäuser Boston, 2013.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Geometric measure and integration theory"

1

Federer, Herbert. "Homological integration theory." In Geometric Measure Theory. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Doob, J. L. "Integration." In Measure Theory. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0877-8_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Marín, Juan, José Martell, Dorina Mitrea, Irina Mitrea, and Marius Mitrea. "Geometric Measure Theory." In Progress in Mathematics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08234-4_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Federer, Herbert. "General measure theory." In Geometric Measure Theory. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Federer, Herbert. "Introduction." In Geometric Measure Theory. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Federer, Herbert. "Grassmann algebra." In Geometric Measure Theory. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Federer, Herbert. "Rectifiability." In Geometric Measure Theory. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Federer, Herbert. "Applications to the calculus of variations." In Geometric Measure Theory. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-62010-2_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

"Invariant Measures and the Construction of Haar Measure." In Geometric Integration Theory. Birkhäuser Boston, 2008. http://dx.doi.org/10.1007/978-0-8176-4679-0_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

"Carathéodory’s Construction and Lower-Dimensional Measures." In Geometric Integration Theory. Birkhäuser Boston, 2008. http://dx.doi.org/10.1007/978-0-8176-4679-0_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Geometric measure and integration theory"

1

Pavel, Marilena, Mark Voskuijl, Carmine Varriale, and Damy Zilver. "Optimal Approaches of Unmanned Helicopters in Wind-Sensitive Maritime Operations." In Vertical Flight Society 81st Annual Forum and Technology Display. The Vertical Flight Society, 2025. https://doi.org/10.4050/f-0081-2025-248.

Full text
Abstract:
Helicopters' Vertical Take-Off and Landing (VTOL) capabilities are essential for maritime operations, especially for small-deck naval vessels. Unmanned Aerial Vehicles (UAVs) offer a cheaper, expendable, and efficient alternative for certain tasks, such as reducing pilot risk and lowering fuel consumption. While the procedures to approach and land on (moving) ships are standardized and bound to established operational limits in the case of crewed helicopters, UAVs lack such guidelines. This study investigates optimal rotary-wing UAV approach trajectories to a moving ship, for varying wind cond
APA, Harvard, Vancouver, ISO, and other styles
2

Toro, Tatiana. "Potential Analysis Meets Geometric Measure Theory." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0107.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Zhao, Yulin. "Development of systematic measurement technology for girls’ breast size based on humanistic technology." In Intelligent Human Systems Integration (IHSI 2024) Integrating People and Intelligent Systems. AHFE International, 2024. http://dx.doi.org/10.54941/ahfe1004482.

Full text
Abstract:
The breasts of young girl have dynamic changes in different growth and development stages, and the adolescence is the most important. According to nearly half a century’s research, due to the imprecise measurement standards (easily displaced breast point, blurred breast boundary) and technical methods (simple upper and lower breast sizes, with no consideration for dynamically developed breast sizes), 80%-85% of girls don’t know how to choose suitable underwear. The purpose of this paper is to establish a systematic measurement method and technology of breast sizes based on the special physiolo
APA, Harvard, Vancouver, ISO, and other styles
4

Rodriguez Hertz, Federico. "Measure Theory and Geometric Topology in Dynamics." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0120.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Jiang, Lei. "General Nonlinear Analyses Using a Co-Rotational Finite Element Formulation." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0580.

Full text
Abstract:
Abstract In this paper, we describe the development of nonlinear analysis capabilities in our general-purpose finite element program, VAST, for combined geometrically and materially nonlinear analyses of shell and beam structures. This development is based on a co-rotational formulation, in which the total displacement field is divided into two parts. The first part corresponds to the rigid body motion and fully characterizes the geometric nonlinearity in the problem, whereas the second part represents the pure relative deformation and is solely involved in the constitutive relations. Because
APA, Harvard, Vancouver, ISO, and other styles
6

Bär, Sebastian, and Michael Groß. "Higher order accurate geometric integration in endochronic theory." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992483.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Edalat, Abbas. "A computable approach to measure and integration theory." In 22nd Annual IEEE Symposium on Logic in Computer Science (LICS 2007). IEEE, 2007. http://dx.doi.org/10.1109/lics.2007.5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Shcherbakov, Dmitry, and Matthias Ehrhardt. "Geometric Numerical Integration Structure-Preserving Algorithms for QCD Simulations." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0327.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Goldluecke, Bastian, and Daniel Cremers. "An approach to vectorial total variation based on geometric measure theory." In 2010 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2010. http://dx.doi.org/10.1109/cvpr.2010.5540194.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Boutin, William, Masoud Yekani Fard, Maximillian Westby, and Tyler Norkus. "Characterizing Laminated Composite Materials Utilizing the Reinforced Mixed-Mode Bending Apparatus." In ASME 2024 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2024. https://doi.org/10.1115/imece2024-144652.

Full text
Abstract:
Abstract The accuracy of fracture toughness is pivotal for the safety of composite and nanocomposite systems, with various techniques developed to measure fracture energy across different modes. Apparatus compliance issues arising from geometric non-linearities remain a significant concern and warrant further investigation. In the late 1980s, NASA introduced the Mixed-Mode Bending (MMB) apparatus to assess mixed-mode I-II strain energy release rates. Very recently, Arizona State University (ASU) researchers refined MMB into the Reinforced Mixed-Mode Bending (RMMB) apparatus for improved accura
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Geometric measure and integration theory' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography