Two Sister Trees, Luna Island

The stereograph features a black and white image of two ice-covered trees. One (right side) is bent to the right. A body of water stands in the background. The image is mounted on a yellow card with rounded corners.https://scholarsjunction.msstate.edu/fvw-photographs/1068/thumbnail.jp

New Suspension Bridge and Falls of Niagara

The stereograph features a black and white image of a horse-drawn carriage and men crossing a bridge across Niagara Falls (possibly the Niagara Clifton Bridge). The image is mounted on an orange card with rounded edges.https://scholarsjunction.msstate.edu/fvw-photographs/1033/thumbnail.jp

Niagara Falls

The stereograph features a black and white image of Niagara Falls taken from a bird\u27s-eye view. The roofs of several buildings as well as the tops of trees may be seen in the image\u27s foreground. The image is mounted on a peach card with rounded corners.https://scholarsjunction.msstate.edu/fvw-artifacts/1335/thumbnail.jp

Niagara Falls

The stereograph features a black and white image of Niagara Falls taken from a bird\u27s-eye view. The roofs of several buildings as well as the tops of trees may be seen in the image\u27s foreground. The image is mounted on a peach card with rounded corners.https://scholarsjunction.msstate.edu/fvw-photographs/1050/thumbnail.jp

Large deviations for Brownian motion in a random scenery

We prove large deviations principles in large time, for the Brownian occupation time in random scenery. The random scenery is constant on unit cubes, and consist of i.i.d. bounded variables, independent of the Brownian motion. This model is a time-continuous version of Kesten and Spitzer's random walk in random scenery. We prove large deviations principles in ``quenched'' and ``annealed'' settings.Comment: 29 page

Two Sister Trees, Luna Island

The stereograph features a black and white image of two ice-covered trees. One (right side) is bent to the right. A body of water stands in the background. The image is mounted on a yellow card with rounded corners.https://scholarsjunction.msstate.edu/fvw-artifacts/1353/thumbnail.jp

Piazza of Hotel and Stage Coaches

The stereograph features a black and white image of a stage coach loaded with a group of people. The coach passes in front of a hotel building (possibly the William Henry Hotel), which is pictured in the background. The image is mounted on a yellow card with rounded edges.https://scholarsjunction.msstate.edu/fvw-photographs/1402/thumbnail.jp

The quenched limiting distributions of a one-dimensional random walk in random scenery

For a one-dimensional random walk in random scenery (RWRS) on Z, we determine its quenched weak limits by applying Strassen's functional law of the iterated logarithm. As a consequence, conditioned on the random scenery, the one-dimensional RWRS does not converge in law, in contrast with the multi-dimensional case