34 citations · 269 across the 25 of their papers we have counts for
4 papers · 1 filter
Hypoellipticity and the Mori-Zwanzig formulation of stochastic differential equations
Yuanran Zhu, Daniele Venturi
We develop a thorough mathematical analysis of the effective Mori-Zwanzig (EMZ) equation governing the dynamics of noise-averaged observables in stochastic differential equations d…
Faber approximation to the Mori-Zwanzig equation
Yuanran Zhu, Daniele Venturi
We develop a new effective approximation of the Mori-Zwanzig equation based on operator series expansions of the orthogonal dynamics propagator. In particular, we study the Faber s…
Duality and Conditional Expectations in the Nakajima-Mori-Zwanzig Formulation
Jason M. Dominy, Daniele Venturi
We develop a new operator algebraic formulation of the Nakajima-Mori-Zwanzig (NMZ) method of projections. The new theory is built upon rigorous mathematical foundations, and it can…
Conjugate flow action functionals
Daniele Venturi
We present a new general method to construct an action functional for a non-potential field theory. The key idea relies on representing the governing equations of the theory relati…