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Books on the topic 'Diffusion geometry'

Author: Grafiati
Published: 11 March 2023

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1

ter Haar Romeny, Bart M., ed. Geometry-Driven Diffusion in Computer Vision. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-1699-4.

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2

Romeny, Bart M. Haar. Geometry-Driven Diffusion in Computer Vision. Dordrecht: Springer Netherlands, 1994.

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3

Haar Romeny, Bart M. ter., ed. Geometry-driven diffusion in computer vision. Dordrecht: Kluwer Academic, 1994.

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4

Bakry, Dominique, Ivan Gentil, and Michel Ledoux. Analysis and Geometry of Markov Diffusion Operators. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00227-9.

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5

Elworthy, K. David, Yves Le Jan, and Xue-Mei Li. On the Geometry of Diffusion Operators and Stochastic Flows. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0103064.

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6

Antonelli, P. L. Fundamentals of Finslerian Diffusion with Applications. Dordrecht: Springer Netherlands, 1999.

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7

The measurement of grain boundary geometry. Bristol: Institute of Physics Pub., 1993.

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8

Denzler, Jochen. Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems methods. Providence, Rhode Island: American Mathematical Society, 2014.

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9

Singh, Tej. Hexnem nodal neutronics code for two dimensional multi group diffusion calculations in hexagonal geometry. Mumbai: Bhabha Atomic Research Centre, 2005.

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10

Geiser, Juergen. Groundwater contamination: Discretization and simulation of systems for convection-diffusion-dispersion reactions. Hauppauge, N.Y: Nova Science Publishers, 2008.

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11

Dziuk, Gerhard, Luigi Ambrosio, Halil Mete Soner, Klaus Deckelnick, Masayasu Mimura, and Vsevolod A. Solonnikov. Mathematical Aspects of Evolving Interfaces: Lectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira, Funchal, Portugal, July 3-9, 2000 00. Berlin: Springer-Verlag Berlin/Heidelberg, 2003.

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12

A, Knauf, ed. Classical planar scattering by coulombic potentials. Berlin: Springer, 1992.

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13

G, Martella, ed. La ceramica a tenda: Diffusione e centri di produzione. Oxford, England: Archaeopress, 2001.

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14

la, Llave Rafael de, and Seara Tere M. 1961-, eds. A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Heuristics and rigorous verification on a model. Providence, R.I: American Mathematical Society, 2006.

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15

Isaac, Greber, and United States. National Aeronautics and Space Administration., eds. Three dimensional compressible turbulent flow computations for a diffusing S-duct with/without vortex generators. [Washington, DC]: National Aeronautics and Space Administration, 1994.

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16

Partial differential equations in action: From modelling to theory. Milan: Springer, 2009.

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17

Analysis And Geometry Of Markov Diffusion Operators. Springer International Publishing AG, 2013.

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18

Ledoux, Michel, Dominique Bakry, and Ivan Gentil. Analysis and Geometry of Markov Diffusion Operators. Springer London, Limited, 2013.

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19

Kearney, Dominic. Turbulent diffusion in channels of complex geometry. 2000.

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20

Ledoux, Michel, Dominique Bakry, and Ivan Gentil. Analysis and Geometry of Markov Diffusion Operators. Springer, 2016.

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21

Pinsky. "Diffusion Processes and Related Problems in Analysis, Volume I": Diffusions In Analysis And Geometry. Springer, 2012.

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22

Elworthy, K. D., Y. Le Jan, and Xue-Mei Li. On the Geometry of Diffusion Operators and Stochastic Flows. Springer London, Limited, 2007.

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23

Elworthy, K. D., Y. Le Jan, and X.-M. Li. On the Geometry of Diffusion Operators and Stochastic Flows. Springer-Verlag Telos, 2000.

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24

Randle, V. Measurement of Grain Boundary Geometry. Taylor & Francis Group, 2019.

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25

Pinsky, Mark A. Diffusion Processes and Related Problems in Analysis: Diffusions in Analysis and Geometry (Progress in Probability, Vol 22). Birkhauser, 1991.

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26

Stochastic Analysis on Manifolds (Graduate Studies in Mathematics). American Mathematical Society, 2002.

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27

Analysis for Diffusion Processes on Riemannian Manifolds. World Scientific Publishing Co Pte Ltd, 2013.

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28

A theoretical analysis of steady-state photocurrents in simple silicon diodes. Pasadena, Calif: National Aeronautics and Space Administration, Jet Propulsion Laboratory, California Institute of Technology, 1995.

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29

Epstein, Charles L., and Rafe Mazzeo. Wright-Fisher Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0002.

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This chapter introduces the geometric preliminaries needed to analyze generalized Kimura diffusions, with particular emphasis on Wright–Fisher geometry. It begins with a discussion of the natural domains of definition for generalized Kimura diffusions: polyhedra in Euclidean space or, more generally, abstract manifolds with corners. Amongst the convex polyhedra, the chapter distinguishes the subclass of regular convex polyhedra P. P is a regular convex polyhedron if it is convex and if near any corner, P is the intersection of no more than N half-spaces with corresponding normal vectors that are linearly independent. These definitions establish that any regular convex polyhedron is a manifold with corners. The chapter concludes by defining the general class of elliptic Kimura operators on a manifold with corners P and shows that there is a local normal form for any operator L in this class.
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30

Alfonsi, Aurélien. Affine Diffusions and Related Processes: Simulation, Theory and Applications. Springer, 2016.

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31

Alfonsi, Aurélien. Affine Diffusions and Related Processes: Simulation, Theory and Applications. Springer International Publishing AG, 2015.

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32

Alfonsi, Aurélien. Affine Diffusions and Related Processes: Simulation, Theory and Applications. Springer, 2015.

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33

Epstein, Charles L., and Rafe Mazzeo. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0001.

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This book proves the existence, uniqueness and regularity results for a class of degenerate elliptic operators known as generalized Kimura diffusions, which act on functions defined on manifolds with corners. It presents a generalization of the Hopf boundary point maximum principle that demonstrates, in the general case, how regularity implies uniqueness. The book is divided in three parts. Part I deals with Wright–Fisher geometry and the maximum principle; Part II is devoted to an analysis of model problems, and includes degenerate Hölder spaces; and Part III discusses generalized Kimura diffusions. This introductory chapter provides an overview of generalized Kimura diffusions and their applications in probability theory, model problems, perturbation theory, main results, and alternate approaches to the study of similar degenerate elliptic and parabolic equations.
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34

McCurdy, Dennis. Essay on the Means and Importance of Introducing the Natural Sciences into the Family Library: And Diffusing the Elements of Geometry into the Plan of the Popular Education. HardPress, 2020.

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35

Rickard, David. Framboids. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190080112.001.0001.

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Framboids may be the most astonishing and abundant natural features you have never heard of. These microscopic spherules of golden pyrite consist of thousands of even smaller microcrystals, often arranged in stunning geometric arrays. There are probably 1030 on Earth, and they are forming at a rate of 1020 every second. This means that there are a billion times more framboids than sand grains on Earth, and a million times more framboids than stars in the observable universe. They are all around us: they can be found in rocks of all ages and in present-day sediments, soils, and natural waters. The sulfur in the pyrite is mainly produced by bacteria, and many framboids contain organic matter. They are formed through burst nucleation of supersaturated solutions of iron and sulfide, followed by limited crystal growth in diffusion-dominated stagnant sediments. The framboids self-assemble as surface free energy is minimized and the microcrystals are attracted to each other by surface forces. Self-organization occurs through entropy maximization, and the microcrystals rotate into their final positions through Brownian motion. The final shape of the framboids is often actually polygonal or partially facetted rather than spherical, as icosahedral microcrystal packing develops. Their average diameter is around 6 microns and the average microcrystal size is about 0.1 microns. There is no significant change in these dimensions with time: the framboid is an exceptionally stable structure, and the oldest may be 2.9 billion years old. This means that they provide samples of the chemistry of ancient environments.
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36

Partial Differential Equations in Action: From Modelling to Theory. Springer International Publishing AG, 2023.

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37

Partial Differential Equations in Action: From Modelling to Theory. Springer, 2015.

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38

Salsa, Sandro, and Gianmaria Verzini. Partial Differential Equations in Action: Complements and Exercises. Springer International Publishing AG, 2015.

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39

Salsa, Sandro. Partial Differential Equations in Action: From Modelling to Theory. Springer International Publishing AG, 2017.

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40

Salsa, Sandro. Partial Differential Equations in Action: From Modelling to Theory. Springer London, Limited, 2015.

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41

Salsa, Sandro. Partial Differential Equations in Action: From Modelling to Theory. Springer London, Limited, 2016.

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42

Salsa, Sandro, and Gianmaria Verzini. Partial Differential Equations in Action: Complements and Exercises. Springer, 2015.

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