E. Stepanov

activity

20172020

collaborators

4 papers

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…

math.FA2019

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich

Giovanni Alberti, Eugene Stepanov, Dario Trevisan

We show that geometric integrals of the type $\int_{Ω} f d g^{1} \land d g^{2}$ can be defined over a two-dimensional domain $Ω$ when the functions $f$ , $g^{1}$ , $g^2\colon \mathbb{R}^…

physics.chem-ph2019

Structural transition states explored with minimalist coarse grained models: applications to Calmodulin

Francesco Delfino, Yuri Porozov, Eugene Stepanov +2

Transitions between different conformational states are ubiquitous in proteins, being involved in signaling, catalysis and other fundamental activities in cells. However, modeling…

math.MG2017

Self-contracted curves have finite length

Eugene Stepanov, Yana Teplitskaya

A curve $θ$ : $I \to E$ in a metric space $E$ equipped with the distance $d$ , where $I \subset R$ is a (possibly unbounded) interval, is called self-contracted, if for any triple of…

Towards geometric integration of rough differential forms

Integration of nonsmooth 2-forms: from Young to Itô and Stratonovich

Structural transition states explored with minimalist coarse grained models: applications to Calmodulin

Self-contracted curves have finite length

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich