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math.FA2020
Lie brackets of nonsmooth vector fields and commutation of their flows
Chiara Rigoni, Eugene Stepanov, Dario Trevisan
It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz co…
math.DG2020
Towards geometric integration of rough differential forms
Eugene Stepanov, Dario Trevisan
We provide a draft of a theory of geometric integration of rough differential forms which are generalizations of classical (smooth) differential forms to similar objects with very…