# Modelling processes on the Z^d-lattice

Sun, 18/03/2018 - 12:00

Speaker:

Nishant Chandgotia, Tel-Aviv University

Seminar:

Place:

Math Colloquium room 201, bldg. 216

Abstract:

Suppose that we are given a stationary stochastic process

{X_n}_{n\in Z}. Can we model it by another stationary stochastic

process {Y_n}_{n\in Z} where Y_n can take only two values? In 1971,

Krieger answered with an affirmative under certain natural

assumptions. It is now well-known that the analogous result holds true

for modelling stationary random fields {X_n}_{n\in Z^d} as well. What

if we now constrain the stationary stochastic process {Y_n}_{n\in Z^d}

to take only three values such that adjacent values are distinct?

Along with Tom Meyerovitch, we find that this is true thereby

answering a question of Şahin and Robinson. No background in

stochastic processes or ergodic theory will be assumed.

- Last modified: 13/03/2018