111 citations · 359 across the 19 of their papers we have counts for
5 papers · 1 filter
On the Lyapunov function for complex-balanced mass-action systems
Manoj Gopalkrishnan
We present a new proof, using the log-sum inequality, that the pseudo-Helmholtz free energy function is a Lyapunov function for complex-balanced mass-action systems. This proof is…
The Hot Bit I: The Szilard-Landauer Correspondence
Manoj Gopalkrishnan
We present a precise formulation of a correspondence between information and thermodynamics that was first observed by Szilard, and later studied by Landauer. The correspondence id…
Autocatalysis in Reaction Networks
Abhishek Deshpande, Manoj Gopalkrishnan
The persistence conjecture is a long-standing open problem in chemical reaction network theory. It concerns the behavior of solutions to coupled ODE systems that arise from applyin…
A coercion-resistant protocol for conducting elections by telephone
Manoj Gopalkrishnan
We present a protocol that allows voters to phone in their votes. Our protocol makes it expensive for a candidate and a voter to cooperate to prove to the candidate who the voter v…
A geometric approach to the Global Attractor Conjecture
Manoj Gopalkrishnan, Ezra Miller, Anne Shiu
This paper introduces the class of "strongly endotactic networks", a subclass of the endotactic networks introduced by G. Craciun, F. Nazarov, and C. Pantea. The main result states…