|
|
|
|
| LEADER |
01774 am a22002653u 4500 |
| 001 |
118607 |
| 042 |
|
|
|a dc
|
| 100 |
1 |
0 |
|a Corwin, Ivan
|e author
|
| 100 |
1 |
0 |
|a Borodin, Alexei
|e contributor
|
| 700 |
1 |
0 |
|a Ferrari, Patrik L.
|e author
|
| 700 |
1 |
0 |
|a Borodin, Alexei
|e author
|
| 245 |
0 |
0 |
|a Anisotropic (2+1)d growth and Gaussian limits of q-Whittaker processes
|
| 260 |
|
|
|b Springer Berlin Heidelberg,
|c 2018-10-18T17:00:04Z.
|
| 856 |
|
|
|z Get fulltext
|u http://hdl.handle.net/1721.1/118607
|
| 520 |
|
|
|a Abstract We consider a discrete model for anisotropic (2 + 1)-dimensional growth of an interface height function. Owing to a connection with q-Whittaker functions, this system enjoys many explicit integral formulas. By considering certain Gaussian stochastic differential equation limits of the model we are able to prove a space-time limit of covariances to those of the (2 + 1)-dimensional additive stochastic heat equation (or Edwards-Wilkinson equation) along characteristic directions. In particular, the bulk height function converges to the Gaussian free field which evolves according to this stochastic PDE. Keywords: 2+1 growth models, KPZ universality class, q-Whittaker processes, Gaussian Free Field, Space-time process
|
| 520 |
|
|
|a Galileo Galilei Institute for Theoretical Physics (Arcetri, Italy)
|
| 520 |
|
|
|a Kavli Institute for Theoretical Physics
|
| 520 |
|
|
|a National Science Foundation (U.S.) (Grant PHY-1125915)
|
| 520 |
|
|
|a National Science Foundation (U.S.) (Grant DMS-1056390)
|
| 520 |
|
|
|a National Science Foundation (U.S.) (Grant DMS-1607901)
|
| 520 |
|
|
|a Simons Foundation. Postdoctoral Fellowship
|
| 520 |
|
|
|a Radcliffe Institute for Advanced Study (Fellowship)
|
| 546 |
|
|
|a en
|
| 655 |
7 |
|
|a Article
|
| 773 |
|
|
|t Probability Theory and Related Fields
|
