1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.OC2022
Gibbs Manifolds
Dmitrii Pavlov, Bernd Sturmfels, Simon Telen
Gibbs manifolds are images of affine spaces of symmetric matrices under the exponential map. They arise in applications such as optimization, statistics and quantum~physics, where…
cs.SC2022★ 1 cited
On realizing differential-algebraic equations by rational dynamical systems
Dmitrii Pavlov, Gleb Pogudin
Real-world phenomena can often be conveniently described by dynamical systems (that is, ODE systems in the state-space form). However, if one observes the state of the system only…
math.AC2021
From algebra to analysis: new proofs of theorems by Ritt and Seidenberg
Dmitrii Pavlov, Gleb Pogudin, Yury Razmyslov
Ritt's theorem of zeroes and Seidenberg's embedding theorem are classical results in differential algebra allowing to connect algebraic and model-theoretic results on nonlinear PDE…