Displaying similar documents to “Approximate differentiation: Jarník points”

Nash Equilibria in a class of Markov stopping games

Rolando Cavazos-Cadena, Daniel Hernández-Hernández (2012)



This work concerns a class of discrete-time, zero-sum games with two players and Markov transitions on a denumerable space. At each decision time player II can stop the system paying a terminal reward to player I and, if the system is no halted, player I selects an action to drive the system and receives a running reward from player II. Measuring the performance of a pair of decision strategies by the total expected discounted reward, under standard continuity-compactness conditions...

Badly approximable systems of linear forms over a field of formal series

Simon Kristensen (2006)

Journal de Théorie des Nombres de Bordeaux


We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field is maximal. This is an analogue of Schmidt’s multi-dimensional generalisation of Jarník’s Theorem on badly approximable numbers.