Add to ORKGWe describe the scaling scenery associated to Bernoulli measures supported on separated self-affine sets under the condition that certain projections of the measure are absolutely continuous.PostprintNon peer reviewe
We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinki...
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral en...
This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic math...
We employ the ergodic-theoretic machinery of scenery flows to address classical geometric measure-th...
Abstract. We expand the ergodic theory developed by Furstenberg and Hochman on dynamical systems tha...
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of ...
The authors were financially supported by an LMS Scheme 4 Research in Pairs grant. The second author...
Abstract We show that self-similar measures on ℝᵈ satisfying the weak separation condit...
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number ...
The author was supported by the EPSRC grant EP/J013560/1. This work was started whilst the author wa...
This thesis is based on three papers the author wrote during his time as a PhD student [28, 17, 33]...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
This dissertation is devoted to the measure theoretical aspects of the theory of automata and groups...
We show that in many parametrized families of self-similar measures, their projections, and their co...
Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-simila...
We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinki...
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral en...
This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic math...
We employ the ergodic-theoretic machinery of scenery flows to address classical geometric measure-th...
Abstract. We expand the ergodic theory developed by Furstenberg and Hochman on dynamical systems tha...
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of ...
The authors were financially supported by an LMS Scheme 4 Research in Pairs grant. The second author...
Abstract We show that self-similar measures on ℝᵈ satisfying the weak separation condit...
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number ...
The author was supported by the EPSRC grant EP/J013560/1. This work was started whilst the author wa...
This thesis is based on three papers the author wrote during his time as a PhD student [28, 17, 33]...
We study the dimension theory of a class of planar self-affine multifractal measures. These mea-sure...
This dissertation is devoted to the measure theoretical aspects of the theory of automata and groups...
We show that in many parametrized families of self-similar measures, their projections, and their co...
Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-simila...
We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinki...
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral en...
This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic math...