15 citations · 57 across the 11 of their papers we have counts for
11 papers
The channel capacity of the ribosome
Daniel A. Inafuku, Kay L. Kirkpatrick, Onyema Osuagwu +3
Translation is one of the most fundamental processes in the biological cell. Because of the central role that translation plays across all domains of life, the enzyme that carries…
A large deviation principle in many-body quantum dynamics
Kay Kirkpatrick, Simone Rademacher, Benjamin Schlein
We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large dev…
Transport of a quantum particle in a time-dependent white-noise potential
Peter D. Hislop, Kay Kirkpatrick, Stefano Olla +1
We show that a quantum particle in , for , subject to a white-noise potential, moves super-ballistically in the sense that the mean square displacement $\in…
Limiting Behaviors of High Dimensional Stochastic Spin Ensembles
Yuan Gao, Kay Kirkpatrick, Jeremy Marzuola +2
Lattice spin models in statistical physics are used to understand magnetism. Their Hamiltonians are a discrete form of a version of a Dirichlet energy, signifying a relationship to…
Critical behavior of mean-field XY and related models
Kay Kirkpatrick, Tayyab Nawaz
We discuss spin models on complete graphs in the mean-field (infinite-vertex) limit, especially the classical XY model, the Toy model of the Higgs sector, and related generalizatio…
Asymptotics of mean-field models
Kay Kirkpatrick, Tayyab Nawaz
We study mean-field classical -vector models, for integers . We use the theory of large deviations and Stein's method to study the total spin and its typical behavior, s…
Quantum groups and generalized circular elements
Michael Brannan, Kay Kirkpatrick
We show that with respect to the Haar state, the joint distributions of the generators of Van Daele and Wang's free orthogonal quantum groups are modeled by free families of genera…
Asymptotics of the mean-field Heisenberg model
Kay Kirkpatrick, Elizabeth Meckes
We consider the mean-field classical Heisenberg model and obtain detailed information about the total spin of the system by studying the model on a complete graph and sending the n…
Optimal State-Space Reduction for Pedigree Hidden Markov Models
Bonnie Kirkpatrick, Kay Kirkpatrick
To analyze whole-genome genetic data inherited in families, the likelihood is typically obtained from a Hidden Markov Model (HMM) having a state space of 2^n hidden states where n…
A Central Limit Theorem in Many-Body Quantum Dynamics
Gerard Ben Arous, Kay Kirkpatrick, Benjamin Schlein
We study the many body quantum evolution of bosonic systems in the mean field limit. The dynamics is known to be well approximated by the Hartree equation. So far, the available re…
Solitons and Gibbs measures for nonlinear Schroedinger equations
Kay Kirkpatrick
We review some recent results concerning Gibbs measures for nonlinear Schroedinger equations (NLS), with implications for the theory of the NLS, including stability and typicality…