Littelmann paths and Brownian paths
By Philippe Biane, P. Bougerol, Neil O'Connell. 2004
148 citations recorded by the source corpus.
We study some path transformations related to Littelmann path model and their applications to representation theory and Brownian motion in a Weyl chamber.
Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/2a59f601087c6f6a9162c7a874ad2cb621820eb0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
- Ivan Corwin
- Neil O'Connell
- T. Seppalainen
- Nikos Zygouras
- Janosch Ortmann
- Duncan Dauvergne
- Marc Yor
- Alexei Borodin
In Mathematical Physics
- Ivan Corwin
- Neil O'Connell
- T. Seppalainen
- Alexei Borodin
- Nikos Zygouras
- Marc Yor
- Janosch Ortmann
- Duncan Dauvergne
In Statistics and Probability
- Ivan Corwin
- Neil O'Connell
- T. Seppalainen
- Alexei Borodin
- Nikos Zygouras
- Marc Yor
- Janosch Ortmann
- Duncan Dauvergne
Citations in the corpus
- Some new examples of Markov processes which enjoy the time-inversion property (2005, methodology): “the Brownian motion in the Weyl chamber C of [ 1 ].”
- The directed landscape (2018, background): “This approach is taken in O’Connell et al. (2002), Biane et al. (2005).”
- Tropical Combinatorics and Whittaker functions (2011, result): “The inspiration behind finding these kernels came from the related work [44] (in which the kernel K θ also appears and plays a similarly important role) as well as earlier work in which analogous results were obtained in the context of the usual RSK correspondence [45, 46, 10, 11] (see also §§ 3.”
- Directed polymers and the quantum Toda lattice (2009, methodology): “The definition of the operator T extends naturally to other Lie algebras, with SN replaced by the corresponding Weyl group [5, 6].”