2 citations · 3 across the 6 of their papers we have counts for
6 papers
Realizations through Weakly Reversible Networks and the Globally Attracting Locus
Samay Kothari, Jiaxin Jin, Abhishek Deshpande
We investigate the possibility that for any given reaction rate vector associated with a network , there exists another network with a corresponding reaction rate vecto…
The toric locus of a reaction network is a smooth manifold
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We show that the toric locus of a reaction network is a smoothly embedded submanifold of the Euclidean space. More precisely, we prove that the toric locus of a reaction network is…
A Lower Bound on the Dimension of the -Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Polynomial dynamical systems (i.e. dynamical systems with polynomial right hand side) are ubiquitous in applications, especially as models of reaction networks and interaction netw…
Weakly reversible deficiency one realizations of polynomial dynamical systems: an algorithmic perspective
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Given a dynamical system with polynomial right-hand side, can it be generated by a reaction network that possesses certain properties? This question is important because some netwo…
Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Systems of differential equations with polynomial right-hand sides are very common in applications. In particular, when restricted to the positive orthant, they appear naturally (a…
Exponential Mixing of Vlasov equations under the effect of Gravity and Boundary
Jiaxin Jin, Chanwoo Kim
In this paper, we study exponentially fast mixing induced/enhanced by gravity and stochastic boundary in the kinetic theory of Vlasov equations. We consider the Vlasov equations wi…