33 citations · 120 across the 8 of their papers we have counts for
8 papers
Phase transitions beyond criticality: extending Ising universal scaling functions to describe entire phases
David Hathcock, James P. Sethna
Universal scaling laws only apply asymptotically near critical phase transitions. We propose a general scheme, based on normal form theory of renormalization group flows, for incor…
Normal forms, universal scaling functions, and extending the validity of the RG
James P. Sethna, David Hathcock, Jaron Kent-Dobias +1
Our community has a deep and sophisticated understanding of phase transitions and their universal scaling functions. We outline and advocate an ambitious program to use this unders…
Bifurcation instructed design of multistate machines
Teaya Yang, David Hathcock, Yuchao Chen +4
We propose a novel design paradigm for multistate machines where transitions from one state to another are organized by bifurcations of multiple equilibria of the energy landscape…
Asymptotic absorption-time distributions in extinction-prone Markov processes
David Hathcock, Steven H. Strogatz
We characterize absorption-time distributions for birth-death Markov chains with an absorbing boundary. For "extinction-prone" chains (which drift on average toward the absorbing s…
Reaction rates and the noisy saddle-node bifurcation: Renormalization group for barrier crossing
David Hathcock, James P. Sethna
Barrier crossing calculations in chemical reaction-rate theory typically assume that the barrier is large compared to the temperature. When the barrier vanishes, however, there is…
Fitness dependence of the fixation-time distribution for evolutionary dynamics on graphs
David Hathcock, Steven H. Strogatz
Evolutionary graph theory models the effects of natural selection and random drift on structured populations of competing mutant and non-mutant individuals. Recent studies have fou…
Modeling the Network Dynamics of Pulse-Coupled Neurons
Sarthak Chandra, David Hathcock, Kimberly Crain +3
We derive a mean-field approximation for the macroscopic dynamics of large networks of pulse-coupled theta neurons in order to study the effects of different network degree distrib…
Noise Filtering and Prediction in Biological Signaling Networks
David Hathcock, James Sheehy, Casey Weisenberger +2
Information transmission in biological signaling circuits has often been described using the metaphor of a noise filter. Cellular systems need accurate, real-time data about their…