| Título: | Uniform bounds for exponential moment of maximum of a Dyck path |
| Autores: |
Khorunzhiy, Oleksiy; Université de Versailles, France Marckert, Jean-François; CNRS, LabRI, Université de Bordeaux |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Dyck paths; Bernoulli bridge; random matrices 60C05; 60G70; 60F99 |
| Descripción: | Let us consider the maximum $M(D)$ of a Dyck path $D$ chosen uniformly in the set of Dyck paths with $2n$ steps. We prove that the exponential moment of $M(D)$ normalized by the square root of $n$ is bounded in the limit of infinite $n$. This uniform bound justifies an assumption used in literature to prove certain estimates of high moments of large random matrices. |
| Idioma: | No aplica |
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