93 citations · 395 across the 25 of their papers we have counts for
9 papers · 1 filter
Thermal statistics of small magnets
Lukas Herron, Purushottam Dixit
While the canonical ensemble has been tremendously successful in capturing thermal statistics of macroscopic systems, deviations from canonical behavior exhibited by small systems…
TMI: Thermodynamic inference of data manifolds
Purushottam D. Dixit
The Gibbs-Boltzmann distribution offers a physically interpretable way to massively reduce the dimensionality of high dimensional probability distributions where the extensive vari…
Maximum Caliber: a general variational principle for dynamical systems
Purushottam D. Dixit, Jason Wagoner, Corey Weistuch +3
We review here {\it Maximum Caliber} (Max Cal), a general variational principle for inferring distributions of paths in dynamical processes and networks. Max Cal is to dynamical tr…
Caliber Corrected Markov Modeling (C2M2): Correcting Equilibrium Markov models
Purushottam D. Dixit, Ken A. Dill
Rate processes are often modeled using Markov-State Models (MSM). Suppose you know a prior MSM, and then learn that your prediction of some particular observable rate is wrong. Wha…
Mini-grand canonical ensemble: chemical potential in the solvation shell
Purushottam D. Dixit, Artee Bansal, Walter G. Chapman +1
Quantifying the statistics of occupancy of solvent molecules in the vicinity of solutes is central to our understanding of solvation phenomena. Number fluctuations in small `solvat…
Stationary properties of maximum entropy random walks
Purushottam D. Dixit
Maximum entropy (maxEnt) inference of state probabilities using state-dependent constraints is popular in the study of complex systems. In stochastic dynamical systems, the effect…