Very First Steps in Random Walks

Prof. Dr. Norbert Henze is a Professor of Stochastics at the Karlsruhe Institute of Technology (KIT), Institute of Stochastics, Karlsruhe, Germany. His well-established textbook Stochastics for Beginners (Stochastik für Einsteiger) was first published in 1997.

• 1 Introduction.- 2 The Simple Symmetric Random Walk on Z.- 3 Bridges: The Tied-down Random Walk.- 4 Asymmetric Random Walks on Z and Related Topics.- 5 Random Walks on the Integer Lattice Zd.- 6 Outlook.- 7 Tools from Stochastics, Combinatorics, and Analysis.- Solutions to the Exercises.- Bibliography.