### Charlas Anteriores

 Dia 2019-04-12 10:30:00-03:00 Hora 2019-04-12 10:30:00-03:00 Lugar Salón de seminarios del piso 14, CMAT

### Estadística para datos en espacios no euclídeos: Algunas contribuciones

#### Leonardo Moreno(Departamento de Métodos Cuantitativos -- Facultad de Ciencias Económicas y de Adminsitración)

Resumen_Tesis Moreno.pdf
 Dia 2019-04-05 10:30:00-03:00 Hora 2019-04-05 10:30:00-03:00 Lugar Salón de seminarios del piso 14, CMAT

### Critical points of random fields.

#### Resumen: The variation of the mean number of critical points as a function of the index is first studied using random matrices tools. In a second part, we study attraction or repulsion between these points again as a function of index. A measure is the correlation function Our results extend the results of Belyaev, Cammarota and Wigman (2017) to dimension greater than 2, and to general isotropic Gaussian random fields, By specifying the indexes, we shows that the attraction between critical points that occurs when the dimension is greater than 2 is due to attraction between critical points with adjacent indexes.

 Dia 2019-03-29 10:30:00-03:00 Hora 2019-03-29 10:30:00-03:00 Lugar Salón de seminarios del piso 14, CMAT

### Dimensión de medidas estacionarias para productos de matrices i.i.d. en dimensión 3

#### Resumen: Discutiremos el resultado de Hochman y Solomyak sobre dimensión de Hausdorff de medidas estacionarias para productos de matrices 2x2. Exploraremos lo que se sabe en dimensión 3 y su relación con resultados clásicos de Guivarc'h, Raugi, Goldsheid, Margulis, y Ledrappier.

 Dia 2019-03-22 10:30:00-03:00 Hora 2019-03-22 10:30:00-03:00 Lugar Salón de seminarios del piso 14, CMAT

### Weak convergence of empirical Wasserstein type distances between to real distributions

#### Resumen: We estimate the Wasserstein type distance between two continuous distributions $F$ and $G$ on $\mathbb R$ such that the set $\{F = G\}$ is a finnite union of intervals, possibly empty or $\mathbb R$. The positive cost function $\rho$ is not necessarily symmetric and the sample may come from any joint distribution $H$ on $\mathbb R^2$ having marginals $F$ and $G$ with light enough tails with respect to $\rho$ . The rates of weak convergence and the limiting distributions are derived in a wide class of situations including the classical distances $W_1$ and $W_2$. The key new assumption in the case $F = G$ involves the behavior of $\rho$ near $0$, which we assume to be regularly varying with index ranging from $1$ to $2$. Rates are then also regularly varying with powers ranging from $1/2$ to $1$ also affecting the limiting distribution, in addition to $H$

 Dia 2019-03-15 10:30:00-03:00 Hora 2019-03-15 10:30:00-03:00 Lugar Salón de seminarios del piso 14, CMAT