The theory of rough paths via one-forms and the extension of an argument of Schwartz to rough differential equations

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An inequality of the hölder type, connected with stieltjes integration
Original
L. C. Young · 1936
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Singular integrals and differentiability properties of functions
E. M. Stein · 1970
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An algebraic theory of integration methods
J. C. Butcher · 1972
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La convergence de la série de picard pour les eds (equations différentielles stochastiques)
L. Schwartz · 1989
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Differential equations driven by rough signals. i. an extension of an inequality of lc young
T. Lyons · 1994
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Differential equations driven by rough signals
T. J. Lyons · 1998
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Hopf algebras, renormalization and noncommutative geometry
A. Connes and D. Kreimer · 1999
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Free lie algebras
C. Reutenauer · 2003
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Controlling rough paths
M. Gubinelli · 2004
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Differential equations driven by rough paths
T. J. Lyons, M. Caruana, and T. Lévy · 2007
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Ramification of rough paths
M. Gubinelli · 2010
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Fractional order taylor’s series and the neo-classical inequality
K. Hara and M. Hino · 2010
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Integration of time-varying cocyclic one-forms against rough paths
Original
T. J. Lyons and D. Yang · 2014
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