skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Janjigian, Christopher"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; (, Transactions of the American Mathematical Society)
    We establish the existence of generalized Busemann functions and Gibbs-Dobrushin-Landford-Ruelle measures for a general class of lattice random walks in random potentials with finitely many admissible steps. This class encompasses directed polymers in random environments, first- and last-passage percolation, and elliptic random walks in both static and dynamic random environments in all dimensions and with minimal assumptions on the random potential. 
    more » « less
    Free, publicly-accessible full text available September 29, 2026
  2. ; ; (, Journal of Statistical Physics)
    Free, publicly-accessible full text available June 7, 2026
  3. ; ; (, Probability and Mathematical Physics)
    Full Text Available 
  4. ; ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
    Full Text Available 
  5. ; ; (, Journal of the European Mathematical Society)
    We consider planar directed last-passage percolation on the square lattice with general i.i.d. weights and study the geometry of the full set of semi-infinite geodesics in a typical realization of the random environment. The structure of the geodesics is studied through the properties of the Busemann functions viewed as a stochastic process indexed by the asymptotic direction. Our results are further connected to the ergodic program for and stability properties of random Hamilton–Jacobi equations. In the exactly solvable exponential model, our results specialize to give the first complete characterization of the uniqueness and coalescence structure of the entire family of semi-infinite geodesics for any model of this type. Furthermore, we compute statistics of locations of instability, where we discover an unexpected connection to simple symmetric random walk. 
    more » « less
    Full Text Available 
  6. ; ; (, Electronic Journal of Probability)
    null (Ed.)
    Full Text Available 
  7. ; (, Journal of Statistical Physics)
    Full Text Available 
  8. ; (, Annals of Probability)
    Full Text Available