Optimized constitutive distributions visualized by lamina formulas

On the distributions of optimized multiscale representations

Adapted wavelet analysis of signals is achieved by optimizing a selected criterion. We recently introduced a majorization framework for constructing selection functionals, which can be as well suited to compression as entropy or others. We show how these functionals operate on the basis selection and their e ect on the statistics of the resulting representation.

Simple formulas for stationary distributions and stochastically stable states

We derive some simple formulas for limiting stationary distributions for models of stochastic evolution in twostrategy population games. As an application of these formulas, we investigate the robustness of equilibrium selection results to the assumption that the level of noise in agents’ choice rules is vanishingly small.

Recursive formulas for embedding distributions of cubic outerplanar graphs

Recently, the first author and his coauthor proved a k-order homogeneous linear recursion for the genus polynomials of any H-linear family of graphs (called path-like graph families by Mohar). Cubic outerplanar graphs are tree-like graph families. In this paper, we derive a recursive formula for the total embedding distribution of any cubic outerplanar graph. We also obtain explicit formulas fo...

Game theoretic derivation of discrete distributions and discrete pricing formulas

In this expository paper we illustrate the generality of game theoretic probability protocols of Shafer and Vovk (2001) in finite-horizon discrete games. By restricting ourselves to finite-horizon discrete games, we can explicitly describe how discrete distributions with finite support and the discrete pricing formulas, such as the Cox-Ross-Rubinstein formula, are naturally derived from game-th...

Autotaxin/Lysophosphatidic Acid Axis Venules Is Regulated by the across the Basal Lamina of High Endothelial Constitutive Lymphocyte Transmigration