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Books on the topic 'Diffusions on manifolds with singularities'

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Published: 14 March 2023

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1

Hertling, Klaus. Frobenius Manifolds: Quantum Cohomology and Singularities. Wiesbaden: Vieweg+Teubner Verlag, 2004.

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2

Schulze, Bert-Wolfgang. Pseudo-differential operators on manifolds with singularities. Amsterdam: North-Holland, 1991.

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3

Frobenius manifolds and moduli spaces for singularities. Cambridge: Cambridge University Press, 2002.

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4

Schulze, Bert-Wolfgang, and Hans Triebel, eds. Symposium “Analysis on Manifolds with Singularities”, Breitenbrunn 1990. Wiesbaden: Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-11577-9.

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5

Symposium "Analysis on Manifolds with Singularities," (1990 Breitenbrunn, Saxony, Germany). Symposium "Analysis on Manifolds with Singularities": Breitenbrunn, 1990. Stuttgart: Teubner, 1992.

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6

Unfolding CR singularities. Providence, R.I: American Mathematical Society, 2009.

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7

Bert-Wolfgang, Schulze, ed. Crack theory and edge singularities. Boston: Kluwer Academic Publishers, 2003.

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8

Katok, Anatole, Jean-Marie Strelcyn, François Ledrappier, and Feliks Przytycki. Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0099031.

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9

Jean-Marie, Strelcyn, ed. Invariant manifolds, entropy, and billiards: Smooth maps with singularities. Berlin: Springer-Verlag, 1986.

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10

Manifolds with singularities and the Adams-Novikov spectral sequence. Cambridge [England]: Cambridge University Press, 1992.

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11

Nazaĭkinskiĭ, V. E. Elliptic theory on singular manifolds. Boca Raton: Chapman & Hall/CRC, 2006.

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12

Sharko, V. V. Functions on manifolds: Algebraic and topological aspects. Providence, R.I: American Mathematical Society, 1993.

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13

Robert, Budzyński, and Banach Center Symposium on Differential Geometry and Mathematical Physics (1995 : Warsaw, Poland), eds. Symplectic singularities and geometry of gauge fields. Warszawa: Polish Academy of Sciences, Institute of Mathematics, 1997.

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14

Sharko, V. V. Funkt͡s︡ii na mnogoobrazii͡a︡kh: Algebraicheskie i topologicheskie aspekty. Kiev: Nauk. dumka, 1990.

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15

Institut Elie Cartan. Equipe associée d'Analyse Globale no. 839, ed. Journées complexes 85. Vandoeuvre-lès-Nancy: Université de Nancy I, Institut de Mathématiques Pures Elie Cartan, 1986.

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16

AMS Special Session on Gromov-Witten Theory of Spin Curves and Orbifolds (2003 San Francisco, Calif.). Gromov-Witten theory of spin curves and orbifolds: AMS Special Session on Gromov-Witten Theory of Spin Curves and Orbifolds, May 3-4, 2003, San Francisco State University, San Francisco, California. Edited by Jarvis Tyler Jamison 1966-, Kimura Takashi 1963-, and Vaintrob Arkady 1956-. Providence, R.I: American Mathematical Society, 2006.

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17

1968-, Goryunov Victor, Houston Kevin 1968-, and Wik-Atique Roberta 1964-, eds. Real and complex singularities: XI International Workshop on Real and Complex Singularities, July 27-August 1, 2010, Universidade de São Paulo, São Carlos, SP Brazil. Providence, R.I: American Mathematical Society, 2012.

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18

M, Gusein-Zade S., Varchenko A. N, and SpringerLink (Online service), eds. Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals. Boston: Birkhäuser Boston, 2012.

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19

M, Gusein-Zade S., Varchenko A. N, and SpringerLink (Online service), eds. Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts. Boston: Birkhäuser Boston, 2012.

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20

1949-, Libgober A. (Anatoly), Cogolludo-Agustín José Ignacio, and Hironaka Eriko 1962-, eds. Topology of algebraic varieties and singularities: Conference in honor of Anatoly Libgober's 60th birthday, June 22-26, 2009, Jaca, Huesca, Spain. Providence, R.I: American Mathematical Society, 2011.

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21

Singularity theory, rod theory, and symmetry-breaking loads. Berlin: Springer-Verlag, 1989.

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22

Ellwood, D. (David), 1966- editor of compilation, Rodnianski, Igor, 1972- editor of compilation, Staffilani, Gigliola, 1966- editor of compilation, and Wunsch, Jared, editor of compilation, eds. Evolution equations: Clay Mathematics Institute Summer School, evolution equations, Eidgenössische Technische Hochschule, Zürich, Switzerland, June 23-July 18, 2008. Providence, Rhode Island: American Mathematical Society, 2013.

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23

Noncommutative geometry and global analysis: Conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany. Providence, R.I: American Mathematical Society, 2011.

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24

1953-, Campillo Antonio, ed. Zeta functions in algebra and geometry: Second International Workshop on Zeta Functions in Algebra and Geometry, May 3-7, 2010, Universitat de Les Illes Balears, Palma de Mallorca, Spain. Providence, R.I: American Mathematical Society, 2012.

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25

Epstein, Charles L., and Rafe Mazzeo. Degenerate Diffusion Operators Arising in Population Biology (AM-185). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.001.0001.

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Abstract:
This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the martingale problem and therefore the existence of the associated Markov process. The book uses an “integral kernel method” to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. The book establishes the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hölder spaces. It shows that the semigroups defined by these operators have holomorphic extensions to the right half plane. The book also demonstrates precise asymptotic results for the long-time behavior of solutions to both the forward and backward Kolmogorov equations.
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26

(Editor), Claus Hertling, and Matilde Marcolli (Editor), eds. Frobenius Manifolds: Quantum Cohomology and Singularities. Vieweg, 2004.

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27

Hertling, Claus. Frobenius Manifolds: Quantum Cohomology and Singularities. Vieweg+Teubner Verlag, 2012.

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28

Pseudo-Differential Operators on Manifolds with Singularities. Elsevier, 1991. http://dx.doi.org/10.1016/s0168-2024(08)x7012-2.

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29

Hertling, Claus. Frobenius Manifolds and Moduli Spaces for Singularities. Cambridge University Press, 2009.

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30

Hertling, Claus, W. Fulton, A. Katok, B. Bollobas, and F. Kirwan. Frobenius Manifolds and Moduli Spaces for Singularities. Cambridge University Press, 2005.

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31

Hertling, Claus. Frobenius Manifolds and Moduli Spaces for Singularities. Cambridge University Press, 2002.

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32

Schulze, B. W. Pseudo-Differential Operators on Manifolds with Singularities. Elsevier Science & Technology Books, 1991.

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33

Triebel, Hans, and Bert-Wolfgang Schulze. Symposium Analysis on Manifolds with Singularities , Breitenbrunn 1990. Springer Vieweg. in Springer Fachmedien Wiesbaden GmbH, 2014.

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34

Triebel, Hans, and Bert-Wolfgang Schulze. Symposium Analysis on Manifolds with Singularities , Breitenbrunn 1990. Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 2013.

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35

Ledrappier, François, Jean-Marie Strelcyn, Anatole Katok, and Feliks Przytycki. Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities. Springer London, Limited, 2006.

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36

Botvinnik, Boris I. Manifolds with Singularities and the Adams-Novikov Spectral Sequence. Cambridge University Press, 2010.

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37

Katok, Anatole. Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities. Springer, 1987.

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38

Botvinnik, Boris I. Manifolds with Singularities and the Adams-Novikov Spectral Sequence. Cambridge University Press, 2011.

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39

Singularities of smooth mappings with additional structures. Moscow: Maik Nauka/Interperiodica Publishing, 1995.

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40

Nazaikinskii, Vladimir E., Bert-Wolfgang Schulze, Boris Yu Sternin, and Anton Yu Savin. Elliptic Theory on Singular Manifolds. Taylor & Francis Group, 2005.

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41

(Editor), Edward Bierstone, Boris Khesin (Editor), Askold Khovanskii (Editor), and Jerrold E. Marsden (Editor), eds. The Arnoldfest: Proceedings of a Conference in Honour of V.I. Arnold for His Sixtieth Birthday (Fields Institute Communications, V. 24). American Mathematical Society, 1999.

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42

Sergio, Albeverio, ed. Parabolicity, Volterra calculus, and conical singularities. Boston: Birkhäuser Verlag, 2002.

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43

Parabolicity, Volterra Calculus, and Conical Singularities. Birkhauser, 2002.

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44

Demuth, Michael, Elmar Schrohe, Bert-Wolfganag Schulze, and Johannes Sjo. Spectral Theory, Microlocal Analysis, Singular Manifolds. Wiley-VCH Verlag GmbH, 1998.

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45

F, Pierce John. Singularity Theory, Rod Theory, and Symmetry Breaking Loads. Springer London, Limited, 2006.

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46

F, Pierce John. Singularity Theory, Rod Theory, and Symmetry Breaking Loads. Springer, 1989.

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47

Symposium "Analysis on Manifolds with Singularities": Breitenbrunn, 1990 (Teubner-Texte zur Mathematik). Teubner, 1992.

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48

Nazaikinskii, Vladimir E., Bert-Wolfgang Schulze, Boris Yu Sternin, and Anton Yu Savin. Elliptic Theory on Singular Manifolds. Taylor & Francis Group, 2019.

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49

Saeki, Osamu. Topology of Singular Fibers of Differentiable Maps. Springer, 2004.

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50

Saeki, Osamu. Topology of Singular Fibers of Differentiable Maps. Springer London, Limited, 2004.

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